mechanical.statics.hollow_circular_section

• Golden tests 3 / 3
• 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• Production attestation Embedded snapshot: unpublished · Build schema 1.0.0 ready · Semantic contract ✓ · Attestation report not published on origin · Live production status STALE (6 capabilities; 189 remain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:c2e00476fca982a75b25924b778f0c7d599305394eebf6fe8a76276ae45ce6ff

Input schema sha256:327427afcd54f2994cec9e971928a03cc20505ee1b6b5d497f30e283d0a85009 · Output schema sha256:4d214d01b4b34b6a42f8adafe08061f8445f65f8efe7c9b92ea9088d784a0503 · 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

hollow-circular-section

Engine

hollow-circular-section

Engine build

2026-09-23

Evidence core

2026-09-23T14:09:15.347Z

Rendered

2026-09-23T14:21:08.544Z

Last reviewed

—

Limitations

• Hollow circle about centroidal diameters
• Ix = Iy = π(R⁴−r⁴)/4
• Sx = Sy = Ix/R
• kx = ky = √(R²+r²)/2
• Not a solid circle, a rectangle, bending stress, or a plastic modulus