mechanical.statics.principal_section_modulus

Three distinct suites: educational examples on the calculator page, this legacy regression count (6/6 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 2026-10-28.meta-metrics-v2. Calculation version 1.0.0. CVP 1.0.0-proposed. 1/1 golden · 4/4 CVP boundary · 3/3 invalid · 2/2 metamorphic · 1/1 cross-interface · 6/6 CVP contract. digest 75f2382defba.

• Golden (oracle-backed) 1 / 1
• CVP boundary 4 / 4
• Invalid input 3 / 3
• Metamorphic 2 / 2
• Cross-interface 1 / 1
• CVP contract 6 / 6
• Interfaces PASS · UI (SSR) / REST / MCP
• Interface claim ui-ssr is query-result HTML, not a live browser session.
• Assurance Engineering

• 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 sha256:09f77ae5b9306fcc14cc67be37f92cae57dfeed84eae8a616ce841c0be4da6e4

Input schema sha256:cfa32d3cb50430035827b916967f09174fb907e2a252417a312b88c651358471 · Output schema sha256:82ba0604fe95cd9a7db3c07bba25cabaf1b611878f953c588434f83aea58bb80 · 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.

Tool

principal-section-modulus

Engine

principal-section-modulus

Engine build

2026-09-27

Evidence core

2026-09-27T08:15:46.336Z

Rendered

2026-11-10T05:18:42.161Z

Last reviewed

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Limitations

• S1 = I1/c1 and S2 = I2/c2 along the principal axes
• c1 and c2 are distances from the composite centroid to the extreme fiber
• A blank distance omits that modulus
• θ is the I1 axis, CCW from +x, in (−90°, 90°]
• Not Sx or Sy, bending stress, plastic modulus, or beam deflection