{
  "capability_id": "mechanical.statics.center_triangle_at_deflection",
  "tool_id": "center-triangle-at",
  "engine": "center-triangle-at",
  "calculation_version": "1.0.0",
  "generated_at": "2026-11-10T05:18:42.220Z",
  "engine_build": "2026-09-27",
  "test_count": 2,
  "passed": 2,
  "failed": 0,
  "tests_summary": {
    "golden": {
      "passed": 1,
      "total": 1
    },
    "boundary": {
      "passed": 1,
      "total": 1
    },
    "property": {
      "passed": 0,
      "total": 0
    }
  },
  "engine_tested": true,
  "expert_reviewed": false,
  "internally_reviewed": false,
  "review_kind": null,
  "source_checked": true,
  "reviewed_by": null,
  "reviewer_role": null,
  "last_reviewed": null,
  "expert_review": {
    "status": "optional_not_performed",
    "reviewer": null,
    "scope": [
      "formula",
      "input semantics",
      "assumptions",
      "limitations",
      "sources",
      "tests"
    ],
    "note": "Domain expert review is optional under CVP (CVP-EXP-01). Absence does not block CVP Verified. See Review policy for supplemental domain assurance."
  },
  "internal_review": {
    "status": "not_applicable",
    "reviewer": null
  },
  "page": "https://www.calculatorx.com/calc/mechanical/center-triangle-at",
  "api": "https://www.calculatorx.com/api/v1/calc/center-triangle-at",
  "schema_input": "https://www.calculatorx.com/schemas/mechanical.statics.center_triangle_at_deflection.input.json",
  "schema_output": "https://www.calculatorx.com/schemas/mechanical.statics.center_triangle_at_deflection.output.json",
  "assumptions": [],
  "limitations": [
    "Peak at midspan",
    "x is strictly inside the span",
    "I is an input"
  ],
  "boundary_conditions": [
    "missing w0, x, L, E, or I → MISSING_REQUIRED_INPUT",
    "L ≤ 0, E ≤ 0, or I ≤ 0 → VALUE_MUST_BE_POSITIVE",
    "x ≤ 0 or x ≥ L → INVALID_INPUT"
  ],
  "sources": [
    {
      "title": "Hibbeler, Mechanics of Materials",
      "section": "Deflection of beams — triangular load",
      "supports": "A triangle peaking at midspan deflects w0 L⁴/(120 E I) there.",
      "kind": "reference"
    },
    {
      "title": "Gere and Goodno, Mechanics of Materials",
      "section": "Deflection of beams — symmetric triangular load",
      "supports": "Supports the elastic curve measured from the left support, mirrored past midspan.",
      "kind": "reference"
    }
  ],
  "methods": [],
  "fingerprint": "sha256:f5651d2f63ffdeb2b0a433afa617cce243067124f371ed95b33531e5a3323f14",
  "tier": "engine_tested",
  "verification": {
    "tests": {
      "passed": 2,
      "total": 2,
      "golden": 1,
      "boundary": 1,
      "property": 0
    },
    "contract_checks": {
      "passed": 6,
      "total": 6
    }
  },
  "evidence_core_generated_at": "2026-09-27T08:15:46.336Z",
  "rendered_at": "2026-11-10T05:18:42.220Z",
  "release_integrity": {
    "status": "verified",
    "scope": "workspace",
    "production_attestation_required": true,
    "calculation_version": "1.0.0",
    "artifacts": {
      "engine": "1.0.0",
      "page": "1.0.0",
      "capability": "1.0.0",
      "evidence": "1.0.0",
      "input_schema": "1.0.0",
      "output_schema": "1.0.0",
      "mcp_contract": "1.0.0"
    },
    "digests": {
      "input_schema_sha256": "160af0deb6903ccef4fe5b661e5285a4ee55bef1e2a4529c0fdbec01eb788a3e",
      "output_schema_sha256": "d0f321afe5b3968a45191984a9ebbc3a9fee86058ea4e600883e6e25965d56ee",
      "evidence_sha256": "0367105f35659b3df2abc13727c0b55da29473590901852da21a37cfe87cf852",
      "evidence_core_sha256": "0367105f35659b3df2abc13727c0b55da29473590901852da21a37cfe87cf852",
      "capability_sha256": "b59d71f2ebb542945f72e97b4e4e8f859de1d75cc4d8a56f514e2a6f0392c066",
      "engine_sha256": "c6ebd8436f08b413e1ac6317b2d48550f2e6639a90dff254244e3aa562158b8d",
      "mcp_contract_sha256": "eb3e39ad4a95ed263415b4932f185d5edfe00a2403267b7c5ed5f718d1ff6da3"
    },
    "contract_checks": {
      "total": 6,
      "passed": 6,
      "failed": 0,
      "items": [
        {
          "id": "release-artifacts-aligned",
          "status": "pass",
          "detail": "1.0.0"
        },
        {
          "id": "schema-output-required-declared",
          "status": "pass"
        },
        {
          "id": "schema-valid-input-executes",
          "status": "pass"
        },
        {
          "id": "engine-success-output-validates-schema",
          "status": "pass"
        },
        {
          "id": "schema-rejects-incomplete-input",
          "status": "pass"
        },
        {
          "id": "rest-success-payload-validates-schema",
          "status": "pass"
        }
      ]
    },
    "report": "https://www.calculatorx.com/.well-known/calculatorx-release-integrity.json"
  },
  "tests": [],
  "disclosure": {
    "policy": "calculatorx-public-evidence-v1",
    "full_validation": "private",
    "representation": "summary"
  }
}