{
  "name": "CalculatorX",
  "description": "Deterministic calculation tools for people and AI agents. Prefer the HTTP Calculation API; use embed URLs for interactive widgets. Trust levels: engineTested (automated checks) vs verified (expert-reviewed with reviewedBy).",
  "version": "1.0.0",
  "generatedAt": "2026-11-10T06:33:20.001Z",
  "homepage": "https://www.calculatorx.com",
  "documentation": "https://www.calculatorx.com/developers",
  "privacy": "https://www.calculatorx.com/privacy",
  "catalog": {
    "method": "GET",
    "url": "https://www.calculatorx.com/api/v1/calc"
  },
  "calculate": {
    "method": "POST",
    "url_template": "https://www.calculatorx.com/api/v1/calc/{engineId}",
    "content_type": "application/json",
    "body": "{ \"inputs\": { … } }"
  },
  "registry": "https://www.calculatorx.com/.well-known/calculatorx-spec-registry.json",
  "mcp": {
    "remote": "https://www.calculatorx.com/mcp",
    "transport": "http+jsonrpc",
    "tools": [
      "search_capabilities",
      "inspect_capability",
      "execute_calculation",
      "compute_paid"
    ],
    "note": "Remote MCP at POST /mcp (same origin). Local stdio: npm run mcp:stub.",
    "command": "node",
    "args": [
      "scripts/mcp-stdio-stub.mjs"
    ]
  },
  "tools": [
    {
      "name": "amps-to-va",
      "engine": "amps-va",
      "description": "mode (amps-va|va-amps|amps-kva), primary, volts (>0), phase (single|three L-L balanced sinusoidal); optional pf/power_factor in [0,1]",
      "page": "https://www.calculatorx.com/calc/electric/amps-to-va",
      "endpoint": "https://www.calculatorx.com/api/v1/calc/amps-to-va",
      "capability_id": "electrical.apparent_power",
      "calculation_version": "1.4.3",
      "tier": "engine_tested",
      "input_schema": "https://www.calculatorx.com/schemas/electrical.apparent_power.input.json",
      "output_schema": "https://www.calculatorx.com/schemas/electrical.apparent_power.output.json",
      "evidence": "https://www.calculatorx.com/evidence/electrical.apparent_power/1.4.3.json",
      "trust": {
        "engine_tested": true,
        "expert_reviewed": false,
        "internally_reviewed": false,
        "review_kind": null,
        "source_checked": true,
        "reviewed_by": null,
        "reviewer_role": null,
        "last_reviewed": null,
        "version_lock_supported": true,
        "expert_review_status": "optional_not_performed",
        "internal_review_status": "not_applicable"
      }
    },
    {
      "name": "watts-to-amps",
      "engine": "watts-amps",
      "description": "dir (w-a|a-w), powerOrCurrent, volts, circuit (dc|single|three), pf",
      "page": "https://www.calculatorx.com/calc/electric/watts-to-amps",
      "endpoint": "https://www.calculatorx.com/api/v1/calc/watts-to-amps",
      "capability_id": "electrical.watts_amps",
      "calculation_version": "1.4.1",
      "tier": "engine_tested",
      "input_schema": "https://www.calculatorx.com/schemas/electrical.watts_amps.input.json",
      "output_schema": "https://www.calculatorx.com/schemas/electrical.watts_amps.output.json",
      "evidence": "https://www.calculatorx.com/evidence/electrical.watts_amps/1.4.1.json",
      "trust": {
        "engine_tested": true,
        "expert_reviewed": false,
        "internally_reviewed": false,
        "review_kind": null,
        "source_checked": true,
        "reviewed_by": null,
        "reviewer_role": null,
        "last_reviewed": null,
        "version_lock_supported": true,
        "expert_review_status": "optional_not_performed",
        "internal_review_status": "not_applicable"
      }
    },
    {
      "name": "ohms-law",
      "engine": "ohms-law",
      "description": "any two of V, I, R, P",
      "page": "https://www.calculatorx.com/calc/electric/ohms-law",
      "endpoint": "https://www.calculatorx.com/api/v1/calc/ohms-law",
      "capability_id": "electrical.ohms_law",
      "calculation_version": "1.5.1",
      "tier": "internally_reviewed",
      "input_schema": "https://www.calculatorx.com/schemas/electrical.ohms_law.input.json",
      "output_schema": "https://www.calculatorx.com/schemas/electrical.ohms_law.output.json",
      "evidence": "https://www.calculatorx.com/evidence/electrical.ohms_law/1.5.1.json",
      "trust": {
        "engine_tested": true,
        "expert_reviewed": false,
        "internally_reviewed": true,
        "review_kind": "internal",
        "source_checked": true,
        "reviewed_by": "CalculatorX electrical review",
        "reviewer_role": "electrical-engineer",
        "last_reviewed": "2026-08-08",
        "version_lock_supported": true,
        "expert_review_status": "not_applicable",
        "internal_review_status": "approved"
      }
    },
    {
      "name": "power-factor",
      "engine": "power-factor",
      "description": "mode (single|three-ll|three-ln), V, I, P_kW",
      "page": "https://www.calculatorx.com/calc/electric/power-factor",
      "endpoint": "https://www.calculatorx.com/api/v1/calc/power-factor",
      "capability_id": "electrical.power_factor",
      "calculation_version": "1.5.1",
      "tier": "engine_tested",
      "input_schema": "https://www.calculatorx.com/schemas/electrical.power_factor.input.json",
      "output_schema": "https://www.calculatorx.com/schemas/electrical.power_factor.output.json",
      "evidence": "https://www.calculatorx.com/evidence/electrical.power_factor/1.5.1.json",
      "trust": {
        "engine_tested": true,
        "expert_reviewed": false,
        "internally_reviewed": false,
        "review_kind": null,
        "source_checked": true,
        "reviewed_by": null,
        "reviewer_role": null,
        "last_reviewed": null,
        "version_lock_supported": true,
        "expert_review_status": "optional_not_performed",
        "internal_review_status": "not_applicable"
      }
    },
    {
      "name": "voltage-drop",
      "engine": "voltage-drop",
      "description": "mode (dc|three), I, length_m, R_ohm_per_km; optional V_system (>0; L-L for 3φ); optional u_I, u_length_m, u_R_ohm_per_km + uncertainty_k XOR confidence",
      "page": "https://www.calculatorx.com/calc/wire/voltage-drop",
      "endpoint": "https://www.calculatorx.com/api/v1/calc/voltage-drop",
      "capability_id": "electrical.voltage_drop",
      "calculation_version": "1.5.2",
      "tier": "engine_tested",
      "input_schema": "https://www.calculatorx.com/schemas/electrical.voltage_drop.input.json",
      "output_schema": "https://www.calculatorx.com/schemas/electrical.voltage_drop.output.json",
      "evidence": "https://www.calculatorx.com/evidence/electrical.voltage_drop/1.5.2.json",
      "trust": {
        "engine_tested": true,
        "expert_reviewed": false,
        "internally_reviewed": false,
        "review_kind": null,
        "source_checked": true,
        "reviewed_by": null,
        "reviewer_role": null,
        "last_reviewed": null,
        "version_lock_supported": true,
        "expert_review_status": "optional_not_performed",
        "internal_review_status": "not_applicable"
      }
    },
    {
      "name": "voltage-divider",
      "engine": "voltage-divider",
      "description": "exactly three of Vin, R1, R2, Vout",
      "page": "https://www.calculatorx.com/calc/electric/voltage-divider",
      "endpoint": "https://www.calculatorx.com/api/v1/calc/voltage-divider",
      "capability_id": "electrical.voltage_divider",
      "calculation_version": "1.5.1",
      "tier": "engine_tested",
      "input_schema": "https://www.calculatorx.com/schemas/electrical.voltage_divider.input.json",
      "output_schema": "https://www.calculatorx.com/schemas/electrical.voltage_divider.output.json",
      "evidence": "https://www.calculatorx.com/evidence/electrical.voltage_divider/1.5.1.json",
      "trust": {
        "engine_tested": true,
        "expert_reviewed": false,
        "internally_reviewed": false,
        "review_kind": null,
        "source_checked": true,
        "reviewed_by": null,
        "reviewer_role": null,
        "last_reviewed": null,
        "version_lock_supported": true,
        "expert_review_status": "optional_not_performed",
        "internal_review_status": "not_applicable"
      }
    },
    {
      "name": "energy-consumption",
      "engine": "energy",
      "description": "W, hours",
      "page": "https://www.calculatorx.com/calc/electric/energy-consumption",
      "endpoint": "https://www.calculatorx.com/api/v1/calc/energy-consumption",
      "capability_id": "electrical.energy_consumption",
      "calculation_version": "1.4.2",
      "tier": "internally_reviewed",
      "input_schema": "https://www.calculatorx.com/schemas/electrical.energy_consumption.input.json",
      "output_schema": "https://www.calculatorx.com/schemas/electrical.energy_consumption.output.json",
      "evidence": "https://www.calculatorx.com/evidence/electrical.energy_consumption/1.4.2.json",
      "trust": {
        "engine_tested": true,
        "expert_reviewed": false,
        "internally_reviewed": true,
        "review_kind": "internal",
        "source_checked": true,
        "reviewed_by": "CalculatorX electrical review",
        "reviewer_role": "electrical-engineer",
        "last_reviewed": "2026-09-13",
        "version_lock_supported": true,
        "expert_review_status": "not_applicable",
        "internal_review_status": "approved"
      }
    },
    {
      "name": "battery-runtime",
      "engine": "battery-runtime",
      "description": "mode (watts|amps), capacity_Ah XOR capacity_mAh, V (>0), P_W (load-side) or I_A (battery-side); optional dod; eta (watts only); optional u_* + uncertainty_k XOR confidence",
      "page": "https://www.calculatorx.com/calc/electric/battery-runtime",
      "endpoint": "https://www.calculatorx.com/api/v1/calc/battery-runtime",
      "capability_id": "electrical.battery_runtime",
      "calculation_version": "1.2.1",
      "tier": "internally_reviewed",
      "input_schema": "https://www.calculatorx.com/schemas/electrical.battery_runtime.input.json",
      "output_schema": "https://www.calculatorx.com/schemas/electrical.battery_runtime.output.json",
      "evidence": "https://www.calculatorx.com/evidence/electrical.battery_runtime/1.2.1.json",
      "trust": {
        "engine_tested": true,
        "expert_reviewed": false,
        "internally_reviewed": true,
        "review_kind": "internal",
        "source_checked": true,
        "reviewed_by": "CalculatorX electrical review",
        "reviewer_role": "electrical-engineer",
        "last_reviewed": "2026-08-12",
        "version_lock_supported": true,
        "expert_review_status": "not_applicable",
        "internal_review_status": "approved"
      }
    },
    {
      "name": "rc-time-constant",
      "engine": "rc-time-constant",
      "description": "any two of R (Ω), C (F), tau (s) — all > 0",
      "page": "https://www.calculatorx.com/calc/electric/rc-time-constant",
      "endpoint": "https://www.calculatorx.com/api/v1/calc/rc-time-constant",
      "capability_id": "electrical.rc_time_constant",
      "calculation_version": "1.0.0",
      "tier": "internally_reviewed",
      "input_schema": "https://www.calculatorx.com/schemas/electrical.rc_time_constant.input.json",
      "output_schema": "https://www.calculatorx.com/schemas/electrical.rc_time_constant.output.json",
      "evidence": "https://www.calculatorx.com/evidence/electrical.rc_time_constant/1.0.0.json",
      "trust": {
        "engine_tested": true,
        "expert_reviewed": false,
        "internally_reviewed": true,
        "review_kind": "internal",
        "source_checked": true,
        "reviewed_by": "CalculatorX electrical review",
        "reviewer_role": "electrical-engineer",
        "last_reviewed": "2026-08-08",
        "version_lock_supported": true,
        "expert_review_status": "not_applicable",
        "internal_review_status": "approved"
      }
    },
    {
      "name": "rlc-resonance",
      "engine": "rlc-resonance",
      "description": "mode (series|parallel), L (H), C (F), R (Ω) — all > 0",
      "page": "https://www.calculatorx.com/calc/electric/rlc-resonance",
      "endpoint": "https://www.calculatorx.com/api/v1/calc/rlc-resonance",
      "capability_id": "electrical.rlc_resonance",
      "calculation_version": "1.0.0",
      "tier": "internally_reviewed",
      "input_schema": "https://www.calculatorx.com/schemas/electrical.rlc_resonance.input.json",
      "output_schema": "https://www.calculatorx.com/schemas/electrical.rlc_resonance.output.json",
      "evidence": "https://www.calculatorx.com/evidence/electrical.rlc_resonance/1.0.0.json",
      "trust": {
        "engine_tested": true,
        "expert_reviewed": false,
        "internally_reviewed": true,
        "review_kind": "internal",
        "source_checked": true,
        "reviewed_by": "CalculatorX electrical review",
        "reviewer_role": "electrical-engineer",
        "last_reviewed": "2026-08-08",
        "version_lock_supported": true,
        "expert_review_status": "not_applicable",
        "internal_review_status": "approved"
      }
    },
    {
      "name": "mosfet-conduction-loss",
      "engine": "mosfet-conduction-loss",
      "description": "I (A) > 0, Rds (Ω) > 0, current_basis required (dc|on_interval_rms|full_cycle_rms); optional D; optional Rds(Tj): temperature_model none|linear|ratio, Tj_C, Tref_C, alpha_per_C, rds_ratio",
      "page": "https://www.calculatorx.com/calc/electric/mosfet-conduction-loss",
      "endpoint": "https://www.calculatorx.com/api/v1/calc/mosfet-conduction-loss",
      "capability_id": "electrical.mosfet.conduction_loss",
      "calculation_version": "1.2.2",
      "tier": "internally_reviewed",
      "input_schema": "https://www.calculatorx.com/schemas/electrical.mosfet.conduction_loss.input.json",
      "output_schema": "https://www.calculatorx.com/schemas/electrical.mosfet.conduction_loss.output.json",
      "evidence": "https://www.calculatorx.com/evidence/electrical.mosfet.conduction_loss/1.2.2.json",
      "trust": {
        "engine_tested": true,
        "expert_reviewed": false,
        "internally_reviewed": true,
        "review_kind": "internal",
        "source_checked": true,
        "reviewed_by": "CalculatorX electrical review (EE-001)",
        "reviewer_role": "electrical-engineer",
        "last_reviewed": "2026-08-14",
        "version_lock_supported": true,
        "expert_review_status": "not_applicable",
        "internal_review_status": "approved"
      }
    },
    {
      "name": "pcb-trace-width",
      "engine": "pcb-trace-width",
      "description": "mode (width|current), dT (°C)>0, copper_oz>0, layer (external|internal); I or width_mil; optional u_I|u_width_mil, u_dT, u_copper_oz + uncertainty_k|confidence",
      "page": "https://www.calculatorx.com/calc/electric/pcb-trace-width",
      "endpoint": "https://www.calculatorx.com/api/v1/calc/pcb-trace-width",
      "capability_id": "electrical.pcb.trace_width",
      "calculation_version": "1.1.1",
      "tier": "internally_reviewed",
      "input_schema": "https://www.calculatorx.com/schemas/electrical.pcb.trace_width.input.json",
      "output_schema": "https://www.calculatorx.com/schemas/electrical.pcb.trace_width.output.json",
      "evidence": "https://www.calculatorx.com/evidence/electrical.pcb.trace_width/1.1.1.json",
      "trust": {
        "engine_tested": true,
        "expert_reviewed": false,
        "internally_reviewed": true,
        "review_kind": "internal",
        "source_checked": true,
        "reviewed_by": "CalculatorX electrical review",
        "reviewer_role": "electrical-engineer",
        "last_reviewed": "2026-08-10",
        "version_lock_supported": true,
        "expert_review_status": "not_applicable",
        "internal_review_status": "approved"
      }
    },
    {
      "name": "lpf",
      "engine": "lpf",
      "description": "any two of R (Ω), C (F), fc (Hz); optional f (Hz) for |H|",
      "page": "https://www.calculatorx.com/calc/electric/lpf",
      "endpoint": "https://www.calculatorx.com/api/v1/calc/lpf",
      "capability_id": "electrical.lpf",
      "calculation_version": "1.0.0",
      "tier": "internally_reviewed",
      "input_schema": "https://www.calculatorx.com/schemas/electrical.lpf.input.json",
      "output_schema": "https://www.calculatorx.com/schemas/electrical.lpf.output.json",
      "evidence": "https://www.calculatorx.com/evidence/electrical.lpf/1.0.0.json",
      "trust": {
        "engine_tested": true,
        "expert_reviewed": false,
        "internally_reviewed": true,
        "review_kind": "internal",
        "source_checked": true,
        "reviewed_by": "CalculatorX electrical review",
        "reviewer_role": "electrical-engineer",
        "last_reviewed": "2026-08-08",
        "version_lock_supported": true,
        "expert_review_status": "not_applicable",
        "internal_review_status": "approved"
      }
    },
    {
      "name": "fspl",
      "engine": "fspl",
      "description": "d_m > 0, f_Hz > 0; optional Gt_dBi, Gr_dBi",
      "page": "https://www.calculatorx.com/calc/electric/fspl",
      "endpoint": "https://www.calculatorx.com/api/v1/calc/fspl",
      "capability_id": "electrical.rf.fspl",
      "calculation_version": "1.0.0",
      "tier": "internally_reviewed",
      "input_schema": "https://www.calculatorx.com/schemas/electrical.rf.fspl.input.json",
      "output_schema": "https://www.calculatorx.com/schemas/electrical.rf.fspl.output.json",
      "evidence": "https://www.calculatorx.com/evidence/electrical.rf.fspl/1.0.0.json",
      "trust": {
        "engine_tested": true,
        "expert_reviewed": false,
        "internally_reviewed": true,
        "review_kind": "internal",
        "source_checked": true,
        "reviewed_by": "CalculatorX electrical review",
        "reviewer_role": "electrical-engineer",
        "last_reviewed": "2026-08-08",
        "version_lock_supported": true,
        "expert_review_status": "not_applicable",
        "internal_review_status": "approved"
      }
    },
    {
      "name": "mosfet-switching-loss",
      "engine": "mosfet-switching-loss",
      "description": "Vds, Id, tr, tf, f_sw > 0; optional Qg+Vdrive for gate-drive power",
      "page": "https://www.calculatorx.com/calc/electric/mosfet-switching-loss",
      "endpoint": "https://www.calculatorx.com/api/v1/calc/mosfet-switching-loss",
      "capability_id": "electrical.mosfet.switching_loss",
      "calculation_version": "1.0.0",
      "tier": "internally_reviewed",
      "input_schema": "https://www.calculatorx.com/schemas/electrical.mosfet.switching_loss.input.json",
      "output_schema": "https://www.calculatorx.com/schemas/electrical.mosfet.switching_loss.output.json",
      "evidence": "https://www.calculatorx.com/evidence/electrical.mosfet.switching_loss/1.0.0.json",
      "trust": {
        "engine_tested": true,
        "expert_reviewed": false,
        "internally_reviewed": true,
        "review_kind": "internal",
        "source_checked": true,
        "reviewed_by": "CalculatorX electrical review",
        "reviewer_role": "electrical-engineer",
        "last_reviewed": "2026-08-16",
        "version_lock_supported": true,
        "expert_review_status": "not_applicable",
        "internal_review_status": "approved"
      }
    },
    {
      "name": "mosfet-total-loss",
      "engine": "mosfet-total-loss",
      "description": "I, Rds, current_basis required, Vds, Id, tr, tf, f_sw > 0; optional D, Rds(Tj), Qg+Vdrive, Coss|Eoss, Qrr, Ta_C+Rth_JA",
      "page": "https://www.calculatorx.com/calc/electric/mosfet-total-loss",
      "endpoint": "https://www.calculatorx.com/api/v1/calc/mosfet-total-loss",
      "capability_id": "electrical.mosfet.total_loss",
      "calculation_version": "1.1.2",
      "tier": "internally_reviewed",
      "input_schema": "https://www.calculatorx.com/schemas/electrical.mosfet.total_loss.input.json",
      "output_schema": "https://www.calculatorx.com/schemas/electrical.mosfet.total_loss.output.json",
      "evidence": "https://www.calculatorx.com/evidence/electrical.mosfet.total_loss/1.1.2.json",
      "trust": {
        "engine_tested": true,
        "expert_reviewed": false,
        "internally_reviewed": true,
        "review_kind": "internal",
        "source_checked": true,
        "reviewed_by": "CalculatorX electrical review (EE-001)",
        "reviewer_role": "electrical-engineer",
        "last_reviewed": "2026-08-19",
        "version_lock_supported": true,
        "expert_review_status": "not_applicable",
        "internal_review_status": "approved"
      }
    },
    {
      "name": "battery-runtime-temp",
      "engine": "battery-runtime-temp",
      "description": "BatteryRuntimeBaseInput (watts load-side / amps battery-side) + T_C; optional temperature_model (generic_cold_derating|custom_symmetric_linear), k_T (≥0, default 0.006 planning)",
      "page": "https://www.calculatorx.com/calc/electric/battery-runtime-temp",
      "endpoint": "https://www.calculatorx.com/api/v1/calc/battery-runtime-temp",
      "capability_id": "electrical.battery.runtime_temp",
      "calculation_version": "1.2.1",
      "tier": "internally_reviewed",
      "input_schema": "https://www.calculatorx.com/schemas/electrical.battery.runtime_temp.input.json",
      "output_schema": "https://www.calculatorx.com/schemas/electrical.battery.runtime_temp.output.json",
      "evidence": "https://www.calculatorx.com/evidence/electrical.battery.runtime_temp/1.2.1.json",
      "trust": {
        "engine_tested": true,
        "expert_reviewed": false,
        "internally_reviewed": true,
        "review_kind": "internal",
        "source_checked": true,
        "reviewed_by": "CalculatorX electrical review",
        "reviewer_role": "electrical-engineer",
        "last_reviewed": "2026-08-12",
        "version_lock_supported": true,
        "expert_review_status": "not_applicable",
        "internal_review_status": "approved"
      }
    },
    {
      "name": "parallel-resistor",
      "engine": "parallel-resistor",
      "description": "R_ohm[] ≥2 or R1,R2,… each >0",
      "page": "https://www.calculatorx.com/calc/electric/parallel-resistor",
      "endpoint": "https://www.calculatorx.com/api/v1/calc/parallel-resistor",
      "capability_id": "electrical.parallel_resistor",
      "calculation_version": "1.0.0",
      "tier": "internally_reviewed",
      "input_schema": "https://www.calculatorx.com/schemas/electrical.parallel_resistor.input.json",
      "output_schema": "https://www.calculatorx.com/schemas/electrical.parallel_resistor.output.json",
      "evidence": "https://www.calculatorx.com/evidence/electrical.parallel_resistor/1.0.0.json",
      "trust": {
        "engine_tested": true,
        "expert_reviewed": false,
        "internally_reviewed": true,
        "review_kind": "internal",
        "source_checked": true,
        "reviewed_by": "CalculatorX electrical review",
        "reviewer_role": "electrical-engineer",
        "last_reviewed": "2026-08-08",
        "version_lock_supported": true,
        "expert_review_status": "not_applicable",
        "internal_review_status": "approved"
      }
    },
    {
      "name": "pcb-microstrip",
      "engine": "pcb-microstrip",
      "description": "mode z0|width; H_m, er>1; W_m or Z0_ohm",
      "page": "https://www.calculatorx.com/calc/electric/pcb-microstrip",
      "endpoint": "https://www.calculatorx.com/api/v1/calc/pcb-microstrip",
      "capability_id": "electrical.pcb.microstrip",
      "calculation_version": "1.0.0",
      "tier": "internally_reviewed",
      "input_schema": "https://www.calculatorx.com/schemas/electrical.pcb.microstrip.input.json",
      "output_schema": "https://www.calculatorx.com/schemas/electrical.pcb.microstrip.output.json",
      "evidence": "https://www.calculatorx.com/evidence/electrical.pcb.microstrip/1.0.0.json",
      "trust": {
        "engine_tested": true,
        "expert_reviewed": false,
        "internally_reviewed": true,
        "review_kind": "internal",
        "source_checked": true,
        "reviewed_by": "CalculatorX electrical review",
        "reviewer_role": "electrical-engineer",
        "last_reviewed": "2026-08-08",
        "version_lock_supported": true,
        "expert_review_status": "not_applicable",
        "internal_review_status": "approved"
      }
    },
    {
      "name": "pcb-via-current",
      "engine": "pcb-via-current",
      "description": "mode current|drill; dT; d_drill_m or I_A; optional t_plating_m, n_vias",
      "page": "https://www.calculatorx.com/calc/electric/pcb-via-current",
      "endpoint": "https://www.calculatorx.com/api/v1/calc/pcb-via-current",
      "capability_id": "electrical.pcb.via_current",
      "calculation_version": "1.0.0",
      "tier": "internally_reviewed",
      "input_schema": "https://www.calculatorx.com/schemas/electrical.pcb.via_current.input.json",
      "output_schema": "https://www.calculatorx.com/schemas/electrical.pcb.via_current.output.json",
      "evidence": "https://www.calculatorx.com/evidence/electrical.pcb.via_current/1.0.0.json",
      "trust": {
        "engine_tested": true,
        "expert_reviewed": false,
        "internally_reviewed": true,
        "review_kind": "internal",
        "source_checked": true,
        "reviewed_by": "CalculatorX electrical review",
        "reviewer_role": "electrical-engineer",
        "last_reviewed": "2026-08-08",
        "version_lock_supported": true,
        "expert_review_status": "not_applicable",
        "internal_review_status": "approved"
      }
    },
    {
      "name": "rf-link-budget",
      "engine": "rf-link-budget",
      "description": "Pt_dBm, d_m, f_Hz; optional Gt/Gr/L_dB/S_dBm; optional u_Pt_dBm, u_d_m, u_f_Hz, u_Gt_dBi, u_Gr_dBi, u_L_dB + uncertainty_k|confidence",
      "page": "https://www.calculatorx.com/calc/electric/rf-link-budget",
      "endpoint": "https://www.calculatorx.com/api/v1/calc/rf-link-budget",
      "capability_id": "electrical.rf.link_budget",
      "calculation_version": "1.1.1",
      "tier": "internally_reviewed",
      "input_schema": "https://www.calculatorx.com/schemas/electrical.rf.link_budget.input.json",
      "output_schema": "https://www.calculatorx.com/schemas/electrical.rf.link_budget.output.json",
      "evidence": "https://www.calculatorx.com/evidence/electrical.rf.link_budget/1.1.1.json",
      "trust": {
        "engine_tested": true,
        "expert_reviewed": false,
        "internally_reviewed": true,
        "review_kind": "internal",
        "source_checked": true,
        "reviewed_by": "CalculatorX electrical review",
        "reviewer_role": "electrical-engineer",
        "last_reviewed": "2026-08-10",
        "version_lock_supported": true,
        "expert_review_status": "not_applicable",
        "internal_review_status": "approved"
      }
    },
    {
      "name": "battery-pack-sizing",
      "engine": "battery-pack-sizing",
      "description": "Inverse BatteryRuntimeBaseInput: mode watts(P load-side)|amps(I battery-side), t_h, V; optional dod/eta(watts)/V_cell+capacity_cell_Ah",
      "page": "https://www.calculatorx.com/calc/electric/battery-pack-sizing",
      "endpoint": "https://www.calculatorx.com/api/v1/calc/battery-pack-sizing",
      "capability_id": "electrical.battery.pack_sizing",
      "calculation_version": "1.2.0",
      "tier": "internally_reviewed",
      "input_schema": "https://www.calculatorx.com/schemas/electrical.battery.pack_sizing.input.json",
      "output_schema": "https://www.calculatorx.com/schemas/electrical.battery.pack_sizing.output.json",
      "evidence": "https://www.calculatorx.com/evidence/electrical.battery.pack_sizing/1.2.0.json",
      "trust": {
        "engine_tested": true,
        "expert_reviewed": false,
        "internally_reviewed": true,
        "review_kind": "internal",
        "source_checked": true,
        "reviewed_by": "CalculatorX electrical review",
        "reviewer_role": "electrical-engineer",
        "last_reviewed": "2026-09-05",
        "version_lock_supported": true,
        "expert_review_status": "not_applicable",
        "internal_review_status": "approved"
      }
    },
    {
      "name": "wheatstone-bridge",
      "engine": "wheatstone-bridge",
      "description": "Vin, R1, R2, R3, R4 > 0",
      "page": "https://www.calculatorx.com/calc/electric/wheatstone-bridge",
      "endpoint": "https://www.calculatorx.com/api/v1/calc/wheatstone-bridge",
      "capability_id": "electrical.wheatstone",
      "calculation_version": "1.0.0",
      "tier": "internally_reviewed",
      "input_schema": "https://www.calculatorx.com/schemas/electrical.wheatstone.input.json",
      "output_schema": "https://www.calculatorx.com/schemas/electrical.wheatstone.output.json",
      "evidence": "https://www.calculatorx.com/evidence/electrical.wheatstone/1.0.0.json",
      "trust": {
        "engine_tested": true,
        "expert_reviewed": false,
        "internally_reviewed": true,
        "review_kind": "internal",
        "source_checked": true,
        "reviewed_by": "CalculatorX electrical review",
        "reviewer_role": "electrical-engineer",
        "last_reviewed": "2026-08-08",
        "version_lock_supported": true,
        "expert_review_status": "not_applicable",
        "internal_review_status": "approved"
      }
    },
    {
      "name": "kirchhoff",
      "engine": "kirchhoff",
      "description": "mode series|parallel; Vs or Is; R1…",
      "page": "https://www.calculatorx.com/calc/electric/kirchhoff",
      "endpoint": "https://www.calculatorx.com/api/v1/calc/kirchhoff",
      "capability_id": "electrical.kirchhoff",
      "calculation_version": "1.0.0",
      "tier": "internally_reviewed",
      "input_schema": "https://www.calculatorx.com/schemas/electrical.kirchhoff.input.json",
      "output_schema": "https://www.calculatorx.com/schemas/electrical.kirchhoff.output.json",
      "evidence": "https://www.calculatorx.com/evidence/electrical.kirchhoff/1.0.0.json",
      "trust": {
        "engine_tested": true,
        "expert_reviewed": false,
        "internally_reviewed": true,
        "review_kind": "internal",
        "source_checked": true,
        "reviewed_by": "CalculatorX electrical review",
        "reviewer_role": "electrical-engineer",
        "last_reviewed": "2026-08-08",
        "version_lock_supported": true,
        "expert_review_status": "not_applicable",
        "internal_review_status": "approved"
      }
    },
    {
      "name": "led-resistor",
      "engine": "led-resistor",
      "description": "Vs, Vf, If > 0; optional n≥1",
      "page": "https://www.calculatorx.com/calc/electric/led-resistor",
      "endpoint": "https://www.calculatorx.com/api/v1/calc/led-resistor",
      "capability_id": "electrical.led_resistor",
      "calculation_version": "1.0.0",
      "tier": "internally_reviewed",
      "input_schema": "https://www.calculatorx.com/schemas/electrical.led_resistor.input.json",
      "output_schema": "https://www.calculatorx.com/schemas/electrical.led_resistor.output.json",
      "evidence": "https://www.calculatorx.com/evidence/electrical.led_resistor/1.0.0.json",
      "trust": {
        "engine_tested": true,
        "expert_reviewed": false,
        "internally_reviewed": true,
        "review_kind": "internal",
        "source_checked": true,
        "reviewed_by": "CalculatorX electrical review",
        "reviewer_role": "electrical-engineer",
        "last_reviewed": "2026-08-08",
        "version_lock_supported": true,
        "expert_review_status": "not_applicable",
        "internal_review_status": "approved"
      }
    },
    {
      "name": "mosfet-tj",
      "engine": "mosfet-tj",
      "description": "Ta_C, P_W≥0; effective Rth_JA or case/heatsink Rth_JC+Rth_CA (not both, not equivalent); optional Tj_max_C",
      "page": "https://www.calculatorx.com/calc/electric/mosfet-tj",
      "endpoint": "https://www.calculatorx.com/api/v1/calc/mosfet-tj",
      "capability_id": "electrical.mosfet.tj",
      "calculation_version": "1.1.2",
      "tier": "internally_reviewed",
      "input_schema": "https://www.calculatorx.com/schemas/electrical.mosfet.tj.input.json",
      "output_schema": "https://www.calculatorx.com/schemas/electrical.mosfet.tj.output.json",
      "evidence": "https://www.calculatorx.com/evidence/electrical.mosfet.tj/1.1.2.json",
      "trust": {
        "engine_tested": true,
        "expert_reviewed": false,
        "internally_reviewed": true,
        "review_kind": "internal",
        "source_checked": true,
        "reviewed_by": "CalculatorX electrical review (EE-001)",
        "reviewer_role": "electrical-engineer",
        "last_reviewed": "2026-08-16",
        "version_lock_supported": true,
        "expert_review_status": "not_applicable",
        "internal_review_status": "approved"
      }
    },
    {
      "name": "cascaded-nf",
      "engine": "cascaded-nf",
      "description": "NF1,G1,… or NF_dB[]+G_dB[]",
      "page": "https://www.calculatorx.com/calc/electric/cascaded-nf",
      "endpoint": "https://www.calculatorx.com/api/v1/calc/cascaded-nf",
      "capability_id": "electrical.rf.cascaded_nf",
      "calculation_version": "1.1.1",
      "tier": "internally_reviewed",
      "input_schema": "https://www.calculatorx.com/schemas/electrical.rf.cascaded_nf.input.json",
      "output_schema": "https://www.calculatorx.com/schemas/electrical.rf.cascaded_nf.output.json",
      "evidence": "https://www.calculatorx.com/evidence/electrical.rf.cascaded_nf/1.1.1.json",
      "trust": {
        "engine_tested": true,
        "expert_reviewed": false,
        "internally_reviewed": true,
        "review_kind": "internal",
        "source_checked": true,
        "reviewed_by": "CalculatorX electrical review",
        "reviewer_role": "electrical-engineer",
        "last_reviewed": "2026-09-12",
        "version_lock_supported": true,
        "expert_review_status": "not_applicable",
        "internal_review_status": "approved"
      }
    },
    {
      "name": "capacitance",
      "engine": "capacitance",
      "description": "mode plate|parallel|series; A,d,er or C1…",
      "page": "https://www.calculatorx.com/calc/electric/capacitance",
      "endpoint": "https://www.calculatorx.com/api/v1/calc/capacitance",
      "capability_id": "electrical.capacitance",
      "calculation_version": "1.1.0",
      "tier": "internally_reviewed",
      "input_schema": "https://www.calculatorx.com/schemas/electrical.capacitance.input.json",
      "output_schema": "https://www.calculatorx.com/schemas/electrical.capacitance.output.json",
      "evidence": "https://www.calculatorx.com/evidence/electrical.capacitance/1.1.0.json",
      "trust": {
        "engine_tested": true,
        "expert_reviewed": false,
        "internally_reviewed": true,
        "review_kind": "internal",
        "source_checked": true,
        "reviewed_by": "CalculatorX electrical review",
        "reviewer_role": "electrical-engineer",
        "last_reviewed": "2026-09-11",
        "version_lock_supported": true,
        "expert_review_status": "not_applicable",
        "internal_review_status": "approved"
      }
    },
    {
      "name": "transformer-sizing",
      "engine": "transformer-sizing",
      "description": "mode ratio|current|va",
      "page": "https://www.calculatorx.com/calc/electric/transformer-sizing",
      "endpoint": "https://www.calculatorx.com/api/v1/calc/transformer-sizing",
      "capability_id": "electrical.transformer_sizing",
      "calculation_version": "1.0.0",
      "tier": "internally_reviewed",
      "input_schema": "https://www.calculatorx.com/schemas/electrical.transformer_sizing.input.json",
      "output_schema": "https://www.calculatorx.com/schemas/electrical.transformer_sizing.output.json",
      "evidence": "https://www.calculatorx.com/evidence/electrical.transformer_sizing/1.0.0.json",
      "trust": {
        "engine_tested": true,
        "expert_reviewed": false,
        "internally_reviewed": true,
        "review_kind": "internal",
        "source_checked": true,
        "reviewed_by": "CalculatorX electrical review",
        "reviewer_role": "electrical-engineer",
        "last_reviewed": "2026-08-08",
        "version_lock_supported": true,
        "expert_review_status": "not_applicable",
        "internal_review_status": "approved"
      }
    },
    {
      "name": "diode-equation",
      "engine": "diode-equation",
      "description": "mode id|vd; Vd|Id; Is; n; T",
      "page": "https://www.calculatorx.com/calc/electric/diode-equation",
      "endpoint": "https://www.calculatorx.com/api/v1/calc/diode-equation",
      "capability_id": "electrical.diode.equation",
      "calculation_version": "1.1.0",
      "tier": "internally_reviewed",
      "input_schema": "https://www.calculatorx.com/schemas/electrical.diode.equation.input.json",
      "output_schema": "https://www.calculatorx.com/schemas/electrical.diode.equation.output.json",
      "evidence": "https://www.calculatorx.com/evidence/electrical.diode.equation/1.1.0.json",
      "trust": {
        "engine_tested": true,
        "expert_reviewed": false,
        "internally_reviewed": true,
        "review_kind": "internal",
        "source_checked": true,
        "reviewed_by": "CalculatorX electrical review",
        "reviewer_role": "electrical-engineer",
        "last_reviewed": "2026-09-13",
        "version_lock_supported": true,
        "expert_review_status": "not_applicable",
        "internal_review_status": "approved"
      }
    },
    {
      "name": "adc-snr",
      "engine": "adc-snr",
      "description": "mode snr|enob (oneOf); snr: n_bits; enob: SINAD_dB",
      "page": "https://www.calculatorx.com/calc/electric/adc-snr",
      "endpoint": "https://www.calculatorx.com/api/v1/calc/adc-snr",
      "capability_id": "electrical.adc.snr",
      "calculation_version": "1.1.0",
      "tier": "internally_reviewed",
      "input_schema": "https://www.calculatorx.com/schemas/electrical.adc.snr.input.json",
      "output_schema": "https://www.calculatorx.com/schemas/electrical.adc.snr.output.json",
      "evidence": "https://www.calculatorx.com/evidence/electrical.adc.snr/1.1.0.json",
      "trust": {
        "engine_tested": true,
        "expert_reviewed": false,
        "internally_reviewed": true,
        "review_kind": "internal",
        "source_checked": true,
        "reviewed_by": "CalculatorX electrical review",
        "reviewer_role": "electrical-engineer",
        "last_reviewed": "2026-09-04",
        "version_lock_supported": true,
        "expert_review_status": "not_applicable",
        "internal_review_status": "approved"
      }
    },
    {
      "name": "pcb-stripline",
      "engine": "pcb-stripline",
      "description": "W_m, b_m, er",
      "page": "https://www.calculatorx.com/calc/electric/pcb-stripline",
      "endpoint": "https://www.calculatorx.com/api/v1/calc/pcb-stripline",
      "capability_id": "electrical.pcb.stripline",
      "calculation_version": "1.0.0",
      "tier": "internally_reviewed",
      "input_schema": "https://www.calculatorx.com/schemas/electrical.pcb.stripline.input.json",
      "output_schema": "https://www.calculatorx.com/schemas/electrical.pcb.stripline.output.json",
      "evidence": "https://www.calculatorx.com/evidence/electrical.pcb.stripline/1.0.0.json",
      "trust": {
        "engine_tested": true,
        "expert_reviewed": false,
        "internally_reviewed": true,
        "review_kind": "internal",
        "source_checked": true,
        "reviewed_by": "CalculatorX electrical review",
        "reviewer_role": "electrical-engineer",
        "last_reviewed": "2026-08-08",
        "version_lock_supported": true,
        "expert_review_status": "not_applicable",
        "internal_review_status": "approved"
      }
    },
    {
      "name": "series-capacitor",
      "engine": "series-capacitor",
      "description": "C1… or C[] (≥2)",
      "page": "https://www.calculatorx.com/calc/electric/series-capacitor",
      "endpoint": "https://www.calculatorx.com/api/v1/calc/series-capacitor",
      "capability_id": "electrical.series_capacitor",
      "calculation_version": "1.0.0",
      "tier": "internally_reviewed",
      "input_schema": "https://www.calculatorx.com/schemas/electrical.series_capacitor.input.json",
      "output_schema": "https://www.calculatorx.com/schemas/electrical.series_capacitor.output.json",
      "evidence": "https://www.calculatorx.com/evidence/electrical.series_capacitor/1.0.0.json",
      "trust": {
        "engine_tested": true,
        "expert_reviewed": false,
        "internally_reviewed": true,
        "review_kind": "internal",
        "source_checked": true,
        "reviewed_by": "CalculatorX electrical review",
        "reviewer_role": "electrical-engineer",
        "last_reviewed": "2026-08-08",
        "version_lock_supported": true,
        "expert_review_status": "not_applicable",
        "internal_review_status": "approved"
      }
    },
    {
      "name": "timer-555",
      "engine": "timer-555",
      "description": "mode astable|monostable (oneOf); astable: R1,R2,C; monostable: R,C",
      "page": "https://www.calculatorx.com/calc/electric/timer-555",
      "endpoint": "https://www.calculatorx.com/api/v1/calc/timer-555",
      "capability_id": "electrical.timer_555",
      "calculation_version": "1.2.0",
      "tier": "internally_reviewed",
      "input_schema": "https://www.calculatorx.com/schemas/electrical.timer_555.input.json",
      "output_schema": "https://www.calculatorx.com/schemas/electrical.timer_555.output.json",
      "evidence": "https://www.calculatorx.com/evidence/electrical.timer_555/1.2.0.json",
      "trust": {
        "engine_tested": true,
        "expert_reviewed": false,
        "internally_reviewed": true,
        "review_kind": "internal",
        "source_checked": true,
        "reviewed_by": "CalculatorX electrical review",
        "reviewer_role": "electrical-engineer",
        "last_reviewed": "2026-08-13",
        "version_lock_supported": true,
        "expert_review_status": "not_applicable",
        "internal_review_status": "approved"
      }
    },
    {
      "name": "skin-depth",
      "engine": "skin-depth",
      "description": "f_Hz, rho_ohm_m, mur",
      "page": "https://www.calculatorx.com/calc/electric/skin-depth",
      "endpoint": "https://www.calculatorx.com/api/v1/calc/skin-depth",
      "capability_id": "electrical.rf.skin_depth",
      "calculation_version": "1.0.0",
      "tier": "internally_reviewed",
      "input_schema": "https://www.calculatorx.com/schemas/electrical.rf.skin_depth.input.json",
      "output_schema": "https://www.calculatorx.com/schemas/electrical.rf.skin_depth.output.json",
      "evidence": "https://www.calculatorx.com/evidence/electrical.rf.skin_depth/1.0.0.json",
      "trust": {
        "engine_tested": true,
        "expert_reviewed": false,
        "internally_reviewed": true,
        "review_kind": "internal",
        "source_checked": true,
        "reviewed_by": "CalculatorX electrical review",
        "reviewer_role": "electrical-engineer",
        "last_reviewed": "2026-08-08",
        "version_lock_supported": true,
        "expert_review_status": "not_applicable",
        "internal_review_status": "approved"
      }
    },
    {
      "name": "worst-case-analysis",
      "engine": "worst-case-analysis",
      "description": "tol[] or tol1…",
      "page": "https://www.calculatorx.com/calc/engineering/worst-case-analysis",
      "endpoint": "https://www.calculatorx.com/api/v1/calc/worst-case-analysis",
      "capability_id": "engineering.tolerance.worst_case",
      "calculation_version": "1.3.0",
      "tier": "internally_reviewed",
      "input_schema": "https://www.calculatorx.com/schemas/engineering.tolerance.worst_case.agent.input.json",
      "output_schema": "https://www.calculatorx.com/schemas/engineering.tolerance.worst_case.output.json",
      "evidence": "https://www.calculatorx.com/evidence/engineering.tolerance.worst_case/1.3.0.json",
      "trust": {
        "engine_tested": true,
        "expert_reviewed": false,
        "internally_reviewed": true,
        "review_kind": "internal",
        "source_checked": true,
        "reviewed_by": "CalculatorX tolerance / mechanical engineering review",
        "reviewer_role": "tolerance-engineer",
        "last_reviewed": "2026-09-12",
        "version_lock_supported": true,
        "expert_review_status": "not_applicable",
        "internal_review_status": "approved",
        "review_layers": [
          {
            "id": "model",
            "label": "Model / formula",
            "reviewed_at": "2026-08-12",
            "status": "current",
            "note": "Formula and engineering assumptions unchanged in v1.3.0.",
            "scope": [
              "formula",
              "assumptions",
              "limitations",
              "sources"
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          },
          {
            "id": "interface",
            "label": "Interface / input semantics",
            "reviewed_at": "2026-09-12",
            "status": "current",
            "note": "Canonical non-negative magnitudes, REST signed compatibility, overflow, and unit label policy.",
            "scope": [
              "input semantics",
              "error codes",
              "REST compatibility",
              "unit policy",
              "tests"
            ]
          }
        ]
      }
    },
    {
      "name": "monte-carlo-tolerance",
      "engine": "monte-carlo-tolerance",
      "description": "tolerances[{nominal?, half_tolerance|tol_plus/tol_minus, coefficient?, distribution?, mean_shift?}]; correlations?; sensitivity_method?; LSL?; USL?; N; seed; k_sigma",
      "page": "https://www.calculatorx.com/calc/engineering/monte-carlo-tolerance",
      "endpoint": "https://www.calculatorx.com/api/v1/calc/monte-carlo-tolerance",
      "capability_id": "engineering.tolerance.monte_carlo",
      "calculation_version": "1.12.0",
      "tier": "internally_reviewed",
      "input_schema": "https://www.calculatorx.com/schemas/engineering.tolerance.monte_carlo.agent.input.json",
      "output_schema": "https://www.calculatorx.com/schemas/engineering.tolerance.monte_carlo.output.json",
      "evidence": "https://www.calculatorx.com/evidence/engineering.tolerance.monte_carlo/1.12.0.json",
      "trust": {
        "engine_tested": true,
        "expert_reviewed": false,
        "internally_reviewed": true,
        "review_kind": "internal",
        "source_checked": true,
        "reviewed_by": "CalculatorX tolerance / mechanical engineering review",
        "reviewer_role": "tolerance-engineer",
        "last_reviewed": "2026-08-12",
        "version_lock_supported": true,
        "expert_review_status": "not_applicable",
        "internal_review_status": "approved"
      }
    },
    {
      "name": "opamp-noise",
      "engine": "opamp-noise",
      "description": "Rf, Rg, en, BW; optional in, Rsource",
      "page": "https://www.calculatorx.com/calc/electric/opamp-noise",
      "endpoint": "https://www.calculatorx.com/api/v1/calc/opamp-noise",
      "capability_id": "electrical.opamp.noise",
      "calculation_version": "1.0.0",
      "tier": "internally_reviewed",
      "input_schema": "https://www.calculatorx.com/schemas/electrical.opamp.noise.input.json",
      "output_schema": "https://www.calculatorx.com/schemas/electrical.opamp.noise.output.json",
      "evidence": "https://www.calculatorx.com/evidence/electrical.opamp.noise/1.0.0.json",
      "trust": {
        "engine_tested": true,
        "expert_reviewed": false,
        "internally_reviewed": true,
        "review_kind": "internal",
        "source_checked": true,
        "reviewed_by": "CalculatorX electrical review",
        "reviewer_role": "electrical-engineer",
        "last_reviewed": "2026-08-08",
        "version_lock_supported": true,
        "expert_review_status": "not_applicable",
        "internal_review_status": "approved"
      }
    },
    {
      "name": "dbm-watt",
      "engine": "dbm-watt",
      "description": "mode dbm-w|w-dbm|dbm-mw|mw-dbm; value",
      "page": "https://www.calculatorx.com/calc/electric/dbm-watt",
      "endpoint": "https://www.calculatorx.com/api/v1/calc/dbm-watt",
      "capability_id": "units.rf.dbm_watts",
      "calculation_version": "1.3.1",
      "tier": "internally_reviewed",
      "input_schema": "https://www.calculatorx.com/schemas/units.rf.dbm_watts.input.json",
      "output_schema": "https://www.calculatorx.com/schemas/units.rf.dbm_watts.output.json",
      "evidence": "https://www.calculatorx.com/evidence/units.rf.dbm_watts/1.3.1.json",
      "trust": {
        "engine_tested": true,
        "expert_reviewed": false,
        "internally_reviewed": true,
        "review_kind": "internal",
        "source_checked": true,
        "reviewed_by": "CalculatorX electrical review",
        "reviewer_role": "electrical-engineer",
        "last_reviewed": "2026-09-13",
        "version_lock_supported": true,
        "expert_review_status": "not_applicable",
        "internal_review_status": "approved"
      }
    },
    {
      "name": "heatsink-rth",
      "engine": "heatsink-rth",
      "description": "mode junction_effective_ja|junction_heatsink_stack|required_heatsink_sa; Ta_C; P_W; θJA or θJC+θCS+θSA or Tj_max+θJC+θCS",
      "page": "https://www.calculatorx.com/calc/electric/heatsink-rth",
      "endpoint": "https://www.calculatorx.com/api/v1/calc/heatsink-rth",
      "capability_id": "electrical.thermal.heatsink_rth",
      "calculation_version": "1.1.0",
      "tier": "internally_reviewed",
      "input_schema": "https://www.calculatorx.com/schemas/electrical.thermal.heatsink_rth.input.json",
      "output_schema": "https://www.calculatorx.com/schemas/electrical.thermal.heatsink_rth.output.json",
      "evidence": "https://www.calculatorx.com/evidence/electrical.thermal.heatsink_rth/1.1.0.json",
      "trust": {
        "engine_tested": true,
        "expert_reviewed": false,
        "internally_reviewed": true,
        "review_kind": "internal",
        "source_checked": true,
        "reviewed_by": "CalculatorX electrical review (EE-001)",
        "reviewer_role": "electrical-engineer",
        "last_reviewed": "2026-09-14",
        "version_lock_supported": true,
        "expert_review_status": "not_applicable",
        "internal_review_status": "approved"
      }
    },
    {
      "name": "pcb-trace-thermal",
      "engine": "pcb-trace-thermal",
      "description": "mode power|rise; I_A; L_m; W_m; t_m; Rth?",
      "page": "https://www.calculatorx.com/calc/electric/pcb-trace-thermal",
      "endpoint": "https://www.calculatorx.com/api/v1/calc/pcb-trace-thermal",
      "capability_id": "electrical.pcb.trace_thermal",
      "calculation_version": "1.0.0",
      "tier": "internally_reviewed",
      "input_schema": "https://www.calculatorx.com/schemas/electrical.pcb.trace_thermal.input.json",
      "output_schema": "https://www.calculatorx.com/schemas/electrical.pcb.trace_thermal.output.json",
      "evidence": "https://www.calculatorx.com/evidence/electrical.pcb.trace_thermal/1.0.0.json",
      "trust": {
        "engine_tested": true,
        "expert_reviewed": false,
        "internally_reviewed": true,
        "review_kind": "internal",
        "source_checked": true,
        "reviewed_by": "CalculatorX electrical review",
        "reviewer_role": "electrical-engineer",
        "last_reviewed": "2026-08-08",
        "version_lock_supported": true,
        "expert_review_status": "not_applicable",
        "internal_review_status": "approved"
      }
    },
    {
      "name": "rectifier-ripple-cap",
      "engine": "rectifier-ripple-cap",
      "description": "mode ripple|capacitance; wave; I_A; f_Hz; C or Vripple",
      "page": "https://www.calculatorx.com/calc/electric/rectifier-ripple-cap",
      "endpoint": "https://www.calculatorx.com/api/v1/calc/rectifier-ripple-cap",
      "capability_id": "electrical.rectifier.ripple_cap",
      "calculation_version": "1.0.0",
      "tier": "internally_reviewed",
      "input_schema": "https://www.calculatorx.com/schemas/electrical.rectifier.ripple_cap.input.json",
      "output_schema": "https://www.calculatorx.com/schemas/electrical.rectifier.ripple_cap.output.json",
      "evidence": "https://www.calculatorx.com/evidence/electrical.rectifier.ripple_cap/1.0.0.json",
      "trust": {
        "engine_tested": true,
        "expert_reviewed": false,
        "internally_reviewed": true,
        "review_kind": "internal",
        "source_checked": true,
        "reviewed_by": "CalculatorX electrical review",
        "reviewer_role": "electrical-engineer",
        "last_reviewed": "2026-08-08",
        "version_lock_supported": true,
        "expert_review_status": "not_applicable",
        "internal_review_status": "approved"
      }
    },
    {
      "name": "coulomb",
      "engine": "coulomb",
      "description": "q1_C, q2_C, r_m",
      "page": "https://www.calculatorx.com/calc/physics/coulomb",
      "endpoint": "https://www.calculatorx.com/api/v1/calc/coulomb",
      "capability_id": "physics.em.coulomb",
      "calculation_version": "1.0.0",
      "tier": "internally_reviewed",
      "input_schema": "https://www.calculatorx.com/schemas/physics.em.coulomb.input.json",
      "output_schema": "https://www.calculatorx.com/schemas/physics.em.coulomb.output.json",
      "evidence": "https://www.calculatorx.com/evidence/physics.em.coulomb/1.0.0.json",
      "trust": {
        "engine_tested": true,
        "expert_reviewed": false,
