Public evidence

mechanical.statics.plastic_moment

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

Not elastic S. O3 tabulated vectors only.

Declared partition coverage: PASS · 5/5 declared partitions (unit, alias, Zx, 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 e75cf6bcabb6

Verification

Legacy regression suite: 5/5 calculation tests · Production surface contract 6/6

Three distinct suites: educational examples on the calculator page, this legacy regression count (5/5 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 · 3/3 CVP boundary · 5/5 invalid · 1/1 property · 1/1 metamorphic · 8/8 O3 · 2/2 cross-interface · 6/6 CVP contract. digest e75cf6bcabb6. O2: Mp = σ_y Z vs a separate-module identity (≤2 ULP). Not elastic S, not transverse shear, and not beam deflection. ≤2 ULP vs O3 applies only to the published tabulated plastic-moment vectors. Not elastic S.

Golden (oracle-backed) 4 / 4
CVP boundary 3 / 3
Invalid input 5 / 5
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 Mp = σ_y Z on one centroidal axis; + O3 mpmath tabulated Mp.
Assurance Engineering
Deferred Not elastic S, not transverse shear, and not beam deflection. Does not rebuild the section.

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 sha256:8995d9c691a960bc261d46f9dee908fde1bc2f2a8af775d2d6bdb6738d038a10

Input schema sha256:f591158501975d56b9f8c74effb2346cca2e4e0ad23baa0ce07c2bd2017ffe48 · Output schema sha256:439227ed3103e58a52f2325683bf89ed74c547d57e5e7a393c305ef91f568640 · 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: plastic-moment
Engine: plastic-moment
Engine build: 2026-09-27
Evidence core: 2026-09-27T08:15:46.336Z
Rendered: 2026-11-10T05:18:42.179Z
Last reviewed: —

Limitations

One centroidal axis
Mp = σ_y Z
Z is an input, not rebuilt from b and h
Not transverse shear

Sources

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

Hibbeler, Mechanics of Materials — Plastic deformation — plastic moment
Supports: The fully plastic moment on a centroidal axis is the yield stress times the plastic modulus of that axis.
Gere and Goodno, Mechanics of Materials — Plastic deformation — plastic moment
Supports: Supports the page formula: Mp = σ_y Z

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.