Public evidence

mechanical.statics.cantilever_outer_uniform_deflection

Machine-checked verification for calculation version 1.0.0 · tier engine_tested

Open calculator API Capability Download JSON CVP Manifest Reproduce MCP Review policy

CVP status

O3 tabulated vectors only.

Declared partition coverage: PASS · 5/5 declared partitions (main, alias, signed, awkward, invalid-domain)
Versions: Calculation 1.0.0 · CVP protocol 1.0.0-proposed · Evidence 2026-09-27.o2-o3
Verification revision: 2026-09-27.o2-o3 · 1/1 property · digest cca20547b960

Verification

Legacy regression suite: 3/3 calculation tests · Production surface contract 6/6

Three distinct suites: educational examples on the calculator page, this legacy regression count (3/3 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.

This calculator CURRENT · Public schema 1.0.0 matches · Semantic contract ✓ · Production attested · Public/cache ✓ · Origin ✓

CVP verification suite

Protocol checks from the Evidence Manifest. Distinct from the legacy regression suite above. Verification revision 2026-09-27.o2-o3. Calculation version 1.0.0. CVP 1.0.0-proposed. 4/4 golden · 1/1 CVP boundary · 3/3 invalid · 1/1 property · 1/1 metamorphic · 8/8 O3 · 2/2 cross-interface · 6/6 CVP contract. digest cca20547b960. O2: delta vs a separate-module identity (≤2 ULP). Not a full-span uniform cantilever, and not a simply supported span. ≤2 ULP vs O3 applies only to the published tabulated cantilever-outer-uniform vectors.

Golden (oracle-backed) 4 / 4
CVP boundary 1 / 1
Invalid input 3 / 3
Property 1 / 1
Metamorphic 1 / 1
O3 high-precision 8 / 8
Cross-interface 2 / 2
CVP contract 6 / 6
Interfaces PASS · UI (SSR) / REST / MCP
Interface claim ui-ssr is query-result HTML, not a live browser session. Error-path engine·REST·MCP 1/1 (status, code, calculation_version). SSR compared on URL-canonical requested calculations; empty query is idle (not an error) and JSON-typed object/array inputs are REST/MCP-only.
Verified scope cantilever outer uniform tip δ = w[3L⁴−a³(4L−a)]/(24 E I); + O3 mpmath tabulated δ.
Assurance Engineering
Deferred Not a full-span uniform cantilever, and not a simply supported span.

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 sha256:0a3c982062191d14b6eb075a6af5eb57fc62aeca613df225881c3f79388387fb

Input schema sha256:f82c6ffb2b4eeff6ffd4363d811ce6edd1acec60bab9ae7efec0417af7ba0d36 · Output schema sha256:d57a4f030304c33c004b16537a99238f1bf379df2f5f0b25346cda9b3294d7b4 · 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-outer-uniform
Engine: cantilever-outer-uniform
Engine build: 2026-09-27
Evidence core: 2026-09-27T08:15:46.336Z
Rendered: 2026-11-10T05:18:42.204Z
Last reviewed: —

Limitations

Cantilever
Load from a to the tip
a may be zero
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 a uniform load on the outer portion
Supports: The tip deflection is the full uniform load minus the partial load that stops at a.
Gere and Goodno, Mechanics of Materials — Deflection of beams — superposition
Supports: Supports δ = w [3 L⁴ − a³ (4L − a)] / (24 E I). a = 0 recovers w L⁴ / (8 E I).

Verification disclosure

Aggregate outcomes, scope and artifact commitments are public. Complete test inputs, expected values, execution records and oracle infrastructure are retained privately. This summary does not independently reproduce the full verification run.