        "internally_reviewed": true,
        "review_kind": "internal",
        "source_checked": true,
        "reviewed_by": "CalculatorX electrical review",
        "reviewer_role": "electrical-engineer",
        "last_reviewed": "2026-08-08",
        "version_lock_supported": true,
        "expert_review_status": "not_applicable",
        "internal_review_status": "approved"
      }
    },
    {
      "name": "logic-gate",
      "engine": "logic-gate",
      "description": "mode and|or|not|…; A; B?",
      "page": "https://www.calculatorx.com/calc/electric/logic-gate",
      "endpoint": "https://www.calculatorx.com/api/v1/calc/logic-gate",
      "capability_id": "electrical.digital.logic_gate",
      "calculation_version": "1.0.0",
      "tier": "internally_reviewed",
      "input_schema": "https://www.calculatorx.com/schemas/electrical.digital.logic_gate.input.json",
      "output_schema": "https://www.calculatorx.com/schemas/electrical.digital.logic_gate.output.json",
      "evidence": "https://www.calculatorx.com/evidence/electrical.digital.logic_gate/1.0.0.json",
      "trust": {
        "engine_tested": true,
        "expert_reviewed": false,
        "internally_reviewed": true,
        "review_kind": "internal",
        "source_checked": true,
        "reviewed_by": "CalculatorX electrical review",
        "reviewer_role": "electrical-engineer",
        "last_reviewed": "2026-08-08",
        "version_lock_supported": true,
        "expert_review_status": "not_applicable",
        "internal_review_status": "approved"
      }
    },
    {
      "name": "battery-aging",
      "engine": "battery-aging",
      "description": "C0_Ah; N_cycles; years; k_cycle?; k_cal?",
      "page": "https://www.calculatorx.com/calc/electric/battery-aging",
      "endpoint": "https://www.calculatorx.com/api/v1/calc/battery-aging",
      "capability_id": "electrical.battery.aging",
      "calculation_version": "1.0.2",
      "tier": "internally_reviewed",
      "input_schema": "https://www.calculatorx.com/schemas/electrical.battery.aging.input.json",
      "output_schema": "https://www.calculatorx.com/schemas/electrical.battery.aging.output.json",
      "evidence": "https://www.calculatorx.com/evidence/electrical.battery.aging/1.0.2.json",
      "trust": {
        "engine_tested": true,
        "expert_reviewed": false,
        "internally_reviewed": true,
        "review_kind": "internal",
        "source_checked": true,
        "reviewed_by": "CalculatorX electrical review",
        "reviewer_role": "electrical-engineer",
        "last_reviewed": "2026-09-05",
        "version_lock_supported": true,
        "expert_review_status": "not_applicable",
        "internal_review_status": "approved"
      }
    },
    {
      "name": "buck-ripple",
      "engine": "buck-ripple",
      "description": "Vin_V, Vout_V, f_Hz, L_H, C_F?",
      "page": "https://www.calculatorx.com/calc/electric/buck-ripple",
      "endpoint": "https://www.calculatorx.com/api/v1/calc/buck-ripple",
      "capability_id": "electrical.buck.ripple",
      "calculation_version": "1.1.0",
      "tier": "internally_reviewed",
      "input_schema": "https://www.calculatorx.com/schemas/electrical.buck.ripple.input.json",
      "output_schema": "https://www.calculatorx.com/schemas/electrical.buck.ripple.output.json",
      "evidence": "https://www.calculatorx.com/evidence/electrical.buck.ripple/1.1.0.json",
      "trust": {
        "engine_tested": true,
        "expert_reviewed": false,
        "internally_reviewed": true,
        "review_kind": "internal",
        "source_checked": true,
        "reviewed_by": "CalculatorX electrical review",
        "reviewer_role": "electrical-engineer",
        "last_reviewed": "2026-09-11",
        "version_lock_supported": true,
        "expert_review_status": "not_applicable",
        "internal_review_status": "approved"
      }
    },
    {
      "name": "celsius-kelvin",
      "engine": "celsius-kelvin",
      "description": "mode c-k|k-c; value",
      "page": "https://www.calculatorx.com/calc/physics/celsius-kelvin",
      "endpoint": "https://www.calculatorx.com/api/v1/calc/celsius-kelvin",
      "capability_id": "units.temperature.celsius_kelvin",
      "calculation_version": "1.0.2",
      "tier": "internally_reviewed",
      "input_schema": "https://www.calculatorx.com/schemas/units.temperature.celsius_kelvin.input.json",
      "output_schema": "https://www.calculatorx.com/schemas/units.temperature.celsius_kelvin.output.json",
      "evidence": "https://www.calculatorx.com/evidence/units.temperature.celsius_kelvin/1.0.2.json",
      "trust": {
        "engine_tested": true,
        "expert_reviewed": false,
        "internally_reviewed": true,
        "review_kind": "internal",
        "source_checked": true,
        "reviewed_by": "CalculatorX electrical review",
        "reviewer_role": null,
        "last_reviewed": "2026-08-09",
        "version_lock_supported": true,
        "expert_review_status": "not_applicable",
        "internal_review_status": "approved"
      }
    },
    {
      "name": "psi-bar",
      "engine": "psi-bar",
      "description": "mode psi-bar|bar-psi; value",
      "page": "https://www.calculatorx.com/calc/physics/psi-bar",
      "endpoint": "https://www.calculatorx.com/api/v1/calc/psi-bar",
      "capability_id": "units.pressure.psi_bar",
      "calculation_version": "1.0.2",
      "tier": "internally_reviewed",
      "input_schema": "https://www.calculatorx.com/schemas/units.pressure.psi_bar.input.json",
      "output_schema": "https://www.calculatorx.com/schemas/units.pressure.psi_bar.output.json",
      "evidence": "https://www.calculatorx.com/evidence/units.pressure.psi_bar/1.0.2.json",
      "trust": {
        "engine_tested": true,
        "expert_reviewed": false,
        "internally_reviewed": true,
        "review_kind": "internal",
        "source_checked": true,
        "reviewed_by": "CalculatorX electrical review",
        "reviewer_role": null,
        "last_reviewed": "2026-08-09",
        "version_lock_supported": true,
        "expert_review_status": "not_applicable",
        "internal_review_status": "approved"
      }
    },
    {
      "name": "mosfet-vth",
      "engine": "mosfet-vth",
      "description": "mode overdrive|id|vth; Vgs; Vth or Id; kn (½ not included); optional Vds; optional linear Vth(Tj)",
      "page": "https://www.calculatorx.com/calc/electric/mosfet-vth",
      "endpoint": "https://www.calculatorx.com/api/v1/calc/mosfet-vth",
      "capability_id": "electrical.mosfet.vth",
      "calculation_version": "1.3.1",
      "tier": "internally_reviewed",
      "input_schema": "https://www.calculatorx.com/schemas/electrical.mosfet.vth.input.json",
      "output_schema": "https://www.calculatorx.com/schemas/electrical.mosfet.vth.output.json",
      "evidence": "https://www.calculatorx.com/evidence/electrical.mosfet.vth/1.3.1.json",
      "trust": {
        "engine_tested": true,
        "expert_reviewed": false,
        "internally_reviewed": true,
        "review_kind": "internal",
        "source_checked": true,
        "reviewed_by": "CalculatorX electrical review",
        "reviewer_role": "electrical-engineer",
        "last_reviewed": "2026-08-17",
        "version_lock_supported": true,
        "expert_review_status": "not_applicable",
        "internal_review_status": "approved"
      }
    },
    {
      "name": "ideal-gas",
      "engine": "ideal-gas",
      "description": "mode P|V|n|T; state variables",
      "page": "https://www.calculatorx.com/calc/physics/ideal-gas",
      "endpoint": "https://www.calculatorx.com/api/v1/calc/ideal-gas",
      "capability_id": "physics.thermo.ideal_gas",
      "calculation_version": "1.0.0",
      "tier": "internally_reviewed",
      "input_schema": "https://www.calculatorx.com/schemas/physics.thermo.ideal_gas.input.json",
      "output_schema": "https://www.calculatorx.com/schemas/physics.thermo.ideal_gas.output.json",
      "evidence": "https://www.calculatorx.com/evidence/physics.thermo.ideal_gas/1.0.0.json",
      "trust": {
        "engine_tested": true,
        "expert_reviewed": false,
        "internally_reviewed": true,
        "review_kind": "internal",
        "source_checked": true,
        "reviewed_by": "CalculatorX electrical review",
        "reviewer_role": null,
        "last_reviewed": "2026-08-09",
        "version_lock_supported": true,
        "expert_review_status": "not_applicable",
        "internal_review_status": "approved"
      }
    },
    {
      "name": "heat-transfer",
      "engine": "heat-transfer",
      "description": "mode conduction|convection; A; dT; k,L or h",
      "page": "https://www.calculatorx.com/calc/physics/heat-transfer",
      "endpoint": "https://www.calculatorx.com/api/v1/calc/heat-transfer",
      "capability_id": "physics.thermo.heat_transfer",
      "calculation_version": "1.0.0",
      "tier": "internally_reviewed",
      "input_schema": "https://www.calculatorx.com/schemas/physics.thermo.heat_transfer.input.json",
      "output_schema": "https://www.calculatorx.com/schemas/physics.thermo.heat_transfer.output.json",
      "evidence": "https://www.calculatorx.com/evidence/physics.thermo.heat_transfer/1.0.0.json",
      "trust": {
        "engine_tested": true,
        "expert_reviewed": false,
        "internally_reviewed": true,
        "review_kind": "internal",
        "source_checked": true,
        "reviewed_by": "CalculatorX electrical review",
        "reviewer_role": null,
        "last_reviewed": "2026-08-09",
        "version_lock_supported": true,
        "expert_review_status": "not_applicable",
        "internal_review_status": "approved"
      }
    },
    {
      "name": "process-capability",
      "engine": "process-capability",
      "description": "lsl, usl, mu, sigma",
      "page": "https://www.calculatorx.com/calc/engineering/process-capability",
      "endpoint": "https://www.calculatorx.com/api/v1/calc/process-capability",
      "capability_id": "engineering.process.capability",
      "calculation_version": "1.0.0",
      "tier": "engine_tested",
      "input_schema": "https://www.calculatorx.com/schemas/engineering.process.capability.input.json",
      "output_schema": "https://www.calculatorx.com/schemas/engineering.process.capability.output.json",
      "evidence": "https://www.calculatorx.com/evidence/engineering.process.capability/1.0.0.json",
      "trust": {
        "engine_tested": true,
        "expert_reviewed": false,
        "internally_reviewed": false,
        "review_kind": null,
        "source_checked": true,
        "reviewed_by": null,
        "reviewer_role": null,
        "last_reviewed": null,
        "version_lock_supported": true,
        "expert_review_status": "optional_not_performed",
        "internal_review_status": "not_applicable"
      }
    },
    {
      "name": "process-performance",
      "engine": "process-performance",
      "description": "values, lsl, usl; ddof?",
      "page": "https://www.calculatorx.com/calc/engineering/process-performance",
      "endpoint": "https://www.calculatorx.com/api/v1/calc/process-performance",
      "capability_id": "engineering.process.performance",
      "calculation_version": "1.0.1",
      "tier": "engine_tested",
      "input_schema": "https://www.calculatorx.com/schemas/engineering.process.performance.input.json",
      "output_schema": "https://www.calculatorx.com/schemas/engineering.process.performance.output.json",
      "evidence": "https://www.calculatorx.com/evidence/engineering.process.performance/1.0.1.json",
      "trust": {
        "engine_tested": true,
        "expert_reviewed": false,
        "internally_reviewed": false,
        "review_kind": null,
        "source_checked": true,
        "reviewed_by": null,
        "reviewer_role": null,
        "last_reviewed": null,
        "version_lock_supported": true,
        "expert_review_status": "optional_not_performed",
        "internal_review_status": "not_applicable"
      }
    },
    {
      "name": "cpm",
      "engine": "cpm",
      "description": "lsl, usl, mu, sigma, target",
      "page": "https://www.calculatorx.com/calc/engineering/process-capability-cpm",
      "endpoint": "https://www.calculatorx.com/api/v1/calc/cpm",
      "capability_id": "engineering.process.cpm",
      "calculation_version": "1.0.1",
      "tier": "engine_tested",
      "input_schema": "https://www.calculatorx.com/schemas/engineering.process.cpm.input.json",
      "output_schema": "https://www.calculatorx.com/schemas/engineering.process.cpm.output.json",
      "evidence": "https://www.calculatorx.com/evidence/engineering.process.cpm/1.0.1.json",
      "trust": {
        "engine_tested": true,
        "expert_reviewed": false,
        "internally_reviewed": false,
        "review_kind": null,
        "source_checked": true,
        "reviewed_by": null,
        "reviewer_role": null,
        "last_reviewed": null,
        "version_lock_supported": true,
        "expert_review_status": "optional_not_performed",
        "internal_review_status": "not_applicable"
      }
    },
    {
      "name": "cpm-performance",
      "engine": "cpm-performance",
      "description": "values, lsl, usl, target; ddof?",
      "page": "https://www.calculatorx.com/calc/engineering/process-performance-ppm",
      "endpoint": "https://www.calculatorx.com/api/v1/calc/cpm-performance",
      "capability_id": "engineering.process.cpm_performance",
      "calculation_version": "1.0.1",
      "tier": "engine_tested",
      "input_schema": "https://www.calculatorx.com/schemas/engineering.process.cpm_performance.input.json",
      "output_schema": "https://www.calculatorx.com/schemas/engineering.process.cpm_performance.output.json",
      "evidence": "https://www.calculatorx.com/evidence/engineering.process.cpm_performance/1.0.1.json",
      "trust": {
        "engine_tested": true,
        "expert_reviewed": false,
        "internally_reviewed": false,
        "review_kind": null,
        "source_checked": true,
        "reviewed_by": null,
        "reviewer_role": null,
        "last_reviewed": null,
        "version_lock_supported": true,
        "expert_review_status": "optional_not_performed",
        "internal_review_status": "not_applicable"
      }
    },
    {
      "name": "cpmk",
      "engine": "cpmk",
      "description": "lsl, usl, mu, sigma, target",
      "page": "https://www.calculatorx.com/calc/engineering/process-capability-cpmk",
      "endpoint": "https://www.calculatorx.com/api/v1/calc/cpmk",
      "capability_id": "engineering.process.cpmk",
      "calculation_version": "1.0.1",
      "tier": "engine_tested",
      "input_schema": "https://www.calculatorx.com/schemas/engineering.process.cpmk.input.json",
      "output_schema": "https://www.calculatorx.com/schemas/engineering.process.cpmk.output.json",
      "evidence": "https://www.calculatorx.com/evidence/engineering.process.cpmk/1.0.1.json",
      "trust": {
        "engine_tested": true,
        "expert_reviewed": false,
        "internally_reviewed": false,
        "review_kind": null,
        "source_checked": true,
        "reviewed_by": null,
        "reviewer_role": null,
        "last_reviewed": null,
        "version_lock_supported": true,
        "expert_review_status": "optional_not_performed",
        "internal_review_status": "not_applicable"
      }
    },
    {
      "name": "cpmk-performance",
      "engine": "cpmk-performance",
      "description": "values, lsl, usl, target; ddof?",
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      "engine": "guard-band",
      "description": "u, k?, usl?, lsl?",
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      "capability_id": "engineering.process.guard_band",
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      "description": "values, ddof?",
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      "description": "a, distribution?",
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      "capability_id": "engineering.uncertainty.type_b",
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      "page": "https://www.calculatorx.com/calc/engineering/welch-satterthwaite",
      "endpoint": "https://www.calculatorx.com/api/v1/calc/welch-satterthwaite",
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      "capability_id": "engineering.uncertainty.weighted_mean",
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      "tier": "engine_tested",
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      "capability_id": "engineering.uncertainty.tur",
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      "endpoint": "https://www.calculatorx.com/api/v1/calc/decision-rule",
      "capability_id": "engineering.conformity.decision_rule",
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      "page": "https://www.calculatorx.com/calc/engineering/reproducibility",
      "endpoint": "https://www.calculatorx.com/api/v1/calc/reproducibility",
      "capability_id": "engineering.measurement.reproducibility",
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        "source_checked": true,
        "reviewed_by": null,
        "reviewer_role": null,
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        "version_lock_supported": true,
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      "engine": "precision-uncertainty",
      "description": "s_r, s_L, n",
      "page": "https://www.calculatorx.com/calc/engineering/precision-uncertainty",
      "endpoint": "https://www.calculatorx.com/api/v1/calc/precision-uncertainty",
      "capability_id": "engineering.uncertainty.precision_mean",
      "calculation_version": "1.0.1",
      "tier": "engine_tested",
      "input_schema": "https://www.calculatorx.com/schemas/engineering.uncertainty.precision_mean.input.json",
      "output_schema": "https://www.calculatorx.com/schemas/engineering.uncertainty.precision_mean.output.json",
      "evidence": "https://www.calculatorx.com/evidence/engineering.uncertainty.precision_mean/1.0.1.json",
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        "internally_reviewed": false,
        "review_kind": null,
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        "reviewed_by": null,
        "reviewer_role": null,
        "last_reviewed": null,
        "version_lock_supported": true,
        "expert_review_status": "optional_not_performed",
        "internal_review_status": "not_applicable"
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      "name": "pooled-sd",
      "engine": "pooled-sd",
      "description": "s, nu",
      "page": "https://www.calculatorx.com/calc/engineering/pooled-standard-deviation",
      "endpoint": "https://www.calculatorx.com/api/v1/calc/pooled-sd",
      "capability_id": "engineering.uncertainty.pooled_sd",
      "calculation_version": "1.0.1",
      "tier": "engine_tested",
      "input_schema": "https://www.calculatorx.com/schemas/engineering.uncertainty.pooled_sd.input.json",
      "output_schema": "https://www.calculatorx.com/schemas/engineering.uncertainty.pooled_sd.output.json",
      "evidence": "https://www.calculatorx.com/evidence/engineering.uncertainty.pooled_sd/1.0.1.json",
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        "engine_tested": true,
        "expert_reviewed": false,
        "internally_reviewed": false,
        "review_kind": null,
        "source_checked": true,
        "reviewed_by": null,
        "reviewer_role": null,
        "last_reviewed": null,
        "version_lock_supported": true,
        "expert_review_status": "optional_not_performed",
        "internal_review_status": "not_applicable"
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    },
    {
      "name": "duplicate-sd",
      "engine": "duplicate-sd",
      "description": "d | y1, y2",
      "page": "https://www.calculatorx.com/calc/engineering/repeatability-from-duplicates",
      "endpoint": "https://www.calculatorx.com/api/v1/calc/duplicate-sd",
      "capability_id": "engineering.measurement.duplicate_sd",
      "calculation_version": "1.0.1",
      "tier": "engine_tested",
      "input_schema": "https://www.calculatorx.com/schemas/engineering.measurement.duplicate_sd.input.json",
      "output_schema": "https://www.calculatorx.com/schemas/engineering.measurement.duplicate_sd.output.json",
      "evidence": "https://www.calculatorx.com/evidence/engineering.measurement.duplicate_sd/1.0.1.json",
      "trust": {
        "engine_tested": true,
        "expert_reviewed": false,
        "internally_reviewed": false,
        "review_kind": null,
        "source_checked": true,
        "reviewed_by": null,
        "reviewer_role": null,
        "last_reviewed": null,
        "version_lock_supported": true,
        "expert_review_status": "optional_not_performed",
        "internal_review_status": "not_applicable"
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    },
    {
      "name": "cochran",
      "engine": "cochran",
      "description": "s",
      "page": "https://www.calculatorx.com/calc/engineering/cochrans-c",
      "endpoint": "https://www.calculatorx.com/api/v1/calc/cochran",
      "capability_id": "engineering.measurement.cochran",
      "calculation_version": "1.0.1",
      "tier": "engine_tested",
      "input_schema": "https://www.calculatorx.com/schemas/engineering.measurement.cochran.input.json",
      "output_schema": "https://www.calculatorx.com/schemas/engineering.measurement.cochran.output.json",
      "evidence": "https://www.calculatorx.com/evidence/engineering.measurement.cochran/1.0.1.json",
      "trust": {
        "engine_tested": true,
        "expert_reviewed": false,
        "internally_reviewed": false,
        "review_kind": null,
        "source_checked": true,
        "reviewed_by": null,
        "reviewer_role": null,
        "last_reviewed": null,
        "version_lock_supported": true,
        "expert_review_status": "optional_not_performed",
        "internal_review_status": "not_applicable"
      }
    },
    {
      "name": "gauge-capability",
      "engine": "gauge-capability",
      "description": "values, xm, T|lsl+usl|tol; frac?",
      "page": "https://www.calculatorx.com/calc/engineering/gauge-capability",
      "endpoint": "https://www.calculatorx.com/api/v1/calc/gauge-capability",
      "capability_id": "engineering.msa.gauge_capability",
      "calculation_version": "1.0.1",
      "tier": "engine_tested",
      "input_schema": "https://www.calculatorx.com/schemas/engineering.msa.gauge_capability.input.json",
      "output_schema": "https://www.calculatorx.com/schemas/engineering.msa.gauge_capability.output.json",
      "evidence": "https://www.calculatorx.com/evidence/engineering.msa.gauge_capability/1.0.1.json",
      "trust": {
        "engine_tested": true,
        "expert_reviewed": false,
        "internally_reviewed": false,
        "review_kind": null,
        "source_checked": true,
        "reviewed_by": null,
        "reviewer_role": null,
        "last_reviewed": null,
        "version_lock_supported": true,
        "expert_review_status": "optional_not_performed",
        "internal_review_status": "not_applicable"
      }
    },
    {
      "name": "gauge-rr",
      "engine": "gauge-rr",
      "description": "ev|rbar, av, pv; d2?",
      "page": "https://www.calculatorx.com/calc/engineering/gauge-repeatability-reproducibility",
      "endpoint": "https://www.calculatorx.com/api/v1/calc/gauge-rr",
      "capability_id": "engineering.msa.gauge_rr",
      "calculation_version": "1.0.0",
      "tier": "engine_tested",
      "input_schema": "https://www.calculatorx.com/schemas/engineering.msa.gauge_rr.input.json",
      "output_schema": "https://www.calculatorx.com/schemas/engineering.msa.gauge_rr.output.json",
      "evidence": "https://www.calculatorx.com/evidence/engineering.msa.gauge_rr/1.0.0.json",
      "trust": {
        "engine_tested": true,
        "expert_reviewed": false,
        "internally_reviewed": false,
        "review_kind": null,
        "source_checked": true,
        "reviewed_by": null,
        "reviewer_role": null,
        "last_reviewed": null,
        "version_lock_supported": true,
        "expert_review_status": "optional_not_performed",
        "internal_review_status": "not_applicable"
      }
    },
    {
      "name": "receiver-sensitivity",
      "engine": "receiver-sensitivity",
      "description": "NF_dB, BW_Hz, SNR_dB",
      "page": "https://www.calculatorx.com/calc/electric/receiver-sensitivity",
      "endpoint": "https://www.calculatorx.com/api/v1/calc/receiver-sensitivity",
      "capability_id": "electrical.rf.receiver_sensitivity",
      "calculation_version": "1.0.0",
      "tier": "internally_reviewed",
      "input_schema": "https://www.calculatorx.com/schemas/electrical.rf.receiver_sensitivity.input.json",
      "output_schema": "https://www.calculatorx.com/schemas/electrical.rf.receiver_sensitivity.output.json",
      "evidence": "https://www.calculatorx.com/evidence/electrical.rf.receiver_sensitivity/1.0.0.json",
      "trust": {
        "engine_tested": true,
        "expert_reviewed": false,
        "internally_reviewed": true,
        "review_kind": "internal",
        "source_checked": true,
        "reviewed_by": "CalculatorX electrical review",
        "reviewer_role": null,
        "last_reviewed": "2026-08-09",
        "version_lock_supported": true,
        "expert_review_status": "not_applicable",
        "internal_review_status": "approved"
      }
    },
    {
      "name": "ldo-thermal",
      "engine": "ldo-thermal",
      "description": "Vin_V, Vout_V, Iout_A, Ta_C, Rth; Iq?",
      "page": "https://www.calculatorx.com/calc/electric/ldo-thermal",
      "endpoint": "https://www.calculatorx.com/api/v1/calc/ldo-thermal",
      "capability_id": "electrical.ldo.thermal",
      "calculation_version": "1.0.0",
      "tier": "internally_reviewed",
      "input_schema": "https://www.calculatorx.com/schemas/electrical.ldo.thermal.input.json",
      "output_schema": "https://www.calculatorx.com/schemas/electrical.ldo.thermal.output.json",
      "evidence": "https://www.calculatorx.com/evidence/electrical.ldo.thermal/1.0.0.json",
      "trust": {
        "engine_tested": true,
        "expert_reviewed": false,
        "internally_reviewed": true,
        "review_kind": "internal",
        "source_checked": true,
        "reviewed_by": "CalculatorX electrical review",
        "reviewer_role": null,
        "last_reviewed": "2026-08-09",
        "version_lock_supported": true,
        "expert_review_status": "not_applicable",
        "internal_review_status": "approved"
      }
    },
    {
      "name": "hz-rads",
      "engine": "hz-rads",
      "description": "mode hz-rad|rad-hz; value",
      "page": "https://www.calculatorx.com/calc/physics/hz-rads",
      "endpoint": "https://www.calculatorx.com/api/v1/calc/hz-rads",
      "capability_id": "units.frequency.hz_rads",
      "calculation_version": "1.0.0",
      "tier": "internally_reviewed",
      "input_schema": "https://www.calculatorx.com/schemas/units.frequency.hz_rads.input.json",
      "output_schema": "https://www.calculatorx.com/schemas/units.frequency.hz_rads.output.json",
      "evidence": "https://www.calculatorx.com/evidence/units.frequency.hz_rads/1.0.0.json",
      "trust": {
        "engine_tested": true,
        "expert_reviewed": false,
        "internally_reviewed": true,
        "review_kind": "internal",
        "source_checked": true,
        "reviewed_by": "CalculatorX physics/RF review",
        "reviewer_role": null,
        "last_reviewed": "2026-08-09",
        "version_lock_supported": true,
        "expert_review_status": "not_applicable",
        "internal_review_status": "approved"
      }
    },
    {
      "name": "tesla-gauss",
      "engine": "tesla-gauss",
      "description": "mode t-g|g-t; value",
      "page": "https://www.calculatorx.com/calc/physics/tesla-gauss",
      "endpoint": "https://www.calculatorx.com/api/v1/calc/tesla-gauss",
      "capability_id": "units.magnetic.tesla_gauss",
      "calculation_version": "1.0.0",
      "tier": "internally_reviewed",
      "input_schema": "https://www.calculatorx.com/schemas/units.magnetic.tesla_gauss.input.json",
      "output_schema": "https://www.calculatorx.com/schemas/units.magnetic.tesla_gauss.output.json",
      "evidence": "https://www.calculatorx.com/evidence/units.magnetic.tesla_gauss/1.0.0.json",
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        "engine_tested": true,
        "expert_reviewed": false,
        "internally_reviewed": true,
        "review_kind": "internal",
        "source_checked": true,
        "reviewed_by": "CalculatorX physics/RF review",
        "reviewer_role": null,
        "last_reviewed": "2026-08-09",
        "version_lock_supported": true,
        "expert_review_status": "not_applicable",
        "internal_review_status": "approved"
      }
    },
    {
      "name": "wavelength",
      "engine": "wavelength",
      "description": "mode lambda|freq; f_Hz|lambda_m; VF|er?",
      "page": "https://www.calculatorx.com/calc/electric/wavelength",
      "endpoint": "https://www.calculatorx.com/api/v1/calc/wavelength",
      "capability_id": "electrical.rf.wavelength",
      "calculation_version": "1.0.0",
      "tier": "internally_reviewed",
      "input_schema": "https://www.calculatorx.com/schemas/electrical.rf.wavelength.input.json",
      "output_schema": "https://www.calculatorx.com/schemas/electrical.rf.wavelength.output.json",
      "evidence": "https://www.calculatorx.com/evidence/electrical.rf.wavelength/1.0.0.json",
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        "engine_tested": true,
        "expert_reviewed": false,
        "internally_reviewed": true,
        "review_kind": "internal",
        "source_checked": true,
        "reviewed_by": "CalculatorX physics/RF review",
        "reviewer_role": null,
        "last_reviewed": "2026-08-09",
        "version_lock_supported": true,
        "expert_review_status": "not_applicable",
        "internal_review_status": "approved"
      }
    },
    {
      "name": "coax-impedance",
      "engine": "coax-impedance",
      "description": "D_m, d_m, er?",
      "page": "https://www.calculatorx.com/calc/electric/coax-impedance",
      "endpoint": "https://www.calculatorx.com/api/v1/calc/coax-impedance",
      "capability_id": "electrical.rf.coax",
      "calculation_version": "1.0.1",
      "tier": "internally_reviewed",
      "input_schema": "https://www.calculatorx.com/schemas/electrical.rf.coax.input.json",
      "output_schema": "https://www.calculatorx.com/schemas/electrical.rf.coax.output.json",
      "evidence": "https://www.calculatorx.com/evidence/electrical.rf.coax/1.0.1.json",
      "trust": {
        "engine_tested": true,
        "expert_reviewed": false,
        "internally_reviewed": true,
        "review_kind": "internal",
        "source_checked": true,
        "reviewed_by": "CalculatorX physics/RF review",
        "reviewer_role": "rf-engineering",
        "last_reviewed": "2026-09-12",
        "version_lock_supported": true,
        "expert_review_status": "not_applicable",
        "internal_review_status": "approved"
      }
    },
    {
      "name": "lc-match",
      "engine": "lc-match",
      "description": "Z0_ohm, RL_ohm, f_Hz",
      "page": "https://www.calculatorx.com/calc/electric/lc-match",
      "endpoint": "https://www.calculatorx.com/api/v1/calc/lc-match",
      "capability_id": "electrical.rf.lc_match",
      "calculation_version": "1.0.0",
      "tier": "internally_reviewed",
      "input_schema": "https://www.calculatorx.com/schemas/electrical.rf.lc_match.input.json",
      "output_schema": "https://www.calculatorx.com/schemas/electrical.rf.lc_match.output.json",
      "evidence": "https://www.calculatorx.com/evidence/electrical.rf.lc_match/1.0.0.json",
      "trust": {
        "engine_tested": true,
        "expert_reviewed": false,
        "internally_reviewed": true,
        "review_kind": "internal",
        "source_checked": true,
        "reviewed_by": "CalculatorX physics/RF review",
        "reviewer_role": null,
        "last_reviewed": "2026-08-09",
        "version_lock_supported": true,
        "expert_review_status": "not_applicable",
        "internal_review_status": "approved"
      }
    },
    {
      "name": "smith-chart",
      "engine": "smith-chart",
      "description": "mode z-gamma|gamma-z|match|match-steps|s11-touchstone|auto-match; z/Γ/RL/Z0/f/steps(L·C·R·tline·stub·xfmr·‖RLC)/touchstone/topology",
      "page": "https://www.calculatorx.com/calc/electric/smith-chart",
      "endpoint": "https://www.calculatorx.com/api/v1/calc/smith-chart",
      "capability_id": "electrical.rf.smith",
      "calculation_version": "1.6.3",
      "tier": "internally_reviewed",
      "input_schema": "https://www.calculatorx.com/schemas/electrical.rf.smith.input.json",
      "output_schema": "https://www.calculatorx.com/schemas/electrical.rf.smith.output.json",
      "evidence": "https://www.calculatorx.com/evidence/electrical.rf.smith/1.6.3.json",
      "trust": {
        "engine_tested": true,
        "expert_reviewed": false,
        "internally_reviewed": true,
        "review_kind": "internal",
        "source_checked": true,
        "reviewed_by": "CalculatorX Internal RF review",
        "reviewer_role": "Internal RF review",
        "last_reviewed": "2026-08-09",
        "version_lock_supported": true,
        "expert_review_status": "not_applicable",
        "internal_review_status": "approved"
      }
    },
    {
      "name": "gamma-z",
      "engine": "gamma-z",
      "description": "mode z-gamma|gamma-z|polar-z; z or Γ",
      "page": "https://www.calculatorx.com/calc/electric/gamma-z",
      "endpoint": "https://www.calculatorx.com/api/v1/calc/gamma-z",
      "capability_id": "electrical.rf.gamma_z",
      "calculation_version": "1.0.0",
      "tier": "internally_reviewed",
      "input_schema": "https://www.calculatorx.com/schemas/electrical.rf.gamma_z.input.json",
      "output_schema": "https://www.calculatorx.com/schemas/electrical.rf.gamma_z.output.json",
      "evidence": "https://www.calculatorx.com/evidence/electrical.rf.gamma_z/1.0.0.json",
      "trust": {
        "engine_tested": true,
        "expert_reviewed": false,
        "internally_reviewed": true,
        "review_kind": "internal",
        "source_checked": true,
        "reviewed_by": "CalculatorX physics/RF review",
        "reviewer_role": null,
        "last_reviewed": "2026-08-09",
        "version_lock_supported": true,
        "expert_review_status": "not_applicable",
        "internal_review_status": "approved"
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    },
    {
      "name": "kwh-joule",
      "engine": "kwh-joule",
      "description": "mode kwh-j|j-kwh; value",
      "page": "https://www.calculatorx.com/calc/physics/kwh-joule",
      "endpoint": "https://www.calculatorx.com/api/v1/calc/kwh-joule",
      "capability_id": "units.energy.kwh_joule",
      "calculation_version": "1.0.0",
      "tier": "internally_reviewed",
      "input_schema": "https://www.calculatorx.com/schemas/units.energy.kwh_joule.input.json",
      "output_schema": "https://www.calculatorx.com/schemas/units.energy.kwh_joule.output.json",
      "evidence": "https://www.calculatorx.com/evidence/units.energy.kwh_joule/1.0.0.json",
      "trust": {
        "engine_tested": true,
        "expert_reviewed": false,
        "internally_reviewed": true,
        "review_kind": "internal",
        "source_checked": true,
        "reviewed_by": "CalculatorX physics review",
        "reviewer_role": null,
        "last_reviewed": "2026-08-09",
        "version_lock_supported": true,
        "expert_review_status": "not_applicable",
        "internal_review_status": "approved"
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    {
      "name": "watt-hp",
      "engine": "watt-hp",
      "description": "mode w-hp|hp-w; value",
      "page": "https://www.calculatorx.com/calc/physics/watt-hp",
      "endpoint": "https://www.calculatorx.com/api/v1/calc/watt-hp",
      "capability_id": "units.power.watt_hp",
      "calculation_version": "1.0.0",
      "tier": "internally_reviewed",
      "input_schema": "https://www.calculatorx.com/schemas/units.power.watt_hp.input.json",
      "output_schema": "https://www.calculatorx.com/schemas/units.power.watt_hp.output.json",
      "evidence": "https://www.calculatorx.com/evidence/units.power.watt_hp/1.0.0.json",
      "trust": {
        "engine_tested": true,
        "expert_reviewed": false,
        "internally_reviewed": true,
        "review_kind": "internal",
        "source_checked": true,
        "reviewed_by": "CalculatorX physics review",
        "reviewer_role": null,
        "last_reviewed": "2026-08-09",
        "version_lock_supported": true,
        "expert_review_status": "not_applicable",
        "internal_review_status": "approved"
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    {
      "name": "projectile",
      "engine": "projectile",
      "description": "mode full|range; v0_m_s, angle_deg; g?",
      "page": "https://www.calculatorx.com/calc/physics/projectile",
      "endpoint": "https://www.calculatorx.com/api/v1/calc/projectile",
      "capability_id": "physics.kinematics.projectile",
      "calculation_version": "1.0.0",
      "tier": "internally_reviewed",
      "input_schema": "https://www.calculatorx.com/schemas/physics.kinematics.projectile.input.json",
      "output_schema": "https://www.calculatorx.com/schemas/physics.kinematics.projectile.output.json",
      "evidence": "https://www.calculatorx.com/evidence/physics.kinematics.projectile/1.0.0.json",
      "trust": {
        "engine_tested": true,
        "expert_reviewed": false,
        "internally_reviewed": true,
        "review_kind": "internal",
        "source_checked": true,
        "reviewed_by": "CalculatorX physics review",
        "reviewer_role": null,
        "last_reviewed": "2026-08-09",
        "version_lock_supported": true,
        "expert_review_status": "not_applicable",
        "internal_review_status": "approved"
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    },
    {
      "name": "force",
      "engine": "force",
      "description": "mode F|a|m; m_kg, a_m_s2|F_N",
      "page": "https://www.calculatorx.com/calc/physics/force",
      "endpoint": "https://www.calculatorx.com/api/v1/calc/force",
      "capability_id": "physics.dynamics.force",
      "calculation_version": "1.0.0",
      "tier": "internally_reviewed",
      "input_schema": "https://www.calculatorx.com/schemas/physics.dynamics.force.input.json",
      "output_schema": "https://www.calculatorx.com/schemas/physics.dynamics.force.output.json",
      "evidence": "https://www.calculatorx.com/evidence/physics.dynamics.force/1.0.0.json",
      "trust": {
        "engine_tested": true,
        "expert_reviewed": false,
        "internally_reviewed": true,
        "review_kind": "internal",
        "source_checked": true,
        "reviewed_by": "CalculatorX physics review",
        "reviewer_role": null,
        "last_reviewed": "2026-08-09",
        "version_lock_supported": true,
        "expert_review_status": "not_applicable",
        "internal_review_status": "approved"
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    },
    {
      "name": "reynolds",
      "engine": "reynolds",
      "description": "v_m_s, L_m; rho+mu or nu",
      "page": "https://www.calculatorx.com/calc/physics/reynolds",
      "endpoint": "https://www.calculatorx.com/api/v1/calc/reynolds",
      "capability_id": "physics.fluid.reynolds",
      "calculation_version": "1.0.0",
      "tier": "internally_reviewed",
      "input_schema": "https://www.calculatorx.com/schemas/physics.fluid.reynolds.input.json",
      "output_schema": "https://www.calculatorx.com/schemas/physics.fluid.reynolds.output.json",
      "evidence": "https://www.calculatorx.com/evidence/physics.fluid.reynolds/1.0.0.json",
      "trust": {
        "engine_tested": true,
        "expert_reviewed": false,
        "internally_reviewed": true,
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        "source_checked": true,
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        "last_reviewed": "2026-08-09",
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      "description": "Re, rel_roughness | eps_m+D_m",
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      "name": "darcy-weisbach",
      "engine": "darcy-weisbach",
      "description": "f, L, v, D, rho, g?",
      "page": "https://www.calculatorx.com/calc/physics/darcy-weisbach",
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      "engine": "manning-formula",
      "description": "mode discharge|velocity|n|slope; n; A; R|P; S; Q?",
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      "capability_id": "physics.fluid.manning",
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      "name": "weir-discharge",
      "engine": "weir-discharge",
      "description": "mode rectangular|triangular; H|Q; L (rect); theta_deg? (tri, default 90); Cd?",
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      "capability_id": "physics.fluid.weir",
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      "tier": "engine_tested",
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      "output_schema": "https://www.calculatorx.com/schemas/physics.fluid.weir.output.json",
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      "engine": "orifice-discharge",
      "description": "mode tank|meter; tank: A|d, H|Q, Cd?; meter: d, D, rho, dP|Q, Cd?",
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      "capability_id": "physics.fluid.orifice",
      "calculation_version": "1.0.0",
      "tier": "engine_tested",
      "input_schema": "https://www.calculatorx.com/schemas/physics.fluid.orifice.input.json",
      "output_schema": "https://www.calculatorx.com/schemas/physics.fluid.orifice.output.json",
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        "review_kind": null,
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      "description": "mode power|affinity; power: Q, H|dP, eta?, P?; affinity: Q1, H1, N1/N2 and/or D1/D2, P1?",
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      "endpoint": "https://www.calculatorx.com/api/v1/calc/pump-power",
      "capability_id": "physics.fluid.pump",
      "calculation_version": "1.0.0",
      "tier": "engine_tested",
      "input_schema": "https://www.calculatorx.com/schemas/physics.fluid.pump.input.json",
      "output_schema": "https://www.calculatorx.com/schemas/physics.fluid.pump.output.json",
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        "review_kind": null,
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        "version_lock_supported": true,
        "expert_review_status": "optional_not_performed",
        "internal_review_status": "not_applicable"
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      "name": "npsh",
      "engine": "npsh",
      "description": "mode available|margin; p_v; flange: p_s, v_s?, z_s?; tank: z, hf?, p_atm?; NPSHr?; rho?",
      "page": "https://www.calculatorx.com/calc/physics/npsh",
      "endpoint": "https://www.calculatorx.com/api/v1/calc/npsh",
      "capability_id": "physics.fluid.npsh",
      "calculation_version": "1.0.0",
      "tier": "engine_tested",
      "input_schema": "https://www.calculatorx.com/schemas/physics.fluid.npsh.input.json",
      "output_schema": "https://www.calculatorx.com/schemas/physics.fluid.npsh.output.json",
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        "review_kind": null,
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      "name": "hydraulic-diameter",
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      "description": "mode general|circular|rectangular|annular; general: A,Pw|R|A+Dh; circular: D; rectangular: a,b; annular: D_o,D_i",
      "page": "https://www.calculatorx.com/calc/physics/hydraulic-diameter",
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      "capability_id": "physics.fluid.hydraulic_diameter",
      "calculation_version": "1.0.0",
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      "name": "hazen-williams",
      "engine": "hazen-williams",
      "description": "mode head_loss|flow|diameter|C; C, L, Q, D; invert: hf|S",
      "page": "https://www.calculatorx.com/calc/physics/hazen-williams",
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      "capability_id": "physics.fluid.hazen_williams",
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        "review_kind": null,
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        "version_lock_supported": true,
        "expert_review_status": "optional_not_performed",
        "internal_review_status": "not_applicable"
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    {
      "name": "minor-loss",
      "engine": "minor-loss",
      "description": "mode head_loss|K|velocity; K, v; invert: hm; rho?",
      "page": "https://www.calculatorx.com/calc/physics/minor-loss",
      "endpoint": "https://www.calculatorx.com/api/v1/calc/minor-loss",
      "capability_id": "physics.fluid.minor_loss",
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      "output_schema": "https://www.calculatorx.com/schemas/physics.fluid.minor_loss.output.json",
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        "review_kind": null,
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        "version_lock_supported": true,
        "expert_review_status": "optional_not_performed",
        "internal_review_status": "not_applicable"
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    {
      "name": "venturi",
      "engine": "venturi",
      "description": "mode flow|pressure|throat|Cd; D1, D2, rho, dP|dH; invert: Q; Cd?",
      "page": "https://www.calculatorx.com/calc/physics/venturi",
      "endpoint": "https://www.calculatorx.com/api/v1/calc/venturi",
      "capability_id": "physics.fluid.venturi",
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        "review_kind": null,
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      "name": "valve-flow-coefficient",
      "engine": "valve-flow-coefficient",
      "description": "mode flow|pressure|Kv|Cv; Kv|Cv, dP|Q; SG?",
      "page": "https://www.calculatorx.com/calc/physics/valve-flow-coefficient",
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      "capability_id": "physics.fluid.valve_cv",
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      "output_schema": "https://www.calculatorx.com/schemas/physics.fluid.valve_cv.output.json",
      "evidence": "https://www.calculatorx.com/evidence/physics.fluid.valve_cv/1.0.0.json",
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        "review_kind": null,
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        "version_lock_supported": true,
        "expert_review_status": "optional_not_performed",
        "internal_review_status": "not_applicable"
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    {
      "name": "chezy-formula",
      "engine": "chezy-formula",
      "description": "mode velocity|C|R|S; C, R, S | v; invert: C, R, S",
      "page": "https://www.calculatorx.com/calc/physics/chezy-formula",
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      "capability_id": "physics.fluid.chezy",
      "calculation_version": "1.0.0",
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        "review_kind": null,
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        "version_lock_supported": true,
        "expert_review_status": "optional_not_performed",
        "internal_review_status": "not_applicable"
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    {
      "name": "pitot-tube",
      "engine": "pitot-tube",
      "description": "mode velocity|pressure|C; dP, rho; C?; invert: v",
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      "capability_id": "physics.fluid.pitot",
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        "review_kind": null,
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      "name": "froude-number",
      "engine": "froude-number",
      "description": "mode Fr|velocity|length; v, L; g?; invert: Fr",
      "page": "https://www.calculatorx.com/calc/physics/froude-number",
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      "capability_id": "physics.fluid.froude",
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      "output_schema": "https://www.calculatorx.com/schemas/physics.fluid.froude.output.json",
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      "name": "weber-number",
      "engine": "weber-number",
      "description": "mode We|velocity|length|sigma; v, L, rho, sigma; invert: We",
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      "capability_id": "physics.fluid.weber",
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      "name": "hydraulic-jump",
      "engine": "hydraulic-jump",
      "description": "mode sequent|upstream|energy; y1, Fr|v; invert: y2",
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      "name": "hagen-poiseuille",
      "engine": "hagen-poiseuille",
      "description": "mode flow|pressure|diameter|viscosity; dP, D, mu, L; invert: Q",
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      "capability_id": "physics.fluid.poiseuille",
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      "name": "specific-energy",
      "engine": "specific-energy",
      "description": "mode energy|depth|velocity; y, v; invert: E",
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      "capability_id": "physics.fluid.specific_energy",
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      "name": "critical-depth",
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      "description": "mode depth|unit_discharge; q|Q+b; invert: yc",
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      "input_schema": "https://www.calculatorx.com/schemas/physics.fluid.trapezoid_alternate_depth.input.json",
      "output_schema": "https://www.calculatorx.com/schemas/physics.fluid.trapezoid_alternate_depth.output.json",
      "evidence": "https://www.calculatorx.com/evidence/physics.fluid.trapezoid_alternate_depth/1.0.0.json",
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        "expert_reviewed": false,
        "internally_reviewed": false,
        "review_kind": null,
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        "last_reviewed": null,
        "version_lock_supported": true,
        "expert_review_status": "optional_not_performed",
        "internal_review_status": "not_applicable"
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      "engine": "trapezoidal-hydraulic-jump",
      "description": "mode sequent|upstream|energy; b; z; Q; y1|y2; g?",
      "page": "https://www.calculatorx.com/calc/physics/trapezoidal-hydraulic-jump",
      "endpoint": "https://www.calculatorx.com/api/v1/calc/trapezoidal-hydraulic-jump",
      "capability_id": "physics.fluid.trapezoid_hydraulic_jump",
      "calculation_version": "1.0.0",
      "tier": "engine_tested",
      "input_schema": "https://www.calculatorx.com/schemas/physics.fluid.trapezoid_hydraulic_jump.input.json",
      "output_schema": "https://www.calculatorx.com/schemas/physics.fluid.trapezoid_hydraulic_jump.output.json",
      "evidence": "https://www.calculatorx.com/evidence/physics.fluid.trapezoid_hydraulic_jump/1.0.0.json",
      "trust": {
        "engine_tested": true,
        "expert_reviewed": false,
        "internally_reviewed": false,
        "review_kind": null,
        "source_checked": true,
        "reviewed_by": null,
        "reviewer_role": null,
        "last_reviewed": null,
        "version_lock_supported": true,
        "expert_review_status": "optional_not_performed",
        "internal_review_status": "not_applicable"
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    {
      "name": "trapezoidal-specific-force",
      "engine": "trapezoidal-specific-force",
      "description": "mode force|depth; b; z; Q; y|M; g?; branch?",
      "page": "https://www.calculatorx.com/calc/physics/trapezoidal-specific-force",
      "endpoint": "https://www.calculatorx.com/api/v1/calc/trapezoidal-specific-force",
      "capability_id": "physics.fluid.trapezoid_specific_force",
      "calculation_version": "1.0.0",
      "tier": "engine_tested",
      "input_schema": "https://www.calculatorx.com/schemas/physics.fluid.trapezoid_specific_force.input.json",
      "output_schema": "https://www.calculatorx.com/schemas/physics.fluid.trapezoid_specific_force.output.json",
      "evidence": "https://www.calculatorx.com/evidence/physics.fluid.trapezoid_specific_force/1.0.0.json",
      "trust": {
        "engine_tested": true,
        "expert_reviewed": false,
        "internally_reviewed": false,
        "review_kind": null,
        "source_checked": true,
        "reviewed_by": null,
        "reviewer_role": null,
        "last_reviewed": null,
        "version_lock_supported": true,
        "expert_review_status": "optional_not_performed",
        "internal_review_status": "not_applicable"
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    {
      "name": "henderson-hasselbalch",
      "engine": "henderson-hasselbalch",
      "description": "pKa|Ka, HA, A",
      "page": "https://www.calculatorx.com/calc/chemistry/henderson-hasselbalch",
      "endpoint": "https://www.calculatorx.com/api/v1/calc/henderson-hasselbalch",
      "capability_id": "chemistry.acid_base.henderson_hasselbalch",
