Public evidence

mechanical.statics.triangular_load_deflection

Machine-checked verification for calculation version 1.0.0 · tier engine_tested

Open calculator API Capability Download JSON CVP Manifest Reproduce MCP Review policy

CVP status

O3 tabulated vectors only.

Declared partition coverage: PASS · 5/5 declared partitions (main, alias, signed, awkward, invalid-domain)
Versions: Calculation 1.0.0 · CVP protocol 1.0.0-proposed · Evidence 2026-09-27.o2-o3
Verification revision: 2026-09-27.o2-o3 · 1/1 property · digest ecf46228005a

Verification

Legacy regression suite: 3/3 calculation tests · Production surface contract 6/6

Three distinct suites: educational examples on the calculator page, this legacy regression count (3/3 golden + boundary), and the CVP verification suite below. They are not the same number. Property, metamorphic, round-trip, O3, and interface statuses/checks are recorded in the CVP Manifest . SKIP (0/0) means that suite has no published vectors.

This calculator CURRENT · Public schema 1.0.0 matches · Semantic contract ✓ · Production attested · Public/cache ✓ · Origin ✓

CVP verification suite

Protocol checks from the Evidence Manifest. Distinct from the legacy regression suite above. Verification revision 2026-09-27.o2-o3. Calculation version 1.0.0. CVP 1.0.0-proposed. 4/4 golden · 1/1 CVP boundary · 3/3 invalid · 1/1 property · 1/1 metamorphic · 8/8 O3 · 2/2 cross-interface · 6/6 CVP contract. digest ecf46228005a. O2: delta vs a separate-module identity (≤2 ULP). Not the max-deflection station page, not a cantilever, and not center-peaked triangle. ≤2 ULP vs O3 applies only to the published tabulated triangular-load-deflection vectors.

Golden (oracle-backed) 4 / 4
CVP boundary 1 / 1
Invalid input 3 / 3
Property 1 / 1
Metamorphic 1 / 1
O3 high-precision 8 / 8
Cross-interface 2 / 2
CVP contract 6 / 6
Interfaces PASS · UI (SSR) / REST / MCP
Interface claim ui-ssr is query-result HTML, not a live browser session. Error-path engine·REST·MCP 1/1 (status, code, calculation_version). SSR compared on URL-canonical requested calculations; empty query is idle (not an error) and JSON-typed object/array inputs are REST/MCP-only.
Verified scope one-sided triangle midspan δ = 5 w0 L⁴/(768 E I); + O3 mpmath tabulated δ.
Assurance Engineering
Deferred Not the max-deflection station page, not a cantilever, and not center-peaked triangle.

release artifacts aligned PASS
schema output required declared PASS
schema valid input executes PASS
engine success output validates schema PASS
schema rejects incomplete input PASS
rest success payload validates schema PASS

Fingerprint sha256:3d1de450eb412bc00ad456973cc3c048618fb74f76a3e1518b6205d6f9fccae3

Input schema sha256:66d8203fa74a018766585a5421aaaacd867e0f2fc3cc9e39e82c7b5298cefbb6 · Output schema sha256:675fde7e88d601e729838ee508a58321750ffadd82453b6912fbf86130fa8dc6 · Build-time SHA-256 digests prove published artifacts agree with each other (release_integrity.scope=workspace). Production attestation GETs canonical URLs twice (public/cached view and origin), including Capability HTML, via npm run attest:production --write (published at /.well-known/calculatorx-production-attestation.json) and fails if the public Capability page advertises a different calculation_version. This is artifact consistency, not an independent immutable release log.

Build & scope

Engine identity and declared limitations.

Tool: triangular-load-deflection
Engine: triangular-load-deflection
Engine build: 2026-09-27
Evidence core: 2026-09-27T08:15:46.336Z
Rendered: 2026-11-10T05:18:42.198Z
Last reviewed: —

Limitations

Simply supported span
Midspan value, not the maximum
I is an input

Sources

Standards and references supporting this tool specification. Methods are listed separately — they are algorithms, not bibliographic sources.

Hibbeler, Mechanics of Materials — Deflection of beams — simply supported beam with a triangular load
Supports: Midspan δ = 5 w0 L⁴ / (768 E I) when the intensity is zero at one end and w0 at the other.
Gere and Goodno, Mechanics of Materials — Deflection of beams — triangular load
Supports: Supports the page formula. The same midspan number is a uniform load of intensity w0/2.

Verification disclosure

Aggregate outcomes, scope and artifact commitments are public. Complete test inputs, expected values, execution records and oracle infrastructure are retained privately. This summary does not independently reproduce the full verification run.