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Public evidence

mechanical.statics.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  • Production attestation Embedded snapshot: unpublished · Build schema 1.0.0 ready · Semantic contract ✓ · Attestation report not published on origin · Live production status STALE (8 capabilities; 189 remain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 sha256:3096aa6f8dee35a701c01cbd0ffb851878093a5d62c1fd94e35b06d318ad3154

Input schema sha256:451e0259bbf09193546754f96e029471d57368a662c99028f4f9193d35fe9cc6 · Output schema sha256:b09a5d26072486b636140bf2b83d84636951b7bb38e5d8705fbb39fcbf8fd49e · 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
circular-plastic-modulus
Engine
circular-plastic-modulus
Engine build
2026-09-23
Evidence core
2026-09-23T14:32:49.903Z
Rendered
2026-09-23T21:48:01.335Z
Last reviewed
—

Limitations

  • Solid circle about a centroidal diameter
  • Z = 4 r³/3
  • Shape factor 16/(3π)
  • Not a rectangle, a hollow circle, 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=12.566370614359172 · Z=10.666666666666666 · S=6.283185307179586 · f=1.6976527263135504 · model=circular_plastic_modulus · Actual model=circular_plastic_modulus · r=2 · area=12.566370614359172 · S=6.283185307179586 · Z=10.666666666666666 · f=1.6976527263135501 · solver=circular section · convention=Solid circle about a centroidal diameter. Z = 4 r³/3. S comes from the circular-section engine. The shape factor is 16/(3π). A rectangle is the rectangular-plastic-modulus page. A hollow circle is its own page.
golden-unitgoldenpassExpected area=3.141592653589793 · Z=1.3333333333333333 · S=0.7853981633974483 · f=1.6976527263135504 · Actual model=circular_plastic_modulus · r=1 · area=3.141592653589793 · S=0.7853981633974483 · Z=1.3333333333333333 · f=1.6976527263135501 · solver=circular section · convention=Solid circle about a centroidal diameter. Z = 4 r³/3. S comes from the circular-section engine. The shape factor is 16/(3π). A rectangle is the rectangular-plastic-modulus page. A hollow circle is its own page.
boundary-zeroboundarypassExpected VALUE_MUST_BE_POSITIVE · Actual VALUE_MUST_BE_POSITIVE
boundary-missingboundarypassExpected MISSING_REQUIRED_INPUT · Actual MISSING_REQUIRED_INPUT