      "calculation_version": "1.0.1",
      "tier": "engine_tested",
      "input_schema": "https://www.calculatorx.com/schemas/chemistry.acid_base.henderson_hasselbalch.input.json",
      "output_schema": "https://www.calculatorx.com/schemas/chemistry.acid_base.henderson_hasselbalch.output.json",
      "evidence": "https://www.calculatorx.com/evidence/chemistry.acid_base.henderson_hasselbalch/1.0.1.json",
      "trust": {
        "engine_tested": true,
        "expert_reviewed": false,
        "internally_reviewed": false,
        "review_kind": null,
        "source_checked": true,
        "reviewed_by": null,
        "reviewer_role": null,
        "last_reviewed": null,
        "version_lock_supported": true,
        "expert_review_status": "optional_not_performed",
        "internal_review_status": "not_applicable"
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    {
      "name": "mole",
      "engine": "mole",
      "description": "mode from_mass|to_mass|from_particles|to_particles; mass, molar_mass | amount | particles",
      "page": "https://www.calculatorx.com/calc/chemistry/mole",
      "endpoint": "https://www.calculatorx.com/api/v1/calc/mole",
      "capability_id": "chemistry.mole.amount",
      "calculation_version": "1.0.1",
      "tier": "engine_tested",
      "input_schema": "https://www.calculatorx.com/schemas/chemistry.mole.amount.input.json",
      "output_schema": "https://www.calculatorx.com/schemas/chemistry.mole.amount.output.json",
      "evidence": "https://www.calculatorx.com/evidence/chemistry.mole.amount/1.0.1.json",
      "trust": {
        "engine_tested": true,
        "expert_reviewed": false,
        "internally_reviewed": false,
        "review_kind": null,
        "source_checked": true,
        "reviewed_by": null,
        "reviewer_role": null,
        "last_reviewed": null,
        "version_lock_supported": true,
        "expert_review_status": "optional_not_performed",
        "internal_review_status": "not_applicable"
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    },
    {
      "name": "molarity",
      "engine": "molarity",
      "description": "mode molarity|amount|volume|dilution; amount, volume | molarity | c1,v1,c2,v2",
      "page": "https://www.calculatorx.com/calc/chemistry/molarity",
      "endpoint": "https://www.calculatorx.com/api/v1/calc/molarity",
      "capability_id": "chemistry.solution.molarity",
      "calculation_version": "1.0.1",
      "tier": "engine_tested",
      "input_schema": "https://www.calculatorx.com/schemas/chemistry.solution.molarity.input.json",
      "output_schema": "https://www.calculatorx.com/schemas/chemistry.solution.molarity.output.json",
      "evidence": "https://www.calculatorx.com/evidence/chemistry.solution.molarity/1.0.1.json",
      "trust": {
        "engine_tested": true,
        "expert_reviewed": false,
        "internally_reviewed": false,
        "review_kind": null,
        "source_checked": true,
        "reviewed_by": null,
        "reviewer_role": null,
        "last_reviewed": null,
        "version_lock_supported": true,
        "expert_review_status": "optional_not_performed",
        "internal_review_status": "not_applicable"
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    },
    {
      "name": "ph",
      "engine": "ph",
      "description": "mode ph_from_h|h_from_ph|poh_from_oh|oh_from_poh|ph_from_poh|poh_from_ph; h | pH | oh | pOH",
      "page": "https://www.calculatorx.com/calc/chemistry/ph",
      "endpoint": "https://www.calculatorx.com/api/v1/calc/ph",
      "capability_id": "chemistry.acid_base.ph",
      "calculation_version": "1.0.1",
      "tier": "engine_tested",
      "input_schema": "https://www.calculatorx.com/schemas/chemistry.acid_base.ph.input.json",
      "output_schema": "https://www.calculatorx.com/schemas/chemistry.acid_base.ph.output.json",
      "evidence": "https://www.calculatorx.com/evidence/chemistry.acid_base.ph/1.0.1.json",
      "trust": {
        "engine_tested": true,
        "expert_reviewed": false,
        "internally_reviewed": false,
        "review_kind": null,
        "source_checked": true,
        "reviewed_by": null,
        "reviewer_role": null,
        "last_reviewed": null,
        "version_lock_supported": true,
        "expert_review_status": "optional_not_performed",
        "internal_review_status": "not_applicable"
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    },
    {
      "name": "weak-acid-equilibrium",
      "engine": "weak-acid-equilibrium",
      "description": "mode ice|ice_no_water; C; pKa|Ka",
      "page": "https://www.calculatorx.com/calc/chemistry/weak-acid-equilibrium",
      "endpoint": "https://www.calculatorx.com/api/v1/calc/weak-acid-equilibrium",
      "capability_id": "chemistry.equilibrium.weak_acid",
      "calculation_version": "1.0.4",
      "tier": "engine_tested",
      "input_schema": "https://www.calculatorx.com/schemas/chemistry.equilibrium.weak_acid.input.json",
      "output_schema": "https://www.calculatorx.com/schemas/chemistry.equilibrium.weak_acid.output.json",
      "evidence": "https://www.calculatorx.com/evidence/chemistry.equilibrium.weak_acid/1.0.4.json",
      "trust": {
        "engine_tested": true,
        "expert_reviewed": false,
        "internally_reviewed": false,
        "review_kind": null,
        "source_checked": true,
        "reviewed_by": null,
        "reviewer_role": null,
        "last_reviewed": null,
        "version_lock_supported": true,
        "expert_review_status": "optional_not_performed",
        "internal_review_status": "not_applicable"
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    },
    {
      "name": "weak-base-equilibrium",
      "engine": "weak-base-equilibrium",
      "description": "mode ice|ice_no_water; C; pKb|Kb",
      "page": "https://www.calculatorx.com/calc/chemistry/weak-base-equilibrium",
      "endpoint": "https://www.calculatorx.com/api/v1/calc/weak-base-equilibrium",
      "capability_id": "chemistry.equilibrium.weak_base",
      "calculation_version": "1.0.4",
      "tier": "engine_tested",
      "input_schema": "https://www.calculatorx.com/schemas/chemistry.equilibrium.weak_base.input.json",
      "output_schema": "https://www.calculatorx.com/schemas/chemistry.equilibrium.weak_base.output.json",
      "evidence": "https://www.calculatorx.com/evidence/chemistry.equilibrium.weak_base/1.0.4.json",
      "trust": {
        "engine_tested": true,
        "expert_reviewed": false,
        "internally_reviewed": false,
        "review_kind": null,
        "source_checked": true,
        "reviewed_by": null,
        "reviewer_role": null,
        "last_reviewed": null,
        "version_lock_supported": true,
        "expert_review_status": "optional_not_performed",
        "internal_review_status": "not_applicable"
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    },
    {
      "name": "stefan-boltzmann",
      "engine": "stefan-boltzmann",
      "description": "Th, Tc, epsilon?, A?",
      "page": "https://www.calculatorx.com/calc/physics/stefan-boltzmann",
      "endpoint": "https://www.calculatorx.com/api/v1/calc/stefan-boltzmann",
      "capability_id": "physics.thermo.stefan_boltzmann",
      "calculation_version": "1.0.0",
      "tier": "engine_tested",
      "input_schema": "https://www.calculatorx.com/schemas/physics.thermo.stefan_boltzmann.input.json",
      "output_schema": "https://www.calculatorx.com/schemas/physics.thermo.stefan_boltzmann.output.json",
      "evidence": "https://www.calculatorx.com/evidence/physics.thermo.stefan_boltzmann/1.0.0.json",
      "trust": {
        "engine_tested": true,
        "expert_reviewed": false,
        "internally_reviewed": false,
        "review_kind": null,
        "source_checked": true,
        "reviewed_by": null,
        "reviewer_role": null,
        "last_reviewed": null,
        "version_lock_supported": true,
        "expert_review_status": "optional_not_performed",
        "internal_review_status": "not_applicable"
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    },
    {
      "name": "linear-thermal-expansion",
      "engine": "linear-thermal-expansion",
      "description": "mode delta_length|final_length|coefficient|temperature_change; length_m; alpha_per_K and delta_temperature_K or delta_length_m",
      "page": "https://www.calculatorx.com/calc/physics/linear-thermal-expansion",
      "endpoint": "https://www.calculatorx.com/api/v1/calc/linear-thermal-expansion",
      "capability_id": "materials.thermal.linear_expansion",
      "calculation_version": "1.0.0",
      "tier": "engine_tested",
      "input_schema": "https://www.calculatorx.com/schemas/materials.thermal.linear_expansion.input.json",
      "output_schema": "https://www.calculatorx.com/schemas/materials.thermal.linear_expansion.output.json",
      "evidence": "https://www.calculatorx.com/evidence/materials.thermal.linear_expansion/1.0.0.json",
      "trust": {
        "engine_tested": true,
        "expert_reviewed": false,
        "internally_reviewed": false,
        "review_kind": null,
        "source_checked": true,
        "reviewed_by": null,
        "reviewer_role": null,
        "last_reviewed": null,
        "version_lock_supported": true,
        "expert_review_status": "optional_not_performed",
        "internal_review_status": "not_applicable"
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    },
    {
      "name": "planar-equilibrium",
      "engine": "planar-equilibrium",
      "description": "mode resultant|equilibrium; forces fx,fy,x,y,unknown; moments m,unknown",
      "page": "https://www.calculatorx.com/calc/mechanical/planar-equilibrium",
      "endpoint": "https://www.calculatorx.com/api/v1/calc/planar-equilibrium",
      "capability_id": "mechanical.statics.planar_equilibrium",
      "calculation_version": "1.0.0",
      "tier": "engine_tested",
      "input_schema": "https://www.calculatorx.com/schemas/mechanical.statics.planar_equilibrium.input.json",
      "output_schema": "https://www.calculatorx.com/schemas/mechanical.statics.planar_equilibrium.output.json",
      "evidence": "https://www.calculatorx.com/evidence/mechanical.statics.planar_equilibrium/1.0.0.json",
      "trust": {
        "engine_tested": true,
        "expert_reviewed": false,
        "internally_reviewed": false,
        "review_kind": null,
        "source_checked": true,
        "reviewed_by": null,
        "reviewer_role": null,
        "last_reviewed": null,
        "version_lock_supported": true,
        "expert_review_status": "optional_not_performed",
        "internal_review_status": "not_applicable"
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    },
    {
      "name": "plane-centroid",
      "engine": "plane-centroid",
      "description": "parts A,x,y rows; negative A is a hole",
      "page": "https://www.calculatorx.com/calc/mechanical/plane-centroid",
      "endpoint": "https://www.calculatorx.com/api/v1/calc/plane-centroid",
      "capability_id": "mechanical.statics.plane_centroid",
      "calculation_version": "1.0.0",
      "tier": "engine_tested",
      "input_schema": "https://www.calculatorx.com/schemas/mechanical.statics.plane_centroid.input.json",
      "output_schema": "https://www.calculatorx.com/schemas/mechanical.statics.plane_centroid.output.json",
      "evidence": "https://www.calculatorx.com/evidence/mechanical.statics.plane_centroid/1.0.0.json",
      "trust": {
        "engine_tested": true,
        "expert_reviewed": false,
        "internally_reviewed": false,
        "review_kind": null,
        "source_checked": true,
        "reviewed_by": null,
        "reviewer_role": null,
        "last_reviewed": null,
        "version_lock_supported": true,
        "expert_review_status": "optional_not_performed",
        "internal_review_status": "not_applicable"
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    },
    {
      "name": "area-moment",
      "engine": "area-moment",
      "description": "parts Ix,Iy,A,x,y rows; Ix,Iy are centroidal; negative A is a hole",
      "page": "https://www.calculatorx.com/calc/mechanical/area-moment",
      "endpoint": "https://www.calculatorx.com/api/v1/calc/area-moment",
      "capability_id": "mechanical.statics.area_moment",
      "calculation_version": "1.0.0",
      "tier": "engine_tested",
      "input_schema": "https://www.calculatorx.com/schemas/mechanical.statics.area_moment.input.json",
      "output_schema": "https://www.calculatorx.com/schemas/mechanical.statics.area_moment.output.json",
      "evidence": "https://www.calculatorx.com/evidence/mechanical.statics.area_moment/1.0.0.json",
      "trust": {
        "engine_tested": true,
        "expert_reviewed": false,
        "internally_reviewed": false,
        "review_kind": null,
        "source_checked": true,
        "reviewed_by": null,
        "reviewer_role": null,
        "last_reviewed": null,
        "version_lock_supported": true,
        "expert_review_status": "optional_not_performed",
        "internal_review_status": "not_applicable"
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    },
    {
      "name": "principal-moment",
      "engine": "principal-moment",
      "description": "parts Ix,Iy,Ixy,A,x,y rows; moments are centroidal; negative A is a hole",
      "page": "https://www.calculatorx.com/calc/mechanical/principal-moment",
      "endpoint": "https://www.calculatorx.com/api/v1/calc/principal-moment",
      "capability_id": "mechanical.statics.principal_moment",
      "calculation_version": "1.0.0",
      "tier": "engine_tested",
      "input_schema": "https://www.calculatorx.com/schemas/mechanical.statics.principal_moment.input.json",
      "output_schema": "https://www.calculatorx.com/schemas/mechanical.statics.principal_moment.output.json",
      "evidence": "https://www.calculatorx.com/evidence/mechanical.statics.principal_moment/1.0.0.json",
      "trust": {
        "engine_tested": true,
        "expert_reviewed": false,
        "internally_reviewed": false,
        "review_kind": null,
        "source_checked": true,
        "reviewed_by": null,
        "reviewer_role": null,
        "last_reviewed": null,
        "version_lock_supported": true,
        "expert_review_status": "optional_not_performed",
        "internal_review_status": "not_applicable"
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    },
    {
      "name": "shear-moment",
      "engine": "shear-moment",
      "description": "L; s; forces Fy,x; moments M,x. Upward and CCW positive",
      "page": "https://www.calculatorx.com/calc/mechanical/shear-moment",
      "endpoint": "https://www.calculatorx.com/api/v1/calc/shear-moment",
      "capability_id": "mechanical.statics.shear_moment",
      "calculation_version": "1.0.0",
      "tier": "engine_tested",
      "input_schema": "https://www.calculatorx.com/schemas/mechanical.statics.shear_moment.input.json",
      "output_schema": "https://www.calculatorx.com/schemas/mechanical.statics.shear_moment.output.json",
      "evidence": "https://www.calculatorx.com/evidence/mechanical.statics.shear_moment/1.0.0.json",
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        "engine_tested": true,
        "expert_reviewed": false,
        "internally_reviewed": false,
        "review_kind": null,
        "source_checked": true,
        "reviewed_by": null,
        "reviewer_role": null,
        "last_reviewed": null,
        "version_lock_supported": true,
        "expert_review_status": "optional_not_performed",
        "internal_review_status": "not_applicable"
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    {
      "name": "section-modulus",
      "engine": "section-modulus",
      "description": "parts Ix,Iy,A,x,y; cx; cy. Distances are from the composite centroid to the extreme fiber",
      "page": "https://www.calculatorx.com/calc/mechanical/section-modulus",
      "endpoint": "https://www.calculatorx.com/api/v1/calc/section-modulus",
      "capability_id": "mechanical.statics.section_modulus",
      "calculation_version": "1.0.0",
      "tier": "engine_tested",
      "input_schema": "https://www.calculatorx.com/schemas/mechanical.statics.section_modulus.input.json",
      "output_schema": "https://www.calculatorx.com/schemas/mechanical.statics.section_modulus.output.json",
      "evidence": "https://www.calculatorx.com/evidence/mechanical.statics.section_modulus/1.0.0.json",
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        "expert_reviewed": false,
        "internally_reviewed": false,
        "review_kind": null,
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        "version_lock_supported": true,
        "expert_review_status": "optional_not_performed",
        "internal_review_status": "not_applicable"
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    {
      "name": "principal-section-modulus",
      "engine": "principal-section-modulus",
      "description": "parts Ix,Iy,Ixy,A,x,y; c1; c2. Distances are along the principal axes",
      "page": "https://www.calculatorx.com/calc/mechanical/principal-section-modulus",
      "endpoint": "https://www.calculatorx.com/api/v1/calc/principal-section-modulus",
      "capability_id": "mechanical.statics.principal_section_modulus",
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      "tier": "engine_tested",
      "input_schema": "https://www.calculatorx.com/schemas/mechanical.statics.principal_section_modulus.input.json",
      "output_schema": "https://www.calculatorx.com/schemas/mechanical.statics.principal_section_modulus.output.json",
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        "expert_reviewed": false,
        "internally_reviewed": false,
        "review_kind": null,
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        "last_reviewed": null,
        "version_lock_supported": true,
        "expert_review_status": "optional_not_performed",
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    {
      "name": "inclined-axis-moment",
      "engine": "inclined-axis-moment",
      "description": "parts Ix,Iy,Ixy,A,x,y; theta_deg. θ is CCW from +x",
      "page": "https://www.calculatorx.com/calc/mechanical/inclined-axis-moment",
      "endpoint": "https://www.calculatorx.com/api/v1/calc/inclined-axis-moment",
      "capability_id": "mechanical.statics.inclined_axis_moment",
      "calculation_version": "1.0.0",
      "tier": "engine_tested",
      "input_schema": "https://www.calculatorx.com/schemas/mechanical.statics.inclined_axis_moment.input.json",
      "output_schema": "https://www.calculatorx.com/schemas/mechanical.statics.inclined_axis_moment.output.json",
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        "expert_reviewed": false,
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        "review_kind": null,
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        "version_lock_supported": true,
        "expert_review_status": "optional_not_performed",
        "internal_review_status": "not_applicable"
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    {
      "name": "incline-friction",
      "engine": "incline-friction",
      "description": "W; theta_deg; mu; direction up|down. P is parallel to the plane",
      "page": "https://www.calculatorx.com/calc/mechanical/incline-friction",
      "endpoint": "https://www.calculatorx.com/api/v1/calc/incline-friction",
      "capability_id": "mechanical.statics.incline_friction",
      "calculation_version": "1.0.0",
      "tier": "engine_tested",
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      "description": "V; b; h. Neutral axis of one solid rectangle",
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      "endpoint": "https://www.calculatorx.com/api/v1/calc/rectangular-shear",
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        "internal_review_status": "not_applicable"
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      "description": "V; r. Neutral axis of one solid circle",
      "page": "https://www.calculatorx.com/calc/mechanical/circular-shear",
      "endpoint": "https://www.calculatorx.com/api/v1/calc/circular-shear",
      "capability_id": "mechanical.statics.circular_shear",
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      "tier": "engine_tested",
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      "description": "V; R; r. Neutral axis of one hollow circle. R outer, r inner",
      "page": "https://www.calculatorx.com/calc/mechanical/hollow-circular-shear",
      "endpoint": "https://www.calculatorx.com/api/v1/calc/hollow-circular-shear",
      "capability_id": "mechanical.statics.hollow_circular_shear",
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      "tier": "engine_tested",
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        "expert_review_status": "optional_not_performed",
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    {
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      "engine": "beam-deflection",
      "description": "P; L; E; I. Simply supported span, concentrated load at midspan. I is an input",
      "page": "https://www.calculatorx.com/calc/mechanical/beam-deflection",
      "endpoint": "https://www.calculatorx.com/api/v1/calc/beam-deflection",
      "capability_id": "mechanical.statics.beam_deflection",
      "calculation_version": "1.0.0",
      "tier": "engine_tested",
      "input_schema": "https://www.calculatorx.com/schemas/mechanical.statics.beam_deflection.input.json",
      "output_schema": "https://www.calculatorx.com/schemas/mechanical.statics.beam_deflection.output.json",
      "evidence": "https://www.calculatorx.com/evidence/mechanical.statics.beam_deflection/1.0.0.json",
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        "expert_review_status": "optional_not_performed",
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    },
    {
      "name": "cantilever-deflection",
      "engine": "cantilever-deflection",
      "description": "P; L; E; I. Cantilever, concentrated load at the free end. I is an input",
      "page": "https://www.calculatorx.com/calc/mechanical/cantilever-deflection",
      "endpoint": "https://www.calculatorx.com/api/v1/calc/cantilever-deflection",
      "capability_id": "mechanical.statics.cantilever_deflection",
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      "tier": "engine_tested",
      "input_schema": "https://www.calculatorx.com/schemas/mechanical.statics.cantilever_deflection.input.json",
      "output_schema": "https://www.calculatorx.com/schemas/mechanical.statics.cantilever_deflection.output.json",
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        "engine_tested": true,
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        "version_lock_supported": true,
        "expert_review_status": "optional_not_performed",
        "internal_review_status": "not_applicable"
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    },
    {
      "name": "uniform-load-deflection",
      "engine": "uniform-load-deflection",
      "description": "w; L; E; I. Simply supported span, uniform load over the whole span. I is an input",
      "page": "https://www.calculatorx.com/calc/mechanical/uniform-load-deflection",
      "endpoint": "https://www.calculatorx.com/api/v1/calc/uniform-load-deflection",
      "capability_id": "mechanical.statics.uniform_load_deflection",
      "calculation_version": "1.0.0",
      "tier": "engine_tested",
      "input_schema": "https://www.calculatorx.com/schemas/mechanical.statics.uniform_load_deflection.input.json",
      "output_schema": "https://www.calculatorx.com/schemas/mechanical.statics.uniform_load_deflection.output.json",
      "evidence": "https://www.calculatorx.com/evidence/mechanical.statics.uniform_load_deflection/1.0.0.json",
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        "engine_tested": true,
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        "version_lock_supported": true,
        "expert_review_status": "optional_not_performed",
        "internal_review_status": "not_applicable"
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    },
    {
      "name": "cantilever-uniform-deflection",
      "engine": "cantilever-uniform-deflection",
      "description": "w; L; E; I. Cantilever, uniform load over the whole length. I is an input",
      "page": "https://www.calculatorx.com/calc/mechanical/cantilever-uniform-deflection",
      "endpoint": "https://www.calculatorx.com/api/v1/calc/cantilever-uniform-deflection",
      "capability_id": "mechanical.statics.cantilever_uniform_deflection",
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      "tier": "engine_tested",
      "input_schema": "https://www.calculatorx.com/schemas/mechanical.statics.cantilever_uniform_deflection.input.json",
      "output_schema": "https://www.calculatorx.com/schemas/mechanical.statics.cantilever_uniform_deflection.output.json",
      "evidence": "https://www.calculatorx.com/evidence/mechanical.statics.cantilever_uniform_deflection/1.0.0.json",
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        "engine_tested": true,
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    {
      "name": "cantilever-moment-deflection",
      "engine": "cantilever-moment-deflection",
      "description": "M; L; E; I. Cantilever, concentrated moment at the free end. I is an input",
      "page": "https://www.calculatorx.com/calc/mechanical/cantilever-moment-deflection",
      "endpoint": "https://www.calculatorx.com/api/v1/calc/cantilever-moment-deflection",
      "capability_id": "mechanical.statics.cantilever_moment_deflection",
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      "output_schema": "https://www.calculatorx.com/schemas/mechanical.statics.cantilever_moment_deflection.output.json",
      "evidence": "https://www.calculatorx.com/evidence/mechanical.statics.cantilever_moment_deflection/1.0.0.json",
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        "version_lock_supported": true,
        "expert_review_status": "optional_not_performed",
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    {
      "name": "beam-moment-deflection",
      "engine": "beam-moment-deflection",
      "description": "M; L; E; I. Simply supported span, concentrated moment at one end. I is an input",
      "page": "https://www.calculatorx.com/calc/mechanical/beam-moment-deflection",
      "endpoint": "https://www.calculatorx.com/api/v1/calc/beam-moment-deflection",
      "capability_id": "mechanical.statics.beam_moment_deflection",
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      "tier": "engine_tested",
      "input_schema": "https://www.calculatorx.com/schemas/mechanical.statics.beam_moment_deflection.input.json",
      "output_schema": "https://www.calculatorx.com/schemas/mechanical.statics.beam_moment_deflection.output.json",
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    },
    {
      "name": "beam-moment-maximum",
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      "description": "M; L; E; I. Simply supported span, concentrated moment at one end. Largest deflection. I is an input",
      "page": "https://www.calculatorx.com/calc/mechanical/beam-moment-maximum",
      "endpoint": "https://www.calculatorx.com/api/v1/calc/beam-moment-maximum",
      "capability_id": "mechanical.statics.beam_moment_max_deflection",
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      "tier": "engine_tested",
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      "output_schema": "https://www.calculatorx.com/schemas/mechanical.statics.beam_moment_max_deflection.output.json",
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    },
    {
      "name": "offset-load-deflection",
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      "description": "P; a; L; E; I. Simply supported span, concentrated load at distance a from the left support. Deflection under the load. I is an input",
      "page": "https://www.calculatorx.com/calc/mechanical/offset-load-deflection",
      "endpoint": "https://www.calculatorx.com/api/v1/calc/offset-load-deflection",
      "capability_id": "mechanical.statics.offset_load_deflection",
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    },
    {
      "name": "offset-load-maximum",
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      "page": "https://www.calculatorx.com/calc/mechanical/offset-load-maximum",
      "endpoint": "https://www.calculatorx.com/api/v1/calc/offset-load-maximum",
      "capability_id": "mechanical.statics.offset_load_max_deflection",
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      "tier": "engine_tested",
      "input_schema": "https://www.calculatorx.com/schemas/mechanical.statics.offset_load_max_deflection.input.json",
      "output_schema": "https://www.calculatorx.com/schemas/mechanical.statics.offset_load_max_deflection.output.json",
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    },
    {
      "name": "cantilever-intermediate-deflection",
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      "page": "https://www.calculatorx.com/calc/mechanical/cantilever-intermediate-deflection",
      "endpoint": "https://www.calculatorx.com/api/v1/calc/cantilever-intermediate-deflection",
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      "output_schema": "https://www.calculatorx.com/schemas/mechanical.statics.cantilever_intermediate_deflection.output.json",
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        "version_lock_supported": true,
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    },
    {
      "name": "cantilever-tip-deflection",
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      "page": "https://www.calculatorx.com/calc/mechanical/cantilever-tip-deflection",
      "endpoint": "https://www.calculatorx.com/api/v1/calc/cantilever-tip-deflection",
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      "output_schema": "https://www.calculatorx.com/schemas/mechanical.statics.cantilever_tip_deflection.output.json",
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    },
    {
      "name": "beam-end-moments",
      "engine": "beam-end-moments",
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      "page": "https://www.calculatorx.com/calc/mechanical/beam-end-moments",
      "endpoint": "https://www.calculatorx.com/api/v1/calc/beam-end-moments",
      "capability_id": "mechanical.statics.beam_end_moments_deflection",
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      "output_schema": "https://www.calculatorx.com/schemas/mechanical.statics.beam_end_moments_deflection.output.json",
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    },
    {
      "name": "triangular-load-deflection",
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      "page": "https://www.calculatorx.com/calc/mechanical/triangular-load-deflection",
      "endpoint": "https://www.calculatorx.com/api/v1/calc/triangular-load-deflection",
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    {
      "name": "triangular-load-maximum",
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      "page": "https://www.calculatorx.com/calc/mechanical/triangular-load-maximum",
      "endpoint": "https://www.calculatorx.com/api/v1/calc/triangular-load-maximum",
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    },
    {
      "name": "cantilever-triangular-deflection",
      "engine": "cantilever-triangular-deflection",
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      "page": "https://www.calculatorx.com/calc/mechanical/cantilever-triangular-deflection",
      "endpoint": "https://www.calculatorx.com/api/v1/calc/cantilever-triangular-deflection",
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      "description": "w0; L; E; I. Cantilever, intensity 0 at the fixed end and w0 at the free end. Tip deflection. I is an input",
      "page": "https://www.calculatorx.com/calc/mechanical/cantilever-triangular-tip",
      "endpoint": "https://www.calculatorx.com/api/v1/calc/cantilever-triangular-tip",
      "capability_id": "mechanical.statics.cantilever_triangular_tip_deflection",
      "calculation_version": "1.0.0",
      "tier": "engine_tested",
      "input_schema": "https://www.calculatorx.com/schemas/mechanical.statics.cantilever_triangular_tip_deflection.input.json",
      "output_schema": "https://www.calculatorx.com/schemas/mechanical.statics.cantilever_triangular_tip_deflection.output.json",
      "evidence": "https://www.calculatorx.com/evidence/mechanical.statics.cantilever_triangular_tip_deflection/1.0.0.json",
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        "version_lock_supported": true,
        "expert_review_status": "optional_not_performed",
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    },
    {
      "name": "center-triangle-deflection",
      "engine": "center-triangle-deflection",
      "description": "w0; L; E; I. Simply supported span, intensity 0 at both supports and w0 at midspan. Midspan deflection. I is an input",
      "page": "https://www.calculatorx.com/calc/mechanical/center-triangle-deflection",
      "endpoint": "https://www.calculatorx.com/api/v1/calc/center-triangle-deflection",
      "capability_id": "mechanical.statics.center_triangle_deflection",
      "calculation_version": "1.0.0",
      "tier": "engine_tested",
      "input_schema": "https://www.calculatorx.com/schemas/mechanical.statics.center_triangle_deflection.input.json",
      "output_schema": "https://www.calculatorx.com/schemas/mechanical.statics.center_triangle_deflection.output.json",
      "evidence": "https://www.calculatorx.com/evidence/mechanical.statics.center_triangle_deflection/1.0.0.json",
      "trust": {
        "engine_tested": true,
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        "version_lock_supported": true,
        "expert_review_status": "optional_not_performed",
        "internal_review_status": "not_applicable"
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    },
    {
      "name": "end-triangle-deflection",
      "engine": "end-triangle-deflection",
      "description": "w0; L; E; I. Simply supported span, intensity w0 at both supports and 0 at midspan. Midspan deflection. I is an input",
      "page": "https://www.calculatorx.com/calc/mechanical/end-triangle-deflection",
      "endpoint": "https://www.calculatorx.com/api/v1/calc/end-triangle-deflection",
      "capability_id": "mechanical.statics.end_triangle_deflection",
      "calculation_version": "1.0.0",
      "tier": "engine_tested",
      "input_schema": "https://www.calculatorx.com/schemas/mechanical.statics.end_triangle_deflection.input.json",
      "output_schema": "https://www.calculatorx.com/schemas/mechanical.statics.end_triangle_deflection.output.json",
      "evidence": "https://www.calculatorx.com/evidence/mechanical.statics.end_triangle_deflection/1.0.0.json",
      "trust": {
        "engine_tested": true,
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        "review_kind": null,
        "source_checked": true,
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        "reviewer_role": null,
        "last_reviewed": null,
        "version_lock_supported": true,
        "expert_review_status": "optional_not_performed",
        "internal_review_status": "not_applicable"
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    },
    {
      "name": "cantilever-moment-at",
      "engine": "cantilever-moment-at",
      "description": "M; a; L; E; I. Cantilever, moment at distance a from the fixed end. Deflection at the moment. I is an input",
      "page": "https://www.calculatorx.com/calc/mechanical/cantilever-moment-at",
      "endpoint": "https://www.calculatorx.com/api/v1/calc/cantilever-moment-at",
      "capability_id": "mechanical.statics.cantilever_moment_at_deflection",
      "calculation_version": "1.0.0",
      "tier": "engine_tested",
      "input_schema": "https://www.calculatorx.com/schemas/mechanical.statics.cantilever_moment_at_deflection.input.json",
      "output_schema": "https://www.calculatorx.com/schemas/mechanical.statics.cantilever_moment_at_deflection.output.json",
      "evidence": "https://www.calculatorx.com/evidence/mechanical.statics.cantilever_moment_at_deflection/1.0.0.json",
      "trust": {
        "engine_tested": true,
        "expert_reviewed": false,
        "internally_reviewed": false,
        "review_kind": null,
        "source_checked": true,
        "reviewed_by": null,
        "reviewer_role": null,
        "last_reviewed": null,
        "version_lock_supported": true,
        "expert_review_status": "optional_not_performed",
        "internal_review_status": "not_applicable"
      }
    },
    {
      "name": "paired-load-deflection",
      "engine": "paired-load-deflection",
      "description": "P; a; L; E; I. Simply supported span, two equal loads each at distance a from the nearer support. Midspan deflection. I is an input",
      "page": "https://www.calculatorx.com/calc/mechanical/paired-load-deflection",
      "endpoint": "https://www.calculatorx.com/api/v1/calc/paired-load-deflection",
      "capability_id": "mechanical.statics.paired_load_deflection",
      "calculation_version": "1.0.0",
      "tier": "engine_tested",
      "input_schema": "https://www.calculatorx.com/schemas/mechanical.statics.paired_load_deflection.input.json",
      "output_schema": "https://www.calculatorx.com/schemas/mechanical.statics.paired_load_deflection.output.json",
      "evidence": "https://www.calculatorx.com/evidence/mechanical.statics.paired_load_deflection/1.0.0.json",
      "trust": {
        "engine_tested": true,
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        "internally_reviewed": false,
        "review_kind": null,
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        "reviewer_role": null,
        "last_reviewed": null,
        "version_lock_supported": true,
        "expert_review_status": "optional_not_performed",
        "internal_review_status": "not_applicable"
      }
    },
    {
      "name": "cantilever-partial-deflection",
      "engine": "cantilever-partial-deflection",
      "description": "w; a; L; E; I. Cantilever, uniform load from the fixed end to a. Deflection at a. I is an input",
      "page": "https://www.calculatorx.com/calc/mechanical/cantilever-partial-deflection",
      "endpoint": "https://www.calculatorx.com/api/v1/calc/cantilever-partial-deflection",
      "capability_id": "mechanical.statics.cantilever_partial_deflection",
      "calculation_version": "1.0.0",
      "tier": "engine_tested",
      "input_schema": "https://www.calculatorx.com/schemas/mechanical.statics.cantilever_partial_deflection.input.json",
      "output_schema": "https://www.calculatorx.com/schemas/mechanical.statics.cantilever_partial_deflection.output.json",
      "evidence": "https://www.calculatorx.com/evidence/mechanical.statics.cantilever_partial_deflection/1.0.0.json",
      "trust": {
        "engine_tested": true,
        "expert_reviewed": false,
        "internally_reviewed": false,
        "review_kind": null,
        "source_checked": true,
        "reviewed_by": null,
        "reviewer_role": null,
        "last_reviewed": null,
        "version_lock_supported": true,
        "expert_review_status": "optional_not_performed",
        "internal_review_status": "not_applicable"
      }
    },
    {
      "name": "cantilever-outer-uniform",
      "engine": "cantilever-outer-uniform",
      "description": "w; a; L; E; I. Cantilever, uniform load from a to the free end. Tip deflection. I is an input",
      "page": "https://www.calculatorx.com/calc/mechanical/cantilever-outer-uniform",
      "endpoint": "https://www.calculatorx.com/api/v1/calc/cantilever-outer-uniform",
      "capability_id": "mechanical.statics.cantilever_outer_uniform_deflection",
      "calculation_version": "1.0.0",
      "tier": "engine_tested",
      "input_schema": "https://www.calculatorx.com/schemas/mechanical.statics.cantilever_outer_uniform_deflection.input.json",
      "output_schema": "https://www.calculatorx.com/schemas/mechanical.statics.cantilever_outer_uniform_deflection.output.json",
      "evidence": "https://www.calculatorx.com/evidence/mechanical.statics.cantilever_outer_uniform_deflection/1.0.0.json",
      "trust": {
        "engine_tested": true,
        "expert_reviewed": false,
        "internally_reviewed": false,
        "review_kind": null,
        "source_checked": true,
        "reviewed_by": null,
        "reviewer_role": null,
        "last_reviewed": null,
        "version_lock_supported": true,
        "expert_review_status": "optional_not_performed",
        "internal_review_status": "not_applicable"
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    },
    {
      "name": "offset-load-midspan",
      "engine": "offset-load-midspan",
      "description": "P; a; L; E; I. Simply supported span, one load at distance a. Midspan deflection. I is an input",
      "page": "https://www.calculatorx.com/calc/mechanical/offset-load-midspan",
      "endpoint": "https://www.calculatorx.com/api/v1/calc/offset-load-midspan",
      "capability_id": "mechanical.statics.offset_load_midspan_deflection",
      "calculation_version": "1.0.0",
      "tier": "engine_tested",
      "input_schema": "https://www.calculatorx.com/schemas/mechanical.statics.offset_load_midspan_deflection.input.json",
      "output_schema": "https://www.calculatorx.com/schemas/mechanical.statics.offset_load_midspan_deflection.output.json",
      "evidence": "https://www.calculatorx.com/evidence/mechanical.statics.offset_load_midspan_deflection/1.0.0.json",
      "trust": {
        "engine_tested": true,
        "expert_reviewed": false,
        "internally_reviewed": false,
        "review_kind": null,
        "source_checked": true,
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        "reviewer_role": null,
        "last_reviewed": null,
        "version_lock_supported": true,
        "expert_review_status": "optional_not_performed",
        "internal_review_status": "not_applicable"
      }
    },
    {
      "name": "paired-load-at",
      "engine": "paired-load-at",
      "description": "P; a; L; E; I. Simply supported span, two equal loads. Deflection under either load. I is an input",
      "page": "https://www.calculatorx.com/calc/mechanical/paired-load-at",
      "endpoint": "https://www.calculatorx.com/api/v1/calc/paired-load-at",
      "capability_id": "mechanical.statics.paired_load_at_deflection",
      "calculation_version": "1.0.0",
      "tier": "engine_tested",
      "input_schema": "https://www.calculatorx.com/schemas/mechanical.statics.paired_load_at_deflection.input.json",
      "output_schema": "https://www.calculatorx.com/schemas/mechanical.statics.paired_load_at_deflection.output.json",
      "evidence": "https://www.calculatorx.com/evidence/mechanical.statics.paired_load_at_deflection/1.0.0.json",
      "trust": {
        "engine_tested": true,
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        "internally_reviewed": false,
        "review_kind": null,
        "source_checked": true,
        "reviewed_by": null,
        "reviewer_role": null,
        "last_reviewed": null,
        "version_lock_supported": true,
        "expert_review_status": "optional_not_performed",
        "internal_review_status": "not_applicable"
      }
    },
    {
      "name": "overhang-deflection",
      "engine": "overhang-deflection",
      "description": "P; a; L; E; I. Span L with overhang a and a load at the overhang end. Deflection at the load. I is an input",
      "page": "https://www.calculatorx.com/calc/mechanical/overhang-deflection",
      "endpoint": "https://www.calculatorx.com/api/v1/calc/overhang-deflection",
      "capability_id": "mechanical.statics.overhang_deflection",
      "calculation_version": "1.0.0",
      "tier": "engine_tested",
      "input_schema": "https://www.calculatorx.com/schemas/mechanical.statics.overhang_deflection.input.json",
      "output_schema": "https://www.calculatorx.com/schemas/mechanical.statics.overhang_deflection.output.json",
      "evidence": "https://www.calculatorx.com/evidence/mechanical.statics.overhang_deflection/1.0.0.json",
      "trust": {
        "engine_tested": true,
        "expert_reviewed": false,
        "internally_reviewed": false,
        "review_kind": null,
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        "reviewer_role": null,
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        "version_lock_supported": true,
        "expert_review_status": "optional_not_performed",
        "internal_review_status": "not_applicable"
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    },
    {
      "name": "overhang-span-deflection",
      "engine": "overhang-span-deflection",
      "description": "P; a; L; E; I. Span L with overhang a and a load at the overhang end. Midspan of the span. I is an input",
      "page": "https://www.calculatorx.com/calc/mechanical/overhang-span-deflection",
      "endpoint": "https://www.calculatorx.com/api/v1/calc/overhang-span-deflection",
      "capability_id": "mechanical.statics.overhang_span_deflection",
      "calculation_version": "1.0.0",
      "tier": "engine_tested",
      "input_schema": "https://www.calculatorx.com/schemas/mechanical.statics.overhang_span_deflection.input.json",
      "output_schema": "https://www.calculatorx.com/schemas/mechanical.statics.overhang_span_deflection.output.json",
      "evidence": "https://www.calculatorx.com/evidence/mechanical.statics.overhang_span_deflection/1.0.0.json",
      "trust": {
        "engine_tested": true,
        "expert_reviewed": false,
        "internally_reviewed": false,
        "review_kind": null,
        "source_checked": true,
        "reviewed_by": null,
        "reviewer_role": null,
        "last_reviewed": null,
        "version_lock_supported": true,
        "expert_review_status": "optional_not_performed",
        "internal_review_status": "not_applicable"
      }
    },
    {
      "name": "uniform-load-at",
      "engine": "uniform-load-at",
      "description": "w; x; L; E; I. Simply supported uniform load. Deflection at station x. I is an input",
      "page": "https://www.calculatorx.com/calc/mechanical/uniform-load-at",
      "endpoint": "https://www.calculatorx.com/api/v1/calc/uniform-load-at",
      "capability_id": "mechanical.statics.uniform_load_at_deflection",
      "calculation_version": "1.0.0",
      "tier": "engine_tested",
      "input_schema": "https://www.calculatorx.com/schemas/mechanical.statics.uniform_load_at_deflection.input.json",
      "output_schema": "https://www.calculatorx.com/schemas/mechanical.statics.uniform_load_at_deflection.output.json",
      "evidence": "https://www.calculatorx.com/evidence/mechanical.statics.uniform_load_at_deflection/1.0.0.json",
      "trust": {
        "engine_tested": true,
        "expert_reviewed": false,
        "internally_reviewed": false,
        "review_kind": null,
        "source_checked": true,
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        "reviewer_role": null,
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        "version_lock_supported": true,
        "expert_review_status": "optional_not_performed",
        "internal_review_status": "not_applicable"
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    },
    {
      "name": "cantilever-uniform-at",
      "engine": "cantilever-uniform-at",
      "description": "w; x; L; E; I. Cantilever uniform load. Deflection at distance x from the wall. I is an input",
      "page": "https://www.calculatorx.com/calc/mechanical/cantilever-uniform-at",
      "endpoint": "https://www.calculatorx.com/api/v1/calc/cantilever-uniform-at",
      "capability_id": "mechanical.statics.cantilever_uniform_at_deflection",
      "calculation_version": "1.0.0",
      "tier": "engine_tested",
      "input_schema": "https://www.calculatorx.com/schemas/mechanical.statics.cantilever_uniform_at_deflection.input.json",
      "output_schema": "https://www.calculatorx.com/schemas/mechanical.statics.cantilever_uniform_at_deflection.output.json",
      "evidence": "https://www.calculatorx.com/evidence/mechanical.statics.cantilever_uniform_at_deflection/1.0.0.json",
      "trust": {
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        "expert_reviewed": false,
        "internally_reviewed": false,
        "review_kind": null,
        "source_checked": true,
        "reviewed_by": null,
        "reviewer_role": null,
        "last_reviewed": null,
        "version_lock_supported": true,
        "expert_review_status": "optional_not_performed",
        "internal_review_status": "not_applicable"
      }
    },
    {
      "name": "beam-deflection-at",
      "engine": "beam-deflection-at",
      "description": "P; x; L; E; I. Simply supported midspan load. Deflection at station x. I is an input",
      "page": "https://www.calculatorx.com/calc/mechanical/beam-deflection-at",
      "endpoint": "https://www.calculatorx.com/api/v1/calc/beam-deflection-at",
      "capability_id": "mechanical.statics.beam_deflection_at",
      "calculation_version": "1.0.0",
      "tier": "engine_tested",
      "input_schema": "https://www.calculatorx.com/schemas/mechanical.statics.beam_deflection_at.input.json",
      "output_schema": "https://www.calculatorx.com/schemas/mechanical.statics.beam_deflection_at.output.json",
      "evidence": "https://www.calculatorx.com/evidence/mechanical.statics.beam_deflection_at/1.0.0.json",
      "trust": {
        "engine_tested": true,
        "expert_reviewed": false,
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        "review_kind": null,
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        "version_lock_supported": true,
        "expert_review_status": "optional_not_performed",
        "internal_review_status": "not_applicable"
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    },
    {
      "name": "cantilever-deflection-at",
      "engine": "cantilever-deflection-at",
      "description": "P; x; L; E; I. Cantilever tip load. Deflection at distance x from the wall. I is an input",
      "page": "https://www.calculatorx.com/calc/mechanical/cantilever-deflection-at",
      "endpoint": "https://www.calculatorx.com/api/v1/calc/cantilever-deflection-at",
      "capability_id": "mechanical.statics.cantilever_deflection_at",
      "calculation_version": "1.0.0",
      "tier": "engine_tested",
      "input_schema": "https://www.calculatorx.com/schemas/mechanical.statics.cantilever_deflection_at.input.json",
      "output_schema": "https://www.calculatorx.com/schemas/mechanical.statics.cantilever_deflection_at.output.json",
      "evidence": "https://www.calculatorx.com/evidence/mechanical.statics.cantilever_deflection_at/1.0.0.json",
      "trust": {
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        "version_lock_supported": true,
        "expert_review_status": "optional_not_performed",
        "internal_review_status": "not_applicable"
      }
    },
    {
      "name": "offset-load-at",
      "engine": "offset-load-at",
      "description": "P; a; x; L; E; I. Simply supported offset load. Deflection at station x. I is an input",
      "page": "https://www.calculatorx.com/calc/mechanical/offset-load-at",
      "endpoint": "https://www.calculatorx.com/api/v1/calc/offset-load-at",
      "capability_id": "mechanical.statics.offset_load_at_deflection",
      "calculation_version": "1.0.0",
      "tier": "engine_tested",
      "input_schema": "https://www.calculatorx.com/schemas/mechanical.statics.offset_load_at_deflection.input.json",
      "output_schema": "https://www.calculatorx.com/schemas/mechanical.statics.offset_load_at_deflection.output.json",
      "evidence": "https://www.calculatorx.com/evidence/mechanical.statics.offset_load_at_deflection/1.0.0.json",
      "trust": {
        "engine_tested": true,
        "expert_reviewed": false,
        "internally_reviewed": false,
        "review_kind": null,
        "source_checked": true,
        "reviewed_by": null,
        "reviewer_role": null,
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        "version_lock_supported": true,
        "expert_review_status": "optional_not_performed",
        "internal_review_status": "not_applicable"
      }
    },
    {
      "name": "cantilever-load-at",
      "engine": "cantilever-load-at",
      "description": "P; a; x; L; E; I. Cantilever load at a. Deflection at station x. I is an input",
      "page": "https://www.calculatorx.com/calc/mechanical/cantilever-load-at",
      "endpoint": "https://www.calculatorx.com/api/v1/calc/cantilever-load-at",
      "capability_id": "mechanical.statics.cantilever_load_at_deflection",
      "calculation_version": "1.0.0",
      "tier": "engine_tested",
      "input_schema": "https://www.calculatorx.com/schemas/mechanical.statics.cantilever_load_at_deflection.input.json",
      "output_schema": "https://www.calculatorx.com/schemas/mechanical.statics.cantilever_load_at_deflection.output.json",
      "evidence": "https://www.calculatorx.com/evidence/mechanical.statics.cantilever_load_at_deflection/1.0.0.json",
      "trust": {
        "engine_tested": true,
        "expert_reviewed": false,
        "internally_reviewed": false,
        "review_kind": null,
        "source_checked": true,
        "reviewed_by": null,
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        "last_reviewed": null,
        "version_lock_supported": true,
        "expert_review_status": "optional_not_performed",
        "internal_review_status": "not_applicable"
