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Public evidence

mechanical.statics.principal_section_modulus

Machine-checked verification for calculation version 1.0.0 · tier engine_tested

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Verification

6/6 calculation tests · Production surface contract 6/6

  • Golden tests 2 / 2
  • Boundary tests 4 / 4
  • Property tests 0 / 0
  • Production surface contract 6 / 6
    • }
  • Engine tested Yes
  • Source checked Yes
  • Artifact integrity PASS
  • Production attestation Embedded snapshot: unpublished · Build schema 1.0.0 ready · Semantic contract ✓ · Attestation report not published on origin · Live production status STALE (3 capabilities; 189 remain CURRENT) @ 2026-09-23T10:40:38.140Z
  • Semantic contract PASS
  • Evidence attested at 2026-09-23T02:27:54.588Z
  • Last production check 2026-09-23T02:27:54.588Z
  • Public / cache —
  • Origin —
  • Supplemental domain review Not performed
  • Named expert review Not performed
  • 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.

Build & scope

Engine identity and declared limitations.

Tool
principal-section-modulus
Engine
principal-section-modulus
Engine build
2026-09-23
Evidence core
2026-09-23T10:08:55.272Z
Rendered
2026-09-23T10:57:00.183Z
Last reviewed
—

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

Sources

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

Published checks

Golden, boundary, and property cases included in this evidence build.

IDKindStatusDetail
golden-bothgoldenpassExpected I1=4 · I2=1 · S1=2 · S2=1 · theta_deg=0 · model=principal_section_modulus · Actual n=1 · model=principal_section_modulus · area=2 · x_bar=0 · y_bar=0 · I1=4 · I2=1 · theta_deg=0
golden-s1goldenpassExpected I1=4 · S1=4 · theta_deg=-45 · Actual n=2 · model=principal_section_modulus · area=2 · x_bar=1 · y_bar=1 · I1=4 · I2=0 · theta_deg=-45
boundary-zero-i2boundarypassExpected S2=0 · I2=0 · Actual n=2 · model=principal_section_modulus · area=2 · x_bar=1 · y_bar=1 · I1=4 · I2=0 · theta_deg=-45
boundary-emptyboundarypassExpected MISSING_REQUIRED_INPUT · Actual MISSING_REQUIRED_INPUT
boundary-fiberboundarypassExpected VALUE_MUST_BE_POSITIVE · Actual VALUE_MUST_BE_POSITIVE
boundary-negative-iboundarypassExpected INVALID_INPUT · Actual INVALID_INPUT