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Public evidence

mechanical.statics.hollow_circular_plastic_modulus

Machine-checked verification for calculation version 1.0.0 · tier engine_tested

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Verification

4/4 calculation tests · Production surface contract 6/6

  • Golden tests 2 / 2
  • Boundary tests 2 / 2
  • 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  • Production attestation Embedded snapshot: unpublished · Build schema 1.0.0 ready · Semantic contract ✓ · Attestation report not published on origin · Live production status STALE (8 capabilities; 189 remain CURRENT) @ 2026-09-23T21:48:15.717Z
  • 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 sha256:2255adf4ab8f60b43b0ee18c9ea7fa6df2ad0206571357466078d5c5bff13af3

Input schema sha256:c5730ce3f6f45aaffb5761130a7796cab582353ae92702583743c94d7785ede6 · Output schema sha256:62329b3520d5c7675e7757ed97e46f426b92a693087ca7690a092b17252cd5ea · 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
hollow-circular-plastic-modulus
Engine
hollow-circular-plastic-modulus
Engine build
2026-09-23
Evidence core
2026-09-23T14:32:49.903Z
Rendered
2026-09-23T21:48:01.336Z
Last reviewed
—

Limitations

  • Hollow circle about a centroidal diameter
  • Z = (4/3)(R³−r³)
  • Shape factor Z/S
  • Not a solid circle, a rectangle, or a plastic moment

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-twogoldenpassExpected area=9.42477796076938 · Z=9.333333333333334 · S=5.890486225480862 · f=1.584475877892647 · model=hollow_circular_plastic_modulus · Actual model=hollow_circular_plastic_modulus · R=2 · r=1 · area=9.42477796076938 · S=5.890486225480862 · Z=9.333333333333332 · f=1.5844758778926469 · solver=hollow circular section
golden-fourgoldenpassExpected area=37.69911184307752 · Z=74.66666666666667 · S=47.12388980384689 · f=1.584475877892647 · Actual model=hollow_circular_plastic_modulus · R=4 · r=2 · area=37.69911184307752 · S=47.12388980384689 · Z=74.66666666666666 · f=1.5844758778926469 · solver=hollow circular section
boundary-equalboundarypassExpected INVALID_INPUT · Actual INVALID_INPUT
boundary-missingboundarypassExpected MISSING_REQUIRED_INPUT · Actual MISSING_REQUIRED_INPUT