      }
    },
    {
      "name": "beam-moment-at",
      "engine": "beam-moment-at",
      "description": "M; x; L; E; I. Simply supported end moment. Deflection at station x from the unloaded end. I is an input",
      "page": "https://www.calculatorx.com/calc/mechanical/beam-moment-at",
      "endpoint": "https://www.calculatorx.com/api/v1/calc/beam-moment-at",
      "capability_id": "mechanical.statics.beam_moment_at_deflection",
      "calculation_version": "1.0.0",
      "tier": "engine_tested",
      "input_schema": "https://www.calculatorx.com/schemas/mechanical.statics.beam_moment_at_deflection.input.json",
      "output_schema": "https://www.calculatorx.com/schemas/mechanical.statics.beam_moment_at_deflection.output.json",
      "evidence": "https://www.calculatorx.com/evidence/mechanical.statics.beam_moment_at_deflection/1.0.0.json",
      "trust": {
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        "expert_reviewed": false,
        "internally_reviewed": false,
        "review_kind": null,
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        "last_reviewed": null,
        "version_lock_supported": true,
        "expert_review_status": "optional_not_performed",
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    },
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      "name": "cantilever-moment-curve",
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      "page": "https://www.calculatorx.com/calc/mechanical/cantilever-moment-curve",
      "endpoint": "https://www.calculatorx.com/api/v1/calc/cantilever-moment-curve",
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      "tier": "engine_tested",
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      "output_schema": "https://www.calculatorx.com/schemas/mechanical.statics.cantilever_moment_curve_deflection.output.json",
      "evidence": "https://www.calculatorx.com/evidence/mechanical.statics.cantilever_moment_curve_deflection/1.0.0.json",
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      "name": "triangular-load-at",
      "engine": "triangular-load-at",
      "description": "w0; x; L; E; I. Simply supported one-sided triangle. Deflection at station x from the zero end. I is an input",
      "page": "https://www.calculatorx.com/calc/mechanical/triangular-load-at",
      "endpoint": "https://www.calculatorx.com/api/v1/calc/triangular-load-at",
      "capability_id": "mechanical.statics.triangular_load_at_deflection",
      "calculation_version": "1.0.0",
      "tier": "engine_tested",
      "input_schema": "https://www.calculatorx.com/schemas/mechanical.statics.triangular_load_at_deflection.input.json",
      "output_schema": "https://www.calculatorx.com/schemas/mechanical.statics.triangular_load_at_deflection.output.json",
      "evidence": "https://www.calculatorx.com/evidence/mechanical.statics.triangular_load_at_deflection/1.0.0.json",
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        "expert_review_status": "optional_not_performed",
        "internal_review_status": "not_applicable"
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    {
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      "description": "w0; x; L; E; I. Cantilever triangle peaking at the wall. Deflection at x. I is an input",
      "page": "https://www.calculatorx.com/calc/mechanical/cantilever-triangular-at",
      "endpoint": "https://www.calculatorx.com/api/v1/calc/cantilever-triangular-at",
      "capability_id": "mechanical.statics.cantilever_triangular_at_deflection",
      "calculation_version": "1.0.0",
      "tier": "engine_tested",
      "input_schema": "https://www.calculatorx.com/schemas/mechanical.statics.cantilever_triangular_at_deflection.input.json",
      "output_schema": "https://www.calculatorx.com/schemas/mechanical.statics.cantilever_triangular_at_deflection.output.json",
      "evidence": "https://www.calculatorx.com/evidence/mechanical.statics.cantilever_triangular_at_deflection/1.0.0.json",
      "trust": {
        "engine_tested": true,
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        "version_lock_supported": true,
        "expert_review_status": "optional_not_performed",
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    {
      "name": "cantilever-triangular-tip-at",
      "engine": "cantilever-triangular-tip-at",
      "description": "w0; x; L; E; I. Cantilever triangle peaking at the tip. Deflection at x. I is an input",
      "page": "https://www.calculatorx.com/calc/mechanical/cantilever-triangular-tip-at",
      "endpoint": "https://www.calculatorx.com/api/v1/calc/cantilever-triangular-tip-at",
      "capability_id": "mechanical.statics.cantilever_triangular_tip_at_deflection",
      "calculation_version": "1.0.0",
      "tier": "engine_tested",
      "input_schema": "https://www.calculatorx.com/schemas/mechanical.statics.cantilever_triangular_tip_at_deflection.input.json",
      "output_schema": "https://www.calculatorx.com/schemas/mechanical.statics.cantilever_triangular_tip_at_deflection.output.json",
      "evidence": "https://www.calculatorx.com/evidence/mechanical.statics.cantilever_triangular_tip_at_deflection/1.0.0.json",
      "trust": {
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        "last_reviewed": null,
        "version_lock_supported": true,
        "expert_review_status": "optional_not_performed",
        "internal_review_status": "not_applicable"
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    },
    {
      "name": "overhang-span-at",
      "engine": "overhang-span-at",
      "description": "P; a; x; L; E; I. Overhang load. Deflection at station x on the span. I is an input",
      "page": "https://www.calculatorx.com/calc/mechanical/overhang-span-at",
      "endpoint": "https://www.calculatorx.com/api/v1/calc/overhang-span-at",
      "capability_id": "mechanical.statics.overhang_span_at_deflection",
      "calculation_version": "1.0.0",
      "tier": "engine_tested",
      "input_schema": "https://www.calculatorx.com/schemas/mechanical.statics.overhang_span_at_deflection.input.json",
      "output_schema": "https://www.calculatorx.com/schemas/mechanical.statics.overhang_span_at_deflection.output.json",
      "evidence": "https://www.calculatorx.com/evidence/mechanical.statics.overhang_span_at_deflection/1.0.0.json",
      "trust": {
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        "expert_reviewed": false,
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        "version_lock_supported": true,
        "expert_review_status": "optional_not_performed",
        "internal_review_status": "not_applicable"
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    },
    {
      "name": "overhang-arm-at",
      "engine": "overhang-arm-at",
      "description": "P; a; z; L; E; I. Overhang load. Deflection at station z on the overhang. I is an input",
      "page": "https://www.calculatorx.com/calc/mechanical/overhang-arm-at",
      "endpoint": "https://www.calculatorx.com/api/v1/calc/overhang-arm-at",
      "capability_id": "mechanical.statics.overhang_arm_at_deflection",
      "calculation_version": "1.0.0",
      "tier": "engine_tested",
      "input_schema": "https://www.calculatorx.com/schemas/mechanical.statics.overhang_arm_at_deflection.input.json",
      "output_schema": "https://www.calculatorx.com/schemas/mechanical.statics.overhang_arm_at_deflection.output.json",
      "evidence": "https://www.calculatorx.com/evidence/mechanical.statics.overhang_arm_at_deflection/1.0.0.json",
      "trust": {
        "engine_tested": true,
        "expert_reviewed": false,
        "internally_reviewed": false,
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        "reviewer_role": null,
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        "version_lock_supported": true,
        "expert_review_status": "optional_not_performed",
        "internal_review_status": "not_applicable"
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    },
    {
      "name": "paired-load-curve",
      "engine": "paired-load-curve",
      "description": "P; a; x; L; E; I. Two equal loads. Deflection at station x. I is an input",
      "page": "https://www.calculatorx.com/calc/mechanical/paired-load-curve",
      "endpoint": "https://www.calculatorx.com/api/v1/calc/paired-load-curve",
      "capability_id": "mechanical.statics.paired_load_curve_deflection",
      "calculation_version": "1.0.0",
      "tier": "engine_tested",
      "input_schema": "https://www.calculatorx.com/schemas/mechanical.statics.paired_load_curve_deflection.input.json",
      "output_schema": "https://www.calculatorx.com/schemas/mechanical.statics.paired_load_curve_deflection.output.json",
      "evidence": "https://www.calculatorx.com/evidence/mechanical.statics.paired_load_curve_deflection/1.0.0.json",
      "trust": {
        "engine_tested": true,
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        "version_lock_supported": true,
        "expert_review_status": "optional_not_performed",
        "internal_review_status": "not_applicable"
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    },
    {
      "name": "beam-end-moments-at",
      "engine": "beam-end-moments-at",
      "description": "M; x; L; E; I. Equal sagging end moments. Deflection at station x. I is an input",
      "page": "https://www.calculatorx.com/calc/mechanical/beam-end-moments-at",
      "endpoint": "https://www.calculatorx.com/api/v1/calc/beam-end-moments-at",
      "capability_id": "mechanical.statics.beam_end_moments_at_deflection",
      "calculation_version": "1.0.0",
      "tier": "engine_tested",
      "input_schema": "https://www.calculatorx.com/schemas/mechanical.statics.beam_end_moments_at_deflection.input.json",
      "output_schema": "https://www.calculatorx.com/schemas/mechanical.statics.beam_end_moments_at_deflection.output.json",
      "evidence": "https://www.calculatorx.com/evidence/mechanical.statics.beam_end_moments_at_deflection/1.0.0.json",
      "trust": {
        "engine_tested": true,
        "expert_reviewed": false,
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        "reviewer_role": null,
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        "version_lock_supported": true,
        "expert_review_status": "optional_not_performed",
        "internal_review_status": "not_applicable"
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    },
    {
      "name": "center-triangle-at",
      "engine": "center-triangle-at",
      "description": "w0; x; L; E; I. Center-peaked triangle. Deflection at station x. I is an input",
      "page": "https://www.calculatorx.com/calc/mechanical/center-triangle-at",
      "endpoint": "https://www.calculatorx.com/api/v1/calc/center-triangle-at",
      "capability_id": "mechanical.statics.center_triangle_at_deflection",
      "calculation_version": "1.0.0",
      "tier": "engine_tested",
      "input_schema": "https://www.calculatorx.com/schemas/mechanical.statics.center_triangle_at_deflection.input.json",
      "output_schema": "https://www.calculatorx.com/schemas/mechanical.statics.center_triangle_at_deflection.output.json",
      "evidence": "https://www.calculatorx.com/evidence/mechanical.statics.center_triangle_at_deflection/1.0.0.json",
      "trust": {
        "engine_tested": true,
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        "internally_reviewed": false,
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        "reviewer_role": null,
        "last_reviewed": null,
        "version_lock_supported": true,
        "expert_review_status": "optional_not_performed",
        "internal_review_status": "not_applicable"
      }
    },
    {
      "name": "end-triangle-at",
      "engine": "end-triangle-at",
      "description": "w0; x; L; E; I. End-peaked triangle. Deflection at station x. I is an input",
      "page": "https://www.calculatorx.com/calc/mechanical/end-triangle-at",
      "endpoint": "https://www.calculatorx.com/api/v1/calc/end-triangle-at",
      "capability_id": "mechanical.statics.end_triangle_at_deflection",
      "calculation_version": "1.0.0",
      "tier": "engine_tested",
      "input_schema": "https://www.calculatorx.com/schemas/mechanical.statics.end_triangle_at_deflection.input.json",
      "output_schema": "https://www.calculatorx.com/schemas/mechanical.statics.end_triangle_at_deflection.output.json",
      "evidence": "https://www.calculatorx.com/evidence/mechanical.statics.end_triangle_at_deflection/1.0.0.json",
      "trust": {
        "engine_tested": true,
        "expert_reviewed": false,
        "internally_reviewed": false,
        "review_kind": null,
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        "reviewer_role": null,
        "last_reviewed": null,
        "version_lock_supported": true,
        "expert_review_status": "optional_not_performed",
        "internal_review_status": "not_applicable"
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    },
    {
      "name": "cantilever-partial-at",
      "engine": "cantilever-partial-at",
      "description": "w; a; x; L; E; I. Partial uniform from the wall. Deflection at x. I is an input",
      "page": "https://www.calculatorx.com/calc/mechanical/cantilever-partial-at",
      "endpoint": "https://www.calculatorx.com/api/v1/calc/cantilever-partial-at",
      "capability_id": "mechanical.statics.cantilever_partial_at_deflection",
      "calculation_version": "1.0.0",
      "tier": "engine_tested",
      "input_schema": "https://www.calculatorx.com/schemas/mechanical.statics.cantilever_partial_at_deflection.input.json",
      "output_schema": "https://www.calculatorx.com/schemas/mechanical.statics.cantilever_partial_at_deflection.output.json",
      "evidence": "https://www.calculatorx.com/evidence/mechanical.statics.cantilever_partial_at_deflection/1.0.0.json",
      "trust": {
        "engine_tested": true,
        "expert_reviewed": false,
        "internally_reviewed": false,
        "review_kind": null,
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        "reviewed_by": null,
        "reviewer_role": null,
        "last_reviewed": null,
        "version_lock_supported": true,
        "expert_review_status": "optional_not_performed",
        "internal_review_status": "not_applicable"
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    },
    {
      "name": "cantilever-outer-at",
      "engine": "cantilever-outer-at",
      "description": "w; a; x; L; E; I. Outer uniform to the tip. Deflection at x. I is an input",
      "page": "https://www.calculatorx.com/calc/mechanical/cantilever-outer-at",
      "endpoint": "https://www.calculatorx.com/api/v1/calc/cantilever-outer-at",
      "capability_id": "mechanical.statics.cantilever_outer_at_deflection",
      "calculation_version": "1.0.0",
      "tier": "engine_tested",
      "input_schema": "https://www.calculatorx.com/schemas/mechanical.statics.cantilever_outer_at_deflection.input.json",
      "output_schema": "https://www.calculatorx.com/schemas/mechanical.statics.cantilever_outer_at_deflection.output.json",
      "evidence": "https://www.calculatorx.com/evidence/mechanical.statics.cantilever_outer_at_deflection/1.0.0.json",
      "trust": {
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        "expert_reviewed": false,
        "internally_reviewed": false,
        "review_kind": null,
        "source_checked": true,
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        "reviewer_role": null,
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        "version_lock_supported": true,
        "expert_review_status": "optional_not_performed",
        "internal_review_status": "not_applicable"
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    },
    {
      "name": "center-moment-at",
      "engine": "center-moment-at",
      "description": "w0; M; x; L; E; I. Center-peaked triangle plus one end moment. Deflection at x. I is an input",
      "page": "https://www.calculatorx.com/calc/mechanical/center-moment-at",
      "endpoint": "https://www.calculatorx.com/api/v1/calc/center-moment-at",
      "capability_id": "mechanical.statics.center_moment_at_deflection",
      "calculation_version": "1.0.0",
      "tier": "engine_tested",
      "input_schema": "https://www.calculatorx.com/schemas/mechanical.statics.center_moment_at_deflection.input.json",
      "output_schema": "https://www.calculatorx.com/schemas/mechanical.statics.center_moment_at_deflection.output.json",
      "evidence": "https://www.calculatorx.com/evidence/mechanical.statics.center_moment_at_deflection/1.0.0.json",
      "trust": {
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        "internally_reviewed": false,
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        "version_lock_supported": true,
        "expert_review_status": "optional_not_performed",
        "internal_review_status": "not_applicable"
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    },
    {
      "name": "end-moment-at",
      "engine": "end-moment-at",
      "description": "w0; M; x; L; E; I. End-peaked triangle plus one end moment. Deflection at x. I is an input",
      "page": "https://www.calculatorx.com/calc/mechanical/end-moment-at",
      "endpoint": "https://www.calculatorx.com/api/v1/calc/end-moment-at",
      "capability_id": "mechanical.statics.end_moment_at_deflection",
      "calculation_version": "1.0.0",
      "tier": "engine_tested",
      "input_schema": "https://www.calculatorx.com/schemas/mechanical.statics.end_moment_at_deflection.input.json",
      "output_schema": "https://www.calculatorx.com/schemas/mechanical.statics.end_moment_at_deflection.output.json",
      "evidence": "https://www.calculatorx.com/evidence/mechanical.statics.end_moment_at_deflection/1.0.0.json",
      "trust": {
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    {
      "name": "paired-moment-at",
      "engine": "paired-moment-at",
      "description": "P; M; a; x; L; E; I. Two equal point loads plus one end moment. Deflection at x. I is an input",
      "page": "https://www.calculatorx.com/calc/mechanical/paired-moment-at",
      "endpoint": "https://www.calculatorx.com/api/v1/calc/paired-moment-at",
      "capability_id": "mechanical.statics.paired_moment_at_deflection",
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      "input_schema": "https://www.calculatorx.com/schemas/mechanical.statics.paired_moment_at_deflection.input.json",
      "output_schema": "https://www.calculatorx.com/schemas/mechanical.statics.paired_moment_at_deflection.output.json",
      "evidence": "https://www.calculatorx.com/evidence/mechanical.statics.paired_moment_at_deflection/1.0.0.json",
      "trust": {
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    {
      "name": "triangular-moment-at",
      "engine": "triangular-moment-at",
      "description": "w0; M; x; L; E; I. One-sided triangle plus one end moment. Deflection at x. I is an input",
      "page": "https://www.calculatorx.com/calc/mechanical/triangular-moment-at",
      "endpoint": "https://www.calculatorx.com/api/v1/calc/triangular-moment-at",
      "capability_id": "mechanical.statics.triangular_moment_at_deflection",
      "calculation_version": "1.0.0",
      "tier": "engine_tested",
      "input_schema": "https://www.calculatorx.com/schemas/mechanical.statics.triangular_moment_at_deflection.input.json",
      "output_schema": "https://www.calculatorx.com/schemas/mechanical.statics.triangular_moment_at_deflection.output.json",
      "evidence": "https://www.calculatorx.com/evidence/mechanical.statics.triangular_moment_at_deflection/1.0.0.json",
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      "name": "triangular-end-moments-at",
      "engine": "triangular-end-moments-at",
      "description": "w0; M; x; L; E; I. One-sided triangle plus equal end moments. Deflection at x. I is an input",
      "page": "https://www.calculatorx.com/calc/mechanical/triangular-end-moments-at",
      "endpoint": "https://www.calculatorx.com/api/v1/calc/triangular-end-moments-at",
      "capability_id": "mechanical.statics.triangular_end_moments_at_deflection",
      "calculation_version": "1.0.0",
      "tier": "engine_tested",
      "input_schema": "https://www.calculatorx.com/schemas/mechanical.statics.triangular_end_moments_at_deflection.input.json",
      "output_schema": "https://www.calculatorx.com/schemas/mechanical.statics.triangular_end_moments_at_deflection.output.json",
      "evidence": "https://www.calculatorx.com/evidence/mechanical.statics.triangular_end_moments_at_deflection/1.0.0.json",
      "trust": {
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    {
      "name": "thermal-resistance",
      "engine": "thermal-resistance",
      "description": "mode conduction|convection|series|parallel; k,A,L | h,A | R1,R2…; dT?",
      "page": "https://www.calculatorx.com/calc/physics/thermal-resistance",
      "endpoint": "https://www.calculatorx.com/api/v1/calc/thermal-resistance",
      "capability_id": "physics.thermo.thermal_resistance",
      "calculation_version": "1.0.0",
      "tier": "engine_tested",
      "input_schema": "https://www.calculatorx.com/schemas/physics.thermo.thermal_resistance.input.json",
      "output_schema": "https://www.calculatorx.com/schemas/physics.thermo.thermal_resistance.output.json",
      "evidence": "https://www.calculatorx.com/evidence/physics.thermo.thermal_resistance/1.0.0.json",
      "trust": {
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    },
    {
      "name": "composite-wall",
      "engine": "composite-wall",
      "description": "k1,L1,k2,L2… | layers[]; A; h_in?, h_out?; dT?",
      "page": "https://www.calculatorx.com/calc/physics/composite-wall",
      "endpoint": "https://www.calculatorx.com/api/v1/calc/composite-wall",
      "capability_id": "physics.thermo.composite_wall",
      "calculation_version": "1.0.0",
      "tier": "engine_tested",
      "input_schema": "https://www.calculatorx.com/schemas/physics.thermo.composite_wall.input.json",
      "output_schema": "https://www.calculatorx.com/schemas/physics.thermo.composite_wall.output.json",
      "evidence": "https://www.calculatorx.com/evidence/physics.thermo.composite_wall/1.0.0.json",
      "trust": {
        "engine_tested": true,
        "expert_reviewed": false,
        "internally_reviewed": false,
        "review_kind": null,
        "source_checked": true,
        "reviewed_by": null,
        "reviewer_role": null,
        "last_reviewed": null,
        "version_lock_supported": true,
        "expert_review_status": "optional_not_performed",
        "internal_review_status": "not_applicable"
      }
    },
    {
      "name": "bernoulli",
      "engine": "bernoulli",
      "description": "mode P2|v2|h2; rho; P,v,h sides",
      "page": "https://www.calculatorx.com/calc/physics/bernoulli",
      "endpoint": "https://www.calculatorx.com/api/v1/calc/bernoulli",
      "capability_id": "physics.fluid.bernoulli",
      "calculation_version": "1.0.1",
      "tier": "internally_reviewed",
      "input_schema": "https://www.calculatorx.com/schemas/physics.fluid.bernoulli.input.json",
      "output_schema": "https://www.calculatorx.com/schemas/physics.fluid.bernoulli.output.json",
      "evidence": "https://www.calculatorx.com/evidence/physics.fluid.bernoulli/1.0.1.json",
      "trust": {
        "engine_tested": true,
        "expert_reviewed": false,
        "internally_reviewed": true,
        "review_kind": "internal",
        "source_checked": true,
        "reviewed_by": "CalculatorX physics review",
        "reviewer_role": null,
        "last_reviewed": "2026-08-09",
        "version_lock_supported": true,
        "expert_review_status": "not_applicable",
        "internal_review_status": "approved"
      }
    },
    {
      "name": "specific-heat",
      "engine": "specific-heat",
      "description": "mode Q|m|c|dT; m,c,dT|Q",
      "page": "https://www.calculatorx.com/calc/physics/specific-heat",
      "endpoint": "https://www.calculatorx.com/api/v1/calc/specific-heat",
      "capability_id": "physics.thermo.specific_heat",
      "calculation_version": "1.0.0",
      "tier": "internally_reviewed",
      "input_schema": "https://www.calculatorx.com/schemas/physics.thermo.specific_heat.input.json",
      "output_schema": "https://www.calculatorx.com/schemas/physics.thermo.specific_heat.output.json",
      "evidence": "https://www.calculatorx.com/evidence/physics.thermo.specific_heat/1.0.0.json",
      "trust": {
        "engine_tested": true,
        "expert_reviewed": false,
        "internally_reviewed": true,
        "review_kind": "internal",
        "source_checked": true,
        "reviewed_by": "CalculatorX physics review",
        "reviewer_role": null,
        "last_reviewed": "2026-08-09",
        "version_lock_supported": true,
        "expert_review_status": "not_applicable",
        "internal_review_status": "approved"
      }
    },
    {
      "name": "newton-lbf",
      "engine": "newton-lbf",
      "description": "mode n-lbf|lbf-n; value",
      "page": "https://www.calculatorx.com/calc/physics/newton-lbf",
      "endpoint": "https://www.calculatorx.com/api/v1/calc/newton-lbf",
      "capability_id": "units.force.newton_lbf",
      "calculation_version": "1.0.0",
      "tier": "internally_reviewed",
      "input_schema": "https://www.calculatorx.com/schemas/units.force.newton_lbf.input.json",
      "output_schema": "https://www.calculatorx.com/schemas/units.force.newton_lbf.output.json",
      "evidence": "https://www.calculatorx.com/evidence/units.force.newton_lbf/1.0.0.json",
      "trust": {
        "engine_tested": true,
        "expert_reviewed": false,
        "internally_reviewed": true,
        "review_kind": "internal",
        "source_checked": true,
        "reviewed_by": "CalculatorX physics review",
        "reviewer_role": null,
        "last_reviewed": "2026-08-09",
        "version_lock_supported": true,
        "expert_review_status": "not_applicable",
        "internal_review_status": "approved"
      }
    },
    {
      "name": "mps-kmh",
      "engine": "mps-kmh",
      "description": "mode mps-kmh|kmh-mps; value",
      "page": "https://www.calculatorx.com/calc/physics/mps-kmh",
      "endpoint": "https://www.calculatorx.com/api/v1/calc/mps-kmh",
      "capability_id": "units.speed.mps_kmh",
      "calculation_version": "1.0.0",
      "tier": "internally_reviewed",
      "input_schema": "https://www.calculatorx.com/schemas/units.speed.mps_kmh.input.json",
      "output_schema": "https://www.calculatorx.com/schemas/units.speed.mps_kmh.output.json",
      "evidence": "https://www.calculatorx.com/evidence/units.speed.mps_kmh/1.0.0.json",
      "trust": {
        "engine_tested": true,
        "expert_reviewed": false,
        "internally_reviewed": true,
        "review_kind": "internal",
        "source_checked": true,
        "reviewed_by": "CalculatorX physics review",
        "reviewer_role": null,
        "last_reviewed": "2026-08-09",
        "version_lock_supported": true,
        "expert_review_status": "not_applicable",
        "internal_review_status": "approved"
      }
    },
    {
      "name": "suvat",
      "engine": "suvat",
      "description": "mode v|s|a|t|s_avg; u,v,a,t,s",
      "page": "https://www.calculatorx.com/calc/physics/suvat",
      "endpoint": "https://www.calculatorx.com/api/v1/calc/suvat",
      "capability_id": "physics.kinematics.suvat",
      "calculation_version": "1.0.1",
      "tier": "internally_reviewed",
      "input_schema": "https://www.calculatorx.com/schemas/physics.kinematics.suvat.input.json",
      "output_schema": "https://www.calculatorx.com/schemas/physics.kinematics.suvat.output.json",
      "evidence": "https://www.calculatorx.com/evidence/physics.kinematics.suvat/1.0.1.json",
      "trust": {
        "engine_tested": true,
        "expert_reviewed": false,
        "internally_reviewed": true,
        "review_kind": "internal",
        "source_checked": true,
        "reviewed_by": "CalculatorX physics review",
        "reviewer_role": null,
        "last_reviewed": "2026-08-09",
        "version_lock_supported": true,
        "expert_review_status": "not_applicable",
        "internal_review_status": "approved"
      }
    },
    {
      "name": "torque",
      "engine": "torque",
      "description": "mode tau|F|r; r,F,angle?",
      "page": "https://www.calculatorx.com/calc/physics/torque",
      "endpoint": "https://www.calculatorx.com/api/v1/calc/torque",
      "capability_id": "physics.dynamics.torque",
      "calculation_version": "1.0.0",
      "tier": "internally_reviewed",
      "input_schema": "https://www.calculatorx.com/schemas/physics.dynamics.torque.input.json",
      "output_schema": "https://www.calculatorx.com/schemas/physics.dynamics.torque.output.json",
      "evidence": "https://www.calculatorx.com/evidence/physics.dynamics.torque/1.0.0.json",
      "trust": {
        "engine_tested": true,
        "expert_reviewed": false,
        "internally_reviewed": true,
        "review_kind": "internal",
        "source_checked": true,
        "reviewed_by": "CalculatorX physics review",
        "reviewer_role": null,
        "last_reviewed": "2026-08-09",
        "version_lock_supported": true,
        "expert_review_status": "not_applicable",
        "internal_review_status": "approved"
      }
    },
    {
      "name": "free-fall",
      "engine": "free-fall",
      "description": "mode v|s|t; t|s; u?,g?",
      "page": "https://www.calculatorx.com/calc/physics/free-fall",
      "endpoint": "https://www.calculatorx.com/api/v1/calc/free-fall",
      "capability_id": "physics.kinematics.free_fall",
      "calculation_version": "1.0.1",
      "tier": "internally_reviewed",
      "input_schema": "https://www.calculatorx.com/schemas/physics.kinematics.free_fall.input.json",
      "output_schema": "https://www.calculatorx.com/schemas/physics.kinematics.free_fall.output.json",
      "evidence": "https://www.calculatorx.com/evidence/physics.kinematics.free_fall/1.0.1.json",
      "trust": {
        "engine_tested": true,
        "expert_reviewed": false,
        "internally_reviewed": true,
        "review_kind": "internal",
        "source_checked": true,
        "reviewed_by": "CalculatorX physics review",
        "reviewer_role": null,
        "last_reviewed": "2026-08-09",
        "version_lock_supported": true,
        "expert_review_status": "not_applicable",
        "internal_review_status": "approved"
      }
    },
    {
      "name": "work-power",
      "engine": "work-power",
      "description": "mode W|P_from_W|P_from_Fv",
      "page": "https://www.calculatorx.com/calc/physics/work-power",
      "endpoint": "https://www.calculatorx.com/api/v1/calc/work-power",
      "capability_id": "physics.dynamics.work_power",
      "calculation_version": "1.0.1",
      "tier": "internally_reviewed",
      "input_schema": "https://www.calculatorx.com/schemas/physics.dynamics.work_power.input.json",
      "output_schema": "https://www.calculatorx.com/schemas/physics.dynamics.work_power.output.json",
      "evidence": "https://www.calculatorx.com/evidence/physics.dynamics.work_power/1.0.1.json",
      "trust": {
        "engine_tested": true,
        "expert_reviewed": false,
        "internally_reviewed": true,
        "review_kind": "internal",
        "source_checked": true,
        "reviewed_by": "CalculatorX physics review",
        "reviewer_role": null,
        "last_reviewed": "2026-08-09",
        "version_lock_supported": true,
        "expert_review_status": "not_applicable",
        "internal_review_status": "approved"
      }
    },
    {
      "name": "flow-rate",
      "engine": "flow-rate",
      "description": "mode Q|v|A; A or D; v|Q",
      "page": "https://www.calculatorx.com/calc/physics/flow-rate",
      "endpoint": "https://www.calculatorx.com/api/v1/calc/flow-rate",
      "capability_id": "physics.fluid.flow_rate",
      "calculation_version": "1.0.0",
      "tier": "internally_reviewed",
      "input_schema": "https://www.calculatorx.com/schemas/physics.fluid.flow_rate.input.json",
      "output_schema": "https://www.calculatorx.com/schemas/physics.fluid.flow_rate.output.json",
      "evidence": "https://www.calculatorx.com/evidence/physics.fluid.flow_rate/1.0.0.json",
      "trust": {
        "engine_tested": true,
        "expert_reviewed": false,
        "internally_reviewed": true,
        "review_kind": "internal",
        "source_checked": true,
        "reviewed_by": "CalculatorX physics review",
        "reviewer_role": null,
        "last_reviewed": "2026-08-09",
        "version_lock_supported": true,
        "expert_review_status": "not_applicable",
        "internal_review_status": "approved"
      }
    },
    {
      "name": "joule-ev",
      "engine": "joule-ev",
      "description": "mode j-ev|ev-j; value",
      "page": "https://www.calculatorx.com/calc/physics/joule-ev",
      "endpoint": "https://www.calculatorx.com/api/v1/calc/joule-ev",
      "capability_id": "units.energy.joule_ev",
      "calculation_version": "1.0.0",
      "tier": "internally_reviewed",
      "input_schema": "https://www.calculatorx.com/schemas/units.energy.joule_ev.input.json",
      "output_schema": "https://www.calculatorx.com/schemas/units.energy.joule_ev.output.json",
      "evidence": "https://www.calculatorx.com/evidence/units.energy.joule_ev/1.0.0.json",
      "trust": {
        "engine_tested": true,
        "expert_reviewed": false,
        "internally_reviewed": true,
        "review_kind": "internal",
        "source_checked": true,
        "reviewed_by": "CalculatorX electrical review",
        "reviewer_role": null,
        "last_reviewed": "2026-08-09",
        "version_lock_supported": true,
        "expert_review_status": "not_applicable",
        "internal_review_status": "approved"
      }
    },
    {
      "name": "ev-to-volts",
      "engine": "ev-voltage",
      "description": "mode ev-v-e|ev-v-c|v-ev-e|v-ev-c; energy_eV or voltage_V; charge_value (magnitude). Q>0 when solving for V.",
      "page": "https://www.calculatorx.com/calc/electric/ev-to-volts",
      "endpoint": "https://www.calculatorx.com/api/v1/calc/ev-to-volts",
      "capability_id": "electrical.ev_voltage",
      "calculation_version": "1.3.0",
      "tier": "engine_tested",
      "input_schema": "https://www.calculatorx.com/schemas/electrical.ev_voltage.input.json",
      "output_schema": "https://www.calculatorx.com/schemas/electrical.ev_voltage.output.json",
      "evidence": "https://www.calculatorx.com/evidence/electrical.ev_voltage/1.3.0.json",
      "trust": {
        "engine_tested": true,
        "expert_reviewed": false,
        "internally_reviewed": false,
        "review_kind": null,
        "source_checked": true,
        "reviewed_by": null,
        "reviewer_role": null,
        "last_reviewed": null,
        "version_lock_supported": true,
        "expert_review_status": "optional_not_performed",
        "internal_review_status": "not_applicable"
      }
    },
    {
      "name": "binary-hex",
      "engine": "binary-hex",
      "description": "mode bin-hex|hex-bin; value",
      "page": "https://www.calculatorx.com/calc/physics/binary-hex",
      "endpoint": "https://www.calculatorx.com/api/v1/calc/binary-hex",
      "capability_id": "units.digital.binary_hex",
      "calculation_version": "1.0.0",
      "tier": "internally_reviewed",
      "input_schema": "https://www.calculatorx.com/schemas/units.digital.binary_hex.input.json",
      "output_schema": "https://www.calculatorx.com/schemas/units.digital.binary_hex.output.json",
      "evidence": "https://www.calculatorx.com/evidence/units.digital.binary_hex/1.0.0.json",
      "trust": {
        "engine_tested": true,
        "expert_reviewed": false,
        "internally_reviewed": true,
        "review_kind": "internal",
        "source_checked": true,
        "reviewed_by": "CalculatorX electrical review",
        "reviewer_role": null,
        "last_reviewed": "2026-08-09",
        "version_lock_supported": true,
        "expert_review_status": "not_applicable",
        "internal_review_status": "approved"
      }
    },
    {
      "name": "velocity",
      "engine": "velocity",
      "description": "mode v|s|t; s,t|v",
      "page": "https://www.calculatorx.com/calc/physics/velocity",
      "endpoint": "https://www.calculatorx.com/api/v1/calc/velocity",
      "capability_id": "physics.kinematics.velocity",
      "calculation_version": "1.0.0",
      "tier": "internally_reviewed",
      "input_schema": "https://www.calculatorx.com/schemas/physics.kinematics.velocity.input.json",
      "output_schema": "https://www.calculatorx.com/schemas/physics.kinematics.velocity.output.json",
      "evidence": "https://www.calculatorx.com/evidence/physics.kinematics.velocity/1.0.0.json",
      "trust": {
        "engine_tested": true,
        "expert_reviewed": false,
        "internally_reviewed": true,
        "review_kind": "internal",
        "source_checked": true,
        "reviewed_by": "CalculatorX electrical review",
        "reviewer_role": null,
        "last_reviewed": "2026-08-09",
        "version_lock_supported": true,
        "expert_review_status": "not_applicable",
        "internal_review_status": "approved"
      }
    },
    {
      "name": "momentum",
      "engine": "momentum",
      "description": "mode p|m|v; m,v|p",
      "page": "https://www.calculatorx.com/calc/physics/momentum",
      "endpoint": "https://www.calculatorx.com/api/v1/calc/momentum",
      "capability_id": "physics.dynamics.momentum",
      "calculation_version": "1.0.0",
      "tier": "internally_reviewed",
      "input_schema": "https://www.calculatorx.com/schemas/physics.dynamics.momentum.input.json",
      "output_schema": "https://www.calculatorx.com/schemas/physics.dynamics.momentum.output.json",
      "evidence": "https://www.calculatorx.com/evidence/physics.dynamics.momentum/1.0.0.json",
      "trust": {
        "engine_tested": true,
        "expert_reviewed": false,
        "internally_reviewed": true,
        "review_kind": "internal",
        "source_checked": true,
        "reviewed_by": "CalculatorX electrical review",
        "reviewer_role": null,
        "last_reviewed": "2026-08-09",
        "version_lock_supported": true,
        "expert_review_status": "not_applicable",
        "internal_review_status": "approved"
      }
    },
    {
      "name": "acceleration",
      "engine": "acceleration",
      "description": "mode a|v|t; u,v,a,t",
      "page": "https://www.calculatorx.com/calc/physics/acceleration",
      "endpoint": "https://www.calculatorx.com/api/v1/calc/acceleration",
      "capability_id": "physics.kinematics.acceleration",
      "calculation_version": "1.0.0",
      "tier": "internally_reviewed",
      "input_schema": "https://www.calculatorx.com/schemas/physics.kinematics.acceleration.input.json",
      "output_schema": "https://www.calculatorx.com/schemas/physics.kinematics.acceleration.output.json",
      "evidence": "https://www.calculatorx.com/evidence/physics.kinematics.acceleration/1.0.0.json",
      "trust": {
        "engine_tested": true,
        "expert_reviewed": false,
        "internally_reviewed": true,
        "review_kind": "internal",
        "source_checked": true,
        "reviewed_by": "CalculatorX electrical review",
        "reviewer_role": null,
        "last_reviewed": "2026-08-09",
        "version_lock_supported": true,
        "expert_review_status": "not_applicable",
        "internal_review_status": "approved"
      }
    },
    {
      "name": "half-life",
      "engine": "half-life",
      "description": "mode N|t|T; N0,N,t,T½",
      "page": "https://www.calculatorx.com/calc/physics/half-life",
      "endpoint": "https://www.calculatorx.com/api/v1/calc/half-life",
      "capability_id": "physics.modern.half_life",
      "calculation_version": "1.0.0",
      "tier": "internally_reviewed",
      "input_schema": "https://www.calculatorx.com/schemas/physics.modern.half_life.input.json",
      "output_schema": "https://www.calculatorx.com/schemas/physics.modern.half_life.output.json",
      "evidence": "https://www.calculatorx.com/evidence/physics.modern.half_life/1.0.0.json",
      "trust": {
        "engine_tested": true,
        "expert_reviewed": false,
        "internally_reviewed": true,
        "review_kind": "internal",
        "source_checked": true,
        "reviewed_by": "CalculatorX electrical review",
        "reviewer_role": null,
        "last_reviewed": "2026-08-09",
        "version_lock_supported": true,
        "expert_review_status": "not_applicable",
        "internal_review_status": "approved"
      }
    },
    {
      "name": "efficiency",
      "engine": "efficiency",
      "description": "mode eta|Pout|Pin; Pin,Pout|eta",
      "page": "https://www.calculatorx.com/calc/physics/efficiency",
      "endpoint": "https://www.calculatorx.com/api/v1/calc/efficiency",
      "capability_id": "physics.energy.efficiency",
      "calculation_version": "1.0.0",
      "tier": "internally_reviewed",
      "input_schema": "https://www.calculatorx.com/schemas/physics.energy.efficiency.input.json",
      "output_schema": "https://www.calculatorx.com/schemas/physics.energy.efficiency.output.json",
      "evidence": "https://www.calculatorx.com/evidence/physics.energy.efficiency/1.0.0.json",
      "trust": {
        "engine_tested": true,
        "expert_reviewed": false,
        "internally_reviewed": true,
        "review_kind": "internal",
        "source_checked": true,
        "reviewed_by": "CalculatorX electrical review",
        "reviewer_role": null,
        "last_reviewed": "2026-08-09",
        "version_lock_supported": true,
        "expert_review_status": "not_applicable",
        "internal_review_status": "approved"
      }
    },
    {
      "name": "boyle",
      "engine": "boyle",
      "description": "mode P2|V2|P1|V1; P,V pairs",
      "page": "https://www.calculatorx.com/calc/physics/boyle",
      "endpoint": "https://www.calculatorx.com/api/v1/calc/boyle",
      "capability_id": "physics.thermo.boyle",
      "calculation_version": "1.0.0",
      "tier": "internally_reviewed",
      "input_schema": "https://www.calculatorx.com/schemas/physics.thermo.boyle.input.json",
      "output_schema": "https://www.calculatorx.com/schemas/physics.thermo.boyle.output.json",
      "evidence": "https://www.calculatorx.com/evidence/physics.thermo.boyle/1.0.0.json",
      "trust": {
        "engine_tested": true,
        "expert_reviewed": false,
        "internally_reviewed": true,
        "review_kind": "internal",
        "source_checked": true,
        "reviewed_by": "CalculatorX electrical review",
        "reviewer_role": null,
        "last_reviewed": "2026-08-09",
        "version_lock_supported": true,
        "expert_review_status": "not_applicable",
        "internal_review_status": "approved"
      }
    },
    {
      "name": "kinetic",
      "engine": "kinetic",
      "description": "mode KE|m|v; m,v|KE",
      "page": "https://www.calculatorx.com/calc/physics/kinetic",
      "endpoint": "https://www.calculatorx.com/api/v1/calc/kinetic",
      "capability_id": "physics.energy.kinetic",
      "calculation_version": "1.0.0",
      "tier": "internally_reviewed",
      "input_schema": "https://www.calculatorx.com/schemas/physics.energy.kinetic.input.json",
      "output_schema": "https://www.calculatorx.com/schemas/physics.energy.kinetic.output.json",
      "evidence": "https://www.calculatorx.com/evidence/physics.energy.kinetic/1.0.0.json",
      "trust": {
        "engine_tested": true,
        "expert_reviewed": false,
        "internally_reviewed": true,
        "review_kind": "internal",
        "source_checked": true,
        "reviewed_by": "CalculatorX electrical review",
        "reviewer_role": null,
        "last_reviewed": "2026-08-09",
        "version_lock_supported": true,
        "expert_review_status": "not_applicable",
        "internal_review_status": "approved"
      }
    },
    {
      "name": "potential",
      "engine": "potential",
      "description": "mode PE|m|h; m,h|PE; g?",
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      "calculation_version": "1.0.3",
      "tier": "internally_reviewed",
      "input_schema": "https://www.calculatorx.com/schemas/electrical.rf.antenna_length.input.json",
      "output_schema": "https://www.calculatorx.com/schemas/electrical.rf.antenna_length.output.json",
      "evidence": "https://www.calculatorx.com/evidence/electrical.rf.antenna_length/1.0.3.json",
      "trust": {
        "engine_tested": true,
        "expert_reviewed": false,
        "internally_reviewed": true,
        "review_kind": "internal",
        "source_checked": true,
        "reviewed_by": "CalculatorX electrical review",
        "reviewer_role": "electrical-engineer",
        "last_reviewed": "2026-09-05",
        "version_lock_supported": true,
        "expert_review_status": "not_applicable",
        "internal_review_status": "approved"
      }
    },
    {
      "name": "ac-dc-rectifier",
      "engine": "ac-dc-rectifier",
      "description": "mode half|full; Vac_rms; f_line_Hz?; I_load_A+C_F together for capacitor model",
      "page": "https://www.calculatorx.com/calc/electric/ac-dc-rectifier",
      "endpoint": "https://www.calculatorx.com/api/v1/calc/ac-dc-rectifier",
      "capability_id": "electrical.ac_dc_rectifier",
      "calculation_version": "1.1.2",
      "tier": "internally_reviewed",
      "input_schema": "https://www.calculatorx.com/schemas/electrical.ac_dc_rectifier.input.json",
      "output_schema": "https://www.calculatorx.com/schemas/electrical.ac_dc_rectifier.output.json",
      "evidence": "https://www.calculatorx.com/evidence/electrical.ac_dc_rectifier/1.1.2.json",
      "trust": {
        "engine_tested": true,
        "expert_reviewed": false,
        "internally_reviewed": true,
        "review_kind": "internal",
        "source_checked": true,
        "reviewed_by": "CalculatorX electrical review",
        "reviewer_role": "electrical-engineer",
        "last_reviewed": "2026-08-18",
        "version_lock_supported": true,
        "expert_review_status": "not_applicable",
        "internal_review_status": "approved"
      }
    },
    {
      "name": "adc-error-budget",
      "engine": "adc-error-budget",
      "description": "n_bits (integer 1…32), FSR_V; gain/offset/inl/dnl LSB; combine rss|worst_case. MCP electrical.adc.error_budget",
      "page": "https://www.calculatorx.com/calc/electric/adc-error-budget",
      "endpoint": "https://www.calculatorx.com/api/v1/calc/adc-error-budget",
      "capability_id": "electrical.adc.error_budget",
      "calculation_version": "1.0.0",
      "tier": "internally_reviewed",
      "input_schema": "https://www.calculatorx.com/schemas/electrical.adc.error_budget.input.json",
      "output_schema": "https://www.calculatorx.com/schemas/electrical.adc.error_budget.output.json",
      "evidence": "https://www.calculatorx.com/evidence/electrical.adc.error_budget/1.0.0.json",
      "trust": {
        "engine_tested": true,
        "expert_reviewed": false,
        "internally_reviewed": true,
        "review_kind": "internal",
        "source_checked": true,
        "reviewed_by": "CalculatorX electrical review",
        "reviewer_role": "electrical-engineer",
        "last_reviewed": "2026-09-03",
        "version_lock_supported": true,
        "expert_review_status": "not_applicable",
        "internal_review_status": "approved"
      }
    },
    {
      "name": "pcb-diff-impedance",
      "engine": "pcb-diff-impedance",
      "description": "W_m, H_m, S_m, er",
      "page": "https://www.calculatorx.com/calc/electric/pcb-diff-impedance",
      "endpoint": "https://www.calculatorx.com/api/v1/calc/pcb-diff-impedance",
      "capability_id": "electrical.pcb.diff_impedance",
      "calculation_version": "1.0.0",
      "tier": "internally_reviewed",
      "input_schema": "https://www.calculatorx.com/schemas/electrical.pcb.diff_impedance.input.json",
      "output_schema": "https://www.calculatorx.com/schemas/electrical.pcb.diff_impedance.output.json",
      "evidence": "https://www.calculatorx.com/evidence/electrical.pcb.diff_impedance/1.0.0.json",
      "trust": {
        "engine_tested": true,
        "expert_reviewed": false,
        "internally_reviewed": true,
        "review_kind": "internal",
        "source_checked": true,
        "reviewed_by": "CalculatorX electrical review",
        "reviewer_role": "electrical-engineer",
        "last_reviewed": "2026-09-13",
        "version_lock_supported": true,
        "expert_review_status": "not_applicable",
        "internal_review_status": "approved"
      }
    },
    {
      "name": "current-divider",
      "engine": "current-divider",
      "description": "It+R1+R2 (web); API also R1+R2+I1/I2 or It+I1+R1/R2",
      "page": "https://www.calculatorx.com/calc/electric/current-divider",
      "endpoint": "https://www.calculatorx.com/api/v1/calc/current-divider",
      "capability_id": "electrical.current_divider",
      "calculation_version": "1.0.2",
      "tier": "internally_reviewed",
      "input_schema": "https://www.calculatorx.com/schemas/electrical.current_divider.input.json",
      "output_schema": "https://www.calculatorx.com/schemas/electrical.current_divider.output.json",
      "evidence": "https://www.calculatorx.com/evidence/electrical.current_divider/1.0.2.json",
      "trust": {
        "engine_tested": true,
        "expert_reviewed": false,
        "internally_reviewed": true,
        "review_kind": "internal",
        "source_checked": true,
        "reviewed_by": "CalculatorX electrical review",
        "reviewer_role": "electrical-engineer",
        "last_reviewed": "2026-09-14",
        "version_lock_supported": true,
        "expert_review_status": "not_applicable",
        "internal_review_status": "approved"
      }
    },
    {
      "name": "hpf",
      "engine": "hpf",
      "description": "any two of R,C,fc; optional f",
      "page": "https://www.calculatorx.com/calc/electric/hpf",
      "endpoint": "https://www.calculatorx.com/api/v1/calc/hpf",
      "capability_id": "electrical.hpf",
      "calculation_version": "1.0.0",
      "tier": "internally_reviewed",
      "input_schema": "https://www.calculatorx.com/schemas/electrical.hpf.input.json",
      "output_schema": "https://www.calculatorx.com/schemas/electrical.hpf.output.json",
      "evidence": "https://www.calculatorx.com/evidence/electrical.hpf/1.0.0.json",
      "trust": {
        "engine_tested": true,
        "expert_reviewed": false,
        "internally_reviewed": true,
        "review_kind": "internal",
        "source_checked": true,
        "reviewed_by": "CalculatorX electrical review",
        "reviewer_role": "electrical-engineer",
        "last_reviewed": "2026-08-08",
        "version_lock_supported": true,
        "expert_review_status": "not_applicable",
        "internal_review_status": "approved"
      }
    },
    {
      "name": "vswr",
      "engine": "vswr",
      "description": "mode gamma|vswr|rl + Gamma|VSWR|RL_dB",
      "page": "https://www.calculatorx.com/calc/electric/vswr",
      "endpoint": "https://www.calculatorx.com/api/v1/calc/vswr",
      "capability_id": "electrical.rf.vswr",
      "calculation_version": "1.0.0",
      "tier": "internally_reviewed",
      "input_schema": "https://www.calculatorx.com/schemas/electrical.rf.vswr.input.json",
      "output_schema": "https://www.calculatorx.com/schemas/electrical.rf.vswr.output.json",
      "evidence": "https://www.calculatorx.com/evidence/electrical.rf.vswr/1.0.0.json",
      "trust": {
        "engine_tested": true,
        "expert_reviewed": false,
        "internally_reviewed": true,
        "review_kind": "internal",
        "source_checked": true,
        "reviewed_by": "CalculatorX electrical review",
        "reviewer_role": "electrical-engineer",
        "last_reviewed": "2026-08-08",
        "version_lock_supported": true,
        "expert_review_status": "not_applicable",
        "internal_review_status": "approved"
      }
    },
    {
      "name": "tolerance-stackup",
      "engine": "tolerance-stackup",
      "description": "mode rss|worst_case; tol[] or tol1…",
      "page": "https://www.calculatorx.com/calc/engineering/tolerance-stackup",
      "endpoint": "https://www.calculatorx.com/api/v1/calc/tolerance-stackup",
      "capability_id": "engineering.tolerance.stackup",
      "calculation_version": "1.4.0",
      "tier": "internally_reviewed",
      "input_schema": "https://www.calculatorx.com/schemas/engineering.tolerance.stackup.input.json",
      "output_schema": "https://www.calculatorx.com/schemas/engineering.tolerance.stackup.output.json",
      "evidence": "https://www.calculatorx.com/evidence/engineering.tolerance.stackup/1.4.0.json",
      "trust": {
        "engine_tested": true,
        "expert_reviewed": false,
        "internally_reviewed": true,
        "review_kind": "internal",
        "source_checked": true,
        "reviewed_by": "CalculatorX engineering review",
        "reviewer_role": "metrology-engineer",
        "last_reviewed": "2026-08-11",
        "version_lock_supported": true,
        "expert_review_status": "not_applicable",
        "internal_review_status": "approved"
      }
    },
    {
      "name": "opamp-error-budget",
      "engine": "opamp-error-budget",
      "description": "Vos, Rf, Rg; optional Ib,Ios; mode; combine",
      "page": "https://www.calculatorx.com/calc/electric/opamp-error-budget",
