Public evidence

mechanical.statics.cantilever_load_at_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 0bd6c047d1a3

Verification

Legacy regression suite: 4/4 calculation tests · Production surface contract 6/6

Three distinct suites: educational examples on the calculator page, this legacy regression count (4/4 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 0bd6c047d1a3.

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 sha256:412c73084383daa63e35ea28aa7495a74b95c91a78573d5fff84d2ce26209082

Input schema sha256:3130c38dfc8a68f210c8c058b7df5c93ab8fde352c33582a11f9f64744c6c967 · Output schema sha256:80c55f9a6b58f5fc9dc480e7084a88bda5eae7f28ecb65d14f90e51fc8eb3402 · 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: cantilever-load-at
Engine: cantilever-load-at
Engine build: 2026-09-24
Evidence core: 2026-09-24T22:13:35.553Z
Rendered: 2026-09-25T01:47:46.279Z
Last reviewed: —

Limitations

Cantilever
Load and station may reach the free end
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 — cantilever with an intermediate load
Supports: x = a gives P a³ / (3 E I) and x = L gives P a² (3L − a) / (6 E I).
Gere and Goodno, Mechanics of Materials — Deflection of beams — cantilever intermediate load
Supports: Supports the two-piece curve, including the straight portion past the 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-load`	golden	pass	Expected delta=16 · model=cantilever_load_at_deflection · Actual delta=16 · model=cantilever_load_at_deflection · P=48 · a=1 · x=1 · L=2 · E=1 · I=1
`golden-tip`	golden	pass	Expected delta=40 · Actual delta=40 · model=cantilever_load_at_deflection · P=48 · a=1 · x=2 · L=2 · E=1 · I=1
`golden-inner`	golden	pass	Expected delta=5 · Actual delta=5 · model=cantilever_load_at_deflection · P=48 · a=1 · x=0.5 · L=2 · E=1 · I=1
`boundary-past`	boundary	pass	Expected INVALID_INPUT · Actual INVALID_INPUT