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Public evidence

mechanical.statics.rectangular_section

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 3 / 3
  • Boundary tests 3 / 3
  • Property tests 0 / 0
  • Production surface contract 6 / 6
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  • 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  • Production attestation Embedded snapshot: unpublished · Build schema 1.0.0 ready · Semantic contract ✓ · Attestation report not published on origin · Live production status STALE (6 capabilities; 189 remain CURRENT) @ 2026-09-23T14:00:05.385Z
  • 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 sha256:9381347729c2a4a435c75cb5389894b11aa1cc870dab3067f12166718822cc7e

Input schema sha256:fe242d7082751b7d90180ca9a9d335d87b8c9d0ad9c18e442e42c71405b0536d · Output schema sha256:db7863011d08c0738f430ad495eb7a3b325d6f9c6ba805a31182a170939c526b · 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
rectangular-section
Engine
rectangular-section
Engine build
2026-09-23
Evidence core
2026-09-23T13:42:08.522Z
Rendered
2026-09-23T14:21:08.542Z
Last reviewed
—

Limitations

  • Centroidal axes parallel to the sides
  • Ix = b h³/12 and Iy = h b³/12
  • Sx = b h²/6 and Sy = h b²/6
  • Not a composite section, a circle, bending stress, or a plastic modulus

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-tallgoldenpassExpected area=12 · Ix=36 · Iy=4 · Sx=12 · Sy=4 · kx=1.7320508075688772 · ky=0.5773502691896257 · model=rectangular_section · Actual model=rectangular_section · b=2 · h=6 · area=12 · Ix=36 · Iy=4 · kx=1.7320508075688772 · ky=0.5773502691896257
golden-squaregoldenpassExpected area=1 · Ix=0.08333333333333333 · Iy=0.08333333333333333 · Sx=0.16666666666666666 · Sy=0.16666666666666666 · Actual model=rectangular_section · b=1 · h=1 · area=1 · Ix=0.08333333333333333 · Iy=0.08333333333333333 · kx=0.28867513459481287 · ky=0.28867513459481287
golden-widegoldenpassExpected Ix=4 · Iy=36 · Sx=4 · Sy=12 · area=12 · Actual model=rectangular_section · b=6 · h=2 · area=12 · Ix=4 · Iy=36 · kx=0.5773502691896257 · ky=1.7320508075688772
boundary-widthboundarypassExpected VALUE_MUST_BE_POSITIVE · Actual VALUE_MUST_BE_POSITIVE
boundary-heightboundarypassExpected VALUE_MUST_BE_POSITIVE · Actual VALUE_MUST_BE_POSITIVE
boundary-missingboundarypassExpected MISSING_REQUIRED_INPUT · Actual MISSING_REQUIRED_INPUT