      "endpoint": "https://www.calculatorx.com/api/v1/calc/opamp-error-budget",
      "capability_id": "electrical.opamp.error_budget",
      "calculation_version": "1.0.0",
      "tier": "internally_reviewed",
      "input_schema": "https://www.calculatorx.com/schemas/electrical.opamp.error_budget.input.json",
      "output_schema": "https://www.calculatorx.com/schemas/electrical.opamp.error_budget.output.json",
      "evidence": "https://www.calculatorx.com/evidence/electrical.opamp.error_budget/1.0.0.json",
      "trust": {
        "engine_tested": true,
        "expert_reviewed": false,
        "internally_reviewed": true,
        "review_kind": "internal",
        "source_checked": true,
        "reviewed_by": "CalculatorX electrical review",
        "reviewer_role": "electrical-engineer",
        "last_reviewed": "2026-08-08",
        "version_lock_supported": true,
        "expert_review_status": "not_applicable",
        "internal_review_status": "approved"
      }
    },
    {
      "name": "uncertainty-propagate",
      "engine": "uncertainty-propagate",
      "description": "mode sum|difference|product|quotient (+ a,ua,b,ub) | sensitivity (+ coefficients[], uncertainties[], optional y) | rss (+ uncertainties[])",
      "page": "https://www.calculatorx.com/calc/engineering/uncertainty-propagate",
      "endpoint": "https://www.calculatorx.com/api/v1/calc/uncertainty-propagate",
      "capability_id": "engineering.uncertainty.propagate",
      "calculation_version": "1.9.8",
      "tier": "internally_reviewed",
      "input_schema": "https://www.calculatorx.com/schemas/engineering.uncertainty.propagate.input.json",
      "output_schema": "https://www.calculatorx.com/schemas/engineering.uncertainty.propagate.output.json",
      "evidence": "https://www.calculatorx.com/evidence/engineering.uncertainty.propagate/1.9.8.json",
      "trust": {
        "engine_tested": true,
        "expert_reviewed": false,
        "internally_reviewed": true,
        "review_kind": "internal",
        "source_checked": true,
        "reviewed_by": "CalculatorX engineering review",
        "reviewer_role": "metrology-engineer",
        "last_reviewed": "2026-08-10",
        "version_lock_supported": true,
        "expert_review_status": "not_applicable",
        "internal_review_status": "approved"
      }
    },
    {
      "name": "energy-cost",
      "engine": "energy-cost",
      "description": "mode (watts|kwh), W, hours, days, kWh, rate",
      "page": "https://www.calculatorx.com/calc/electric/energy-cost",
      "endpoint": "https://www.calculatorx.com/api/v1/calc/energy-cost",
      "capability_id": "electrical.energy_cost",
      "calculation_version": "1.4.2",
      "tier": "internally_reviewed",
      "input_schema": "https://www.calculatorx.com/schemas/electrical.energy_cost.input.json",
      "output_schema": "https://www.calculatorx.com/schemas/electrical.energy_cost.output.json",
      "evidence": "https://www.calculatorx.com/evidence/electrical.energy_cost/1.4.2.json",
      "trust": {
        "engine_tested": true,
        "expert_reviewed": false,
        "internally_reviewed": true,
        "review_kind": "internal",
        "source_checked": true,
        "reviewed_by": "CalculatorX electrical review",
        "reviewer_role": "electrical-engineer",
        "last_reviewed": "2026-09-13",
        "version_lock_supported": true,
        "expert_review_status": "not_applicable",
        "internal_review_status": "approved"
      }
    },
    {
      "name": "watt-volt-amp",
      "engine": "watt-volt-amp",
      "description": "any two of P, V, I, R",
      "page": "https://www.calculatorx.com/calc/electric/watt-volt-amp",
      "endpoint": "https://www.calculatorx.com/api/v1/calc/watt-volt-amp",
      "capability_id": "electrical.watt_volt_amp",
      "calculation_version": "1.5.1",
      "tier": "internally_reviewed",
      "input_schema": "https://www.calculatorx.com/schemas/electrical.watt_volt_amp.input.json",
      "output_schema": "https://www.calculatorx.com/schemas/electrical.watt_volt_amp.output.json",
      "evidence": "https://www.calculatorx.com/evidence/electrical.watt_volt_amp/1.5.1.json",
      "trust": {
        "engine_tested": true,
        "expert_reviewed": false,
        "internally_reviewed": true,
        "review_kind": "internal",
        "source_checked": true,
        "reviewed_by": "CalculatorX electrical review",
        "reviewer_role": "electrical-engineer",
        "last_reviewed": "2026-08-08",
        "version_lock_supported": true,
        "expert_review_status": "not_applicable",
        "internal_review_status": "approved"
      }
    },
    {
      "name": "power",
      "engine": "electric-power",
      "description": "mode power-vi|power-ir|power-energy (aliases vi_dc|vi_ac_single|vi_ac_three_phase_ll|i2r|energy_average); V×I: a|V, b|I, phase, power_factor in [0,1] (blank→1, 0 is valid); I²R: a|R, b|I; energy: a|E, b|Δt>0",
      "page": "https://www.calculatorx.com/calc/electric/power",
      "endpoint": "https://www.calculatorx.com/api/v1/calc/power",
      "capability_id": "electrical.power",
      "calculation_version": "1.3.0",
      "tier": "engine_tested",
      "input_schema": "https://www.calculatorx.com/schemas/electrical.power.agent.input.json",
      "output_schema": "https://www.calculatorx.com/schemas/electrical.power.output.json",
      "evidence": "https://www.calculatorx.com/evidence/electrical.power/1.3.0.json",
      "trust": {
        "engine_tested": true,
        "expert_reviewed": false,
        "internally_reviewed": false,
        "review_kind": null,
        "source_checked": true,
        "reviewed_by": null,
        "reviewer_role": null,
        "last_reviewed": null,
        "version_lock_supported": true,
        "expert_review_status": "optional_not_performed",
        "internal_review_status": "not_applicable"
      }
    },
    {
      "name": "electricity",
      "engine": "electricity-bill",
      "description": "mode (kwh|meter), kWh, prev, curr, rate, standing, days, fee",
      "page": "https://www.calculatorx.com/calc/electric/electricity",
      "endpoint": "https://www.calculatorx.com/api/v1/calc/electricity",
      "capability_id": "electrical.electricity_bill",
      "calculation_version": "1.3.1",
      "tier": "internally_reviewed",
      "input_schema": "https://www.calculatorx.com/schemas/electrical.electricity_bill.input.json",
      "output_schema": "https://www.calculatorx.com/schemas/electrical.electricity_bill.output.json",
      "evidence": "https://www.calculatorx.com/evidence/electrical.electricity_bill/1.3.1.json",
      "trust": {
        "engine_tested": true,
        "expert_reviewed": false,
        "internally_reviewed": true,
        "review_kind": "internal",
        "source_checked": true,
        "reviewed_by": "CalculatorX electrical review",
        "reviewer_role": "electrical-engineer",
        "last_reviewed": "2026-09-13",
        "version_lock_supported": true,
        "expert_review_status": "not_applicable",
        "internal_review_status": "approved"
      }
    },
    {
      "name": "mah-to-wh",
      "engine": "mah-to-wh",
      "description": "mode (mah-wh|wh-mah), a|mAh|Wh, b|V (>0)",
      "page": "https://www.calculatorx.com/calc/electric/mah-to-wh",
      "endpoint": "https://www.calculatorx.com/api/v1/calc/mah-to-wh",
      "capability_id": "electrical.mah_to_wh",
      "calculation_version": "1.3.1",
      "tier": "internally_reviewed",
      "input_schema": "https://www.calculatorx.com/schemas/electrical.mah_to_wh.input.json",
      "output_schema": "https://www.calculatorx.com/schemas/electrical.mah_to_wh.output.json",
      "evidence": "https://www.calculatorx.com/evidence/electrical.mah_to_wh/1.3.1.json",
      "trust": {
        "engine_tested": true,
        "expert_reviewed": false,
        "internally_reviewed": true,
        "review_kind": "internal",
        "source_checked": true,
        "reviewed_by": "CalculatorX electrical review",
        "reviewer_role": "electrical-engineer",
        "last_reviewed": "2026-08-08",
        "version_lock_supported": true,
        "expert_review_status": "not_applicable",
        "internal_review_status": "approved"
      }
    },
    {
      "name": "amps-to-kw",
      "engine": "amps-kw",
      "description": "mode a-kw|kw-a; current_a|power_kw, voltage_v; system dc|ac_single|ac_three; power_factor for AC",
      "page": "https://www.calculatorx.com/calc/electric/amps-to-kw",
      "endpoint": "https://www.calculatorx.com/api/v1/calc/amps-to-kw",
      "capability_id": "electrical.amps_to_kw",
      "calculation_version": "1.4.3",
      "tier": "internally_reviewed",
      "input_schema": "https://www.calculatorx.com/schemas/electrical.amps_to_kw.input.json",
      "output_schema": "https://www.calculatorx.com/schemas/electrical.amps_to_kw.output.json",
      "evidence": "https://www.calculatorx.com/evidence/electrical.amps_to_kw/1.4.3.json",
      "trust": {
        "engine_tested": true,
        "expert_reviewed": false,
        "internally_reviewed": true,
        "review_kind": "internal",
        "source_checked": true,
        "reviewed_by": "CalculatorX electrical review",
        "reviewer_role": "electrical-engineer",
        "last_reviewed": "2026-09-05",
        "version_lock_supported": true,
        "expert_review_status": "not_applicable",
        "internal_review_status": "approved"
      }
    },
    {
      "name": "amps-to-volts",
      "engine": "amps-volts",
      "description": "mode a-v-ohm|a-v-watt|v-a-ohm|v-a-watt; current|resistance|power|voltage; system; AC requires power_factor; DC omits it",
      "page": "https://www.calculatorx.com/calc/electric/amps-to-volts",
      "endpoint": "https://www.calculatorx.com/api/v1/calc/amps-to-volts",
      "capability_id": "electrical.amps_to_volts",
      "calculation_version": "1.4.2",
      "tier": "engine_tested",
      "input_schema": "https://www.calculatorx.com/schemas/electrical.amps_to_volts.input.json",
      "output_schema": "https://www.calculatorx.com/schemas/electrical.amps_to_volts.output.json",
      "evidence": "https://www.calculatorx.com/evidence/electrical.amps_to_volts/1.4.2.json",
      "trust": {
        "engine_tested": true,
        "expert_reviewed": false,
        "internally_reviewed": false,
        "review_kind": null,
        "source_checked": true,
        "reviewed_by": null,
        "reviewer_role": null,
        "last_reviewed": null,
        "version_lock_supported": true,
        "expert_review_status": "optional_not_performed",
        "internal_review_status": "not_applicable"
      }
    },
    {
      "name": "kva-to-amps",
      "engine": "kva-amps",
      "description": "mode kva-a|a-kva; a, b, phase",
      "page": "https://www.calculatorx.com/calc/electric/kva-to-amps",
      "endpoint": "https://www.calculatorx.com/api/v1/calc/kva-to-amps",
      "capability_id": "electrical.kva_to_amps",
      "calculation_version": "1.4.1",
      "tier": "internally_reviewed",
      "input_schema": "https://www.calculatorx.com/schemas/electrical.kva_to_amps.input.json",
      "output_schema": "https://www.calculatorx.com/schemas/electrical.kva_to_amps.output.json",
      "evidence": "https://www.calculatorx.com/evidence/electrical.kva_to_amps/1.4.1.json",
      "trust": {
        "engine_tested": true,
        "expert_reviewed": false,
        "internally_reviewed": true,
        "review_kind": "internal",
        "source_checked": true,
        "reviewed_by": "CalculatorX electrical review",
        "reviewer_role": "electrical-engineer",
        "last_reviewed": "2026-08-08",
        "version_lock_supported": true,
        "expert_review_status": "not_applicable",
        "internal_review_status": "approved"
      }
    },
    {
      "name": "va-to-kva",
      "engine": "scale",
      "description": "a, factor",
      "page": "https://www.calculatorx.com/calc/electric/va-to-kva",
      "endpoint": "https://www.calculatorx.com/api/v1/calc/va-to-kva",
      "capability_id": "electrical.va_to_kva",
      "calculation_version": "1.3.1",
      "tier": "engine_tested",
      "input_schema": "https://www.calculatorx.com/schemas/electrical.va_to_kva.input.json",
      "output_schema": "https://www.calculatorx.com/schemas/electrical.va_to_kva.output.json",
      "evidence": "https://www.calculatorx.com/evidence/electrical.va_to_kva/1.3.1.json",
      "trust": {
        "engine_tested": true,
        "expert_reviewed": false,
        "internally_reviewed": false,
        "review_kind": null,
        "source_checked": true,
        "reviewed_by": null,
        "reviewer_role": null,
        "last_reviewed": null,
        "version_lock_supported": true,
        "expert_review_status": "optional_not_performed",
        "internal_review_status": "not_applicable"
      }
    },
    {
      "name": "kva-to-kw",
      "engine": "kva-kw",
      "description": "mode kva-kw|kw-kva; a, b=pf",
      "page": "https://www.calculatorx.com/calc/electric/kva-to-kw",
      "endpoint": "https://www.calculatorx.com/api/v1/calc/kva-to-kw",
      "capability_id": "electrical.kva_to_kw",
      "calculation_version": "1.4.1",
      "tier": "internally_reviewed",
      "input_schema": "https://www.calculatorx.com/schemas/electrical.kva_to_kw.input.json",
      "output_schema": "https://www.calculatorx.com/schemas/electrical.kva_to_kw.output.json",
      "evidence": "https://www.calculatorx.com/evidence/electrical.kva_to_kw/1.4.1.json",
      "trust": {
        "engine_tested": true,
        "expert_reviewed": false,
        "internally_reviewed": true,
        "review_kind": "internal",
        "source_checked": true,
        "reviewed_by": "CalculatorX electrical review",
        "reviewer_role": "electrical-engineer",
        "last_reviewed": "2026-08-08",
        "version_lock_supported": true,
        "expert_review_status": "not_applicable",
        "internal_review_status": "approved"
      }
    },
    {
      "name": "kw-to-va",
      "engine": "kw-va",
      "description": "mode kw-va|va-kw; a, b=pf",
      "page": "https://www.calculatorx.com/calc/electric/kw-to-va",
      "endpoint": "https://www.calculatorx.com/api/v1/calc/kw-to-va",
      "capability_id": "electrical.kw_to_va",
      "calculation_version": "1.3.1",
      "tier": "internally_reviewed",
      "input_schema": "https://www.calculatorx.com/schemas/electrical.kw_to_va.input.json",
      "output_schema": "https://www.calculatorx.com/schemas/electrical.kw_to_va.output.json",
      "evidence": "https://www.calculatorx.com/evidence/electrical.kw_to_va/1.3.1.json",
      "trust": {
        "engine_tested": true,
        "expert_reviewed": false,
        "internally_reviewed": true,
        "review_kind": "internal",
        "source_checked": true,
        "reviewed_by": "CalculatorX electrical review",
        "reviewer_role": "electrical-engineer",
        "last_reviewed": "2026-08-08",
        "version_lock_supported": true,
        "expert_review_status": "not_applicable",
        "internal_review_status": "approved"
      }
    },
    {
      "name": "watts-to-va",
      "engine": "watts-va",
      "description": "mode (w-va|va-w), a|P|S, b|power_factor in (0,1]; optional factor",
      "page": "https://www.calculatorx.com/calc/electric/watts-to-va",
      "endpoint": "https://www.calculatorx.com/api/v1/calc/watts-to-va",
      "capability_id": "electrical.watts_to_va",
      "calculation_version": "1.3.1",
      "tier": "engine_tested",
      "input_schema": "https://www.calculatorx.com/schemas/electrical.watts_to_va.input.json",
      "output_schema": "https://www.calculatorx.com/schemas/electrical.watts_to_va.output.json",
      "evidence": "https://www.calculatorx.com/evidence/electrical.watts_to_va/1.3.1.json",
      "trust": {
        "engine_tested": true,
        "expert_reviewed": false,
        "internally_reviewed": false,
        "review_kind": null,
        "source_checked": true,
        "reviewed_by": null,
        "reviewer_role": null,
        "last_reviewed": null,
        "version_lock_supported": true,
        "expert_review_status": "optional_not_performed",
        "internal_review_status": "not_applicable"
      }
    },
    {
      "name": "watts-to-kva",
      "engine": "watts-to-kva",
      "description": "a (W or kVA), b=PF in (0,1], factor (0.001 W→kVA | 1000 kVA→W)",
      "page": "https://www.calculatorx.com/calc/electric/watts-to-kva",
      "endpoint": "https://www.calculatorx.com/api/v1/calc/watts-to-kva",
      "capability_id": "electrical.watts_to_kva",
      "calculation_version": "1.3.1",
      "tier": "engine_tested",
      "input_schema": "https://www.calculatorx.com/schemas/electrical.watts_to_kva.input.json",
      "output_schema": "https://www.calculatorx.com/schemas/electrical.watts_to_kva.output.json",
      "evidence": "https://www.calculatorx.com/evidence/electrical.watts_to_kva/1.3.1.json",
      "trust": {
        "engine_tested": true,
        "expert_reviewed": false,
        "internally_reviewed": false,
        "review_kind": null,
        "source_checked": true,
        "reviewed_by": null,
        "reviewer_role": null,
        "last_reviewed": null,
        "version_lock_supported": true,
        "expert_review_status": "optional_not_performed",
        "internal_review_status": "not_applicable"
      }
    },
    {
      "name": "kwh-to-watts",
      "engine": "kwh-to-watts",
      "description": "a (kWh or W), b=hours > 0, factor (1000 kWh→W | 0.001 W→kWh)",
      "page": "https://www.calculatorx.com/calc/electric/kwh-to-watts",
      "endpoint": "https://www.calculatorx.com/api/v1/calc/kwh-to-watts",
      "capability_id": "electrical.kwh_to_watts",
      "calculation_version": "1.2.1",
      "tier": "engine_tested",
      "input_schema": "https://www.calculatorx.com/schemas/electrical.kwh_to_watts.input.json",
      "output_schema": "https://www.calculatorx.com/schemas/electrical.kwh_to_watts.output.json",
      "evidence": "https://www.calculatorx.com/evidence/electrical.kwh_to_watts/1.2.1.json",
      "trust": {
        "engine_tested": true,
        "expert_reviewed": false,
        "internally_reviewed": false,
        "review_kind": null,
        "source_checked": true,
        "reviewed_by": null,
        "reviewer_role": null,
        "last_reviewed": null,
        "version_lock_supported": true,
        "expert_review_status": "optional_not_performed",
        "internal_review_status": "not_applicable"
      }
    },
    {
      "name": "kwh-to-kw",
      "engine": "kwh-to-kw",
      "description": "mode kwh-kw|kw-kwh; a (kWh or kW), b=hours",
      "page": "https://www.calculatorx.com/calc/electric/kwh-to-kw",
      "endpoint": "https://www.calculatorx.com/api/v1/calc/kwh-to-kw",
      "capability_id": "electrical.kwh_to_kw",
      "calculation_version": "1.2.1",
      "tier": "engine_tested",
      "input_schema": "https://www.calculatorx.com/schemas/electrical.kwh_to_kw.input.json",
      "output_schema": "https://www.calculatorx.com/schemas/electrical.kwh_to_kw.output.json",
      "evidence": "https://www.calculatorx.com/evidence/electrical.kwh_to_kw/1.2.1.json",
      "trust": {
        "engine_tested": true,
        "expert_reviewed": false,
        "internally_reviewed": false,
        "review_kind": null,
        "source_checked": true,
        "reviewed_by": null,
        "reviewer_role": null,
        "last_reviewed": null,
        "version_lock_supported": true,
        "expert_review_status": "optional_not_performed",
        "internal_review_status": "not_applicable"
      }
    },
    {
      "name": "watts-to-volts",
      "engine": "watts-to-volts",
      "description": "mode w-v-a|w-v-r|v-w; a, b, phase single|three, pf",
      "page": "https://www.calculatorx.com/calc/electric/watts-to-volts",
      "endpoint": "https://www.calculatorx.com/api/v1/calc/watts-to-volts",
      "capability_id": "electrical.watts_to_volts",
      "calculation_version": "1.3.1",
      "tier": "engine_tested",
      "input_schema": "https://www.calculatorx.com/schemas/electrical.watts_to_volts.input.json",
      "output_schema": "https://www.calculatorx.com/schemas/electrical.watts_to_volts.output.json",
      "evidence": "https://www.calculatorx.com/evidence/electrical.watts_to_volts/1.3.1.json",
      "trust": {
        "engine_tested": true,
        "expert_reviewed": false,
        "internally_reviewed": false,
        "review_kind": null,
        "source_checked": true,
        "reviewed_by": null,
        "reviewer_role": null,
        "last_reviewed": null,
        "version_lock_supported": true,
        "expert_review_status": "optional_not_performed",
        "internal_review_status": "not_applicable"
      }
    },
    {
      "name": "volts-to-joules",
      "engine": "volts-to-joules",
      "description": "a (V or J), b=charge C (≠ 0 on reverse)",
      "page": "https://www.calculatorx.com/calc/electric/volts-to-joules",
      "endpoint": "https://www.calculatorx.com/api/v1/calc/volts-to-joules",
      "capability_id": "electrical.volts_to_joules",
      "calculation_version": "1.2.0",
      "tier": "engine_tested",
      "input_schema": "https://www.calculatorx.com/schemas/electrical.volts_to_joules.input.json",
      "output_schema": "https://www.calculatorx.com/schemas/electrical.volts_to_joules.output.json",
      "evidence": "https://www.calculatorx.com/evidence/electrical.volts_to_joules/1.2.0.json",
      "trust": {
        "engine_tested": true,
        "expert_reviewed": false,
        "internally_reviewed": false,
        "review_kind": null,
        "source_checked": true,
        "reviewed_by": null,
        "reviewer_role": null,
        "last_reviewed": null,
        "version_lock_supported": true,
        "expert_review_status": "optional_not_performed",
        "internal_review_status": "not_applicable"
      }
    },
    {
      "name": "watts-to-joules",
      "engine": "watts-to-joules",
      "description": "a (W or J), b=time seconds > 0; optional factor (60 min | 3600 h)",
      "page": "https://www.calculatorx.com/calc/electric/watts-to-joules",
      "endpoint": "https://www.calculatorx.com/api/v1/calc/watts-to-joules",
      "capability_id": "electrical.watts_to_joules",
      "calculation_version": "1.2.1",
      "tier": "engine_tested",
      "input_schema": "https://www.calculatorx.com/schemas/electrical.watts_to_joules.input.json",
      "output_schema": "https://www.calculatorx.com/schemas/electrical.watts_to_joules.output.json",
      "evidence": "https://www.calculatorx.com/evidence/electrical.watts_to_joules/1.2.1.json",
      "trust": {
        "engine_tested": true,
        "expert_reviewed": false,
        "internally_reviewed": false,
        "review_kind": null,
        "source_checked": true,
        "reviewed_by": null,
        "reviewer_role": null,
        "last_reviewed": null,
        "version_lock_supported": true,
        "expert_review_status": "optional_not_performed",
        "internal_review_status": "not_applicable"
      }
    },
    {
      "name": "awg-to-mm",
      "engine": "awg",
      "description": "awg (12 | 1/0 | 4/0 | −3…), field (mm|mm2)",
      "page": "https://www.calculatorx.com/calc/wire/awg-to-mm",
      "endpoint": "https://www.calculatorx.com/api/v1/calc/awg-to-mm",
      "capability_id": "electrical.awg_to_mm",
      "calculation_version": "1.5.0",
      "tier": "engine_tested",
      "input_schema": "https://www.calculatorx.com/schemas/electrical.awg_to_mm.input.json",
      "output_schema": "https://www.calculatorx.com/schemas/electrical.awg_to_mm.output.json",
      "evidence": "https://www.calculatorx.com/evidence/electrical.awg_to_mm/1.5.0.json",
      "trust": {
        "engine_tested": true,
        "expert_reviewed": false,
        "internally_reviewed": false,
        "review_kind": null,
        "source_checked": true,
        "reviewed_by": null,
        "reviewer_role": null,
        "last_reviewed": null,
        "version_lock_supported": true,
        "expert_review_status": "optional_not_performed",
        "internal_review_status": "not_applicable"
      }
    },
    {
      "name": "swg-to-mm",
      "engine": "swg",
      "description": "swg (14 | 7/0 | 2/0 | −6…50 | 0 | 1/0), field (mm|mm2); legacy alias a. Success echo adds input_token, canonical_swg, canonical_label, canonical_inch, input_alias_used.",
      "page": "https://www.calculatorx.com/calc/wire/swg-to-mm",
      "endpoint": "https://www.calculatorx.com/api/v1/calc/swg-to-mm",
      "capability_id": "electrical.swg_to_mm",
      "calculation_version": "1.3.1",
      "tier": "engine_tested",
      "input_schema": "https://www.calculatorx.com/schemas/electrical.swg_to_mm.input.json",
      "output_schema": "https://www.calculatorx.com/schemas/electrical.swg_to_mm.output.json",
      "evidence": "https://www.calculatorx.com/evidence/electrical.swg_to_mm/1.3.1.json",
      "trust": {
        "engine_tested": true,
        "expert_reviewed": false,
        "internally_reviewed": false,
        "review_kind": null,
        "source_checked": true,
        "reviewed_by": null,
        "reviewer_role": null,
        "last_reviewed": null,
        "version_lock_supported": true,
        "expert_review_status": "optional_not_performed",
        "internal_review_status": "not_applicable"
      }
    },
    {
      "name": "percentage",
      "engine": "percentage",
      "description": "mode (of | is-what | of-what | change | adjust-up | adjust-down | difference); p, x, y, old, new, a, b (share aliases pInput, xInput, yInput, oldInput, newInput, aInput, bInput)",
      "page": "https://www.calculatorx.com/calc/math/percentage",
      "endpoint": "https://www.calculatorx.com/api/v1/calc/percentage",
      "capability_id": "math.percentage",
      "calculation_version": "1.2.0",
      "tier": "engine_tested",
      "input_schema": "https://www.calculatorx.com/schemas/math.percentage.agent.input.json",
      "output_schema": "https://www.calculatorx.com/schemas/math.percentage.output.json",
      "evidence": "https://www.calculatorx.com/evidence/math.percentage/1.2.0.json",
      "trust": {
        "engine_tested": true,
        "expert_reviewed": false,
        "internally_reviewed": false,
        "review_kind": null,
        "source_checked": true,
        "reviewed_by": null,
        "reviewer_role": null,
        "last_reviewed": null,
        "version_lock_supported": true,
        "expert_review_status": "optional_not_performed",
        "internal_review_status": "not_applicable"
      }
    },
    {
      "name": "percent-change",
      "engine": "percent-change",
      "description": "any two of v1, v2, p; optional solve_for (p | v1 | v2). Aliases: v1Input/oldV, v2Input/newV, pInput/percent. Inverse V₁ can have 0, 1, or 2 solutions because the denominator is |V₁|.",
      "page": "https://www.calculatorx.com/calc/math/percentage-change",
      "endpoint": "https://www.calculatorx.com/api/v1/calc/percent-change",
      "capability_id": "math.percent_change",
      "calculation_version": "1.2.0",
      "tier": "engine_tested",
      "input_schema": "https://www.calculatorx.com/schemas/math.percent_change.agent.input.json",
      "output_schema": "https://www.calculatorx.com/schemas/math.percent_change.output.json",
      "evidence": "https://www.calculatorx.com/evidence/math.percent_change/1.2.0.json",
      "trust": {
        "engine_tested": true,
        "expert_reviewed": false,
        "internally_reviewed": false,
        "review_kind": null,
        "source_checked": true,
        "reviewed_by": null,
        "reviewer_role": null,
        "last_reviewed": null,
        "version_lock_supported": true,
        "expert_review_status": "optional_not_performed",
        "internal_review_status": "not_applicable"
      }
    },
    {
      "name": "pythagorean",
      "engine": "pythagorean",
      "description": "any two of a, b, c; optional solve_for (a | b | c) or mode=verify. Aliases: aInput, bInput, cInput. All three without solve_for → verify.",
      "page": "https://www.calculatorx.com/calc/math/pythagorean",
      "endpoint": "https://www.calculatorx.com/api/v1/calc/pythagorean",
      "capability_id": "math.pythagorean",
      "calculation_version": "1.2.0",
      "tier": "engine_tested",
      "input_schema": "https://www.calculatorx.com/schemas/math.pythagorean.agent.input.json",
      "output_schema": "https://www.calculatorx.com/schemas/math.pythagorean.output.json",
      "evidence": "https://www.calculatorx.com/evidence/math.pythagorean/1.2.0.json",
      "trust": {
        "engine_tested": true,
        "expert_reviewed": false,
        "internally_reviewed": false,
        "review_kind": null,
        "source_checked": true,
        "reviewed_by": null,
        "reviewer_role": null,
        "last_reviewed": null,
        "version_lock_supported": true,
        "expert_review_status": "optional_not_performed",
        "internal_review_status": "not_applicable"
      }
    },
    {
      "name": "ratio",
      "engine": "ratio",
      "description": "mode (simplify | proportion | scale | split | compare | convert); a, b, optional c / d / k / total. Aliases: aInput, bInput, cInput, dInput, kInput, totalInput. terms=2|3. scaleOp=multiply|divide. Decimals and simple fractions (3/4) accepted.",
      "page": "https://www.calculatorx.com/calc/math/ratio",
      "endpoint": "https://www.calculatorx.com/api/v1/calc/ratio",
      "capability_id": "math.ratio",
      "calculation_version": "1.0.3",
      "tier": "engine_tested",
      "input_schema": "https://www.calculatorx.com/schemas/math.ratio.agent.input.json",
      "output_schema": "https://www.calculatorx.com/schemas/math.ratio.output.json",
      "evidence": "https://www.calculatorx.com/evidence/math.ratio/1.0.3.json",
      "trust": {
        "engine_tested": true,
        "expert_reviewed": false,
        "internally_reviewed": false,
        "review_kind": null,
        "source_checked": true,
        "reviewed_by": null,
        "reviewer_role": null,
        "last_reviewed": null,
        "version_lock_supported": true,
        "expert_review_status": "optional_not_performed",
        "internal_review_status": "not_applicable"
      }
    },
    {
      "name": "subtraction",
      "engine": "subtraction",
      "description": "any two of minuend, subtrahend, difference; optional mode (difference | long). Aliases: minInput, subInput, diffInput, a, b, d. Long mode requires minuend and subtrahend (non-negative, no scientific notation); minuend < subtrahend yields a negative difference.",
      "page": "https://www.calculatorx.com/calc/math/subtraction",
      "endpoint": "https://www.calculatorx.com/api/v1/calc/subtraction",
      "capability_id": "math.subtraction",
      "calculation_version": "1.0.2",
      "tier": "engine_tested",
      "input_schema": "https://www.calculatorx.com/schemas/math.subtraction.agent.input.json",
      "output_schema": "https://www.calculatorx.com/schemas/math.subtraction.output.json",
      "evidence": "https://www.calculatorx.com/evidence/math.subtraction/1.0.2.json",
      "trust": {
        "engine_tested": true,
        "expert_reviewed": false,
        "internally_reviewed": false,
        "review_kind": null,
        "source_checked": true,
        "reviewed_by": null,
        "reviewer_role": null,
        "last_reviewed": null,
        "version_lock_supported": true,
        "expert_review_status": "optional_not_performed",
        "internal_review_status": "not_applicable"
      }
    },
    {
      "name": "combinatorics",
      "engine": "combinatorics",
      "description": "mode permutation|combination (default combination); n, k. Aliases: nInput, kInput, nPr, nCr, binomial",
      "page": "https://www.calculatorx.com/calc/math/permutation-combination",
      "endpoint": "https://www.calculatorx.com/api/v1/calc/combinatorics",
      "capability_id": "math.combinatorics",
      "calculation_version": "1.0.3",
      "tier": "engine_tested",
      "input_schema": "https://www.calculatorx.com/schemas/math.combinatorics.agent.input.json",
      "output_schema": "https://www.calculatorx.com/schemas/math.combinatorics.output.json",
      "evidence": "https://www.calculatorx.com/evidence/math.combinatorics/1.0.3.json",
      "trust": {
        "engine_tested": true,
        "expert_reviewed": false,
        "internally_reviewed": false,
        "review_kind": null,
        "source_checked": true,
        "reviewed_by": null,
        "reviewer_role": null,
        "last_reviewed": null,
        "version_lock_supported": true,
        "expert_review_status": "optional_not_performed",
        "internal_review_status": "not_applicable"
      }
    },
    {
      "name": "modulo",
      "engine": "modulo",
      "description": "mode remainder|inverse (default remainder); a, modulus. Alias: m (engine only; share uses modulus). Discovery: /calc/math/modular-inverse",
      "page": "https://www.calculatorx.com/calc/math/modulo",
      "endpoint": "https://www.calculatorx.com/api/v1/calc/modulo",
      "capability_id": "math.modulo",
      "calculation_version": "1.1.2",
      "tier": "engine_tested",
      "input_schema": "https://www.calculatorx.com/schemas/math.modulo.agent.input.json",
      "output_schema": "https://www.calculatorx.com/schemas/math.modulo.output.json",
      "evidence": "https://www.calculatorx.com/evidence/math.modulo/1.1.2.json",
      "trust": {
        "engine_tested": true,
        "expert_reviewed": false,
        "internally_reviewed": false,
        "review_kind": null,
        "source_checked": true,
        "reviewed_by": null,
        "reviewer_role": null,
        "last_reviewed": null,
        "version_lock_supported": true,
        "expert_review_status": "optional_not_performed",
        "internal_review_status": "not_applicable"
      }
    },
    {
      "name": "sequence",
      "engine": "sequence",
      "description": "mode arithmetic|geometric|fibonacci|linear_recurrence; n; a,d (AP); a,r (GP); p,q,a0,a1 (recurrence). Discovery: /calc/math/arithmetic-sequence, /geometric-sequence, /fibonacci. Not Pascal, not partition. Engine id is sequence — never arithmetic (that is the add/sub engine).",
      "page": "https://www.calculatorx.com/calc/math/sequence",
      "endpoint": "https://www.calculatorx.com/api/v1/calc/sequence",
      "capability_id": "math.sequences",
      "calculation_version": "1.0.3",
      "tier": "engine_tested",
      "input_schema": "https://www.calculatorx.com/schemas/math.sequences.input.json",
      "output_schema": "https://www.calculatorx.com/schemas/math.sequences.output.json",
      "evidence": "https://www.calculatorx.com/evidence/math.sequences/1.0.3.json",
      "trust": {
        "engine_tested": true,
        "expert_reviewed": false,
        "internally_reviewed": false,
        "review_kind": null,
        "source_checked": true,
        "reviewed_by": null,
        "reviewer_role": null,
        "last_reviewed": null,
        "version_lock_supported": true,
        "expert_review_status": "optional_not_performed",
        "internal_review_status": "not_applicable"
      }
    },
    {
      "name": "prime-factorization",
      "engine": "prime-factorization",
      "description": "mode factorize|is_prime (default factorize); n. Alias: nInput",
      "page": "https://www.calculatorx.com/calc/math/prime-factorization",
      "endpoint": "https://www.calculatorx.com/api/v1/calc/prime-factorization",
      "capability_id": "math.prime_factorization",
      "calculation_version": "1.0.1",
      "tier": "engine_tested",
      "input_schema": "https://www.calculatorx.com/schemas/math.prime_factorization.agent.input.json",
      "output_schema": "https://www.calculatorx.com/schemas/math.prime_factorization.output.json",
      "evidence": "https://www.calculatorx.com/evidence/math.prime_factorization/1.0.1.json",
      "trust": {
        "engine_tested": true,
        "expert_reviewed": false,
        "internally_reviewed": false,
        "review_kind": null,
        "source_checked": true,
        "reviewed_by": null,
        "reviewer_role": null,
        "last_reviewed": null,
        "version_lock_supported": true,
        "expert_review_status": "optional_not_performed",
        "internal_review_status": "not_applicable"
      }
    },
    {
      "name": "linear-equation",
      "engine": "linear-equation",
      "description": "a, b, rhs. Alias: c for rhs except mode=rational or rational_inequality (there c,d are the denominator). mode solve|inequality|abs|abs_inequality|rational|rational_inequality; op lt|le|gt|ge for inequality modes. Discovery /linear-inequality, /absolute-value, /absolute-value-inequality, /rational-equation, /rational-inequality. Not quadratic, not a system, not CAS.",
      "page": "https://www.calculatorx.com/calc/math/linear-equation",
      "endpoint": "https://www.calculatorx.com/api/v1/calc/linear-equation",
      "capability_id": "math.algebra.linear_equation",
      "calculation_version": "1.5.1",
      "tier": "engine_tested",
      "input_schema": "https://www.calculatorx.com/schemas/math.algebra.linear_equation.agent.input.json",
      "output_schema": "https://www.calculatorx.com/schemas/math.algebra.linear_equation.output.json",
      "evidence": "https://www.calculatorx.com/evidence/math.algebra.linear_equation/1.5.1.json",
      "trust": {
        "engine_tested": true,
        "expert_reviewed": false,
        "internally_reviewed": false,
        "review_kind": null,
        "source_checked": true,
        "reviewed_by": null,
        "reviewer_role": null,
        "last_reviewed": null,
        "version_lock_supported": true,
        "expert_review_status": "optional_not_performed",
        "internal_review_status": "not_applicable"
      }
    },
    {
      "name": "quadratic",
      "engine": "quadratic",
      "description": "a, b, c. mode solve|inequality; op lt|le|gt|ge and optional rhs for inequality. Discovery /calc/math/quadratic-inequality. Not cubic, not CAS factoring.",
      "page": "https://www.calculatorx.com/calc/math/quadratic",
      "endpoint": "https://www.calculatorx.com/api/v1/calc/quadratic",
      "capability_id": "math.quadratic",
      "calculation_version": "1.1.2",
      "tier": "engine_tested",
      "input_schema": "https://www.calculatorx.com/schemas/math.quadratic.agent.input.json",
      "output_schema": "https://www.calculatorx.com/schemas/math.quadratic.output.json",
      "evidence": "https://www.calculatorx.com/evidence/math.quadratic/1.1.2.json",
      "trust": {
        "engine_tested": true,
        "expert_reviewed": false,
        "internally_reviewed": false,
        "review_kind": null,
        "source_checked": true,
        "reviewed_by": null,
        "reviewer_role": null,
        "last_reviewed": null,
        "version_lock_supported": true,
        "expert_review_status": "optional_not_performed",
        "internal_review_status": "not_applicable"
      }
    },
    {
      "name": "polynomial-roots",
      "engine": "polynomial-roots",
      "description": "coeffs c0,c1,…,cn constant first, or a,b,c,d for cubic; method all_roots|cardano|evaluate; x for Horner. Degree 1–8. Cubic discovery /calc/math/cubic-equation. Evaluate discovery /calc/math/polynomial-evaluate. Not quadratic discriminant/vertex, not Ferrari, not a single Newton root, not CAS factoring.",
      "page": "https://www.calculatorx.com/calc/math/polynomial-roots",
      "endpoint": "https://www.calculatorx.com/api/v1/calc/polynomial-roots",
      "capability_id": "math.polynomial.roots",
      "calculation_version": "1.2.2",
      "tier": "engine_tested",
      "input_schema": "https://www.calculatorx.com/schemas/math.polynomial.roots.agent.input.json",
      "output_schema": "https://www.calculatorx.com/schemas/math.polynomial.roots.output.json",
      "evidence": "https://www.calculatorx.com/evidence/math.polynomial.roots/1.2.2.json",
      "trust": {
        "engine_tested": true,
        "expert_reviewed": false,
        "internally_reviewed": false,
        "review_kind": null,
        "source_checked": true,
        "reviewed_by": null,
        "reviewer_role": null,
        "last_reviewed": null,
        "version_lock_supported": true,
        "expert_review_status": "optional_not_performed",
        "internal_review_status": "not_applicable"
      }
    },
    {
      "name": "triangle-solver",
      "engine": "triangle-solver",
      "description": "mode sss|sas|asa|aas|ssa; sides a,b,c; angles A_deg, B_deg, C_deg. Not Pythagorean-only.",
      "page": "https://www.calculatorx.com/calc/math/triangle-solver",
      "endpoint": "https://www.calculatorx.com/api/v1/calc/triangle-solver",
      "capability_id": "math.geometry.triangle",
      "calculation_version": "1.1.0",
      "tier": "engine_tested",
      "input_schema": "https://www.calculatorx.com/schemas/math.geometry.triangle.input.json",
      "output_schema": "https://www.calculatorx.com/schemas/math.geometry.triangle.output.json",
      "evidence": "https://www.calculatorx.com/evidence/math.geometry.triangle/1.1.0.json",
      "trust": {
        "engine_tested": true,
        "expert_reviewed": false,
        "internally_reviewed": false,
        "review_kind": null,
        "source_checked": true,
        "reviewed_by": null,
        "reviewer_role": null,
        "last_reviewed": null,
        "version_lock_supported": true,
        "expert_review_status": "optional_not_performed",
        "internal_review_status": "not_applicable"
      }
    },
    {
      "name": "complex",
      "engine": "complex",
      "description": "mode add|sub|mul|div|rect_to_polar|polar_to_rect|conjugate|modulus|power|root|euler; re, im, re2, im2, r, arg_deg, n, from. Discovery: /complex-polar, /complex-power, /complex-roots, /complex-euler",
      "page": "https://www.calculatorx.com/calc/math/complex-number",
      "endpoint": "https://www.calculatorx.com/api/v1/calc/complex",
      "capability_id": "math.complex",
      "calculation_version": "1.3.0",
      "tier": "engine_tested",
      "input_schema": "https://www.calculatorx.com/schemas/math.complex.input.json",
      "output_schema": "https://www.calculatorx.com/schemas/math.complex.output.json",
      "evidence": "https://www.calculatorx.com/evidence/math.complex/1.3.0.json",
      "trust": {
        "engine_tested": true,
        "expert_reviewed": false,
        "internally_reviewed": false,
        "review_kind": null,
        "source_checked": true,
        "reviewed_by": null,
        "reviewer_role": null,
        "last_reviewed": null,
        "version_lock_supported": true,
        "expert_review_status": "optional_not_performed",
        "internal_review_status": "not_applicable"
      }
    },
    {
      "name": "circle",
      "engine": "circle",
      "description": "mode from_radius|from_diameter|from_circumference|from_area|arc|sector; r, diameter, circumference, area, theta_deg. Discovery /sector, /arc. Not Pythagorean, not /spherical-sector, not CAS.",
      "page": "https://www.calculatorx.com/calc/math/circle",
      "endpoint": "https://www.calculatorx.com/api/v1/calc/circle",
      "capability_id": "math.geometry.circle",
      "calculation_version": "1.2.0",
      "tier": "engine_tested",
      "input_schema": "https://www.calculatorx.com/schemas/math.geometry.circle.input.json",
      "output_schema": "https://www.calculatorx.com/schemas/math.geometry.circle.output.json",
      "evidence": "https://www.calculatorx.com/evidence/math.geometry.circle/1.2.0.json",
      "trust": {
        "engine_tested": true,
        "expert_reviewed": false,
        "internally_reviewed": false,
        "review_kind": null,
        "source_checked": true,
        "reviewed_by": null,
        "reviewer_role": null,
        "last_reviewed": null,
        "version_lock_supported": true,
        "expert_review_status": "optional_not_performed",
        "internal_review_status": "not_applicable"
      }
    },
    {
      "name": "conic-section",
      "engine": "conic-section",
      "description": "mode ellipse|parabola|hyperbola; ellipse/hyperbola a, b; parabola p and orientation vertical|horizontal. Discovery /ellipse, /parabola, /hyperbola. Not the circle-only page, not coordinate geometry, not CAS.",
      "page": "https://www.calculatorx.com/calc/math/conic-section",
      "endpoint": "https://www.calculatorx.com/api/v1/calc/conic-section",
      "capability_id": "math.geometry.conic",
      "calculation_version": "1.1.0",
      "tier": "candidate",
      "input_schema": "https://www.calculatorx.com/schemas/math.geometry.conic.input.json",
      "output_schema": "https://www.calculatorx.com/schemas/math.geometry.conic.output.json",
      "evidence": "https://www.calculatorx.com/evidence/math.geometry.conic/1.1.0.json",
      "trust": {
        "engine_tested": false,
        "expert_reviewed": false,
        "internally_reviewed": false,
        "review_kind": null,
        "source_checked": true,
        "reviewed_by": null,
        "reviewer_role": null,
        "last_reviewed": null,
        "version_lock_supported": true,
        "expert_review_status": "optional_not_performed",
        "internal_review_status": "not_applicable"
      }
    },
    {
      "name": "vector",
      "engine": "vector",
      "description": "mode magnitude|normalize|add|sub|dot|cross|angle|projection|triple; u via ux,uy,uz; v via vx,vy,vz; triple also wx,wy,wz. uz/vz/wz default 0. Discovery /vector-magnitude, /vector-normalize, /vector-add, /vector-sub, /dot-product, /cross-product, /vector-angle, /vector-projection, /vector-triple. Not a matrix, not coordinate geometry, not CAS, not /add, not /subtraction, not /angle-between-lines.",
      "page": "https://www.calculatorx.com/calc/math/vector",
      "endpoint": "https://www.calculatorx.com/api/v1/calc/vector",
      "capability_id": "math.vector",
      "calculation_version": "1.8.0",
      "tier": "engine_tested",
      "input_schema": "https://www.calculatorx.com/schemas/math.vector.input.json",
      "output_schema": "https://www.calculatorx.com/schemas/math.vector.output.json",
      "evidence": "https://www.calculatorx.com/evidence/math.vector/1.8.0.json",
      "trust": {
        "engine_tested": true,
        "expert_reviewed": false,
        "internally_reviewed": false,
        "review_kind": null,
        "source_checked": true,
        "reviewed_by": null,
        "reviewer_role": null,
        "last_reviewed": null,
        "version_lock_supported": true,
        "expert_review_status": "optional_not_performed",
        "internal_review_status": "not_applicable"
      }
    },
    {
      "name": "solid-geometry",
      "engine": "solid-geometry",
      "description": "mode sphere|cylinder|cone|torus|frustum|prism|pyramid|tetrahedron|octahedron|icosahedron|dodecahedron|regular_prism|regular_pyramid|regular_frustum|ellipsoid|spherical_cap|spherical_zone|spherical_wedge|spherical_lune|spherical_sector; r; cylinder/cone h; torus R (major) with R>r; frustum R,r,h>0 (r=R recovers a cylinder); prism a,b,h>0 (a=b=h is a cube); pyramid a,b,h>0 (V=abh/3, apex above center); tetrahedron a>0 (regular, V=a³√2/12); octahedron a>0 (regular, V=(√2/3)a³); icosahedron a>0 (regular, V=(5/12)(3+√5)a³); dodecahedron a>0 (regular, V=(1/4)(15+7√5)a³); regular_prism n≥3, s,h>0 (base from math.geometry.plane; n=4 with s,s,h matches a square rectangular prism); regular_pyramid n≥3, s,h>0 (V=A h/3; n=4 matches a square rectangular pyramid); regular_frustum n≥3, s,t,h>0 (V=h/3(A+a+√(Aa)); s=t recovers a regular prism); ellipsoid a,b,c>0 (V=4/3 πabc; surface from spheroid closed forms or incomplete elliptic F,E; a=b=c is a sphere); spherical_cap r,h>0 with h≤2r (V=(1/3)πh²(3r−h); h=2r is a sphere, h=r is a hemisphere); spherical_zone a,b,h>0 (V=(πh/6)(3a²+3b²+h²); r recovered; a=b is symmetric); spherical_wedge r>0 and 0<θ≤360° (V=(2/3)r³θ with θ in radians; θ=180° is a hemisphere, θ=360° is a sphere); spherical_lune r>0 and 0<θ≤360° (A=2r²θ with θ in radians; θ=180° is a hemisphere surface, θ=360° is a sphere); spherical_sector r,h>0 with h≤2r (V=(2/3)πr²h; h=r is a hemisphere, h=2r is a sphere). Discovery /sphere, /cylinder, /cone, /torus, /frustum, /prism, /pyramid, /tetrahedron, /octahedron, /icosahedron, /dodecahedron, /regular-prism, /regular-pyramid, /regular-frustum, /ellipsoid, /spherical-cap, /spherical-zone, /spherical-wedge, /spherical-lune, /spherical-sector. Not the circle-only page, not a vector, not ISO 5167-5, not a sphere page, not CAS.",
      "page": "https://www.calculatorx.com/calc/math/solid-geometry",
      "endpoint": "https://www.calculatorx.com/api/v1/calc/solid-geometry",
      "capability_id": "math.geometry.solid",
      "calculation_version": "1.19.0",
      "tier": "candidate",
      "input_schema": "https://www.calculatorx.com/schemas/math.geometry.solid.agent.input.json",
      "output_schema": "https://www.calculatorx.com/schemas/math.geometry.solid.output.json",
      "evidence": "https://www.calculatorx.com/evidence/math.geometry.solid/1.19.0.json",
      "trust": {
        "engine_tested": false,
        "expert_reviewed": false,
        "internally_reviewed": false,
        "review_kind": null,
        "source_checked": true,
        "reviewed_by": null,
        "reviewer_role": null,
        "last_reviewed": null,
        "version_lock_supported": true,
        "expert_review_status": "optional_not_performed",
        "internal_review_status": "not_applicable"
      }
    },
    {
      "name": "plane-geometry",
      "engine": "plane-geometry",
      "description": "mode rectangle|square|regular_polygon|annulus|parallelogram|trapezoid|irregular_polygon; rectangle a,b; square s; regular_polygon n≥3 and s; annulus R>r; parallelogram a,b,θ∈(0°,180°); isosceles trapezoid a,b,h>0; irregular_polygon vertices 3–8 (shoelace). Discovery /rectangle, /square, /regular-polygon, /annulus, /parallelogram, /trapezoid, /irregular-polygon. Not the circle-only page, not a triangle solver, not solid geometry, not the fluid trapezoid, not /trapezoidal-rule, not /square-root, not CAS.",
      "page": "https://www.calculatorx.com/calc/math/plane-geometry",
      "endpoint": "https://www.calculatorx.com/api/v1/calc/plane-geometry",
      "capability_id": "math.geometry.plane",
      "calculation_version": "1.6.0",
      "tier": "engine_tested",
      "input_schema": "https://www.calculatorx.com/schemas/math.geometry.plane.input.json",
      "output_schema": "https://www.calculatorx.com/schemas/math.geometry.plane.output.json",
      "evidence": "https://www.calculatorx.com/evidence/math.geometry.plane/1.6.0.json",
      "trust": {
        "engine_tested": true,
        "expert_reviewed": false,
        "internally_reviewed": false,
        "review_kind": null,
        "source_checked": true,
        "reviewed_by": null,
        "reviewer_role": null,
        "last_reviewed": null,
        "version_lock_supported": true,
        "expert_review_status": "optional_not_performed",
        "internal_review_status": "not_applicable"
      }
    },
    {
      "name": "special-functions",
      "engine": "special-functions",
      "description": "mode erf|erfc|gamma|lgamma|bessel_j|bessel_y|bessel_i|bessel_k|lambert_w|lambert_wm1|beta|incomplete_beta|sinc|normalized_sinc; x; y for Beta (x>0, y>0); a,b for incomplete beta (a>0, b>0, 0≤x≤1); n for Bessel J/Y/I/K (integer 0–8, default 0). Discovery /error-function, /gamma-function, /bessel-function, /bessel-y, /bessel-i, /bessel-k, /lambert-w, /lambert-w-minus-1, /beta-function, /incomplete-beta, /sinc-function, /normalized-sinc. erfc and lgamma on the hub. Not factorial, not CAS.",
      "page": "https://www.calculatorx.com/calc/math/special-functions",
      "endpoint": "https://www.calculatorx.com/api/v1/calc/special-functions",
      "capability_id": "math.special",
      "calculation_version": "1.10.6",
      "tier": "candidate",
      "input_schema": "https://www.calculatorx.com/schemas/math.special.agent.input.json",
      "output_schema": "https://www.calculatorx.com/schemas/math.special.output.json",
      "evidence": "https://www.calculatorx.com/evidence/math.special/1.10.6.json",
      "trust": {
        "engine_tested": false,
        "expert_reviewed": false,
        "internally_reviewed": false,
        "review_kind": null,
        "source_checked": true,
        "reviewed_by": null,
        "reviewer_role": null,
        "last_reviewed": null,
        "version_lock_supported": true,
        "expert_review_status": "optional_not_performed",
        "internal_review_status": "not_applicable"
      }
    },
    {
      "name": "coordinate-geometry",
      "engine": "coordinate-geometry",
      "description": "mode distance|midpoint|slope|line|point_line|intersect|angle; x1, y1, x2, y2; point_line also x0, y0; intersect/angle also x3, y3, x4, y4. Slope is not share-key m. Discovery /line-equation, /point-line-distance, /line-intersection, /angle-between-lines. Not Pythagorean, not CAS.",
      "page": "https://www.calculatorx.com/calc/math/coordinate-geometry",
      "endpoint": "https://www.calculatorx.com/api/v1/calc/coordinate-geometry",
      "capability_id": "math.geometry.coordinate",
      "calculation_version": "1.8.0",
      "tier": "engine_tested",
      "input_schema": "https://www.calculatorx.com/schemas/math.geometry.coordinate.input.json",
      "output_schema": "https://www.calculatorx.com/schemas/math.geometry.coordinate.output.json",
      "evidence": "https://www.calculatorx.com/evidence/math.geometry.coordinate/1.8.0.json",
