Public evidence

mechanical.statics.center_triangle_deflection

Machine-checked verification for calculation version 1.0.0 · tier engine_tested

Open calculator API Capability Download JSON CVP Manifest MCP Review policy

CVP status

Physics L1 gap capability

Declared partition coverage: PASS · 2/2 declared partitions (domain, invalid-domain)
Versions: Calculation 1.0.0 · CVP protocol 1.0.0-proposed
CVP identity: 0/0 property · digest 5104325aa810

Verification

Legacy regression suite: 2/2 calculation tests · Production surface contract 6/6

Three distinct suites: educational examples on the calculator page, this legacy regression count (2/2 golden + boundary), and the CVP verification suite below. They are not the same number. Property, metamorphic, round-trip, O3, and interface statuses/checks are recorded in the CVP Manifest . SKIP (0/0) means that suite has no published vectors.

STALE · Build schema 1.0.0 ready · Semantic contract ✓ · Last attestation PASS · current evidence changed · re-attestation required · CVP STALE · attestation STALE — Production CURRENT withheld

CVP verification suite

Protocol checks from the Evidence Manifest. Distinct from the legacy regression suite above. Calculation version 1.0.0. CVP 1.0.0-proposed. 1/1 golden · 1/1 CVP boundary · 1/1 invalid · 1/1 cross-interface · 6/6 CVP contract. digest 5104325aa810.

Golden (oracle-backed) 1 / 1
CVP boundary 1 / 1
Invalid input 1 / 1
Cross-interface 1 / 1
CVP contract 6 / 6
Interfaces PASS · UI (SSR) / REST / MCP
Interface claim ui-ssr is query-result HTML, not a live browser session.
Assurance Engineering

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 sha256:9e13cf42e01489e221d4e5e4b74f62bf0624e335eda60ad8e46cfd1a06aaa12e

Input schema sha256:a5bb69d8d2b414f63f99e519616cf6b6f2dd2e76764600730c73b77ca2696f46 · Output schema sha256:018a171e67b940de2e09a9890cba316eb92f667729bfd9d8acc3fe2d6283ce0f · 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: center-triangle-deflection
Engine: center-triangle-deflection
Engine build: 2026-09-24
Evidence core: 2026-09-24T21:17:05.590Z
Rendered: 2026-09-25T01:47:46.271Z
Last reviewed: —

Limitations

Simply supported span
Peak at midspan
I is an input

Sources

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

Hibbeler, Mechanics of Materials — Deflection of beams — triangular load peaking at midspan
Supports: Midspan δ = w0 L⁴ / (120 E I) when the intensity is zero at both supports.
Gere and Goodno, Mechanics of Materials — Deflection of beams — symmetric triangular load
Supports: Supports the page formula. With the end-peaked triangle it recovers the uniform load.

Legacy published checks

Golden and boundary cases from the legacy Evidence JSON. CVP property, metamorphic, round-trip, O3, and interface statuses/checks are recorded in the Manifest — including SKIP when a suite has no vectors.

ID	Kind	Status	Detail
`golden-mid`	golden	pass	Expected delta=3.2 · model=center_triangle_deflection · Actual delta=3.2 · model=center_triangle_deflection · w0=24 · L=2 · E=1 · I=1 · solver=simply supported center-peaked triangle · convention=Simply supported span. Intensity is 0 at both supports and w0 at midspan. Midspan δ = w0 L⁴/(120 E I), and that is also the largest deflection. Positive w0 is the positive deflection direction. I is an input. The load that is w0 at both ends and 0 at midspan is its own page.
`boundary-zero-span`	boundary	pass	Expected VALUE_MUST_BE_POSITIVE · Actual VALUE_MUST_BE_POSITIVE