      "trust": {
        "engine_tested": true,
        "expert_reviewed": false,
        "internally_reviewed": false,
        "review_kind": null,
        "source_checked": true,
        "reviewed_by": null,
        "reviewer_role": null,
        "last_reviewed": null,
        "version_lock_supported": true,
        "expert_review_status": "optional_not_performed",
        "internal_review_status": "not_applicable"
      }
    },
    {
      "name": "numerical-root",
      "engine": "numerical-root",
      "description": "method newton|bisection|secant; integrand poly|sin (exp returns NO_CONVERGENCE because e^x has no finite real zero); coeffs for poly; x0; a,b for bisection; x1 for secant. Discovery: /nonlinear-equation. Not nth-root, not CAS, not a system.",
      "page": "https://www.calculatorx.com/calc/math/numerical-root",
      "endpoint": "https://www.calculatorx.com/api/v1/calc/numerical-root",
      "capability_id": "math.numerical.root",
      "calculation_version": "1.1.6",
      "tier": "engine_tested",
      "input_schema": "https://www.calculatorx.com/schemas/math.numerical.root.input.json",
      "output_schema": "https://www.calculatorx.com/schemas/math.numerical.root.output.json",
      "evidence": "https://www.calculatorx.com/evidence/math.numerical.root/1.1.6.json",
      "trust": {
        "engine_tested": true,
        "expert_reviewed": false,
        "internally_reviewed": false,
        "review_kind": null,
        "source_checked": true,
        "reviewed_by": null,
        "reviewer_role": null,
        "last_reviewed": null,
        "version_lock_supported": true,
        "expert_review_status": "optional_not_performed",
        "internal_review_status": "not_applicable"
      }
    },
    {
      "name": "definite-integral",
      "engine": "definite-integral",
      "description": "method simpson|trapezoid|gauss; integrand poly|sin|exp; a, b, n; coeffs for poly. Discovery: /simpson-rule, /trapezoidal-rule, /gauss-quadrature. Not indefinite CAS.",
      "page": "https://www.calculatorx.com/calc/math/definite-integral",
      "endpoint": "https://www.calculatorx.com/api/v1/calc/definite-integral",
      "capability_id": "math.numerical.definite_integral",
      "calculation_version": "1.1.5",
      "tier": "engine_tested",
      "input_schema": "https://www.calculatorx.com/schemas/math.numerical.definite_integral.input.json",
      "output_schema": "https://www.calculatorx.com/schemas/math.numerical.definite_integral.output.json",
      "evidence": "https://www.calculatorx.com/evidence/math.numerical.definite_integral/1.1.5.json",
      "trust": {
        "engine_tested": true,
        "expert_reviewed": false,
        "internally_reviewed": false,
        "review_kind": null,
        "source_checked": true,
        "reviewed_by": null,
        "reviewer_role": null,
        "last_reviewed": null,
        "version_lock_supported": true,
        "expert_review_status": "optional_not_performed",
        "internal_review_status": "not_applicable"
      }
    },
    {
      "name": "numerical-interpolation",
      "engine": "numerical-interpolation",
      "description": "method linear|lagrange|spline; x; points x,y; x,y or x0,y0,x1,y1; extrapolate. Discovery: /spline-interpolation. Not regression, not Akima.",
      "page": "https://www.calculatorx.com/calc/math/numerical-interpolation",
      "endpoint": "https://www.calculatorx.com/api/v1/calc/numerical-interpolation",
      "capability_id": "math.numerical.interpolate",
      "calculation_version": "1.1.6",
      "tier": "engine_tested",
      "input_schema": "https://www.calculatorx.com/schemas/math.numerical.interpolate.input.json",
      "output_schema": "https://www.calculatorx.com/schemas/math.numerical.interpolate.output.json",
      "evidence": "https://www.calculatorx.com/evidence/math.numerical.interpolate/1.1.6.json",
      "trust": {
        "engine_tested": true,
        "expert_reviewed": false,
        "internally_reviewed": false,
        "review_kind": null,
        "source_checked": true,
        "reviewed_by": null,
        "reviewer_role": null,
        "last_reviewed": null,
        "version_lock_supported": true,
        "expert_review_status": "optional_not_performed",
        "internal_review_status": "not_applicable"
      }
    },
    {
      "name": "numerical-derivative",
      "engine": "numerical-derivative",
      "description": "method central|forward|backward|limit; integrand poly|sin|exp; x; h?; coeffs for poly. Discovery: /two-sided-limit. Not symbolic d/dx, not one-sided, not L'Hôpital.",
      "page": "https://www.calculatorx.com/calc/math/numerical-derivative",
      "endpoint": "https://www.calculatorx.com/api/v1/calc/numerical-derivative",
      "capability_id": "math.numerical.derivative",
      "calculation_version": "1.1.4",
      "tier": "engine_tested",
      "input_schema": "https://www.calculatorx.com/schemas/math.numerical.derivative.input.json",
      "output_schema": "https://www.calculatorx.com/schemas/math.numerical.derivative.output.json",
      "evidence": "https://www.calculatorx.com/evidence/math.numerical.derivative/1.1.4.json",
      "trust": {
        "engine_tested": true,
        "expert_reviewed": false,
        "internally_reviewed": false,
        "review_kind": null,
        "source_checked": true,
        "reviewed_by": null,
        "reviewer_role": null,
        "last_reviewed": null,
        "version_lock_supported": true,
        "expert_review_status": "optional_not_performed",
        "internal_review_status": "not_applicable"
      }
    },
    {
      "name": "one-dimensional-optimization",
      "engine": "one-dimensional-optimization",
      "description": "method golden|brent; integrand poly|sin|exp; a, b; tol?; coeffs for poly. Discovery: /golden-section, /brent-method. Not multivariate, not max, not CAS.",
      "page": "https://www.calculatorx.com/calc/math/one-dimensional-optimization",
      "endpoint": "https://www.calculatorx.com/api/v1/calc/one-dimensional-optimization",
      "capability_id": "math.numerical.optimize_1d",
      "calculation_version": "1.0.5",
      "tier": "engine_tested",
      "input_schema": "https://www.calculatorx.com/schemas/math.numerical.optimize_1d.input.json",
      "output_schema": "https://www.calculatorx.com/schemas/math.numerical.optimize_1d.output.json",
      "evidence": "https://www.calculatorx.com/evidence/math.numerical.optimize_1d/1.0.5.json",
      "trust": {
        "engine_tested": true,
        "expert_reviewed": false,
        "internally_reviewed": false,
        "review_kind": null,
        "source_checked": true,
        "reviewed_by": null,
        "reviewer_role": null,
        "last_reviewed": null,
        "version_lock_supported": true,
        "expert_review_status": "optional_not_performed",
        "internal_review_status": "not_applicable"
      }
    },
    {
      "name": "ordinary-differential-equation",
      "engine": "ordinary-differential-equation",
      "description": "method euler|rk4; rhs linear|poly; y0, t0, t1; n?; k for linear; coeffs for poly. Discovery: /euler-method, /runge-kutta. Not rk45, not systems, not PDE, not CAS.",
      "page": "https://www.calculatorx.com/calc/math/ordinary-differential-equation",
      "endpoint": "https://www.calculatorx.com/api/v1/calc/ordinary-differential-equation",
      "capability_id": "math.numerical.ode",
      "calculation_version": "1.1.1",
      "tier": "engine_tested",
      "input_schema": "https://www.calculatorx.com/schemas/math.numerical.ode.input.json",
      "output_schema": "https://www.calculatorx.com/schemas/math.numerical.ode.output.json",
      "evidence": "https://www.calculatorx.com/evidence/math.numerical.ode/1.1.1.json",
      "trust": {
        "engine_tested": true,
        "expert_reviewed": false,
        "internally_reviewed": false,
        "review_kind": null,
        "source_checked": true,
        "reviewed_by": null,
        "reviewer_role": null,
        "last_reviewed": null,
        "version_lock_supported": true,
        "expert_review_status": "optional_not_performed",
        "internal_review_status": "not_applicable"
      }
    },
    {
      "name": "discrete-fourier-transform",
      "engine": "discrete-fourier-transform",
      "description": "mode dft|idft|fft|ifft; samples (or x) real list; optional im of the same length. N≤64. FFT requires N=2^k. Numpy backward: unnormalized forward, 1/N inverse. Discovery /dft, /inverse-dft, /fft, /ifft. Not Laplace, not Z, not CAS.",
      "page": "https://www.calculatorx.com/calc/math/discrete-fourier-transform",
      "endpoint": "https://www.calculatorx.com/api/v1/calc/discrete-fourier-transform",
      "capability_id": "math.transform.dft",
      "calculation_version": "1.2.3",
      "tier": "engine_tested",
      "input_schema": "https://www.calculatorx.com/schemas/math.transform.dft.agent.input.json",
      "output_schema": "https://www.calculatorx.com/schemas/math.transform.dft.output.json",
      "evidence": "https://www.calculatorx.com/evidence/math.transform.dft/1.2.3.json",
      "trust": {
        "engine_tested": true,
        "expert_reviewed": false,
        "internally_reviewed": false,
        "review_kind": null,
        "source_checked": true,
        "reviewed_by": null,
        "reviewer_role": null,
        "last_reviewed": null,
        "version_lock_supported": true,
        "expert_review_status": "optional_not_performed",
        "internal_review_status": "not_applicable"
      }
    },
    {
      "name": "laplace-transform",
      "engine": "laplace-transform",
      "description": "mode laplace|inverse; f exp|sin|cos|step|ramp|power|exp_sin|exp_cos; s for forward, t for inverse; a, omega, n as needed. Unilateral table. Discovery /inverse-laplace. Not DFT, not Z, not Bromwich, not CAS.",
      "page": "https://www.calculatorx.com/calc/math/laplace-transform",
      "endpoint": "https://www.calculatorx.com/api/v1/calc/laplace-transform",
      "capability_id": "math.transform.laplace",
      "calculation_version": "1.0.4",
      "tier": "engine_tested",
      "input_schema": "https://www.calculatorx.com/schemas/math.transform.laplace.agent.input.json",
      "output_schema": "https://www.calculatorx.com/schemas/math.transform.laplace.output.json",
      "evidence": "https://www.calculatorx.com/evidence/math.transform.laplace/1.0.4.json",
      "trust": {
        "engine_tested": true,
        "expert_reviewed": false,
        "internally_reviewed": false,
        "review_kind": null,
        "source_checked": true,
        "reviewed_by": null,
        "reviewer_role": null,
        "last_reviewed": null,
        "version_lock_supported": true,
        "expert_review_status": "optional_not_performed",
        "internal_review_status": "not_applicable"
      }
    },
    {
      "name": "z-transform",
      "engine": "z-transform",
      "description": "mode z|inverse; f geom|step|ramp|n_geom|sin|cos|geom_sin|geom_cos; z for forward, n for inverse; a, omega as needed. Unilateral table. Discovery /inverse-z. Not DFT, not Laplace, not residue, not CAS.",
      "page": "https://www.calculatorx.com/calc/math/z-transform",
      "endpoint": "https://www.calculatorx.com/api/v1/calc/z-transform",
      "capability_id": "math.transform.z",
      "calculation_version": "1.0.5",
      "tier": "engine_tested",
      "input_schema": "https://www.calculatorx.com/schemas/math.transform.z.agent.input.json",
      "output_schema": "https://www.calculatorx.com/schemas/math.transform.z.output.json",
      "evidence": "https://www.calculatorx.com/evidence/math.transform.z/1.0.5.json",
      "trust": {
        "engine_tested": true,
        "expert_reviewed": false,
        "internally_reviewed": false,
        "review_kind": null,
        "source_checked": true,
        "reviewed_by": null,
        "reviewer_role": null,
        "last_reviewed": null,
        "version_lock_supported": true,
        "expert_review_status": "optional_not_performed",
        "internal_review_status": "not_applicable"
      }
    },
    {
      "name": "amps-kw",
      "engine": "amps-kw",
      "description": "mode a-kw|kw-a; current_a|power_kw, voltage_v; system dc|ac_single|ac_three; power_factor for AC",
      "page": "https://www.calculatorx.com/calc/electric/amps-to-kw",
      "endpoint": "https://www.calculatorx.com/api/v1/calc/amps-kw"
    },
    {
      "name": "amps-volts",
      "engine": "amps-volts",
      "description": "mode a-v-ohm|a-v-watt|v-a-ohm|v-a-watt; current|resistance|power|voltage; system dc|ac_single|ac_three on watts; power_factor required for AC, omitted for DC",
      "page": "https://www.calculatorx.com/calc/electric/amps-to-volts",
      "endpoint": "https://www.calculatorx.com/api/v1/calc/amps-volts"
    },
    {
      "name": "volts-kw",
      "engine": "volts-kw",
      "description": "mode v-kw|kw-v; a/V|P_kW, b/I; phase; pf∈(0,1]",
      "page": "https://www.calculatorx.com/calc/electric/volts-to-kw",
      "endpoint": "https://www.calculatorx.com/api/v1/calc/volts-kw"
    },
    {
      "name": "kva-amps",
      "engine": "kva-amps",
      "description": "mode kva-a|a-kva; a/kVA|I, b/V; phase (no PF)",
      "page": "https://www.calculatorx.com/calc/electric/kva-to-amps",
      "endpoint": "https://www.calculatorx.com/api/v1/calc/kva-amps"
    },
    {
      "name": "kva-kw",
      "engine": "kva-kw",
      "description": "mode kva-kw|kw-kva; a; pf∈(0,1]",
      "page": "https://www.calculatorx.com/calc/electric/kva-to-kw",
      "endpoint": "https://www.calculatorx.com/api/v1/calc/kva-kw"
    },
    {
      "name": "kw-va",
      "engine": "kw-va",
      "description": "mode kw-va|va-kw; a; pf∈(0,1]",
      "page": "https://www.calculatorx.com/calc/electric/kw-to-va",
      "endpoint": "https://www.calculatorx.com/api/v1/calc/kw-va"
    },
    {
      "name": "cantilever-moment-tip",
      "engine": "cantilever-moment-tip",
      "description": "M; a; L; E; I. Cantilever, moment at distance a from the fixed end. Deflection at the free end. I is an input",
      "page": "https://www.calculatorx.com/calc/physics/cantilever-moment-tip",
      "endpoint": "https://www.calculatorx.com/api/v1/calc/cantilever-moment-tip"
    },
    {
      "name": "cantilever-partial-tip",
      "engine": "cantilever-partial-tip",
      "description": "w; a; L; E; I. Cantilever, uniform load from the fixed end to a. Deflection at the free end. I is an input",
      "page": "https://www.calculatorx.com/calc/physics/cantilever-partial-tip",
      "endpoint": "https://www.calculatorx.com/api/v1/calc/cantilever-partial-tip"
    },
    {
      "name": "cantilever-load-at-partial-at",
      "engine": "cantilever-load-at-partial-at",
      "description": "P; w; a; x; L; E; I. Intermediate load plus distributed. Deflection at x. I is an input",
      "page": "https://www.calculatorx.com/calc/mechanical/cantilever-load-at-partial-at",
      "endpoint": "https://www.calculatorx.com/api/v1/calc/cantilever-load-at-partial-at"
    },
    {
      "name": "cantilever-load-at-partial-moment-at",
      "engine": "cantilever-load-at-partial-moment-at",
      "description": "P; Mt; w; a; x; L; E; I. Intermediate load plus distributed. Deflection at x. I is an input",
      "page": "https://www.calculatorx.com/calc/mechanical/cantilever-load-at-partial-moment-at",
      "endpoint": "https://www.calculatorx.com/api/v1/calc/cantilever-load-at-partial-moment-at"
    },
    {
      "name": "cantilever-load-at-outer-at",
      "engine": "cantilever-load-at-outer-at",
      "description": "P; w; a; x; L; E; I. Intermediate load plus distributed. Deflection at x. I is an input",
      "page": "https://www.calculatorx.com/calc/mechanical/cantilever-load-at-outer-at",
      "endpoint": "https://www.calculatorx.com/api/v1/calc/cantilever-load-at-outer-at"
    },
    {
      "name": "cantilever-load-at-outer-moment-at",
      "engine": "cantilever-load-at-outer-moment-at",
      "description": "P; Mt; w; a; x; L; E; I. Intermediate load plus distributed. Deflection at x. I is an input",
      "page": "https://www.calculatorx.com/calc/mechanical/cantilever-load-at-outer-moment-at",
      "endpoint": "https://www.calculatorx.com/api/v1/calc/cantilever-load-at-outer-moment-at"
    },
    {
      "name": "cantilever-load-at-partial-tip-at",
      "engine": "cantilever-load-at-partial-tip-at",
      "description": "P; Pt; w; a; x; L; E; I. Intermediate load plus distributed plus tip. Deflection at x. I is an input",
      "page": "https://www.calculatorx.com/calc/mechanical/cantilever-load-at-partial-tip-at",
      "endpoint": "https://www.calculatorx.com/api/v1/calc/cantilever-load-at-partial-tip-at"
    },
    {
      "name": "cantilever-load-at-partial-tip-moment-at",
      "engine": "cantilever-load-at-partial-tip-moment-at",
      "description": "P; Pt; Mt; w; a; x; L; E; I. Intermediate load plus distributed plus tip. Deflection at x. I is an input",
      "page": "https://www.calculatorx.com/calc/mechanical/cantilever-load-at-partial-tip-moment-at",
      "endpoint": "https://www.calculatorx.com/api/v1/calc/cantilever-load-at-partial-tip-moment-at"
    },
    {
      "name": "cantilever-load-at-outer-tip-at",
      "engine": "cantilever-load-at-outer-tip-at",
      "description": "P; Pt; w; a; x; L; E; I. Intermediate load plus distributed plus tip. Deflection at x. I is an input",
      "page": "https://www.calculatorx.com/calc/mechanical/cantilever-load-at-outer-tip-at",
      "endpoint": "https://www.calculatorx.com/api/v1/calc/cantilever-load-at-outer-tip-at"
    },
    {
      "name": "cantilever-load-at-outer-tip-moment-at",
      "engine": "cantilever-load-at-outer-tip-moment-at",
      "description": "P; Pt; Mt; w; a; x; L; E; I. Intermediate load plus distributed plus tip. Deflection at x. I is an input",
      "page": "https://www.calculatorx.com/calc/mechanical/cantilever-load-at-outer-tip-moment-at",
      "endpoint": "https://www.calculatorx.com/api/v1/calc/cantilever-load-at-outer-tip-moment-at"
    },
    {
      "name": "cantilever-load-at-uniform-at",
      "engine": "cantilever-load-at-uniform-at",
      "description": "P; w; a; x; L; E; I. Intermediate load plus full uniform. Deflection at x. I is an input",
      "page": "https://www.calculatorx.com/calc/mechanical/cantilever-load-at-uniform-at",
      "endpoint": "https://www.calculatorx.com/api/v1/calc/cantilever-load-at-uniform-at"
    },
    {
      "name": "cantilever-load-at-uniform-moment-at",
      "engine": "cantilever-load-at-uniform-moment-at",
      "description": "P; Mt; w; a; x; L; E; I. Intermediate load plus full uniform. Deflection at x. I is an input",
      "page": "https://www.calculatorx.com/calc/mechanical/cantilever-load-at-uniform-moment-at",
      "endpoint": "https://www.calculatorx.com/api/v1/calc/cantilever-load-at-uniform-moment-at"
    },
    {
      "name": "cantilever-load-at-uniform-tip-at",
      "engine": "cantilever-load-at-uniform-tip-at",
      "description": "P; Pt; w; a; x; L; E; I. Intermediate load plus full uniform plus tip. Deflection at x. I is an input",
      "page": "https://www.calculatorx.com/calc/mechanical/cantilever-load-at-uniform-tip-at",
      "endpoint": "https://www.calculatorx.com/api/v1/calc/cantilever-load-at-uniform-tip-at"
    },
    {
      "name": "cantilever-load-at-uniform-tip-moment-at",
      "engine": "cantilever-load-at-uniform-tip-moment-at",
      "description": "P; Pt; Mt; w; a; x; L; E; I. Intermediate load plus full uniform plus tip. Deflection at x. I is an input",
      "page": "https://www.calculatorx.com/calc/mechanical/cantilever-load-at-uniform-tip-moment-at",
      "endpoint": "https://www.calculatorx.com/api/v1/calc/cantilever-load-at-uniform-tip-moment-at"
    },
    {
      "name": "cantilever-load-at-tip-at",
      "engine": "cantilever-load-at-tip-at",
      "description": "P; Pt; a; x; L; E; I. Intermediate load plus tip. Deflection at x. I is an input",
      "page": "https://www.calculatorx.com/calc/mechanical/cantilever-load-at-tip-at",
      "endpoint": "https://www.calculatorx.com/api/v1/calc/cantilever-load-at-tip-at"
    },
    {
      "name": "cantilever-load-at-tip-moment-at",
      "engine": "cantilever-load-at-tip-moment-at",
      "description": "P; Pt; Mt; a; x; L; E; I. Intermediate load plus tip. Deflection at x. I is an input",
      "page": "https://www.calculatorx.com/calc/mechanical/cantilever-load-at-tip-moment-at",
      "endpoint": "https://www.calculatorx.com/api/v1/calc/cantilever-load-at-tip-moment-at"
    },
    {
      "name": "cantilever-moment-at-tip-at",
      "engine": "cantilever-moment-at-tip-at",
      "description": "M; P; a; x; L; E; I. Intermediate moment plus tip. Deflection at x. I is an input",
      "page": "https://www.calculatorx.com/calc/mechanical/cantilever-moment-at-tip-at",
      "endpoint": "https://www.calculatorx.com/api/v1/calc/cantilever-moment-at-tip-at"
    },
    {
      "name": "cantilever-moment-at-tip-moment-at",
      "engine": "cantilever-moment-at-tip-moment-at",
      "description": "M; P; Mt; a; x; L; E; I. Intermediate moment plus tip. Deflection at x. I is an input",
      "page": "https://www.calculatorx.com/calc/mechanical/cantilever-moment-at-tip-moment-at",
      "endpoint": "https://www.calculatorx.com/api/v1/calc/cantilever-moment-at-tip-moment-at"
    },
    {
      "name": "cantilever-uniform-tip-at",
      "engine": "cantilever-uniform-tip-at",
      "description": "w; P; x; L; E; I. Full uniform plus tip. Deflection at x. I is an input",
      "page": "https://www.calculatorx.com/workspace/beam",
      "endpoint": "https://www.calculatorx.com/api/v1/calc/cantilever-uniform-tip-at"
    },
    {
      "name": "cantilever-uniform-tip-moment-at",
      "engine": "cantilever-uniform-tip-moment-at",
      "description": "w; P; Mt; x; L; E; I. Full uniform plus tip. Deflection at x. I is an input",
      "page": "https://www.calculatorx.com/workspace/beam",
      "endpoint": "https://www.calculatorx.com/api/v1/calc/cantilever-uniform-tip-moment-at"
    },
    {
      "name": "cantilever-load-at-moment-at",
      "engine": "cantilever-load-at-moment-at",
      "description": "P; Mt; a; x; L; E; I. Intermediate load plus tip moment. Deflection at x. I is an input",
      "page": "https://www.calculatorx.com/calc/mechanical/cantilever-load-at-moment-at",
      "endpoint": "https://www.calculatorx.com/api/v1/calc/cantilever-load-at-moment-at"
    },
    {
      "name": "cantilever-moment-at-moment-at",
      "engine": "cantilever-moment-at-moment-at",
      "description": "M; Mt; a; x; L; E; I. Intermediate moment plus tip moment. Deflection at x. I is an input",
      "page": "https://www.calculatorx.com/calc/mechanical/cantilever-moment-at-moment-at",
      "endpoint": "https://www.calculatorx.com/api/v1/calc/cantilever-moment-at-moment-at"
    },
    {
      "name": "cantilever-moment-at-uniform-at",
      "engine": "cantilever-moment-at-uniform-at",
      "description": "M; w; a; x; L; E; I. Intermediate moment plus full uniform. Deflection at x. I is an input",
      "page": "https://www.calculatorx.com/calc/mechanical/cantilever-moment-at-uniform-at",
      "endpoint": "https://www.calculatorx.com/api/v1/calc/cantilever-moment-at-uniform-at"
    },
    {
      "name": "cantilever-moment-at-uniform-moment-at",
      "engine": "cantilever-moment-at-uniform-moment-at",
      "description": "M; Mt; w; a; x; L; E; I. Intermediate moment plus full uniform. Deflection at x. I is an input",
      "page": "https://www.calculatorx.com/calc/mechanical/cantilever-moment-at-uniform-moment-at",
      "endpoint": "https://www.calculatorx.com/api/v1/calc/cantilever-moment-at-uniform-moment-at"
    },
    {
      "name": "cantilever-moment-at-uniform-tip-at",
      "engine": "cantilever-moment-at-uniform-tip-at",
      "description": "M; P; w; a; x; L; E; I. Intermediate moment plus full uniform plus tip. Deflection at x. I is an input",
      "page": "https://www.calculatorx.com/calc/mechanical/cantilever-moment-at-uniform-tip-at",
      "endpoint": "https://www.calculatorx.com/api/v1/calc/cantilever-moment-at-uniform-tip-at"
    },
    {
      "name": "cantilever-moment-at-uniform-tip-moment-at",
      "engine": "cantilever-moment-at-uniform-tip-moment-at",
      "description": "M; P; Mt; w; a; x; L; E; I. Intermediate moment plus full uniform plus tip. Deflection at x. I is an input",
      "page": "https://www.calculatorx.com/calc/mechanical/cantilever-moment-at-uniform-tip-moment-at",
      "endpoint": "https://www.calculatorx.com/api/v1/calc/cantilever-moment-at-uniform-tip-moment-at"
    },
    {
      "name": "cantilever-moment-at-partial-at",
      "engine": "cantilever-moment-at-partial-at",
      "description": "M; w; a; x; L; E; I. Intermediate moment plus partial uniform. Deflection at x. I is an input",
      "page": "https://www.calculatorx.com/calc/mechanical/cantilever-moment-at-partial-at",
      "endpoint": "https://www.calculatorx.com/api/v1/calc/cantilever-moment-at-partial-at"
    },
    {
      "name": "cantilever-moment-at-partial-moment-at",
      "engine": "cantilever-moment-at-partial-moment-at",
      "description": "M; Mt; w; a; x; L; E; I. Intermediate moment plus partial uniform. Deflection at x. I is an input",
      "page": "https://www.calculatorx.com/calc/mechanical/cantilever-moment-at-partial-moment-at",
      "endpoint": "https://www.calculatorx.com/api/v1/calc/cantilever-moment-at-partial-moment-at"
    },
    {
      "name": "cantilever-moment-at-outer-at",
      "engine": "cantilever-moment-at-outer-at",
      "description": "M; w; a; x; L; E; I. Intermediate moment plus outer uniform. Deflection at x. I is an input",
      "page": "https://www.calculatorx.com/calc/mechanical/cantilever-moment-at-outer-at",
      "endpoint": "https://www.calculatorx.com/api/v1/calc/cantilever-moment-at-outer-at"
    },
    {
      "name": "cantilever-moment-at-outer-moment-at",
      "engine": "cantilever-moment-at-outer-moment-at",
      "description": "M; Mt; w; a; x; L; E; I. Intermediate moment plus outer uniform. Deflection at x. I is an input",
      "page": "https://www.calculatorx.com/calc/mechanical/cantilever-moment-at-outer-moment-at",
      "endpoint": "https://www.calculatorx.com/api/v1/calc/cantilever-moment-at-outer-moment-at"
    },
    {
      "name": "cantilever-moment-at-partial-tip-at",
      "engine": "cantilever-moment-at-partial-tip-at",
      "description": "M; P; w; a; x; L; E; I. Intermediate moment plus partial uniform plus tip. Deflection at x. I is an input",
      "page": "https://www.calculatorx.com/calc/mechanical/cantilever-moment-at-partial-tip-at",
      "endpoint": "https://www.calculatorx.com/api/v1/calc/cantilever-moment-at-partial-tip-at"
    },
    {
      "name": "cantilever-moment-at-partial-tip-moment-at",
      "engine": "cantilever-moment-at-partial-tip-moment-at",
      "description": "M; P; Mt; w; a; x; L; E; I. Intermediate moment plus partial uniform plus tip. Deflection at x. I is an input",
      "page": "https://www.calculatorx.com/calc/mechanical/cantilever-moment-at-partial-tip-moment-at",
      "endpoint": "https://www.calculatorx.com/api/v1/calc/cantilever-moment-at-partial-tip-moment-at"
    },
    {
      "name": "cantilever-moment-at-outer-tip-at",
      "engine": "cantilever-moment-at-outer-tip-at",
      "description": "M; P; w; a; x; L; E; I. Intermediate moment plus outer uniform plus tip. Deflection at x. I is an input",
      "page": "https://www.calculatorx.com/calc/mechanical/cantilever-moment-at-outer-tip-at",
      "endpoint": "https://www.calculatorx.com/api/v1/calc/cantilever-moment-at-outer-tip-at"
    },
    {
      "name": "cantilever-moment-at-outer-tip-moment-at",
      "engine": "cantilever-moment-at-outer-tip-moment-at",
      "description": "M; P; Mt; w; a; x; L; E; I. Intermediate moment plus outer uniform plus tip. Deflection at x. I is an input",
      "page": "https://www.calculatorx.com/calc/mechanical/cantilever-moment-at-outer-tip-moment-at",
      "endpoint": "https://www.calculatorx.com/api/v1/calc/cantilever-moment-at-outer-tip-moment-at"
    },
    {
      "name": "cantilever-load-at-moment-at-partial-at",
      "engine": "cantilever-load-at-moment-at-partial-at",
      "description": "P; M; w; a; x; L; E; I. Intermediate load plus intermediate moment. Deflection at x. I is an input",
      "page": "https://www.calculatorx.com/calc/mechanical/cantilever-load-at-moment-at-partial-at",
      "endpoint": "https://www.calculatorx.com/api/v1/calc/cantilever-load-at-moment-at-partial-at"
    },
    {
      "name": "cantilever-load-at-moment-at-partial-moment-at",
      "engine": "cantilever-load-at-moment-at-partial-moment-at",
      "description": "P; M; Mt; w; a; x; L; E; I. Intermediate load plus intermediate moment. Deflection at x. I is an input",
      "page": "https://www.calculatorx.com/calc/mechanical/cantilever-load-at-moment-at-partial-moment-at",
      "endpoint": "https://www.calculatorx.com/api/v1/calc/cantilever-load-at-moment-at-partial-moment-at"
    },
    {
      "name": "cantilever-load-at-moment-at-outer-at",
      "engine": "cantilever-load-at-moment-at-outer-at",
      "description": "P; M; w; a; x; L; E; I. Intermediate load plus intermediate moment. Deflection at x. I is an input",
      "page": "https://www.calculatorx.com/calc/mechanical/cantilever-load-at-moment-at-outer-at",
      "endpoint": "https://www.calculatorx.com/api/v1/calc/cantilever-load-at-moment-at-outer-at"
    },
    {
      "name": "cantilever-load-at-moment-at-outer-moment-at",
      "engine": "cantilever-load-at-moment-at-outer-moment-at",
      "description": "P; M; Mt; w; a; x; L; E; I. Intermediate load plus intermediate moment. Deflection at x. I is an input",
      "page": "https://www.calculatorx.com/calc/mechanical/cantilever-load-at-moment-at-outer-moment-at",
      "endpoint": "https://www.calculatorx.com/api/v1/calc/cantilever-load-at-moment-at-outer-moment-at"
    },
    {
      "name": "cantilever-load-at-moment-at-partial-tip-at",
      "engine": "cantilever-load-at-moment-at-partial-tip-at",
      "description": "P; Pt; M; w; a; x; L; E; I. Intermediate load plus intermediate moment. Deflection at x. I is an input",
      "page": "https://www.calculatorx.com/calc/mechanical/cantilever-load-at-moment-at-partial-tip-at",
      "endpoint": "https://www.calculatorx.com/api/v1/calc/cantilever-load-at-moment-at-partial-tip-at"
    },
    {
      "name": "cantilever-load-at-moment-at-partial-tip-moment-at",
      "engine": "cantilever-load-at-moment-at-partial-tip-moment-at",
      "description": "P; Pt; M; Mt; w; a; x; L; E; I. Intermediate load plus intermediate moment. Deflection at x. I is an input",
      "page": "https://www.calculatorx.com/calc/mechanical/cantilever-load-at-moment-at-partial-tip-moment-at",
      "endpoint": "https://www.calculatorx.com/api/v1/calc/cantilever-load-at-moment-at-partial-tip-moment-at"
    },
    {
      "name": "cantilever-load-at-moment-at-outer-tip-at",
      "engine": "cantilever-load-at-moment-at-outer-tip-at",
      "description": "P; Pt; M; w; a; x; L; E; I. Intermediate load plus intermediate moment. Deflection at x. I is an input",
      "page": "https://www.calculatorx.com/calc/mechanical/cantilever-load-at-moment-at-outer-tip-at",
      "endpoint": "https://www.calculatorx.com/api/v1/calc/cantilever-load-at-moment-at-outer-tip-at"
    },
    {
      "name": "cantilever-load-at-moment-at-outer-tip-moment-at",
      "engine": "cantilever-load-at-moment-at-outer-tip-moment-at",
      "description": "P; Pt; M; Mt; w; a; x; L; E; I. Intermediate load plus intermediate moment. Deflection at x. I is an input",
      "page": "https://www.calculatorx.com/calc/mechanical/cantilever-load-at-moment-at-outer-tip-moment-at",
      "endpoint": "https://www.calculatorx.com/api/v1/calc/cantilever-load-at-moment-at-outer-tip-moment-at"
    },
    {
      "name": "cantilever-load-at-moment-at-uniform-at",
      "engine": "cantilever-load-at-moment-at-uniform-at",
      "description": "P; M; w; a; x; L; E; I. Intermediate load plus intermediate moment. Deflection at x. I is an input",
      "page": "https://www.calculatorx.com/calc/mechanical/cantilever-load-at-moment-at-uniform-at",
      "endpoint": "https://www.calculatorx.com/api/v1/calc/cantilever-load-at-moment-at-uniform-at"
    },
    {
      "name": "cantilever-load-at-moment-at-uniform-moment-at",
      "engine": "cantilever-load-at-moment-at-uniform-moment-at",
      "description": "P; M; Mt; w; a; x; L; E; I. Intermediate load plus intermediate moment. Deflection at x. I is an input",
      "page": "https://www.calculatorx.com/calc/mechanical/cantilever-load-at-moment-at-uniform-moment-at",
      "endpoint": "https://www.calculatorx.com/api/v1/calc/cantilever-load-at-moment-at-uniform-moment-at"
    },
    {
      "name": "cantilever-load-at-moment-at-uniform-tip-at",
      "engine": "cantilever-load-at-moment-at-uniform-tip-at",
      "description": "P; Pt; M; w; a; x; L; E; I. Intermediate load plus intermediate moment. Deflection at x. I is an input",
      "page": "https://www.calculatorx.com/calc/mechanical/cantilever-load-at-moment-at-uniform-tip-at",
      "endpoint": "https://www.calculatorx.com/api/v1/calc/cantilever-load-at-moment-at-uniform-tip-at"
    },
    {
      "name": "cantilever-load-at-moment-at-uniform-tip-moment-at",
      "engine": "cantilever-load-at-moment-at-uniform-tip-moment-at",
      "description": "P; Pt; M; Mt; w; a; x; L; E; I. Intermediate load plus intermediate moment. Deflection at x. I is an input",
      "page": "https://www.calculatorx.com/calc/mechanical/cantilever-load-at-moment-at-uniform-tip-moment-at",
      "endpoint": "https://www.calculatorx.com/api/v1/calc/cantilever-load-at-moment-at-uniform-tip-moment-at"
    },
    {
      "name": "cantilever-load-at-intermediate-moment-at",
      "engine": "cantilever-load-at-intermediate-moment-at",
      "description": "P; M; a; x; L; E; I. Intermediate load plus intermediate moment. Deflection at x. I is an input",
      "page": "https://www.calculatorx.com/calc/mechanical/cantilever-load-at-intermediate-moment-at",
      "endpoint": "https://www.calculatorx.com/api/v1/calc/cantilever-load-at-intermediate-moment-at"
    },
    {
      "name": "cantilever-load-at-moment-at-moment-at",
      "engine": "cantilever-load-at-moment-at-moment-at",
      "description": "P; M; Mt; a; x; L; E; I. Intermediate load plus intermediate moment. Deflection at x. I is an input",
      "page": "https://www.calculatorx.com/calc/mechanical/cantilever-load-at-moment-at-moment-at",
      "endpoint": "https://www.calculatorx.com/api/v1/calc/cantilever-load-at-moment-at-moment-at"
    },
    {
      "name": "cantilever-load-at-moment-at-tip-at",
      "engine": "cantilever-load-at-moment-at-tip-at",
      "description": "P; Pt; M; a; x; L; E; I. Intermediate load plus intermediate moment. Deflection at x. I is an input",
      "page": "https://www.calculatorx.com/calc/mechanical/cantilever-load-at-moment-at-tip-at",
      "endpoint": "https://www.calculatorx.com/api/v1/calc/cantilever-load-at-moment-at-tip-at"
    },
    {
      "name": "cantilever-load-at-moment-at-tip-moment-at",
      "engine": "cantilever-load-at-moment-at-tip-moment-at",
      "description": "P; Pt; M; Mt; a; x; L; E; I. Intermediate load plus intermediate moment. Deflection at x. I is an input",
      "page": "https://www.calculatorx.com/calc/mechanical/cantilever-load-at-moment-at-tip-moment-at",
      "endpoint": "https://www.calculatorx.com/api/v1/calc/cantilever-load-at-moment-at-tip-moment-at"
    },
    {
      "name": "overhang-span-uniform-at",
      "engine": "overhang-span-uniform-at",
      "description": "P; w; a; x; L; E; I. Overhang span superposition. Deflection at x. I is an input",
      "page": "https://www.calculatorx.com/workspace/beam",
      "endpoint": "https://www.calculatorx.com/api/v1/calc/overhang-span-uniform-at"
    },
    {
      "name": "overhang-span-uniform-moment-at",
      "engine": "overhang-span-uniform-moment-at",
      "description": "P; w; M; a; x; L; E; I. Overhang span superposition. Deflection at x. I is an input",
      "page": "https://www.calculatorx.com/workspace/beam",
      "endpoint": "https://www.calculatorx.com/api/v1/calc/overhang-span-uniform-moment-at"
    },
    {
      "name": "overhang-span-uniform-end-moments-at",
      "engine": "overhang-span-uniform-end-moments-at",
      "description": "P; w; M; a; x; L; E; I. Overhang span superposition. Deflection at x. I is an input",
      "page": "https://www.calculatorx.com/workspace/beam",
      "endpoint": "https://www.calculatorx.com/api/v1/calc/overhang-span-uniform-end-moments-at"
    },
    {
      "name": "overhang-span-point-at",
      "engine": "overhang-span-point-at",
      "description": "P; Pm; a; x; L; E; I. Overhang span superposition. Deflection at x. I is an input",
      "page": "https://www.calculatorx.com/workspace/beam",
      "endpoint": "https://www.calculatorx.com/api/v1/calc/overhang-span-point-at"
    },
    {
      "name": "overhang-span-point-moment-at",
      "engine": "overhang-span-point-moment-at",
      "description": "P; Pm; M; a; x; L; E; I. Overhang span superposition. Deflection at x. I is an input",
      "page": "https://www.calculatorx.com/workspace/beam",
      "endpoint": "https://www.calculatorx.com/api/v1/calc/overhang-span-point-moment-at"
    },
    {
      "name": "overhang-span-point-end-moments-at",
      "engine": "overhang-span-point-end-moments-at",
      "description": "P; Pm; M; a; x; L; E; I. Overhang span superposition. Deflection at x. I is an input",
      "page": "https://www.calculatorx.com/workspace/beam",
      "endpoint": "https://www.calculatorx.com/api/v1/calc/overhang-span-point-end-moments-at"
    },
    {
      "name": "overhang-span-uniform-point-at",
      "engine": "overhang-span-uniform-point-at",
      "description": "P; Pm; w; a; x; L; E; I. Overhang span superposition. Deflection at x. I is an input",
      "page": "https://www.calculatorx.com/workspace/beam",
      "endpoint": "https://www.calculatorx.com/api/v1/calc/overhang-span-uniform-point-at"
    },
    {
      "name": "overhang-span-uniform-point-moment-at",
      "engine": "overhang-span-uniform-point-moment-at",
      "description": "P; Pm; w; M; a; x; L; E; I. Overhang span superposition. Deflection at x. I is an input",
      "page": "https://www.calculatorx.com/workspace/beam",
      "endpoint": "https://www.calculatorx.com/api/v1/calc/overhang-span-uniform-point-moment-at"
    },
    {
      "name": "overhang-span-triangular-at",
      "engine": "overhang-span-triangular-at",
      "description": "P; w0; a; x; L; E; I. Overhang span superposition. Deflection at x. I is an input",
      "page": "https://www.calculatorx.com/workspace/beam",
      "endpoint": "https://www.calculatorx.com/api/v1/calc/overhang-span-triangular-at"
    },
    {
      "name": "overhang-span-triangular-moment-at",
      "engine": "overhang-span-triangular-moment-at",
      "description": "P; w0; M; a; x; L; E; I. Overhang span superposition. Deflection at x. I is an input",
      "page": "https://www.calculatorx.com/workspace/beam",
      "endpoint": "https://www.calculatorx.com/api/v1/calc/overhang-span-triangular-moment-at"
    },
    {
      "name": "overhang-span-center-triangle-at",
      "engine": "overhang-span-center-triangle-at",
      "description": "P; w0; a; x; L; E; I. Overhang span superposition. Deflection at x. I is an input",
      "page": "https://www.calculatorx.com/workspace/beam",
      "endpoint": "https://www.calculatorx.com/api/v1/calc/overhang-span-center-triangle-at"
    },
    {
      "name": "overhang-span-end-triangle-at",
      "engine": "overhang-span-end-triangle-at",
      "description": "P; w0; a; x; L; E; I. Overhang span superposition. Deflection at x. I is an input",
      "page": "https://www.calculatorx.com/workspace/beam",
      "endpoint": "https://www.calculatorx.com/api/v1/calc/overhang-span-end-triangle-at"
    },
    {
      "name": "overhang-span-triangular-end-moments-at",
      "engine": "overhang-span-triangular-end-moments-at",
      "description": "P; w0; M; a; x; L; E; I. Overhang span superposition. Deflection at x. I is an input",
      "page": "https://www.calculatorx.com/workspace/beam",
      "endpoint": "https://www.calculatorx.com/api/v1/calc/overhang-span-triangular-end-moments-at"
    },
    {
      "name": "overhang-span-center-triangle-moment-at",
      "engine": "overhang-span-center-triangle-moment-at",
      "description": "P; w0; M; a; x; L; E; I. Overhang span superposition. Deflection at x. I is an input",
      "page": "https://www.calculatorx.com/workspace/beam",
      "endpoint": "https://www.calculatorx.com/api/v1/calc/overhang-span-center-triangle-moment-at"
    },
    {
      "name": "overhang-span-end-triangle-moment-at",
      "engine": "overhang-span-end-triangle-moment-at",
      "description": "P; w0; M; a; x; L; E; I. Overhang span superposition. Deflection at x. I is an input",
      "page": "https://www.calculatorx.com/workspace/beam",
      "endpoint": "https://www.calculatorx.com/api/v1/calc/overhang-span-end-triangle-moment-at"
    },
    {
      "name": "overhang-span-end-triangle-end-moments-at",
      "engine": "overhang-span-end-triangle-end-moments-at",
      "description": "P; w0; M; a; x; L; E; I. Overhang span superposition. Deflection at x. I is an input",
      "page": "https://www.calculatorx.com/workspace/beam",
      "endpoint": "https://www.calculatorx.com/api/v1/calc/overhang-span-end-triangle-end-moments-at"
    },
    {
      "name": "overhang-span-center-triangle-end-moments-at",
      "engine": "overhang-span-center-triangle-end-moments-at",
      "description": "Overhang span superposition. Deflection at x. I is an input",
      "page": "https://www.calculatorx.com/workspace/beam",
      "endpoint": "https://www.calculatorx.com/api/v1/calc/overhang-span-center-triangle-end-moments-at"
    },
    {
      "name": "overhang-span-triangular-point-at",
      "engine": "overhang-span-triangular-point-at",
      "description": "Overhang span superposition. Deflection at x. I is an input",
      "page": "https://www.calculatorx.com/workspace/beam",
      "endpoint": "https://www.calculatorx.com/api/v1/calc/overhang-span-triangular-point-at"
    },
    {
      "name": "overhang-span-center-triangle-point-at",
      "engine": "overhang-span-center-triangle-point-at",
      "description": "Overhang span superposition. Deflection at x. I is an input",
      "page": "https://www.calculatorx.com/workspace/beam",
      "endpoint": "https://www.calculatorx.com/api/v1/calc/overhang-span-center-triangle-point-at"
    },
    {
      "name": "overhang-span-end-triangle-point-at",
      "engine": "overhang-span-end-triangle-point-at",
      "description": "Overhang span superposition. Deflection at x. I is an input",
      "page": "https://www.calculatorx.com/workspace/beam",
      "endpoint": "https://www.calculatorx.com/api/v1/calc/overhang-span-end-triangle-point-at"
    },
    {
      "name": "overhang-span-triangular-point-moment-at",
      "engine": "overhang-span-triangular-point-moment-at",
      "description": "Overhang span superposition. Deflection at x. I is an input",
      "page": "https://www.calculatorx.com/workspace/beam",
      "endpoint": "https://www.calculatorx.com/api/v1/calc/overhang-span-triangular-point-moment-at"
    },
    {
      "name": "overhang-span-triangular-point-end-moments-at",
      "engine": "overhang-span-triangular-point-end-moments-at",
      "description": "Overhang span superposition. Deflection at x. I is an input",
      "page": "https://www.calculatorx.com/workspace/beam",
      "endpoint": "https://www.calculatorx.com/api/v1/calc/overhang-span-triangular-point-end-moments-at"
    },
    {
      "name": "overhang-span-center-triangle-point-moment-at",
      "engine": "overhang-span-center-triangle-point-moment-at",
      "description": "Overhang span superposition. Deflection at x. I is an input",
      "page": "https://www.calculatorx.com/workspace/beam",
      "endpoint": "https://www.calculatorx.com/api/v1/calc/overhang-span-center-triangle-point-moment-at"
    },
    {
      "name": "overhang-span-end-triangle-point-moment-at",
      "engine": "overhang-span-end-triangle-point-moment-at",
      "description": "Overhang span superposition. Deflection at x. I is an input",
      "page": "https://www.calculatorx.com/workspace/beam",
      "endpoint": "https://www.calculatorx.com/api/v1/calc/overhang-span-end-triangle-point-moment-at"
    },
    {
      "name": "overhang-span-center-triangle-point-end-moments-at",
      "engine": "overhang-span-center-triangle-point-end-moments-at",
      "description": "Overhang span superposition. Deflection at x. I is an input",
      "page": "https://www.calculatorx.com/workspace/beam",
      "endpoint": "https://www.calculatorx.com/api/v1/calc/overhang-span-center-triangle-point-end-moments-at"
    },
    {
      "name": "overhang-span-end-triangle-point-end-moments-at",
      "engine": "overhang-span-end-triangle-point-end-moments-at",
      "description": "Overhang span superposition. Deflection at x. I is an input",
      "page": "https://www.calculatorx.com/workspace/beam",
      "endpoint": "https://www.calculatorx.com/api/v1/calc/overhang-span-end-triangle-point-end-moments-at"
    },
    {
      "name": "overhang-span-uniform-triangular-at",
      "engine": "overhang-span-uniform-triangular-at",
      "description": "Overhang span superposition. Deflection at x. I is an input",
      "page": "https://www.calculatorx.com/workspace/beam",
      "endpoint": "https://www.calculatorx.com/api/v1/calc/overhang-span-uniform-triangular-at"
    },
    {
      "name": "overhang-span-uniform-center-triangle-at",
      "engine": "overhang-span-uniform-center-triangle-at",
      "description": "Overhang span superposition. Deflection at x. I is an input",
      "page": "https://www.calculatorx.com/workspace/beam",
      "endpoint": "https://www.calculatorx.com/api/v1/calc/overhang-span-uniform-center-triangle-at"
    },
    {
      "name": "overhang-span-uniform-end-triangle-at",
      "engine": "overhang-span-uniform-end-triangle-at",
      "description": "Overhang span superposition. Deflection at x. I is an input",
      "page": "https://www.calculatorx.com/workspace/beam",
      "endpoint": "https://www.calculatorx.com/api/v1/calc/overhang-span-uniform-end-triangle-at"
    },
    {
      "name": "overhang-span-uniform-triangular-point-at",
      "engine": "overhang-span-uniform-triangular-point-at",
      "description": "Overhang span superposition. Deflection at x. I is an input",
      "page": "https://www.calculatorx.com/workspace/beam",
      "endpoint": "https://www.calculatorx.com/api/v1/calc/overhang-span-uniform-triangular-point-at"
    },
    {
      "name": "overhang-span-uniform-center-triangle-point-at",
      "engine": "overhang-span-uniform-center-triangle-point-at",
      "description": "Overhang span superposition. Deflection at x. I is an input",
      "page": "https://www.calculatorx.com/workspace/beam",
      "endpoint": "https://www.calculatorx.com/api/v1/calc/overhang-span-uniform-center-triangle-point-at"
    },
    {
      "name": "overhang-span-uniform-end-triangle-point-at",
      "engine": "overhang-span-uniform-end-triangle-point-at",
      "description": "Overhang span superposition. Deflection at x. I is an input",
      "page": "https://www.calculatorx.com/workspace/beam",
      "endpoint": "https://www.calculatorx.com/api/v1/calc/overhang-span-uniform-end-triangle-point-at"
    },
    {
      "name": "overhang-span-uniform-triangular-point-moment-at",
      "engine": "overhang-span-uniform-triangular-point-moment-at",
      "description": "Overhang span superposition. Deflection at x. I is an input",
      "page": "https://www.calculatorx.com/workspace/beam",
      "endpoint": "https://www.calculatorx.com/api/v1/calc/overhang-span-uniform-triangular-point-moment-at"
    },
    {
      "name": "overhang-span-uniform-center-triangle-point-moment-at",
      "engine": "overhang-span-uniform-center-triangle-point-moment-at",
      "description": "Overhang span superposition. Deflection at x. I is an input",
      "page": "https://www.calculatorx.com/workspace/beam",
      "endpoint": "https://www.calculatorx.com/api/v1/calc/overhang-span-uniform-center-triangle-point-moment-at"
    },
    {
      "name": "overhang-span-uniform-end-triangle-point-moment-at",
      "engine": "overhang-span-uniform-end-triangle-point-moment-at",
      "description": "Overhang span superposition. Deflection at x. I is an input",
      "page": "https://www.calculatorx.com/workspace/beam",
      "endpoint": "https://www.calculatorx.com/api/v1/calc/overhang-span-uniform-end-triangle-point-moment-at"
    },
    {
      "name": "overhang-span-uniform-triangular-point-end-moments-at",
      "engine": "overhang-span-uniform-triangular-point-end-moments-at",
      "description": "Overhang span superposition. Deflection at x. I is an input",
      "page": "https://www.calculatorx.com/workspace/beam",
      "endpoint": "https://www.calculatorx.com/api/v1/calc/overhang-span-uniform-triangular-point-end-moments-at"
    },
    {
      "name": "overhang-span-uniform-center-triangle-point-end-moments-at",
      "engine": "overhang-span-uniform-center-triangle-point-end-moments-at",
      "description": "Overhang span superposition. Deflection at x. I is an input",
      "page": "https://www.calculatorx.com/workspace/beam",
      "endpoint": "https://www.calculatorx.com/api/v1/calc/overhang-span-uniform-center-triangle-point-end-moments-at"
    },
    {
      "name": "overhang-span-uniform-end-triangle-point-end-moments-at",
      "engine": "overhang-span-uniform-end-triangle-point-end-moments-at",
      "description": "Overhang span superposition. Deflection at x. I is an input",
      "page": "https://www.calculatorx.com/workspace/beam",
      "endpoint": "https://www.calculatorx.com/api/v1/calc/overhang-span-uniform-end-triangle-point-end-moments-at"
    },
    {
      "name": "overhang-span-offset-moment-at",
      "engine": "overhang-span-offset-moment-at",
      "description": "Overhang span superposition. Deflection at x. I is an input",
      "page": "https://www.calculatorx.com/workspace/beam",
      "endpoint": "https://www.calculatorx.com/api/v1/calc/overhang-span-offset-moment-at"
    },
    {
      "name": "overhang-span-paired-moment-at",
      "engine": "overhang-span-paired-moment-at",
      "description": "Overhang span superposition. Deflection at x. I is an input",
      "page": "https://www.calculatorx.com/workspace/beam",
      "endpoint": "https://www.calculatorx.com/api/v1/calc/overhang-span-paired-moment-at"
    },
    {
      "name": "overhang-span-paired-end-moments-at",
      "engine": "overhang-span-paired-end-moments-at",
      "description": "Overhang span superposition. Deflection at x. I is an input",
      "page": "https://www.calculatorx.com/workspace/beam",
      "endpoint": "https://www.calculatorx.com/api/v1/calc/overhang-span-paired-end-moments-at"
    },
    {
      "name": "overhang-span-uniform-offset-at",
      "engine": "overhang-span-uniform-offset-at",
      "description": "Overhang span superposition. Deflection at x. I is an input",
      "page": "https://www.calculatorx.com/workspace/beam",
      "endpoint": "https://www.calculatorx.com/api/v1/calc/overhang-span-uniform-offset-at"
    },
    {
      "name": "overhang-span-uniform-offset-moment-at",
      "engine": "overhang-span-uniform-offset-moment-at",
      "description": "Overhang span superposition. Deflection at x. I is an input",
      "page": "https://www.calculatorx.com/workspace/beam",
      "endpoint": "https://www.calculatorx.com/api/v1/calc/overhang-span-uniform-offset-moment-at"
    },
    {
      "name": "overhang-span-uniform-offset-end-moments-at",
      "engine": "overhang-span-uniform-offset-end-moments-at",
      "description": "Overhang span superposition. Deflection at x. I is an input",
      "page": "https://www.calculatorx.com/workspace/beam",
      "endpoint": "https://www.calculatorx.com/api/v1/calc/overhang-span-uniform-offset-end-moments-at"
    },
    {
      "name": "overhang-span-uniform-paired-at",
      "engine": "overhang-span-uniform-paired-at",
      "description": "Overhang span superposition. Deflection at x. I is an input",
      "page": "https://www.calculatorx.com/workspace/beam",
      "endpoint": "https://www.calculatorx.com/api/v1/calc/overhang-span-uniform-paired-at"
    },
    {
      "name": "overhang-span-uniform-paired-end-moments-at",
      "engine": "overhang-span-uniform-paired-end-moments-at",
      "description": "Overhang span superposition. Deflection at x. I is an input",
      "page": "https://www.calculatorx.com/workspace/beam",
      "endpoint": "https://www.calculatorx.com/api/v1/calc/overhang-span-uniform-paired-end-moments-at"
    },
    {
      "name": "overhang-span-uniform-paired-moment-at",
      "engine": "overhang-span-uniform-paired-moment-at",
      "description": "Overhang span superposition. Deflection at x. I is an input",
      "page": "https://www.calculatorx.com/workspace/beam",
      "endpoint": "https://www.calculatorx.com/api/v1/calc/overhang-span-uniform-paired-moment-at"
    },
    {
      "name": "overhang-span-offset-paired-at",
      "engine": "overhang-span-offset-paired-at",
      "description": "Overhang span superposition. Deflection at x. I is an input",
      "page": "https://www.calculatorx.com/workspace/beam",
      "endpoint": "https://www.calculatorx.com/api/v1/calc/overhang-span-offset-paired-at"
    },
    {
      "name": "overhang-span-offset-paired-moment-at",
      "engine": "overhang-span-offset-paired-moment-at",
      "description": "Overhang span superposition. Deflection at x. I is an input",
      "page": "https://www.calculatorx.com/workspace/beam",
      "endpoint": "https://www.calculatorx.com/api/v1/calc/overhang-span-offset-paired-moment-at"
    },
    {
      "name": "overhang-span-offset-paired-end-moments-at",
      "engine": "overhang-span-offset-paired-end-moments-at",
      "description": "Overhang span superposition. Deflection at x. I is an input",
      "page": "https://www.calculatorx.com/workspace/beam",
      "endpoint": "https://www.calculatorx.com/api/v1/calc/overhang-span-offset-paired-end-moments-at"
    },
    {
      "name": "overhang-span-uniform-offset-paired-at",
      "engine": "overhang-span-uniform-offset-paired-at",
      "description": "Overhang span superposition. Deflection at x. I is an input",
      "page": "https://www.calculatorx.com/workspace/beam",
      "endpoint": "https://www.calculatorx.com/api/v1/calc/overhang-span-uniform-offset-paired-at"
    },
    {
      "name": "overhang-span-uniform-offset-paired-moment-at",
      "engine": "overhang-span-uniform-offset-paired-moment-at",
      "description": "Overhang span superposition. Deflection at x. I is an input",
      "page": "https://www.calculatorx.com/workspace/beam",
      "endpoint": "https://www.calculatorx.com/api/v1/calc/overhang-span-uniform-offset-paired-moment-at"
    },
    {
      "name": "overhang-span-uniform-offset-paired-end-moments-at",
      "engine": "overhang-span-uniform-offset-paired-end-moments-at",
      "description": "Overhang span superposition. Deflection at x. I is an input",
      "page": "https://www.calculatorx.com/workspace/beam",
      "endpoint": "https://www.calculatorx.com/api/v1/calc/overhang-span-uniform-offset-paired-end-moments-at"
    },
    {
      "name": "overhang-span-triangular-offset-at",
      "engine": "overhang-span-triangular-offset-at",
      "description": "Overhang span superposition. Deflection at x. I is an input",
      "page": "https://www.calculatorx.com/workspace/beam",
      "endpoint": "https://www.calculatorx.com/api/v1/calc/overhang-span-triangular-offset-at"
    },
    {
      "name": "overhang-span-center-triangle-offset-at",
      "engine": "overhang-span-center-triangle-offset-at",
      "description": "Overhang span superposition. Deflection at x. I is an input",
      "page": "https://www.calculatorx.com/workspace/beam",
      "endpoint": "https://www.calculatorx.com/api/v1/calc/overhang-span-center-triangle-offset-at"
    },
    {
      "name": "overhang-span-end-triangle-offset-at",
      "engine": "overhang-span-end-triangle-offset-at",
      "description": "Overhang span superposition. Deflection at x. I is an input",
      "page": "https://www.calculatorx.com/workspace/beam",
      "endpoint": "https://www.calculatorx.com/api/v1/calc/overhang-span-end-triangle-offset-at"
    },
    {
      "name": "overhang-span-triangular-offset-moment-at",
      "engine": "overhang-span-triangular-offset-moment-at",
      "description": "Overhang span superposition. Deflection at x. I is an input",
      "page": "https://www.calculatorx.com/workspace/beam",
      "endpoint": "https://www.calculatorx.com/api/v1/calc/overhang-span-triangular-offset-moment-at"
    },
    {
      "name": "overhang-span-center-triangle-offset-end-moments-at",
      "engine": "overhang-span-center-triangle-offset-end-moments-at",
      "description": "Overhang span superposition. Deflection at x. I is an input",
      "page": "https://www.calculatorx.com/workspace/beam",
      "endpoint": "https://www.calculatorx.com/api/v1/calc/overhang-span-center-triangle-offset-end-moments-at"
    },
    {
      "name": "overhang-span-triangular-paired-at",
      "engine": "overhang-span-triangular-paired-at",
      "description": "Overhang span superposition. Deflection at x. I is an input",
      "page": "https://www.calculatorx.com/workspace/beam",
      "endpoint": "https://www.calculatorx.com/api/v1/calc/overhang-span-triangular-paired-at"
    },
    {
      "name": "overhang-span-triangular-offset-end-moments-at",
      "engine": "overhang-span-triangular-offset-end-moments-at",
      "description": "Overhang span superposition. Deflection at x. I is an input",
      "page": "https://www.calculatorx.com/workspace/beam",
      "endpoint": "https://www.calculatorx.com/api/v1/calc/overhang-span-triangular-offset-end-moments-at"
    },
    {
      "name": "overhang-span-center-triangle-offset-moment-at",
      "engine": "overhang-span-center-triangle-offset-moment-at",
      "description": "Overhang span superposition. Deflection at x. I is an input",
      "page": "https://www.calculatorx.com/workspace/beam",
      "endpoint": "https://www.calculatorx.com/api/v1/calc/overhang-span-center-triangle-offset-moment-at"
    },
    {
      "name": "overhang-span-end-triangle-offset-moment-at",
      "engine": "overhang-span-end-triangle-offset-moment-at",
      "description": "Overhang span superposition. Deflection at x. I is an input",
      "page": "https://www.calculatorx.com/workspace/beam",
      "endpoint": "https://www.calculatorx.com/api/v1/calc/overhang-span-end-triangle-offset-moment-at"
    },
    {
      "name": "overhang-span-end-triangle-offset-end-moments-at",
      "engine": "overhang-span-end-triangle-offset-end-moments-at",
      "description": "Overhang span superposition. Deflection at x. I is an input",
      "page": "https://www.calculatorx.com/workspace/beam",
      "endpoint": "https://www.calculatorx.com/api/v1/calc/overhang-span-end-triangle-offset-end-moments-at"
    },
    {
      "name": "overhang-span-triangular-paired-moment-at",
      "engine": "overhang-span-triangular-paired-moment-at",
      "description": "Overhang span superposition. Deflection at x. I is an input",
      "page": "https://www.calculatorx.com/workspace/beam",
      "endpoint": "https://www.calculatorx.com/api/v1/calc/overhang-span-triangular-paired-moment-at"
    },
    {
      "name": "overhang-span-triangular-paired-end-moments-at",
      "engine": "overhang-span-triangular-paired-end-moments-at",
      "description": "Overhang span superposition. Deflection at x. I is an input",
      "page": "https://www.calculatorx.com/workspace/beam",
      "endpoint": "https://www.calculatorx.com/api/v1/calc/overhang-span-triangular-paired-end-moments-at"
    },
    {
      "name": "overhang-span-center-triangle-paired-at",
      "engine": "overhang-span-center-triangle-paired-at",
      "description": "Overhang span superposition. Deflection at x. I is an input",
      "page": "https://www.calculatorx.com/workspace/beam",
      "endpoint": "https://www.calculatorx.com/api/v1/calc/overhang-span-center-triangle-paired-at"
    },
    {
      "name": "overhang-span-end-triangle-paired-at",
      "engine": "overhang-span-end-triangle-paired-at",
      "description": "Overhang span superposition. Deflection at x. I is an input",
      "page": "https://www.calculatorx.com/workspace/beam",
      "endpoint": "https://www.calculatorx.com/api/v1/calc/overhang-span-end-triangle-paired-at"
    },
    {
      "name": "overhang-span-center-triangle-paired-moment-at",
      "engine": "overhang-span-center-triangle-paired-moment-at",
      "description": "Overhang span superposition. Deflection at x. I is an input",
      "page": "https://www.calculatorx.com/workspace/beam",
      "endpoint": "https://www.calculatorx.com/api/v1/calc/overhang-span-center-triangle-paired-moment-at"
    },
    {
      "name": "overhang-span-center-triangle-paired-end-moments-at",
      "engine": "overhang-span-center-triangle-paired-end-moments-at",
      "description": "Overhang span superposition. Deflection at x. I is an input",
      "page": "https://www.calculatorx.com/workspace/beam",
      "endpoint": "https://www.calculatorx.com/api/v1/calc/overhang-span-center-triangle-paired-end-moments-at"
    },
    {
      "name": "overhang-span-end-triangle-paired-moment-at",
      "engine": "overhang-span-end-triangle-paired-moment-at",
      "description": "Overhang span superposition. Deflection at x. I is an input",
      "page": "https://www.calculatorx.com/workspace/beam",
      "endpoint": "https://www.calculatorx.com/api/v1/calc/overhang-span-end-triangle-paired-moment-at"
    },
    {
      "name": "overhang-span-end-triangle-paired-end-moments-at",
      "engine": "overhang-span-end-triangle-paired-end-moments-at",
      "description": "Overhang span superposition. Deflection at x. I is an input",
      "page": "https://www.calculatorx.com/workspace/beam",
      "endpoint": "https://www.calculatorx.com/api/v1/calc/overhang-span-end-triangle-paired-end-moments-at"
    },
    {
      "name": "overhang-span-uniform-triangular-offset-at",
      "engine": "overhang-span-uniform-triangular-offset-at",
      "description": "Overhang span superposition. Deflection at x. I is an input",
      "page": "https://www.calculatorx.com/workspace/beam",
      "endpoint": "https://www.calculatorx.com/api/v1/calc/overhang-span-uniform-triangular-offset-at"
    },
    {
      "name": "overhang-span-uniform-triangular-offset-moment-at",
      "engine": "overhang-span-uniform-triangular-offset-moment-at",
      "description": "Overhang span superposition. Deflection at x. I is an input",
      "page": "https://www.calculatorx.com/workspace/beam",
      "endpoint": "https://www.calculatorx.com/api/v1/calc/overhang-span-uniform-triangular-offset-moment-at"
    },
    {
      "name": "overhang-span-uniform-center-triangle-offset-at",
      "engine": "overhang-span-uniform-center-triangle-offset-at",
      "description": "Overhang span superposition. Deflection at x. I is an input",
      "page": "https://www.calculatorx.com/workspace/beam",
      "endpoint": "https://www.calculatorx.com/api/v1/calc/overhang-span-uniform-center-triangle-offset-at"
    },
    {
      "name": "overhang-span-uniform-end-triangle-offset-at",
      "engine": "overhang-span-uniform-end-triangle-offset-at",
      "description": "Overhang span superposition. Deflection at x. I is an input",
      "page": "https://www.calculatorx.com/workspace/beam",
      "endpoint": "https://www.calculatorx.com/api/v1/calc/overhang-span-uniform-end-triangle-offset-at"
    },
    {
      "name": "overhang-span-uniform-triangular-offset-end-moments-at",
      "engine": "overhang-span-uniform-triangular-offset-end-moments-at",
      "description": "Overhang span superposition. Deflection at x. I is an input",
      "page": "https://www.calculatorx.com/workspace/beam",
      "endpoint": "https://www.calculatorx.com/api/v1/calc/overhang-span-uniform-triangular-offset-end-moments-at"
    },
    {
      "name": "overhang-span-uniform-center-triangle-offset-moment-at",
      "engine": "overhang-span-uniform-center-triangle-offset-moment-at",
      "description": "Overhang span superposition. Deflection at x. I is an input",
      "page": "https://www.calculatorx.com/workspace/beam",
      "endpoint": "https://www.calculatorx.com/api/v1/calc/overhang-span-uniform-center-triangle-offset-moment-at"
    },
    {
      "name": "overhang-span-uniform-center-triangle-offset-end-moments-at",
      "engine": "overhang-span-uniform-center-triangle-offset-end-moments-at",
      "description": "Overhang span superposition. Deflection at x. I is an input",
      "page": "https://www.calculatorx.com/workspace/beam",
      "endpoint": "https://www.calculatorx.com/api/v1/calc/overhang-span-uniform-center-triangle-offset-end-moments-at"
    },
    {
      "name": "overhang-span-uniform-end-triangle-offset-moment-at",
      "engine": "overhang-span-uniform-end-triangle-offset-moment-at",
      "description": "Overhang span superposition. Deflection at x. I is an input",
      "page": "https://www.calculatorx.com/workspace/beam",
      "endpoint": "https://www.calculatorx.com/api/v1/calc/overhang-span-uniform-end-triangle-offset-moment-at"
    },
    {
      "name": "overhang-span-uniform-end-triangle-offset-end-moments-at",
      "engine": "overhang-span-uniform-end-triangle-offset-end-moments-at",
      "description": "Overhang span superposition. Deflection at x. I is an input",
      "page": "https://www.calculatorx.com/workspace/beam",
      "endpoint": "https://www.calculatorx.com/api/v1/calc/overhang-span-uniform-end-triangle-offset-end-moments-at"
    },
    {
      "name": "overhang-span-uniform-triangular-paired-at",
      "engine": "overhang-span-uniform-triangular-paired-at",
      "description": "Overhang span superposition. Deflection at x. I is an input",
      "page": "https://www.calculatorx.com/workspace/beam",
      "endpoint": "https://www.calculatorx.com/api/v1/calc/overhang-span-uniform-triangular-paired-at"
    },
    {
      "name": "overhang-span-uniform-center-triangle-paired-at",
      "engine": "overhang-span-uniform-center-triangle-paired-at",
      "description": "Overhang span superposition. Deflection at x. I is an input",
      "page": "https://www.calculatorx.com/workspace/beam",
      "endpoint": "https://www.calculatorx.com/api/v1/calc/overhang-span-uniform-center-triangle-paired-at"
    },
    {
      "name": "overhang-span-uniform-end-triangle-paired-at",
      "engine": "overhang-span-uniform-end-triangle-paired-at",
      "description": "Overhang span superposition. Deflection at x. I is an input",
      "page": "https://www.calculatorx.com/workspace/beam",
      "endpoint": "https://www.calculatorx.com/api/v1/calc/overhang-span-uniform-end-triangle-paired-at"
    },
    {
      "name": "overhang-span-uniform-triangular-paired-moment-at",
      "engine": "overhang-span-uniform-triangular-paired-moment-at",
      "description": "Overhang span superposition. Deflection at x. I is an input",
      "page": "https://www.calculatorx.com/workspace/beam",
      "endpoint": "https://www.calculatorx.com/api/v1/calc/overhang-span-uniform-triangular-paired-moment-at"
    },
    {
      "name": "overhang-span-uniform-triangular-paired-end-moments-at",
      "engine": "overhang-span-uniform-triangular-paired-end-moments-at",
      "description": "Overhang span superposition. Deflection at x. I is an input",
      "page": "https://www.calculatorx.com/workspace/beam",
      "endpoint": "https://www.calculatorx.com/api/v1/calc/overhang-span-uniform-triangular-paired-end-moments-at"
    },
    {
      "name": "overhang-span-uniform-center-triangle-paired-moment-at",
      "engine": "overhang-span-uniform-center-triangle-paired-moment-at",
      "description": "Overhang span superposition. Deflection at x. I is an input",
      "page": "https://www.calculatorx.com/workspace/beam",
      "endpoint": "https://www.calculatorx.com/api/v1/calc/overhang-span-uniform-center-triangle-paired-moment-at"
    },
    {
      "name": "overhang-span-uniform-center-triangle-paired-end-moments-at",
      "engine": "overhang-span-uniform-center-triangle-paired-end-moments-at",
      "description": "Overhang span superposition. Deflection at x. I is an input",
      "page": "https://www.calculatorx.com/workspace/beam",
      "endpoint": "https://www.calculatorx.com/api/v1/calc/overhang-span-uniform-center-triangle-paired-end-moments-at"
    },
    {
      "name": "overhang-span-uniform-end-triangle-paired-moment-at",
      "engine": "overhang-span-uniform-end-triangle-paired-moment-at",
      "description": "Overhang span superposition. Deflection at x. I is an input",
      "page": "https://www.calculatorx.com/workspace/beam",
      "endpoint": "https://www.calculatorx.com/api/v1/calc/overhang-span-uniform-end-triangle-paired-moment-at"
    },
    {
      "name": "overhang-span-uniform-end-triangle-paired-end-moments-at",
      "engine": "overhang-span-uniform-end-triangle-paired-end-moments-at",
      "description": "Overhang span superposition. Deflection at x. I is an input",
      "page": "https://www.calculatorx.com/workspace/beam",
      "endpoint": "https://www.calculatorx.com/api/v1/calc/overhang-span-uniform-end-triangle-paired-end-moments-at"
    },
    {
      "name": "overhang-span-uniform-triangular-offset-paired-at",
      "engine": "overhang-span-uniform-triangular-offset-paired-at",
      "description": "Overhang span superposition. Deflection at x. I is an input",
      "page": "https://www.calculatorx.com/workspace/beam",
      "endpoint": "https://www.calculatorx.com/api/v1/calc/overhang-span-uniform-triangular-offset-paired-at"
    },
    {
      "name": "overhang-span-uniform-center-triangle-offset-paired-at",
      "engine": "overhang-span-uniform-center-triangle-offset-paired-at",
      "description": "Overhang span superposition. Deflection at x. I is an input",
      "page": "https://www.calculatorx.com/workspace/beam",
      "endpoint": "https://www.calculatorx.com/api/v1/calc/overhang-span-uniform-center-triangle-offset-paired-at"
    },
    {
      "name": "overhang-span-uniform-end-triangle-offset-paired-at",
      "engine": "overhang-span-uniform-end-triangle-offset-paired-at",
      "description": "Overhang span superposition. Deflection at x. I is an input",
      "page": "https://www.calculatorx.com/workspace/beam",
      "endpoint": "https://www.calculatorx.com/api/v1/calc/overhang-span-uniform-end-triangle-offset-paired-at"
    },
    {
      "name": "overhang-span-uniform-triangular-offset-paired-moment-at",
      "engine": "overhang-span-uniform-triangular-offset-paired-moment-at",
      "description": "Overhang span superposition. Deflection at x. I is an input",
      "page": "https://www.calculatorx.com/workspace/beam",
      "endpoint": "https://www.calculatorx.com/api/v1/calc/overhang-span-uniform-triangular-offset-paired-moment-at"
    },
    {
      "name": "overhang-span-uniform-triangular-offset-paired-end-moments-at",
      "engine": "overhang-span-uniform-triangular-offset-paired-end-moments-at",
      "description": "Overhang span superposition. Deflection at x. I is an input",
      "page": "https://www.calculatorx.com/workspace/beam",
      "endpoint": "https://www.calculatorx.com/api/v1/calc/overhang-span-uniform-triangular-offset-paired-end-moments-at"
    },
    {
      "name": "overhang-span-uniform-center-triangle-offset-paired-moment-at",
      "engine": "overhang-span-uniform-center-triangle-offset-paired-moment-at",
      "description": "Overhang span superposition. Deflection at x. I is an input",
      "page": "https://www.calculatorx.com/workspace/beam",
      "endpoint": "https://www.calculatorx.com/api/v1/calc/overhang-span-uniform-center-triangle-offset-paired-moment-at"
    },
    {
      "name": "overhang-span-uniform-center-triangle-offset-paired-end-moments-at",
      "engine": "overhang-span-uniform-center-triangle-offset-paired-end-moments-at",
      "description": "Overhang span superposition. Deflection at x. I is an input",
      "page": "https://www.calculatorx.com/workspace/beam",
      "endpoint": "https://www.calculatorx.com/api/v1/calc/overhang-span-uniform-center-triangle-offset-paired-end-moments-at"
    },
    {
      "name": "overhang-span-uniform-end-triangle-offset-paired-moment-at",
      "engine": "overhang-span-uniform-end-triangle-offset-paired-moment-at",
      "description": "Overhang span superposition. Deflection at x. I is an input",
      "page": "https://www.calculatorx.com/workspace/beam",
      "endpoint": "https://www.calculatorx.com/api/v1/calc/overhang-span-uniform-end-triangle-offset-paired-moment-at"
    },
    {
      "name": "overhang-span-uniform-end-triangle-offset-paired-end-moments-at",
      "engine": "overhang-span-uniform-end-triangle-offset-paired-end-moments-at",
      "description": "Overhang span superposition. Deflection at x. I is an input",
      "page": "https://www.calculatorx.com/workspace/beam",
      "endpoint": "https://www.calculatorx.com/api/v1/calc/overhang-span-uniform-end-triangle-offset-paired-end-moments-at"
    },
    {
      "name": "overhang-span-uniform-triangular-point-offset-at",
      "engine": "overhang-span-uniform-triangular-point-offset-at",
      "description": "Overhang span superposition. Deflection at x. I is an input",
      "page": "https://www.calculatorx.com/workspace/beam",
      "endpoint": "https://www.calculatorx.com/api/v1/calc/overhang-span-uniform-triangular-point-offset-at"
    },
    {
      "name": "overhang-span-uniform-center-triangle-point-offset-at",
      "engine": "overhang-span-uniform-center-triangle-point-offset-at",
      "description": "Overhang span superposition. Deflection at x. I is an input",
      "page": "https://www.calculatorx.com/workspace/beam",
      "endpoint": "https://www.calculatorx.com/api/v1/calc/overhang-span-uniform-center-triangle-point-offset-at"
    },
    {
      "name": "overhang-span-uniform-end-triangle-point-offset-at",
      "engine": "overhang-span-uniform-end-triangle-point-offset-at",
      "description": "Overhang span superposition. Deflection at x. I is an input",
      "page": "https://www.calculatorx.com/workspace/beam",
      "endpoint": "https://www.calculatorx.com/api/v1/calc/overhang-span-uniform-end-triangle-point-offset-at"
    },
    {
      "name": "overhang-span-uniform-triangular-point-offset-moment-at",
      "engine": "overhang-span-uniform-triangular-point-offset-moment-at",
      "description": "Overhang span superposition. Deflection at x. I is an input",
      "page": "https://www.calculatorx.com/workspace/beam",
      "endpoint": "https://www.calculatorx.com/api/v1/calc/overhang-span-uniform-triangular-point-offset-moment-at"
    },
    {
      "name": "overhang-span-uniform-triangular-point-offset-end-moments-at",
      "engine": "overhang-span-uniform-triangular-point-offset-end-moments-at",
      "description": "Overhang span superposition. Deflection at x. I is an input",
      "page": "https://www.calculatorx.com/workspace/beam",
      "endpoint": "https://www.calculatorx.com/api/v1/calc/overhang-span-uniform-triangular-point-offset-end-moments-at"
    },
    {
      "name": "overhang-span-uniform-center-triangle-point-offset-moment-at",
      "engine": "overhang-span-uniform-center-triangle-point-offset-moment-at",
      "description": "Overhang span superposition. Deflection at x. I is an input",
      "page": "https://www.calculatorx.com/workspace/beam",
      "endpoint": "https://www.calculatorx.com/api/v1/calc/overhang-span-uniform-center-triangle-point-offset-moment-at"
    },
    {
      "name": "overhang-span-uniform-center-triangle-point-offset-end-moments-at",
      "engine": "overhang-span-uniform-center-triangle-point-offset-end-moments-at",
      "description": "Overhang span superposition. Deflection at x. I is an input",
      "page": "https://www.calculatorx.com/workspace/beam",
      "endpoint": "https://www.calculatorx.com/api/v1/calc/overhang-span-uniform-center-triangle-point-offset-end-moments-at"
    },
    {
      "name": "overhang-span-uniform-end-triangle-point-offset-moment-at",
      "engine": "overhang-span-uniform-end-triangle-point-offset-moment-at",
      "description": "Overhang span superposition. Deflection at x. I is an input",
      "page": "https://www.calculatorx.com/workspace/beam",
      "endpoint": "https://www.calculatorx.com/api/v1/calc/overhang-span-uniform-end-triangle-point-offset-moment-at"
    },
    {
      "name": "overhang-span-uniform-end-triangle-point-offset-end-moments-at",
      "engine": "overhang-span-uniform-end-triangle-point-offset-end-moments-at",
      "description": "Overhang span superposition. Deflection at x. I is an input",
      "page": "https://www.calculatorx.com/workspace/beam",
      "endpoint": "https://www.calculatorx.com/api/v1/calc/overhang-span-uniform-end-triangle-point-offset-end-moments-at"
    },
    {
      "name": "overhang-span-uniform-triangular-point-paired-at",
      "engine": "overhang-span-uniform-triangular-point-paired-at",
      "description": "Overhang span superposition. Deflection at x. I is an input",
      "page": "https://www.calculatorx.com/workspace/beam",
      "endpoint": "https://www.calculatorx.com/api/v1/calc/overhang-span-uniform-triangular-point-paired-at"
    },
    {
      "name": "overhang-span-uniform-center-triangle-point-paired-at",
      "engine": "overhang-span-uniform-center-triangle-point-paired-at",
      "description": "Overhang span superposition. Deflection at x. I is an input",
      "page": "https://www.calculatorx.com/workspace/beam",
      "endpoint": "https://www.calculatorx.com/api/v1/calc/overhang-span-uniform-center-triangle-point-paired-at"
    },
    {
      "name": "overhang-span-uniform-end-triangle-point-paired-at",
      "engine": "overhang-span-uniform-end-triangle-point-paired-at",
      "description": "Overhang span superposition. Deflection at x. I is an input",
      "page": "https://www.calculatorx.com/workspace/beam",
      "endpoint": "https://www.calculatorx.com/api/v1/calc/overhang-span-uniform-end-triangle-point-paired-at"
    },
    {
      "name": "overhang-span-uniform-triangular-point-paired-moment-at",
      "engine": "overhang-span-uniform-triangular-point-paired-moment-at",
      "description": "Overhang span superposition. Deflection at x. I is an input",
      "page": "https://www.calculatorx.com/workspace/beam",
      "endpoint": "https://www.calculatorx.com/api/v1/calc/overhang-span-uniform-triangular-point-paired-moment-at"
    },
    {
      "name": "overhang-span-uniform-triangular-point-paired-end-moments-at",
      "engine": "overhang-span-uniform-triangular-point-paired-end-moments-at",
      "description": "Overhang span superposition. Deflection at x. I is an input",
      "page": "https://www.calculatorx.com/workspace/beam",
      "endpoint": "https://www.calculatorx.com/api/v1/calc/overhang-span-uniform-triangular-point-paired-end-moments-at"
    },
    {
      "name": "overhang-span-uniform-center-triangle-point-paired-moment-at",
      "engine": "overhang-span-uniform-center-triangle-point-paired-moment-at",
      "description": "Overhang span superposition. Deflection at x. I is an input",
      "page": "https://www.calculatorx.com/workspace/beam",
      "endpoint": "https://www.calculatorx.com/api/v1/calc/overhang-span-uniform-center-triangle-point-paired-moment-at"
    },
    {
      "name": "overhang-span-uniform-center-triangle-point-paired-end-moments-at",
      "engine": "overhang-span-uniform-center-triangle-point-paired-end-moments-at",
      "description": "Overhang span superposition. Deflection at x. I is an input",
      "page": "https://www.calculatorx.com/workspace/beam",
      "endpoint": "https://www.calculatorx.com/api/v1/calc/overhang-span-uniform-center-triangle-point-paired-end-moments-at"
    },
    {
      "name": "overhang-span-uniform-end-triangle-point-paired-moment-at",
      "engine": "overhang-span-uniform-end-triangle-point-paired-moment-at",
      "description": "Overhang span superposition. Deflection at x. I is an input",
      "page": "https://www.calculatorx.com/workspace/beam",
      "endpoint": "https://www.calculatorx.com/api/v1/calc/overhang-span-uniform-end-triangle-point-paired-moment-at"
    },
    {
      "name": "overhang-span-uniform-end-triangle-point-paired-end-moments-at",
      "engine": "overhang-span-uniform-end-triangle-point-paired-end-moments-at",
      "description": "Overhang span superposition. Deflection at x. I is an input",
      "page": "https://www.calculatorx.com/workspace/beam",
      "endpoint": "https://www.calculatorx.com/api/v1/calc/overhang-span-uniform-end-triangle-point-paired-end-moments-at"
    },
    {
      "name": "overhang-span-uniform-triangular-point-offset-paired-at",
      "engine": "overhang-span-uniform-triangular-point-offset-paired-at",
      "description": "Overhang span superposition. Deflection at x. I is an input",
      "page": "https://www.calculatorx.com/workspace/beam",
      "endpoint": "https://www.calculatorx.com/api/v1/calc/overhang-span-uniform-triangular-point-offset-paired-at"
    },
    {
      "name": "overhang-span-uniform-center-triangle-point-offset-paired-at",
      "engine": "overhang-span-uniform-center-triangle-point-offset-paired-at",
      "description": "Overhang span superposition. Deflection at x. I is an input",
      "page": "https://www.calculatorx.com/workspace/beam",
      "endpoint": "https://www.calculatorx.com/api/v1/calc/overhang-span-uniform-center-triangle-point-offset-paired-at"
    },
    {
      "name": "overhang-span-uniform-end-triangle-point-offset-paired-at",
      "engine": "overhang-span-uniform-end-triangle-point-offset-paired-at",
      "description": "Overhang span superposition. Deflection at x. I is an input",
      "page": "https://www.calculatorx.com/workspace/beam",
      "endpoint": "https://www.calculatorx.com/api/v1/calc/overhang-span-uniform-end-triangle-point-offset-paired-at"
    },
    {
      "name": "overhang-span-uniform-triangular-point-offset-paired-moment-at",
      "engine": "overhang-span-uniform-triangular-point-offset-paired-moment-at",
      "description": "Overhang span superposition. Deflection at x. I is an input",
      "page": "https://www.calculatorx.com/workspace/beam",
      "endpoint": "https://www.calculatorx.com/api/v1/calc/overhang-span-uniform-triangular-point-offset-paired-moment-at"
    },
    {
      "name": "overhang-span-uniform-triangular-point-offset-paired-end-moments-at",
      "engine": "overhang-span-uniform-triangular-point-offset-paired-end-moments-at",
      "description": "Overhang span superposition. Deflection at x. I is an input",
      "page": "https://www.calculatorx.com/workspace/beam",
      "endpoint": "https://www.calculatorx.com/api/v1/calc/overhang-span-uniform-triangular-point-offset-paired-end-moments-at"
    },
    {
      "name": "overhang-span-uniform-center-triangle-point-offset-paired-moment-at",
      "engine": "overhang-span-uniform-center-triangle-point-offset-paired-moment-at",
      "description": "Overhang span superposition. Deflection at x. I is an input",
      "page": "https://www.calculatorx.com/workspace/beam",
      "endpoint": "https://www.calculatorx.com/api/v1/calc/overhang-span-uniform-center-triangle-point-offset-paired-moment-at"
    },
    {
      "name": "overhang-span-uniform-center-triangle-point-offset-paired-end-moments-at",
      "engine": "overhang-span-uniform-center-triangle-point-offset-paired-end-moments-at",
      "description": "Overhang span superposition. Deflection at x. I is an input",
      "page": "https://www.calculatorx.com/workspace/beam",
      "endpoint": "https://www.calculatorx.com/api/v1/calc/overhang-span-uniform-center-triangle-point-offset-paired-end-moments-at"
    },
    {
      "name": "overhang-span-uniform-end-triangle-point-offset-paired-moment-at",
      "engine": "overhang-span-uniform-end-triangle-point-offset-paired-moment-at",
      "description": "Overhang span superposition. Deflection at x. I is an input",
      "page": "https://www.calculatorx.com/workspace/beam",
      "endpoint": "https://www.calculatorx.com/api/v1/calc/overhang-span-uniform-end-triangle-point-offset-paired-moment-at"
    },
    {
      "name": "overhang-span-uniform-end-triangle-point-offset-paired-end-moments-at",
      "engine": "overhang-span-uniform-end-triangle-point-offset-paired-end-moments-at",
      "description": "Overhang span superposition. Deflection at x. I is an input",
      "page": "https://www.calculatorx.com/workspace/beam",
      "endpoint": "https://www.calculatorx.com/api/v1/calc/overhang-span-uniform-end-triangle-point-offset-paired-end-moments-at"
    },
    {
      "name": "overhang-span-triangular-offset-paired-at",
      "engine": "overhang-span-triangular-offset-paired-at",
      "description": "Overhang span superposition. Deflection at x. I is an input",
      "page": "https://www.calculatorx.com/workspace/beam",
      "endpoint": "https://www.calculatorx.com/api/v1/calc/overhang-span-triangular-offset-paired-at"
    },
    {
      "name": "overhang-span-center-triangle-offset-paired-at",
      "engine": "overhang-span-center-triangle-offset-paired-at",
      "description": "Overhang span superposition. Deflection at x. I is an input",
      "page": "https://www.calculatorx.com/workspace/beam",
      "endpoint": "https://www.calculatorx.com/api/v1/calc/overhang-span-center-triangle-offset-paired-at"
    },
    {
      "name": "overhang-span-end-triangle-offset-paired-at",
      "engine": "overhang-span-end-triangle-offset-paired-at",
      "description": "Overhang span superposition. Deflection at x. I is an input",
      "page": "https://www.calculatorx.com/workspace/beam",
      "endpoint": "https://www.calculatorx.com/api/v1/calc/overhang-span-end-triangle-offset-paired-at"
    },
    {
      "name": "overhang-span-triangular-offset-paired-moment-at",
      "engine": "overhang-span-triangular-offset-paired-moment-at",
      "description": "Overhang span superposition. Deflection at x. I is an input",
      "page": "https://www.calculatorx.com/workspace/beam",
      "endpoint": "https://www.calculatorx.com/api/v1/calc/overhang-span-triangular-offset-paired-moment-at"
    },
    {
      "name": "overhang-span-triangular-offset-paired-end-moments-at",
      "engine": "overhang-span-triangular-offset-paired-end-moments-at",
      "description": "Overhang span superposition. Deflection at x. I is an input",
      "page": "https://www.calculatorx.com/workspace/beam",
      "endpoint": "https://www.calculatorx.com/api/v1/calc/overhang-span-triangular-offset-paired-end-moments-at"
    },
    {
      "name": "overhang-span-center-triangle-offset-paired-moment-at",
      "engine": "overhang-span-center-triangle-offset-paired-moment-at",
      "description": "Overhang span superposition. Deflection at x. I is an input",
      "page": "https://www.calculatorx.com/workspace/beam",
      "endpoint": "https://www.calculatorx.com/api/v1/calc/overhang-span-center-triangle-offset-paired-moment-at"
    },
    {
      "name": "overhang-span-center-triangle-offset-paired-end-moments-at",
      "engine": "overhang-span-center-triangle-offset-paired-end-moments-at",
      "description": "Overhang span superposition. Deflection at x. I is an input",
      "page": "https://www.calculatorx.com/workspace/beam",
      "endpoint": "https://www.calculatorx.com/api/v1/calc/overhang-span-center-triangle-offset-paired-end-moments-at"
    },
    {
      "name": "overhang-span-end-triangle-offset-paired-moment-at",
      "engine": "overhang-span-end-triangle-offset-paired-moment-at",
      "description": "Overhang span superposition. Deflection at x. I is an input",
      "page": "https://www.calculatorx.com/workspace/beam",
      "endpoint": "https://www.calculatorx.com/api/v1/calc/overhang-span-end-triangle-offset-paired-moment-at"
    },
    {
      "name": "overhang-span-end-triangle-offset-paired-end-moments-at",
      "engine": "overhang-span-end-triangle-offset-paired-end-moments-at",
      "description": "Overhang span superposition. Deflection at x. I is an input",
      "page": "https://www.calculatorx.com/workspace/beam",
      "endpoint": "https://www.calculatorx.com/api/v1/calc/overhang-span-end-triangle-offset-paired-end-moments-at"
    },
    {
      "name": "overhang-span-triangular-point-offset-at",
      "engine": "overhang-span-triangular-point-offset-at",
      "description": "Overhang span superposition. Deflection at x. I is an input",
      "page": "https://www.calculatorx.com/workspace/beam",
      "endpoint": "https://www.calculatorx.com/api/v1/calc/overhang-span-triangular-point-offset-at"
    },
    {
      "name": "overhang-span-triangular-point-offset-moment-at",
      "engine": "overhang-span-triangular-point-offset-moment-at",
      "description": "Overhang span superposition. Deflection at x. I is an input",
      "page": "https://www.calculatorx.com/workspace/beam",
      "endpoint": "https://www.calculatorx.com/api/v1/calc/overhang-span-triangular-point-offset-moment-at"
    },
    {
      "name": "overhang-span-triangular-point-offset-end-moments-at",
      "engine": "overhang-span-triangular-point-offset-end-moments-at",
      "description": "Overhang span superposition. Deflection at x. I is an input",
      "page": "https://www.calculatorx.com/workspace/beam",
      "endpoint": "https://www.calculatorx.com/api/v1/calc/overhang-span-triangular-point-offset-end-moments-at"
    },
    {
      "name": "overhang-span-center-triangle-point-offset-at",
      "engine": "overhang-span-center-triangle-point-offset-at",
      "description": "Overhang span superposition. Deflection at x. I is an input",
      "page": "https://www.calculatorx.com/workspace/beam",
      "endpoint": "https://www.calculatorx.com/api/v1/calc/overhang-span-center-triangle-point-offset-at"
    },
    {
      "name": "overhang-span-end-triangle-point-offset-at",
      "engine": "overhang-span-end-triangle-point-offset-at",
      "description": "Overhang span superposition. Deflection at x. I is an input",
      "page": "https://www.calculatorx.com/workspace/beam",
      "endpoint": "https://www.calculatorx.com/api/v1/calc/overhang-span-end-triangle-point-offset-at"
    },
    {
      "name": "overhang-span-center-triangle-point-offset-moment-at",
      "engine": "overhang-span-center-triangle-point-offset-moment-at",
      "description": "Overhang span superposition. Deflection at x. I is an input",
      "page": "https://www.calculatorx.com/workspace/beam",
      "endpoint": "https://www.calculatorx.com/api/v1/calc/overhang-span-center-triangle-point-offset-moment-at"
    },
    {
      "name": "overhang-span-center-triangle-point-offset-end-moments-at",
      "engine": "overhang-span-center-triangle-point-offset-end-moments-at",
      "description": "Overhang span superposition. Deflection at x. I is an input",
      "page": "https://www.calculatorx.com/workspace/beam",
      "endpoint": "https://www.calculatorx.com/api/v1/calc/overhang-span-center-triangle-point-offset-end-moments-at"
    },
    {
      "name": "overhang-span-end-triangle-point-offset-moment-at",
      "engine": "overhang-span-end-triangle-point-offset-moment-at",
      "description": "Overhang span superposition. Deflection at x. I is an input",
      "page": "https://www.calculatorx.com/workspace/beam",
      "endpoint": "https://www.calculatorx.com/api/v1/calc/overhang-span-end-triangle-point-offset-moment-at"
    },
    {
      "name": "overhang-span-end-triangle-point-offset-end-moments-at",
      "engine": "overhang-span-end-triangle-point-offset-end-moments-at",
      "description": "Overhang span superposition. Deflection at x. I is an input",
      "page": "https://www.calculatorx.com/workspace/beam",
      "endpoint": "https://www.calculatorx.com/api/v1/calc/overhang-span-end-triangle-point-offset-end-moments-at"
    },
    {
      "name": "overhang-span-triangular-point-paired-at",
      "engine": "overhang-span-triangular-point-paired-at",
      "description": "Overhang span superposition. Deflection at x. I is an input",
      "page": "https://www.calculatorx.com/workspace/beam",
      "endpoint": "https://www.calculatorx.com/api/v1/calc/overhang-span-triangular-point-paired-at"
    },
    {
      "name": "overhang-span-center-triangle-point-paired-at",
      "engine": "overhang-span-center-triangle-point-paired-at",
      "description": "Overhang span superposition. Deflection at x. I is an input",
      "page": "https://www.calculatorx.com/workspace/beam",
      "endpoint": "https://www.calculatorx.com/api/v1/calc/overhang-span-center-triangle-point-paired-at"
    },
    {
      "name": "overhang-span-end-triangle-point-paired-at",
      "engine": "overhang-span-end-triangle-point-paired-at",
      "description": "Overhang span superposition. Deflection at x. I is an input",
      "page": "https://www.calculatorx.com/workspace/beam",
      "endpoint": "https://www.calculatorx.com/api/v1/calc/overhang-span-end-triangle-point-paired-at"
    },
    {
      "name": "overhang-span-triangular-point-paired-moment-at",
      "engine": "overhang-span-triangular-point-paired-moment-at",
      "description": "Overhang span superposition. Deflection at x. I is an input",
      "page": "https://www.calculatorx.com/workspace/beam",
      "endpoint": "https://www.calculatorx.com/api/v1/calc/overhang-span-triangular-point-paired-moment-at"
    },
    {
      "name": "overhang-span-triangular-point-paired-end-moments-at",
      "engine": "overhang-span-triangular-point-paired-end-moments-at",
      "description": "Overhang span superposition. Deflection at x. I is an input",
      "page": "https://www.calculatorx.com/workspace/beam",
      "endpoint": "https://www.calculatorx.com/api/v1/calc/overhang-span-triangular-point-paired-end-moments-at"
    },
    {
      "name": "overhang-span-center-triangle-point-paired-moment-at",
      "engine": "overhang-span-center-triangle-point-paired-moment-at",
      "description": "Overhang span superposition. Deflection at x. I is an input",
      "page": "https://www.calculatorx.com/workspace/beam",
      "endpoint": "https://www.calculatorx.com/api/v1/calc/overhang-span-center-triangle-point-paired-moment-at"
    },
    {
      "name": "overhang-span-center-triangle-point-paired-end-moments-at",
      "engine": "overhang-span-center-triangle-point-paired-end-moments-at",
      "description": "Overhang span superposition. Deflection at x. I is an input",
      "page": "https://www.calculatorx.com/workspace/beam",
      "endpoint": "https://www.calculatorx.com/api/v1/calc/overhang-span-center-triangle-point-paired-end-moments-at"
    },
    {
      "name": "overhang-span-end-triangle-point-paired-moment-at",
      "engine": "overhang-span-end-triangle-point-paired-moment-at",
      "description": "Overhang span superposition. Deflection at x. I is an input",
      "page": "https://www.calculatorx.com/workspace/beam",
      "endpoint": "https://www.calculatorx.com/api/v1/calc/overhang-span-end-triangle-point-paired-moment-at"
    },
    {
      "name": "overhang-span-end-triangle-point-paired-end-moments-at",
      "engine": "overhang-span-end-triangle-point-paired-end-moments-at",
      "description": "Overhang span superposition. Deflection at x. I is an input",
      "page": "https://www.calculatorx.com/workspace/beam",
      "endpoint": "https://www.calculatorx.com/api/v1/calc/overhang-span-end-triangle-point-paired-end-moments-at"
    },
    {
      "name": "overhang-span-triangular-point-offset-paired-at",
      "engine": "overhang-span-triangular-point-offset-paired-at",
      "description": "Overhang span superposition. Deflection at x. I is an input",
      "page": "https://www.calculatorx.com/workspace/beam",
      "endpoint": "https://www.calculatorx.com/api/v1/calc/overhang-span-triangular-point-offset-paired-at"
    },
    {
      "name": "overhang-span-center-triangle-point-offset-paired-at",
      "engine": "overhang-span-center-triangle-point-offset-paired-at",
      "description": "Overhang span superposition. Deflection at x. I is an input",
      "page": "https://www.calculatorx.com/workspace/beam",
      "endpoint": "https://www.calculatorx.com/api/v1/calc/overhang-span-center-triangle-point-offset-paired-at"
    },
    {
      "name": "overhang-span-end-triangle-point-offset-paired-at",
      "engine": "overhang-span-end-triangle-point-offset-paired-at",
      "description": "Overhang span superposition. Deflection at x. I is an input",
      "page": "https://www.calculatorx.com/workspace/beam",
      "endpoint": "https://www.calculatorx.com/api/v1/calc/overhang-span-end-triangle-point-offset-paired-at"
    },
    {
      "name": "overhang-span-triangular-point-offset-paired-moment-at",
      "engine": "overhang-span-triangular-point-offset-paired-moment-at",
      "description": "Overhang span superposition. Deflection at x. I is an input",
      "page": "https://www.calculatorx.com/workspace/beam",
      "endpoint": "https://www.calculatorx.com/api/v1/calc/overhang-span-triangular-point-offset-paired-moment-at"
    },
    {
      "name": "overhang-span-triangular-point-offset-paired-end-moments-at",
      "engine": "overhang-span-triangular-point-offset-paired-end-moments-at",
      "description": "Overhang span superposition. Deflection at x. I is an input",
      "page": "https://www.calculatorx.com/workspace/beam",
      "endpoint": "https://www.calculatorx.com/api/v1/calc/overhang-span-triangular-point-offset-paired-end-moments-at"
    },
    {
      "name": "overhang-span-center-triangle-point-offset-paired-moment-at",
      "engine": "overhang-span-center-triangle-point-offset-paired-moment-at",
      "description": "Overhang span superposition. Deflection at x. I is an input",
      "page": "https://www.calculatorx.com/workspace/beam",
      "endpoint": "https://www.calculatorx.com/api/v1/calc/overhang-span-center-triangle-point-offset-paired-moment-at"
    },
    {
      "name": "overhang-span-center-triangle-point-offset-paired-end-moments-at",
      "engine": "overhang-span-center-triangle-point-offset-paired-end-moments-at",
      "description": "Overhang span superposition. Deflection at x. I is an input",
      "page": "https://www.calculatorx.com/workspace/beam",
      "endpoint": "https://www.calculatorx.com/api/v1/calc/overhang-span-center-triangle-point-offset-paired-end-moments-at"
    },
    {
      "name": "overhang-span-end-triangle-point-offset-paired-moment-at",
      "engine": "overhang-span-end-triangle-point-offset-paired-moment-at",
      "description": "Overhang span superposition. Deflection at x. I is an input",
      "page": "https://www.calculatorx.com/workspace/beam",
      "endpoint": "https://www.calculatorx.com/api/v1/calc/overhang-span-end-triangle-point-offset-paired-moment-at"
    },
    {
      "name": "overhang-span-end-triangle-point-offset-paired-end-moments-at",
      "engine": "overhang-span-end-triangle-point-offset-paired-end-moments-at",
      "description": "Overhang span superposition. Deflection at x. I is an input",
      "page": "https://www.calculatorx.com/workspace/beam",
      "endpoint": "https://www.calculatorx.com/api/v1/calc/overhang-span-end-triangle-point-offset-paired-end-moments-at"
    },
    {
      "name": "overhang-span-point-offset-at",
      "engine": "overhang-span-point-offset-at",
      "description": "Overhang span superposition. Deflection at x. I is an input",
      "page": "https://www.calculatorx.com/workspace/beam",
      "endpoint": "https://www.calculatorx.com/api/v1/calc/overhang-span-point-offset-at"
    },
    {
      "name": "overhang-span-point-offset-moment-at",
      "engine": "overhang-span-point-offset-moment-at",
      "description": "Overhang span superposition. Deflection at x. I is an input",
      "page": "https://www.calculatorx.com/workspace/beam",
      "endpoint": "https://www.calculatorx.com/api/v1/calc/overhang-span-point-offset-moment-at"
    },
    {
      "name": "overhang-span-point-offset-end-moments-at",
      "engine": "overhang-span-point-offset-end-moments-at",
      "description": "Overhang span superposition. Deflection at x. I is an input",
      "page": "https://www.calculatorx.com/workspace/beam",
      "endpoint": "https://www.calculatorx.com/api/v1/calc/overhang-span-point-offset-end-moments-at"
    },
    {
      "name": "overhang-span-point-paired-at",
      "engine": "overhang-span-point-paired-at",
      "description": "Overhang span superposition. Deflection at x. I is an input",
      "page": "https://www.calculatorx.com/workspace/beam",
      "endpoint": "https://www.calculatorx.com/api/v1/calc/overhang-span-point-paired-at"
    },
    {
      "name": "overhang-span-point-paired-moment-at",
      "engine": "overhang-span-point-paired-moment-at",
      "description": "Overhang span superposition. Deflection at x. I is an input",
      "page": "https://www.calculatorx.com/workspace/beam",
      "endpoint": "https://www.calculatorx.com/api/v1/calc/overhang-span-point-paired-moment-at"
    },
    {
      "name": "overhang-span-point-paired-end-moments-at",
      "engine": "overhang-span-point-paired-end-moments-at",
      "description": "Overhang span superposition. Deflection at x. I is an input",
      "page": "https://www.calculatorx.com/workspace/beam",
      "endpoint": "https://www.calculatorx.com/api/v1/calc/overhang-span-point-paired-end-moments-at"
    },
    {
      "name": "overhang-span-point-offset-paired-at",
      "engine": "overhang-span-point-offset-paired-at",
      "description": "Overhang span superposition. Deflection at x. I is an input",
      "page": "https://www.calculatorx.com/workspace/beam",
      "endpoint": "https://www.calculatorx.com/api/v1/calc/overhang-span-point-offset-paired-at"
    },
    {
      "name": "overhang-span-point-offset-paired-moment-at",
      "engine": "overhang-span-point-offset-paired-moment-at",
      "description": "Overhang span superposition. Deflection at x. I is an input",
      "page": "https://www.calculatorx.com/workspace/beam",
      "endpoint": "https://www.calculatorx.com/api/v1/calc/overhang-span-point-offset-paired-moment-at"
    },
    {
      "name": "overhang-span-point-offset-paired-end-moments-at",
      "engine": "overhang-span-point-offset-paired-end-moments-at",
      "description": "Overhang span superposition. Deflection at x. I is an input",
      "page": "https://www.calculatorx.com/workspace/beam",
      "endpoint": "https://www.calculatorx.com/api/v1/calc/overhang-span-point-offset-paired-end-moments-at"
    },
    {
      "name": "overhang-span-uniform-point-offset-at",
      "engine": "overhang-span-uniform-point-offset-at",
      "description": "Overhang span superposition. Deflection at x. I is an input",
      "page": "https://www.calculatorx.com/workspace/beam",
      "endpoint": "https://www.calculatorx.com/api/v1/calc/overhang-span-uniform-point-offset-at"
    },
    {
      "name": "overhang-span-uniform-point-offset-moment-at",
      "engine": "overhang-span-uniform-point-offset-moment-at",
      "description": "Overhang span superposition. Deflection at x. I is an input",
      "page": "https://www.calculatorx.com/workspace/beam",
      "endpoint": "https://www.calculatorx.com/api/v1/calc/overhang-span-uniform-point-offset-moment-at"
    },
    {
      "name": "overhang-span-uniform-point-offset-end-moments-at",
      "engine": "overhang-span-uniform-point-offset-end-moments-at",
      "description": "Overhang span superposition. Deflection at x. I is an input",
      "page": "https://www.calculatorx.com/workspace/beam",
      "endpoint": "https://www.calculatorx.com/api/v1/calc/overhang-span-uniform-point-offset-end-moments-at"
    },
    {
      "name": "overhang-span-uniform-point-paired-at",
      "engine": "overhang-span-uniform-point-paired-at",
      "description": "Overhang span superposition. Deflection at x. I is an input",
      "page": "https://www.calculatorx.com/workspace/beam",
      "endpoint": "https://www.calculatorx.com/api/v1/calc/overhang-span-uniform-point-paired-at"
    },
    {
      "name": "overhang-span-uniform-point-paired-moment-at",
      "engine": "overhang-span-uniform-point-paired-moment-at",
      "description": "Overhang span superposition. Deflection at x. I is an input",
      "page": "https://www.calculatorx.com/workspace/beam",
      "endpoint": "https://www.calculatorx.com/api/v1/calc/overhang-span-uniform-point-paired-moment-at"
    },
    {
      "name": "overhang-span-uniform-point-paired-end-moments-at",
      "engine": "overhang-span-uniform-point-paired-end-moments-at",
      "description": "Overhang span superposition. Deflection at x. I is an input",
      "page": "https://www.calculatorx.com/workspace/beam",
      "endpoint": "https://www.calculatorx.com/api/v1/calc/overhang-span-uniform-point-paired-end-moments-at"
    },
    {
      "name": "overhang-span-uniform-point-offset-paired-at",
      "engine": "overhang-span-uniform-point-offset-paired-at",
      "description": "Overhang span superposition. Deflection at x. I is an input",
      "page": "https://www.calculatorx.com/workspace/beam",
      "endpoint": "https://www.calculatorx.com/api/v1/calc/overhang-span-uniform-point-offset-paired-at"
    },
    {
      "name": "overhang-span-uniform-point-offset-paired-moment-at",
      "engine": "overhang-span-uniform-point-offset-paired-moment-at",
      "description": "Overhang span superposition. Deflection at x. I is an input",
      "page": "https://www.calculatorx.com/workspace/beam",
      "endpoint": "https://www.calculatorx.com/api/v1/calc/overhang-span-uniform-point-offset-paired-moment-at"
    },
    {
      "name": "overhang-span-uniform-point-offset-paired-end-moments-at",
      "engine": "overhang-span-uniform-point-offset-paired-end-moments-at",
      "description": "Overhang span superposition. Deflection at x. I is an input",
      "page": "https://www.calculatorx.com/workspace/beam",
      "endpoint": "https://www.calculatorx.com/api/v1/calc/overhang-span-uniform-point-offset-paired-end-moments-at"
    },
    {
      "name": "overhang-span-offset-at",
      "engine": "overhang-span-offset-at",
      "description": "Overhang span superposition. Deflection at x. I is an input",
      "page": "https://www.calculatorx.com/workspace/beam",
      "endpoint": "https://www.calculatorx.com/api/v1/calc/overhang-span-offset-at"
    },
    {
      "name": "overhang-span-paired-at",
      "engine": "overhang-span-paired-at",
      "description": "Overhang span superposition. Deflection at x. I is an input",
      "page": "https://www.calculatorx.com/workspace/beam",
      "endpoint": "https://www.calculatorx.com/api/v1/calc/overhang-span-paired-at"
    },
    {
      "name": "overhang-span-offset-end-moments-at",
      "engine": "overhang-span-offset-end-moments-at",
      "description": "Overhang span superposition. Deflection at x. I is an input",
      "page": "https://www.calculatorx.com/workspace/beam",
      "endpoint": "https://www.calculatorx.com/api/v1/calc/overhang-span-offset-end-moments-at"
    },
    {
      "name": "cantilever-moment-at-curve",
      "engine": "cantilever-moment-at-curve",
      "description": "M; a; x; L; E; I. Cantilever moment at a. Deflection at station x. I is an input",
      "page": "https://www.calculatorx.com/calc/mechanical/cantilever-moment-at-curve",
      "endpoint": "https://www.calculatorx.com/api/v1/calc/cantilever-moment-at-curve"
    },
    {
      "name": "uniform-point-at",
      "engine": "uniform-point-at",
      "description": "w; P; x; L; E; I. Uniform load plus a midspan point load. Deflection at x. I is an input",
      "page": "https://www.calculatorx.com/calc/physics/uniform-point-at",
      "endpoint": "https://www.calculatorx.com/api/v1/calc/uniform-point-at"
    },
    {
      "name": "cantilever-combined-at",
      "engine": "cantilever-combined-at",
      "description": "w; P; x; L; E; I. Cantilever uniform load plus a tip load. Deflection at x. I is an input",
      "page": "https://www.calculatorx.com/calc/physics/cantilever-combined-at",
      "endpoint": "https://www.calculatorx.com/api/v1/calc/cantilever-combined-at"
    },
    {
      "name": "beam-moment-uniform-at",
      "engine": "beam-moment-uniform-at",
      "description": "w; M; x; L; E; I. Uniform load plus one end moment. Deflection at x. I is an input",
      "page": "https://www.calculatorx.com/calc/physics/beam-moment-uniform-at",
      "endpoint": "https://www.calculatorx.com/api/v1/calc/beam-moment-uniform-at"
    },
    {
      "name": "cantilever-moment-tip-at",
      "engine": "cantilever-moment-tip-at",
      "description": "P; M; x; L; E; I. Cantilever tip load plus a tip moment. Deflection at x. I is an input",
      "page": "https://www.calculatorx.com/calc/physics/cantilever-moment-tip-at",
      "endpoint": "https://www.calculatorx.com/api/v1/calc/cantilever-moment-tip-at"
    },
    {
      "name": "uniform-end-moments-at",
      "engine": "uniform-end-moments-at",
      "description": "w; M; x; L; E; I. Uniform load plus equal end moments. Deflection at x. I is an input",
      "page": "https://www.calculatorx.com/calc/physics/uniform-end-moments-at",
      "endpoint": "https://www.calculatorx.com/api/v1/calc/uniform-end-moments-at"
    },
    {
      "name": "offset-uniform-at",
      "engine": "offset-uniform-at",
      "description": "w; P; a; x; L; E; I. Uniform load plus an offset point load. Deflection at x. I is an input",
      "page": "https://www.calculatorx.com/calc/physics/offset-uniform-at",
      "endpoint": "https://www.calculatorx.com/api/v1/calc/offset-uniform-at"
    },
    {
      "name": "cantilever-partial-tip-at",
      "engine": "cantilever-partial-tip-at",
      "description": "w; P; a; x; L; E; I. Partial uniform from the wall plus a tip load. Deflection at x. I is an input",
      "page": "https://www.calculatorx.com/calc/physics/cantilever-partial-tip-at",
      "endpoint": "https://www.calculatorx.com/api/v1/calc/cantilever-partial-tip-at"
    },
    {
      "name": "paired-uniform-at",
      "engine": "paired-uniform-at",
      "description": "w; P; a; x; L; E; I. Uniform load plus two equal point loads. Deflection at x. I is an input",
      "page": "https://www.calculatorx.com/calc/physics/paired-uniform-at",
      "endpoint": "https://www.calculatorx.com/api/v1/calc/paired-uniform-at"
    },
    {
      "name": "point-end-moments-at",
      "engine": "point-end-moments-at",
      "description": "P; M; x; L; E; I. Midspan point load plus equal end moments. Deflection at x. I is an input",
      "page": "https://www.calculatorx.com/calc/physics/point-end-moments-at",
      "endpoint": "https://www.calculatorx.com/api/v1/calc/point-end-moments-at"
    },
    {
      "name": "cantilever-uniform-moment-at",
      "engine": "cantilever-uniform-moment-at",
      "description": "w; M; x; L; E; I. Cantilever uniform load plus a tip moment. Deflection at x. I is an input",
      "page": "https://www.calculatorx.com/calc/physics/cantilever-uniform-moment-at",
      "endpoint": "https://www.calculatorx.com/api/v1/calc/cantilever-uniform-moment-at"
    },
    {
      "name": "offset-moment-at",
      "engine": "offset-moment-at",
      "description": "P; M; a; x; L; E; I. Offset point load plus one end moment. Deflection at x. I is an input",
      "page": "https://www.calculatorx.com/calc/physics/offset-moment-at",
      "endpoint": "https://www.calculatorx.com/api/v1/calc/offset-moment-at"
    },
    {
      "name": "cantilever-partial-moment-at",
      "engine": "cantilever-partial-moment-at",
      "description": "w; M; a; x; L; E; I. Partial uniform from the wall plus a tip moment. Deflection at x. I is an input",
      "page": "https://www.calculatorx.com/calc/physics/cantilever-partial-moment-at",
      "endpoint": "https://www.calculatorx.com/api/v1/calc/cantilever-partial-moment-at"
    },
    {
      "name": "point-moment-at",
      "engine": "point-moment-at",
      "description": "P; M; x; L; E; I. Midspan point load plus one end moment. Deflection at x. I is an input",
      "page": "https://www.calculatorx.com/calc/physics/point-moment-at",
      "endpoint": "https://www.calculatorx.com/api/v1/calc/point-moment-at"
    },
    {
      "name": "offset-end-moments-at",
      "engine": "offset-end-moments-at",
      "description": "P; M; a; x; L; E; I. Offset point load plus equal end moments. Deflection at x. I is an input",
      "page": "https://www.calculatorx.com/calc/physics/offset-end-moments-at",
      "endpoint": "https://www.calculatorx.com/api/v1/calc/offset-end-moments-at"
    },
    {
      "name": "paired-end-moments-at",
      "engine": "paired-end-moments-at",
      "description": "P; M; a; x; L; E; I. Two equal point loads plus equal end moments. Deflection at x. I is an input",
      "page": "https://www.calculatorx.com/calc/physics/paired-end-moments-at",
      "endpoint": "https://www.calculatorx.com/api/v1/calc/paired-end-moments-at"
    },
    {
      "name": "cantilever-outer-moment-at",
      "engine": "cantilever-outer-moment-at",
      "description": "w; M; a; x; L; E; I. Outer uniform plus a tip moment. Deflection at x. I is an input",
      "page": "https://www.calculatorx.com/calc/physics/cantilever-outer-moment-at",
      "endpoint": "https://www.calculatorx.com/api/v1/calc/cantilever-outer-moment-at"
    },
    {
      "name": "center-point-at",
      "engine": "center-point-at",
      "description": "w0; P; x; L; E; I. Center-peaked triangle plus a midspan point load. Deflection at x. I is an input",
      "page": "https://www.calculatorx.com/calc/physics/center-point-at",
      "endpoint": "https://www.calculatorx.com/api/v1/calc/center-point-at"
    },
    {
      "name": "end-point-at",
      "engine": "end-point-at",
      "description": "w0; P; x; L; E; I. End-peaked triangle plus a midspan point load. Deflection at x. I is an input",
      "page": "https://www.calculatorx.com/calc/physics/end-point-at",
      "endpoint": "https://www.calculatorx.com/api/v1/calc/end-point-at"
    },
    {
      "name": "center-end-moments-at",
      "engine": "center-end-moments-at",
      "description": "w0; M; x; L; E; I. Center-peaked triangle plus equal end moments. Deflection at x. I is an input",
      "page": "https://www.calculatorx.com/calc/physics/center-end-moments-at",
      "endpoint": "https://www.calculatorx.com/api/v1/calc/center-end-moments-at"
    },
    {
      "name": "cantilever-outer-tip-at",
      "engine": "cantilever-outer-tip-at",
      "description": "w; P; a; x; L; E; I. Outer uniform plus a tip load. Deflection at x. I is an input",
      "page": "https://www.calculatorx.com/calc/physics/cantilever-outer-tip-at",
      "endpoint": "https://www.calculatorx.com/api/v1/calc/cantilever-outer-tip-at"
    },
    {
      "name": "end-end-moments-at",
      "engine": "end-end-moments-at",
      "description": "w0; M; x; L; E; I. End-peaked triangle plus equal end moments. Deflection at x. I is an input",
      "page": "https://www.calculatorx.com/calc/physics/end-end-moments-at",
      "endpoint": "https://www.calculatorx.com/api/v1/calc/end-end-moments-at"
    },
    {
      "name": "cantilever-wall-triangle-load-at",
      "engine": "cantilever-wall-triangle-load-at",
      "description": "w0; P; x; L; E; I. Wall-peak cantilever triangle plus a tip load. Deflection at x. I is an input",
      "page": "https://www.calculatorx.com/calc/physics/cantilever-wall-triangle-load-at",
      "endpoint": "https://www.calculatorx.com/api/v1/calc/cantilever-wall-triangle-load-at"
    },
    {
      "name": "cantilever-tip-triangle-load-at",
      "engine": "cantilever-tip-triangle-load-at",
      "description": "w0; P; x; L; E; I. Tip-peak cantilever triangle plus a tip load. Deflection at x. I is an input",
      "page": "https://www.calculatorx.com/calc/physics/cantilever-tip-triangle-load-at",
      "endpoint": "https://www.calculatorx.com/api/v1/calc/cantilever-tip-triangle-load-at"
    },
    {
      "name": "triangular-point-at",
      "engine": "triangular-point-at",
      "description": "w0; P; x; L; E; I. One-sided triangle plus a midspan point load. Deflection at x. I is an input",
      "page": "https://www.calculatorx.com/calc/physics/triangular-point-at",
      "endpoint": "https://www.calculatorx.com/api/v1/calc/triangular-point-at"
    },
    {
      "name": "cantilever-wall-triangle-moment-at",
      "engine": "cantilever-wall-triangle-moment-at",
      "description": "w0; M; x; L; E; I. Wall-peak cantilever triangle plus a tip moment. Deflection at x. I is an input",
      "page": "https://www.calculatorx.com/calc/physics/cantilever-wall-triangle-moment-at",
      "endpoint": "https://www.calculatorx.com/api/v1/calc/cantilever-wall-triangle-moment-at"
    },
    {
      "name": "cantilever-tip-triangle-moment-at",
      "engine": "cantilever-tip-triangle-moment-at",
      "description": "w0; M; x; L; E; I. Tip-peak cantilever triangle plus a tip moment. Deflection at x. I is an input",
      "page": "https://www.calculatorx.com/calc/physics/cantilever-tip-triangle-moment-at",
      "endpoint": "https://www.calculatorx.com/api/v1/calc/cantilever-tip-triangle-moment-at"
    },
    {
      "name": "cantilever-wall-triangle-uniform-at",
      "engine": "cantilever-wall-triangle-uniform-at",
      "description": "w0; w; x; L; E; I. Wall-peak cantilever triangle plus a uniform load. Deflection at x. I is an input",
      "page": "https://www.calculatorx.com/calc/physics/cantilever-wall-triangle-uniform-at",
      "endpoint": "https://www.calculatorx.com/api/v1/calc/cantilever-wall-triangle-uniform-at"
    },
    {
      "name": "cantilever-tip-triangle-uniform-at",
      "engine": "cantilever-tip-triangle-uniform-at",
      "description": "w0; w; x; L; E; I. Tip-peak cantilever triangle plus a uniform load. Deflection at x. I is an input",
      "page": "https://www.calculatorx.com/calc/physics/cantilever-tip-triangle-uniform-at",
      "endpoint": "https://www.calculatorx.com/api/v1/calc/cantilever-tip-triangle-uniform-at"
    },
    {
      "name": "triangular-uniform-at",
      "engine": "triangular-uniform-at",
      "description": "w0; w; x; L; E; I. One-sided triangle plus a uniform load. Deflection at x. I is an input",
      "page": "https://www.calculatorx.com/calc/physics/triangular-uniform-at",
      "endpoint": "https://www.calculatorx.com/api/v1/calc/triangular-uniform-at"
    },
    {
      "name": "center-uniform-at",
      "engine": "center-uniform-at",
      "description": "w0; w; x; L; E; I. Center-peaked triangle plus a uniform load. Deflection at x. I is an input",
      "page": "https://www.calculatorx.com/calc/physics/center-uniform-at",
      "endpoint": "https://www.calculatorx.com/api/v1/calc/center-uniform-at"
    },
    {
      "name": "end-uniform-at",
      "engine": "end-uniform-at",
      "description": "w0; w; x; L; E; I. End-peaked triangle plus a uniform load. Deflection at x. I is an input",
      "page": "https://www.calculatorx.com/calc/physics/end-uniform-at",
      "endpoint": "https://www.calculatorx.com/api/v1/calc/end-uniform-at"
    },
    {
      "name": "cantilever-wall-triangle-partial-at",
      "engine": "cantilever-wall-triangle-partial-at",
      "description": "w0; w; a; x; L; E; I. Wall-peak cantilever triangle plus a partial uniform load. Deflection at x. I is an input",
      "page": "https://www.calculatorx.com/calc/physics/cantilever-wall-triangle-partial-at",
      "endpoint": "https://www.calculatorx.com/api/v1/calc/cantilever-wall-triangle-partial-at"
    },
    {
      "name": "cantilever-tip-triangle-partial-at",
      "engine": "cantilever-tip-triangle-partial-at",
      "description": "w0; w; a; x; L; E; I. Tip-peak cantilever triangle plus a partial uniform load. Deflection at x. I is an input",
      "page": "https://www.calculatorx.com/calc/physics/cantilever-tip-triangle-partial-at",
      "endpoint": "https://www.calculatorx.com/api/v1/calc/cantilever-tip-triangle-partial-at"
    },
    {
      "name": "cantilever-wall-triangle-outer-at",
      "engine": "cantilever-wall-triangle-outer-at",
      "description": "w0; w; a; x; L; E; I. Wall-peak cantilever triangle plus an outer uniform load. Deflection at x. I is an input",
      "page": "https://www.calculatorx.com/calc/physics/cantilever-wall-triangle-outer-at",
      "endpoint": "https://www.calculatorx.com/api/v1/calc/cantilever-wall-triangle-outer-at"
    },
    {
      "name": "cantilever-tip-triangle-outer-at",
      "engine": "cantilever-tip-triangle-outer-at",
      "description": "w0; w; a; x; L; E; I. Tip-peak cantilever triangle plus an outer uniform load. Deflection at x. I is an input",
      "page": "https://www.calculatorx.com/calc/physics/cantilever-tip-triangle-outer-at",
      "endpoint": "https://www.calculatorx.com/api/v1/calc/cantilever-tip-triangle-outer-at"
    },
    {
      "name": "cantilever-wall-triangle-uniform-load-at",
      "engine": "cantilever-wall-triangle-uniform-load-at",
      "description": "w0; w; P; x; L; E; I. Wall-peak triangle plus uniform load plus a tip load. Deflection at x. I is an input",
      "page": "https://www.calculatorx.com/calc/physics/cantilever-wall-triangle-uniform-load-at",
      "endpoint": "https://www.calculatorx.com/api/v1/calc/cantilever-wall-triangle-uniform-load-at"
    },
    {
      "name": "cantilever-tip-triangle-uniform-load-at",
      "engine": "cantilever-tip-triangle-uniform-load-at",
      "description": "w0; w; P; x; L; E; I. Tip-peak triangle plus uniform load plus a tip load. Deflection at x. I is an input",
      "page": "https://www.calculatorx.com/calc/physics/cantilever-tip-triangle-uniform-load-at",
      "endpoint": "https://www.calculatorx.com/api/v1/calc/cantilever-tip-triangle-uniform-load-at"
    },
    {
      "name": "triangular-uniform-point-at",
      "engine": "triangular-uniform-point-at",
      "description": "w0; w; P; x; L; E; I. One-sided triangle plus uniform load plus a midspan point load. Deflection at x. I is an input",
      "page": "https://www.calculatorx.com/calc/physics/triangular-uniform-point-at",
      "endpoint": "https://www.calculatorx.com/api/v1/calc/triangular-uniform-point-at"
    },
    {
      "name": "center-uniform-point-at",
      "engine": "center-uniform-point-at",
      "description": "w0; w; P; x; L; E; I. Center-peaked triangle plus uniform load plus a midspan point load. Deflection at x. I is an input",
      "page": "https://www.calculatorx.com/calc/physics/center-uniform-point-at",
      "endpoint": "https://www.calculatorx.com/api/v1/calc/center-uniform-point-at"
    },
    {
      "name": "end-uniform-point-at",
      "engine": "end-uniform-point-at",
      "description": "w0; w; P; x; L; E; I. End-peaked triangle plus uniform load plus a midspan point load. Deflection at x. I is an input",
      "page": "https://www.calculatorx.com/calc/physics/end-uniform-point-at",
      "endpoint": "https://www.calculatorx.com/api/v1/calc/end-uniform-point-at"
    },
    {
      "name": "cantilever-wall-triangle-uniform-moment-at",
      "engine": "cantilever-wall-triangle-uniform-moment-at",
      "description": "w0; w; M; x; L; E; I. Wall-peak triangle plus uniform load plus a tip moment. Deflection at x. I is an input",
      "page": "https://www.calculatorx.com/calc/physics/cantilever-wall-triangle-uniform-moment-at",
      "endpoint": "https://www.calculatorx.com/api/v1/calc/cantilever-wall-triangle-uniform-moment-at"
    },
    {
      "name": "cantilever-tip-triangle-uniform-moment-at",
      "engine": "cantilever-tip-triangle-uniform-moment-at",
      "description": "w0; w; M; x; L; E; I. Tip-peak triangle plus uniform load plus a tip moment. Deflection at x. I is an input",
      "page": "https://www.calculatorx.com/calc/physics/cantilever-tip-triangle-uniform-moment-at",
      "endpoint": "https://www.calculatorx.com/api/v1/calc/cantilever-tip-triangle-uniform-moment-at"
    },
    {
      "name": "triangular-uniform-end-moments-at",
      "engine": "triangular-uniform-end-moments-at",
      "description": "w0; w; M; x; L; E; I. One-sided triangle plus uniform load plus equal end moments. Deflection at x. I is an input",
      "page": "https://www.calculatorx.com/calc/physics/triangular-uniform-end-moments-at",
      "endpoint": "https://www.calculatorx.com/api/v1/calc/triangular-uniform-end-moments-at"
    },
    {
      "name": "center-uniform-end-moments-at",
      "engine": "center-uniform-end-moments-at",
      "description": "w0; w; M; x; L; E; I. Center-peaked triangle plus uniform load plus equal end moments. Deflection at x. I is an input",
      "page": "https://www.calculatorx.com/calc/physics/center-uniform-end-moments-at",
      "endpoint": "https://www.calculatorx.com/api/v1/calc/center-uniform-end-moments-at"
    },
    {
      "name": "end-uniform-end-moments-at",
      "engine": "end-uniform-end-moments-at",
      "description": "w0; w; M; x; L; E; I. End-peaked triangle plus uniform load plus equal end moments. Deflection at x. I is an input",
      "page": "https://www.calculatorx.com/calc/physics/end-uniform-end-moments-at",
      "endpoint": "https://www.calculatorx.com/api/v1/calc/end-uniform-end-moments-at"
    },
    {
      "name": "cantilever-wall-triangle-partial-load-at",
      "engine": "cantilever-wall-triangle-partial-load-at",
      "description": "w0; w; a; P; x; L; E; I. Wall-peak triangle plus a partial uniform load plus a tip load. Deflection at x. I is an input",
      "page": "https://www.calculatorx.com/calc/physics/cantilever-wall-triangle-partial-load-at",
      "endpoint": "https://www.calculatorx.com/api/v1/calc/cantilever-wall-triangle-partial-load-at"
    },
    {
      "name": "cantilever-wall-triangle-partial-load-moment-at",
      "engine": "cantilever-wall-triangle-partial-load-moment-at",
      "description": "w0; w; P; M; a; x; L; E; I. Triangle plus a partial or outer uniform load plus a tip load plus a tip moment. Deflection at x. I is an input",
      "page": "https://www.calculatorx.com/workspace/beam",
      "endpoint": "https://www.calculatorx.com/api/v1/calc/cantilever-wall-triangle-partial-load-moment-at"
    },
    {
      "name": "cantilever-tip-triangle-partial-load-at",
      "engine": "cantilever-tip-triangle-partial-load-at",
      "description": "w0; w; a; P; x; L; E; I. Tip-peak triangle plus a partial uniform load plus a tip load. Deflection at x. I is an input",
      "page": "https://www.calculatorx.com/calc/physics/cantilever-tip-triangle-partial-load-at",
      "endpoint": "https://www.calculatorx.com/api/v1/calc/cantilever-tip-triangle-partial-load-at"
    },
    {
      "name": "cantilever-tip-triangle-partial-load-moment-at",
      "engine": "cantilever-tip-triangle-partial-load-moment-at",
      "description": "w0; w; P; M; a; x; L; E; I. Triangle plus a partial or outer uniform load plus a tip load plus a tip moment. Deflection at x. I is an input",
      "page": "https://www.calculatorx.com/workspace/beam",
      "endpoint": "https://www.calculatorx.com/api/v1/calc/cantilever-tip-triangle-partial-load-moment-at"
    },
    {
      "name": "cantilever-wall-triangle-outer-load-at",
      "engine": "cantilever-wall-triangle-outer-load-at",
      "description": "w0; w; a; P; x; L; E; I. Wall-peak triangle plus an outer uniform load plus a tip load. Deflection at x. I is an input",
      "page": "https://www.calculatorx.com/calc/physics/cantilever-wall-triangle-outer-load-at",
      "endpoint": "https://www.calculatorx.com/api/v1/calc/cantilever-wall-triangle-outer-load-at"
    },
    {
      "name": "cantilever-wall-triangle-outer-load-moment-at",
      "engine": "cantilever-wall-triangle-outer-load-moment-at",
      "description": "w0; w; P; M; a; x; L; E; I. Triangle plus a partial or outer uniform load plus a tip load plus a tip moment. Deflection at x. I is an input",
      "page": "https://www.calculatorx.com/workspace/beam",
      "endpoint": "https://www.calculatorx.com/api/v1/calc/cantilever-wall-triangle-outer-load-moment-at"
    },
    {
      "name": "cantilever-tip-triangle-outer-load-at",
      "engine": "cantilever-tip-triangle-outer-load-at",
      "description": "w0; w; a; P; x; L; E; I. Tip-peak triangle plus an outer uniform load plus a tip load. Deflection at x. I is an input",
      "page": "https://www.calculatorx.com/calc/physics/cantilever-tip-triangle-outer-load-at",
      "endpoint": "https://www.calculatorx.com/api/v1/calc/cantilever-tip-triangle-outer-load-at"
    },
    {
      "name": "cantilever-tip-triangle-outer-load-moment-at",
      "engine": "cantilever-tip-triangle-outer-load-moment-at",
      "description": "w0; w; P; M; a; x; L; E; I. Triangle plus a partial or outer uniform load plus a tip load plus a tip moment. Deflection at x. I is an input",
      "page": "https://www.calculatorx.com/workspace/beam",
      "endpoint": "https://www.calculatorx.com/api/v1/calc/cantilever-tip-triangle-outer-load-moment-at"
    },
    {
      "name": "cantilever-wall-triangle-partial-moment-at",
      "engine": "cantilever-wall-triangle-partial-moment-at",
      "description": "w0; w; a; M; x; L; E; I. Wall-peak triangle plus an partial uniform load plus a tip moment. Deflection at x. I is an input",
      "page": "https://www.calculatorx.com/calc/physics/cantilever-wall-triangle-partial-moment-at",
      "endpoint": "https://www.calculatorx.com/api/v1/calc/cantilever-wall-triangle-partial-moment-at"
    },
    {
      "name": "cantilever-tip-triangle-partial-moment-at",
      "engine": "cantilever-tip-triangle-partial-moment-at",
      "description": "w0; w; a; M; x; L; E; I. Tip-peak triangle plus an partial uniform load plus a tip moment. Deflection at x. I is an input",
      "page": "https://www.calculatorx.com/calc/physics/cantilever-tip-triangle-partial-moment-at",
      "endpoint": "https://www.calculatorx.com/api/v1/calc/cantilever-tip-triangle-partial-moment-at"
    },
    {
      "name": "cantilever-wall-triangle-outer-moment-at",
      "engine": "cantilever-wall-triangle-outer-moment-at",
      "description": "w0; w; a; M; x; L; E; I. Wall-peak triangle plus an outer uniform load plus a tip moment. Deflection at x. I is an input",
      "page": "https://www.calculatorx.com/calc/physics/cantilever-wall-triangle-outer-moment-at",
      "endpoint": "https://www.calculatorx.com/api/v1/calc/cantilever-wall-triangle-outer-moment-at"
    },
    {
      "name": "cantilever-tip-triangle-outer-moment-at",
      "engine": "cantilever-tip-triangle-outer-moment-at",
      "description": "w0; w; a; M; x; L; E; I. Tip-peak triangle plus an outer uniform load plus a tip moment. Deflection at x. I is an input",
      "page": "https://www.calculatorx.com/calc/physics/cantilever-tip-triangle-outer-moment-at",
      "endpoint": "https://www.calculatorx.com/api/v1/calc/cantilever-tip-triangle-outer-moment-at"
    },
    {
      "name": "offset-uniform-end-moments-at",
      "engine": "offset-uniform-end-moments-at",
      "description": "w; P; M; a; x; L; E; I. Offset load plus uniform load plus equal end moments. Deflection at x. I is an input",
      "page": "https://www.calculatorx.com/calc/physics/offset-uniform-end-moments-at",
      "endpoint": "https://www.calculatorx.com/api/v1/calc/offset-uniform-end-moments-at"
    },
    {
      "name": "offset-uniform-moment-at",
      "engine": "offset-uniform-moment-at",
      "description": "w; P; M; a; x; L; E; I. Offset load plus uniform load plus one end moment. Deflection at x. I is an input",
      "page": "https://www.calculatorx.com/calc/physics/offset-uniform-moment-at",
      "endpoint": "https://www.calculatorx.com/api/v1/calc/offset-uniform-moment-at"
    },
    {
      "name": "paired-uniform-moment-at",
      "engine": "paired-uniform-moment-at",
      "description": "w; P; M; a; x; L; E; I. Paired loads plus uniform load plus one end moment. Deflection at x. I is an input",
      "page": "https://www.calculatorx.com/calc/physics/paired-uniform-moment-at",
      "endpoint": "https://www.calculatorx.com/api/v1/calc/paired-uniform-moment-at"
    },
    {
      "name": "triangular-uniform-moment-at",
      "engine": "triangular-uniform-moment-at",
      "description": "w0; w; M; x; L; E; I. One-sided triangle plus uniform load plus one end moment. Deflection at x. I is an input",
      "page": "https://www.calculatorx.com/calc/physics/triangular-uniform-moment-at",
      "endpoint": "https://www.calculatorx.com/api/v1/calc/triangular-uniform-moment-at"
    },
    {
      "name": "center-uniform-moment-at",
      "engine": "center-uniform-moment-at",
      "description": "w0; w; M; x; L; E; I. Center-peaked triangle plus uniform load plus one end moment. Deflection at x. I is an input",
      "page": "https://www.calculatorx.com/calc/physics/center-uniform-moment-at",
      "endpoint": "https://www.calculatorx.com/api/v1/calc/center-uniform-moment-at"
    },
    {
      "name": "end-uniform-moment-at",
      "engine": "end-uniform-moment-at",
      "description": "w0; w; M; x; L; E; I. End-peaked triangle plus uniform load plus one end moment. Deflection at x. I is an input",
      "page": "https://www.calculatorx.com/calc/physics/end-uniform-moment-at",
      "endpoint": "https://www.calculatorx.com/api/v1/calc/end-uniform-moment-at"
    },
    {
      "name": "triangular-point-moment-at",
      "engine": "triangular-point-moment-at",
      "description": "w0; P; M; x; L; E; I. One-sided triangle plus a midspan point load plus one end moment. Deflection at x. I is an input",
      "page": "https://www.calculatorx.com/workspace/beam",
      "endpoint": "https://www.calculatorx.com/api/v1/calc/triangular-point-moment-at"
    },
    {
      "name": "triangular-point-end-moments-at",
      "engine": "triangular-point-end-moments-at",
      "description": "w0; P; M; x; L; E; I. One-sided triangle plus a midspan point load plus equal end moments. Deflection at x. I is an input",
      "page": "https://www.calculatorx.com/workspace/beam",
      "endpoint": "https://www.calculatorx.com/api/v1/calc/triangular-point-end-moments-at"
    },
    {
      "name": "center-point-moment-at",
      "engine": "center-point-moment-at",
      "description": "w0; P; M; x; L; E; I. Center-peaked triangle plus a midspan point load plus one end moment. Deflection at x. I is an input",
      "page": "https://www.calculatorx.com/workspace/beam",
      "endpoint": "https://www.calculatorx.com/api/v1/calc/center-point-moment-at"
    },
    {
      "name": "center-point-end-moments-at",
      "engine": "center-point-end-moments-at",
      "description": "w0; P; M; x; L; E; I. Center-peaked triangle plus a midspan point load plus equal end moments. Deflection at x. I is an input",
      "page": "https://www.calculatorx.com/workspace/beam",
      "endpoint": "https://www.calculatorx.com/api/v1/calc/center-point-end-moments-at"
    },
    {
      "name": "cantilever-partial-tip-moment-at",
      "engine": "cantilever-partial-tip-moment-at",
      "description": "w; P; M; a; x; L; E; I. Partial uniform plus a tip load plus a tip moment. Deflection at x. I is an input",
      "page": "https://www.calculatorx.com/workspace/beam",
      "endpoint": "https://www.calculatorx.com/api/v1/calc/cantilever-partial-tip-moment-at"
    },
    {
      "name": "cantilever-outer-tip-moment-at",
      "engine": "cantilever-outer-tip-moment-at",
      "description": "w; P; M; a; x; L; E; I. Outer uniform plus a tip load plus a tip moment. Deflection at x. I is an input",
      "page": "https://www.calculatorx.com/workspace/beam",
      "endpoint": "https://www.calculatorx.com/api/v1/calc/cantilever-outer-tip-moment-at"
    },
    {
      "name": "cantilever-combined-moment-at",
      "engine": "cantilever-combined-moment-at",
      "description": "w; P; M; x; L; E; I. Uniform load plus a tip load plus a tip moment. Deflection at x. I is an input",
      "page": "https://www.calculatorx.com/workspace/beam",
      "endpoint": "https://www.calculatorx.com/api/v1/calc/cantilever-combined-moment-at"
    },
    {
      "name": "uniform-point-moment-at",
      "engine": "uniform-point-moment-at",
      "description": "w; P; M; x; L; E; I. Uniform load plus a midspan point load plus one end moment. Deflection at x. I is an input",
      "page": "https://www.calculatorx.com/workspace/beam",
      "endpoint": "https://www.calculatorx.com/api/v1/calc/uniform-point-moment-at"
    },
    {
      "name": "uniform-point-end-moments-at",
      "engine": "uniform-point-end-moments-at",
      "description": "w; P; M; x; L; E; I. Uniform load plus a midspan point load plus equal end moments. Deflection at x. I is an input",
      "page": "https://www.calculatorx.com/workspace/beam",
      "endpoint": "https://www.calculatorx.com/api/v1/calc/uniform-point-end-moments-at"
    },
    {
      "name": "end-point-moment-at",
      "engine": "end-point-moment-at",
      "description": "w0; P; M; x; L; E; I. End-peaked triangle plus a midspan point load plus one end moment. Deflection at x. I is an input",
      "page": "https://www.calculatorx.com/workspace/beam",
      "endpoint": "https://www.calculatorx.com/api/v1/calc/end-point-moment-at"
    },
    {
      "name": "end-point-end-moments-at",
      "engine": "end-point-end-moments-at",
      "description": "w0; P; M; x; L; E; I. End-peaked triangle plus a midspan point load plus equal end moments. Deflection at x. I is an input",
      "page": "https://www.calculatorx.com/workspace/beam",
      "endpoint": "https://www.calculatorx.com/api/v1/calc/end-point-end-moments-at"
    },
    {
      "name": "paired-uniform-end-moments-at",
      "engine": "paired-uniform-end-moments-at",
      "description": "w; P; M; a; x; L; E; I. Paired loads plus uniform load plus equal end moments. Deflection at x. I is an input",
      "page": "https://www.calculatorx.com/calc/physics/paired-uniform-end-moments-at",
      "endpoint": "https://www.calculatorx.com/api/v1/calc/paired-uniform-end-moments-at"
    },
    {
      "name": "triangular-uniform-point-end-moments-at",
      "engine": "triangular-uniform-point-end-moments-at",
      "description": "w0; w; P; M; x; L; E; I. One-sided triangle plus uniform plus a midspan point load plus equal end moments. Deflection at x. I is an input",
      "page": "https://www.calculatorx.com/workspace/beam",
      "endpoint": "https://www.calculatorx.com/api/v1/calc/triangular-uniform-point-end-moments-at"
    },
    {
      "name": "center-uniform-point-end-moments-at",
      "engine": "center-uniform-point-end-moments-at",
      "description": "w0; w; P; M; x; L; E; I. Center-peaked triangle plus uniform plus a midspan point load plus equal end moments. Deflection at x. I is an input",
      "page": "https://www.calculatorx.com/workspace/beam",
      "endpoint": "https://www.calculatorx.com/api/v1/calc/center-uniform-point-end-moments-at"
    },
    {
      "name": "end-uniform-point-end-moments-at",
      "engine": "end-uniform-point-end-moments-at",
      "description": "w0; w; P; M; x; L; E; I. End-peaked triangle plus uniform plus a midspan point load plus equal end moments. Deflection at x. I is an input",
      "page": "https://www.calculatorx.com/workspace/beam",
      "endpoint": "https://www.calculatorx.com/api/v1/calc/end-uniform-point-end-moments-at"
    },
    {
      "name": "cantilever-wall-triangle-uniform-load-moment-at",
      "engine": "cantilever-wall-triangle-uniform-load-moment-at",
      "description": "w0; w; P; M; x; L; E; I. Wall-peak triangle plus uniform plus a tip load plus a tip moment. Deflection at x. I is an input",
      "page": "https://www.calculatorx.com/workspace/beam",
      "endpoint": "https://www.calculatorx.com/api/v1/calc/cantilever-wall-triangle-uniform-load-moment-at"
    },
    {
      "name": "triangular-uniform-point-moment-at",
      "engine": "triangular-uniform-point-moment-at",
      "description": "w0; w; P; M; x; L; E; I. One-sided triangle plus uniform plus a midspan point load plus one end moment. Deflection at x. I is an input",
      "page": "https://www.calculatorx.com/workspace/beam",
      "endpoint": "https://www.calculatorx.com/api/v1/calc/triangular-uniform-point-moment-at"
    },
    {
      "name": "center-uniform-point-moment-at",
      "engine": "center-uniform-point-moment-at",
      "description": "w0; w; P; M; x; L; E; I. Center-peaked triangle plus uniform plus a midspan point load plus one end moment. Deflection at x. I is an input",
      "page": "https://www.calculatorx.com/workspace/beam",
      "endpoint": "https://www.calculatorx.com/api/v1/calc/center-uniform-point-moment-at"
    },
    {
      "name": "end-uniform-point-moment-at",
      "engine": "end-uniform-point-moment-at",
      "description": "w0; w; P; M; x; L; E; I. End-peaked triangle plus uniform plus a midspan point load plus one end moment. Deflection at x. I is an input",
      "page": "https://www.calculatorx.com/workspace/beam",
      "endpoint": "https://www.calculatorx.com/api/v1/calc/end-uniform-point-moment-at"
    },
    {
      "name": "cantilever-tip-triangle-uniform-load-moment-at",
      "engine": "cantilever-tip-triangle-uniform-load-moment-at",
      "description": "w0; w; P; M; x; L; E; I. Tip-peak triangle plus uniform plus a tip load plus a tip moment. Deflection at x. I is an input",
      "page": "https://www.calculatorx.com/workspace/beam",
      "endpoint": "https://www.calculatorx.com/api/v1/calc/cantilever-tip-triangle-uniform-load-moment-at"
    },
    {
      "name": "cantilever-wall-triangle-load-moment-at",
      "engine": "cantilever-wall-triangle-load-moment-at",
      "description": "w0; P; M; x; L; E; I. Wall-peak triangle plus a tip load plus a tip moment. Deflection at x. I is an input",
      "page": "https://www.calculatorx.com/workspace/beam",
      "endpoint": "https://www.calculatorx.com/api/v1/calc/cantilever-wall-triangle-load-moment-at"
    },
    {
      "name": "cantilever-tip-triangle-load-moment-at",
      "engine": "cantilever-tip-triangle-load-moment-at",
      "description": "w0; P; M; x; L; E; I. Tip-peak triangle plus a tip load plus a tip moment. Deflection at x. I is an input",
      "page": "https://www.calculatorx.com/workspace/beam",
      "endpoint": "https://www.calculatorx.com/api/v1/calc/cantilever-tip-triangle-load-moment-at"
    },
    {
      "name": "cantilever-load-moment-at",
      "engine": "cantilever-load-moment-at",
      "description": "P; M; a; x; L; E; I. Intermediate load plus a tip moment. Deflection at x. I is an input",
      "page": "https://www.calculatorx.com/workspace/beam",
      "endpoint": "https://www.calculatorx.com/api/v1/calc/cantilever-load-moment-at"
    },
    {
      "name": "overhang-span-moment-at",
      "engine": "overhang-span-moment-at",
      "description": "P; M; a; x; L; E; I. Overhang span plus one end moment. Deflection at x. I is an input",
      "page": "https://www.calculatorx.com/workspace/beam",
      "endpoint": "https://www.calculatorx.com/api/v1/calc/overhang-span-moment-at"
    },
    {
      "name": "overhang-span-end-moments-at",
      "engine": "overhang-span-end-moments-at",
      "description": "P; M; a; x; L; E; I. Overhang span plus equal end moments. Deflection at x. I is an input",
      "page": "https://www.calculatorx.com/workspace/beam",
      "endpoint": "https://www.calculatorx.com/api/v1/calc/overhang-span-end-moments-at"
    },
    {
      "name": "cantilever-moment-at-curve-tip-at",
      "engine": "cantilever-moment-at-curve-tip-at",
      "description": "M; P; a; x; L; E; I. Intermediate moment plus a tip load. Deflection at x. I is an input",
      "page": "https://www.calculatorx.com/calc/mechanical/cantilever-moment-at-curve-tip-at",
      "endpoint": "https://www.calculatorx.com/api/v1/calc/cantilever-moment-at-curve-tip-at"
    },
    {
      "name": "cantilever-moment-at-curve-uniform-at",
      "engine": "cantilever-moment-at-curve-uniform-at",
      "description": "M; w; a; x; L; E; I. Intermediate moment plus a uniform load. Deflection at x. I is an input",
      "page": "https://www.calculatorx.com/calc/mechanical/cantilever-moment-at-curve-uniform-at",
      "endpoint": "https://www.calculatorx.com/api/v1/calc/cantilever-moment-at-curve-uniform-at"
    },
    {
      "name": "cantilever-moment-at-curve-uniform-tip-at",
      "engine": "cantilever-moment-at-curve-uniform-tip-at",
      "description": "M; w; P; a; x; L; E; I. Intermediate moment plus uniform plus a tip load. Deflection at x. I is an input",
      "page": "https://www.calculatorx.com/calc/mechanical/cantilever-moment-at-curve-uniform-tip-at",
      "endpoint": "https://www.calculatorx.com/api/v1/calc/cantilever-moment-at-curve-uniform-tip-at"
    },
    {
      "name": "cantilever-moment-at-curve-moment-at",
      "engine": "cantilever-moment-at-curve-moment-at",
      "description": "M; Mt; a; x; L; E; I. Intermediate moment plus a tip moment. Deflection at x. I is an input",
      "page": "https://www.calculatorx.com/calc/mechanical/cantilever-moment-at-curve-moment-at",
      "endpoint": "https://www.calculatorx.com/api/v1/calc/cantilever-moment-at-curve-moment-at"
    },
    {
      "name": "cantilever-moment-at-curve-tip-moment-at",
      "engine": "cantilever-moment-at-curve-tip-moment-at",
      "description": "M; Mt; P; a; x; L; E; I. Intermediate moment plus tip load plus tip moment. Deflection at x. I is an input",
      "page": "https://www.calculatorx.com/calc/mechanical/cantilever-moment-at-curve-tip-moment-at",
      "endpoint": "https://www.calculatorx.com/api/v1/calc/cantilever-moment-at-curve-tip-moment-at"
    },
    {
      "name": "cantilever-moment-at-curve-uniform-moment-at",
      "engine": "cantilever-moment-at-curve-uniform-moment-at",
      "description": "M; Mt; w; a; x; L; E; I. Intermediate moment plus uniform plus tip moment. Deflection at x. I is an input",
      "page": "https://www.calculatorx.com/calc/mechanical/cantilever-moment-at-curve-uniform-moment-at",
      "endpoint": "https://www.calculatorx.com/api/v1/calc/cantilever-moment-at-curve-uniform-moment-at"
    },
    {
      "name": "cantilever-moment-at-curve-uniform-tip-moment-at",
      "engine": "cantilever-moment-at-curve-uniform-tip-moment-at",
      "description": "M; Mt; w; P; a; x; L; E; I. Intermediate moment plus uniform plus tip load plus tip moment. Deflection at x. I is an input",
      "page": "https://www.calculatorx.com/calc/mechanical/cantilever-moment-at-curve-uniform-tip-moment-at",
      "endpoint": "https://www.calculatorx.com/api/v1/calc/cantilever-moment-at-curve-uniform-tip-moment-at"
    },
    {
      "name": "cantilever-moment-at-curve-partial-at",
      "engine": "cantilever-moment-at-curve-partial-at",
      "description": "M; w; a; x; L; E; I. Intermediate moment plus distributed. Deflection at x. I is an input",
      "page": "https://www.calculatorx.com/calc/mechanical/cantilever-moment-at-curve-partial-at",
      "endpoint": "https://www.calculatorx.com/api/v1/calc/cantilever-moment-at-curve-partial-at"
    },
    {
      "name": "cantilever-moment-at-curve-partial-moment-at",
      "engine": "cantilever-moment-at-curve-partial-moment-at",
      "description": "M; Mt; w; a; x; L; E; I. Intermediate moment plus distributed. Deflection at x. I is an input",
      "page": "https://www.calculatorx.com/calc/mechanical/cantilever-moment-at-curve-partial-moment-at",
      "endpoint": "https://www.calculatorx.com/api/v1/calc/cantilever-moment-at-curve-partial-moment-at"
    },
    {
      "name": "cantilever-moment-at-curve-outer-at",
      "engine": "cantilever-moment-at-curve-outer-at",
      "description": "M; w; a; x; L; E; I. Intermediate moment plus distributed. Deflection at x. I is an input",
      "page": "https://www.calculatorx.com/calc/mechanical/cantilever-moment-at-curve-outer-at",
      "endpoint": "https://www.calculatorx.com/api/v1/calc/cantilever-moment-at-curve-outer-at"
    },
    {
      "name": "cantilever-moment-at-curve-outer-moment-at",
      "engine": "cantilever-moment-at-curve-outer-moment-at",
      "description": "M; Mt; w; a; x; L; E; I. Intermediate moment plus distributed. Deflection at x. I is an input",
      "page": "https://www.calculatorx.com/calc/mechanical/cantilever-moment-at-curve-outer-moment-at",
      "endpoint": "https://www.calculatorx.com/api/v1/calc/cantilever-moment-at-curve-outer-moment-at"
    },
    {
      "name": "cantilever-moment-at-curve-partial-tip-at",
      "engine": "cantilever-moment-at-curve-partial-tip-at",
      "description": "M; P; w; a; x; L; E; I. Intermediate moment plus distributed plus tip. Deflection at x. I is an input",
      "page": "https://www.calculatorx.com/calc/mechanical/cantilever-moment-at-curve-partial-tip-at",
      "endpoint": "https://www.calculatorx.com/api/v1/calc/cantilever-moment-at-curve-partial-tip-at"
    },
    {
      "name": "cantilever-moment-at-curve-partial-tip-moment-at",
      "engine": "cantilever-moment-at-curve-partial-tip-moment-at",
      "description": "M; Mt; P; w; a; x; L; E; I. Intermediate moment plus distributed plus tip. Deflection at x. I is an input",
      "page": "https://www.calculatorx.com/calc/mechanical/cantilever-moment-at-curve-partial-tip-moment-at",
      "endpoint": "https://www.calculatorx.com/api/v1/calc/cantilever-moment-at-curve-partial-tip-moment-at"
    },
    {
      "name": "cantilever-moment-at-curve-outer-tip-at",
      "engine": "cantilever-moment-at-curve-outer-tip-at",
      "description": "M; P; w; a; x; L; E; I. Intermediate moment plus distributed plus tip. Deflection at x. I is an input",
      "page": "https://www.calculatorx.com/calc/mechanical/cantilever-moment-at-curve-outer-tip-at",
      "endpoint": "https://www.calculatorx.com/api/v1/calc/cantilever-moment-at-curve-outer-tip-at"
    },
    {
      "name": "cantilever-moment-at-curve-outer-tip-moment-at",
      "engine": "cantilever-moment-at-curve-outer-tip-moment-at",
      "description": "M; Mt; P; w; a; x; L; E; I. Intermediate moment plus distributed plus tip. Deflection at x. I is an input",
      "page": "https://www.calculatorx.com/calc/mechanical/cantilever-moment-at-curve-outer-tip-moment-at",
      "endpoint": "https://www.calculatorx.com/api/v1/calc/cantilever-moment-at-curve-outer-tip-moment-at"
    },
    {
      "name": "cantilever-load-at-moment-at-curve",
      "engine": "cantilever-load-at-moment-at-curve",
      "description": "P; M; a; x; L; E; I. Intermediate load plus intermediate moment at a. Deflection at x. I is an input",
      "page": "https://www.calculatorx.com/calc/mechanical/cantilever-load-at-moment-at-curve",
      "endpoint": "https://www.calculatorx.com/api/v1/calc/cantilever-load-at-moment-at-curve"
    },
    {
      "name": "cantilever-load-at-moment-at-curve-moment-at",
      "engine": "cantilever-load-at-moment-at-curve-moment-at",
      "description": "P; M; Mt; a; x; L; E; I. Intermediate load plus intermediate moment plus tip moment. Deflection at x. I is an input",
      "page": "https://www.calculatorx.com/calc/mechanical/cantilever-load-at-moment-at-curve-moment-at",
      "endpoint": "https://www.calculatorx.com/api/v1/calc/cantilever-load-at-moment-at-curve-moment-at"
    },
    {
      "name": "cantilever-load-at-moment-at-curve-uniform-at",
      "engine": "cantilever-load-at-moment-at-curve-uniform-at",
      "description": "P; M; w; a; x; L; E; I. Intermediate load plus intermediate moment plus uniform. Deflection at x. I is an input",
      "page": "https://www.calculatorx.com/calc/mechanical/cantilever-load-at-moment-at-curve-uniform-at",
      "endpoint": "https://www.calculatorx.com/api/v1/calc/cantilever-load-at-moment-at-curve-uniform-at"
    },
    {
      "name": "cantilever-load-at-moment-at-curve-uniform-moment-at",
      "engine": "cantilever-load-at-moment-at-curve-uniform-moment-at",
      "description": "P; M; Mt; w; a; x; L; E; I. Intermediate load plus intermediate moment plus uniform plus tip moment. Deflection at x. I is an input",
      "page": "https://www.calculatorx.com/calc/mechanical/cantilever-load-at-moment-at-curve-uniform-moment-at",
      "endpoint": "https://www.calculatorx.com/api/v1/calc/cantilever-load-at-moment-at-curve-uniform-moment-at"
    },
    {
      "name": "cantilever-load-at-moment-at-curve-tip-at",
      "engine": "cantilever-load-at-moment-at-curve-tip-at",
      "description": "P; Pt; M; a; x; L; E; I. Intermediate load plus intermediate moment plus tip load. Deflection at x. I is an input",
      "page": "https://www.calculatorx.com/calc/mechanical/cantilever-load-at-moment-at-curve-tip-at",
      "endpoint": "https://www.calculatorx.com/api/v1/calc/cantilever-load-at-moment-at-curve-tip-at"
    },
    {
      "name": "cantilever-load-at-moment-at-curve-tip-moment-at",
      "engine": "cantilever-load-at-moment-at-curve-tip-moment-at",
      "description": "P; Pt; M; Mt; a; x; L; E; I. Intermediate load plus intermediate moment plus tip load plus tip moment. Deflection at x. I is an input",
      "page": "https://www.calculatorx.com/calc/mechanical/cantilever-load-at-moment-at-curve-tip-moment-at",
      "endpoint": "https://www.calculatorx.com/api/v1/calc/cantilever-load-at-moment-at-curve-tip-moment-at"
    },
    {
      "name": "cantilever-load-at-moment-at-curve-uniform-tip-at",
      "engine": "cantilever-load-at-moment-at-curve-uniform-tip-at",
      "description": "P; Pt; M; w; a; x; L; E; I. Intermediate load plus intermediate moment plus uniform plus tip load. Deflection at x. I is an input",
      "page": "https://www.calculatorx.com/calc/mechanical/cantilever-load-at-moment-at-curve-uniform-tip-at",
      "endpoint": "https://www.calculatorx.com/api/v1/calc/cantilever-load-at-moment-at-curve-uniform-tip-at"
    },
    {
      "name": "cantilever-load-at-moment-at-curve-uniform-tip-moment-at",
      "engine": "cantilever-load-at-moment-at-curve-uniform-tip-moment-at",
      "description": "P; Pt; M; Mt; w; a; x; L; E; I. Intermediate load plus intermediate moment plus uniform plus tip load plus tip moment. Deflection at x. I is an input",
      "page": "https://www.calculatorx.com/calc/mechanical/cantilever-load-at-moment-at-curve-uniform-tip-moment-at",
      "endpoint": "https://www.calculatorx.com/api/v1/calc/cantilever-load-at-moment-at-curve-uniform-tip-moment-at"
    },
    {
      "name": "cantilever-load-at-moment-at-curve-partial-at",
      "engine": "cantilever-load-at-moment-at-curve-partial-at",
      "description": "P; M; w; a; x; L; E; I. Intermediate load plus intermediate moment plus partial uniform. Deflection at x. I is an input",
      "page": "https://www.calculatorx.com/calc/mechanical/cantilever-load-at-moment-at-curve-partial-at",
      "endpoint": "https://www.calculatorx.com/api/v1/calc/cantilever-load-at-moment-at-curve-partial-at"
    },
    {
      "name": "cantilever-load-at-moment-at-curve-partial-moment-at",
      "engine": "cantilever-load-at-moment-at-curve-partial-moment-at",
      "description": "P; M; Mt; w; a; x; L; E; I. Intermediate load plus intermediate moment plus partial uniform plus tip moment. Deflection at x. I is an input",
      "page": "https://www.calculatorx.com/calc/mechanical/cantilever-load-at-moment-at-curve-partial-moment-at",
      "endpoint": "https://www.calculatorx.com/api/v1/calc/cantilever-load-at-moment-at-curve-partial-moment-at"
    },
    {
      "name": "cantilever-load-at-moment-at-curve-outer-at",
      "engine": "cantilever-load-at-moment-at-curve-outer-at",
      "description": "P; M; w; a; x; L; E; I. Intermediate load plus intermediate moment plus outer uniform. Deflection at x. I is an input",
      "page": "https://www.calculatorx.com/calc/mechanical/cantilever-load-at-moment-at-curve-outer-at",
      "endpoint": "https://www.calculatorx.com/api/v1/calc/cantilever-load-at-moment-at-curve-outer-at"
    },
    {
      "name": "cantilever-load-at-moment-at-curve-outer-moment-at",
      "engine": "cantilever-load-at-moment-at-curve-outer-moment-at",
      "description": "P; M; Mt; w; a; x; L; E; I. Intermediate load plus intermediate moment plus outer uniform plus tip moment. Deflection at x. I is an input",
      "page": "https://www.calculatorx.com/calc/mechanical/cantilever-load-at-moment-at-curve-outer-moment-at",
      "endpoint": "https://www.calculatorx.com/api/v1/calc/cantilever-load-at-moment-at-curve-outer-moment-at"
    },
    {
      "name": "cantilever-load-at-moment-at-curve-partial-tip-at",
      "engine": "cantilever-load-at-moment-at-curve-partial-tip-at",
      "description": "P; Pt; M; w; a; x; L; E; I. Intermediate load plus intermediate moment plus distributed plus tip load. Deflection at x. I is an input",
      "page": "https://www.calculatorx.com/calc/mechanical/cantilever-load-at-moment-at-curve-partial-tip-at",
      "endpoint": "https://www.calculatorx.com/api/v1/calc/cantilever-load-at-moment-at-curve-partial-tip-at"
    },
    {
      "name": "cantilever-load-at-moment-at-curve-partial-tip-moment-at",
      "engine": "cantilever-load-at-moment-at-curve-partial-tip-moment-at",
      "description": "P; Pt; M; Mt; w; a; x; L; E; I. Intermediate load plus intermediate moment plus distributed plus tip load plus tip moment. Deflection at x. I is an input",
      "page": "https://www.calculatorx.com/calc/mechanical/cantilever-load-at-moment-at-curve-partial-tip-moment-at",
      "endpoint": "https://www.calculatorx.com/api/v1/calc/cantilever-load-at-moment-at-curve-partial-tip-moment-at"
    },
    {
      "name": "cantilever-load-at-moment-at-curve-outer-tip-at",
      "engine": "cantilever-load-at-moment-at-curve-outer-tip-at",
      "description": "P; Pt; M; w; a; x; L; E; I. Intermediate load plus intermediate moment plus distributed plus tip load. Deflection at x. I is an input",
      "page": "https://www.calculatorx.com/calc/mechanical/cantilever-load-at-moment-at-curve-outer-tip-at",
      "endpoint": "https://www.calculatorx.com/api/v1/calc/cantilever-load-at-moment-at-curve-outer-tip-at"
    },
    {
      "name": "cantilever-load-at-moment-at-curve-outer-tip-moment-at",
      "engine": "cantilever-load-at-moment-at-curve-outer-tip-moment-at",
      "description": "P; Pt; M; Mt; w; a; x; L; E; I. Intermediate load plus intermediate moment plus distributed plus tip load plus tip moment. Deflection at x. I is an input",
      "page": "https://www.calculatorx.com/calc/mechanical/cantilever-load-at-moment-at-curve-outer-tip-moment-at",
      "endpoint": "https://www.calculatorx.com/api/v1/calc/cantilever-load-at-moment-at-curve-outer-tip-moment-at"
    },
    {
      "name": "volts-to-ev",
      "engine": "ev-voltage",
      "description": "alias of ev-to-volts; same four modes",
      "page": "https://www.calculatorx.com/calc/electric/ev-to-volts",
      "endpoint": "https://www.calculatorx.com/api/v1/calc/volts-to-ev",
      "capability_id": "electrical.ev_voltage",
      "calculation_version": "1.3.0",
      "tier": "engine_tested",
      "input_schema": "https://www.calculatorx.com/schemas/electrical.ev_voltage.input.json",
      "output_schema": "https://www.calculatorx.com/schemas/electrical.ev_voltage.output.json",
      "evidence": "https://www.calculatorx.com/evidence/electrical.ev_voltage/1.3.0.json",
      "trust": {
        "engine_tested": true,
        "expert_reviewed": false,
        "internally_reviewed": false,
        "review_kind": null,
        "source_checked": true,
        "reviewed_by": null,
        "reviewer_role": null,
        "last_reviewed": null,
        "version_lock_supported": true,
        "expert_review_status": "optional_not_performed",
        "internal_review_status": "not_applicable"
      }
    },
    {
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