Public evidence

mechanical.statics.offset_load_midspan_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 ddda4e4ab8c7

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 ddda4e4ab8c7. O2: delta vs a separate-module identity (≤2 ULP). Not δ under the load, not max |δ|, and not a cantilever. ≤2 ULP vs O3 applies only to the published tabulated offset-load-midspan 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 offset point-load midspan δ = P c (3L²−4c²)/(48 E I); + O3 mpmath tabulated δ.
Assurance Engineering
Deferred Not δ under the load, not max |δ|, and not a cantilever.

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 sha256:4ca66eef189406af496396558d8141c80b0500db1c929a0f09cf3577ede46993

Input schema sha256:049bf6fbe4a439e6814de0e0a1f4da96d65e4135aacb30af6609a90816c17ad7 · Output schema sha256:820e8decfa7b95f8df1347785cddad1e5ab8e3ae67797898a749ff9acdd88634 · 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: offset-load-midspan
Engine: offset-load-midspan
Engine build: 2026-09-27
Evidence core: 2026-09-27T08:15:46.336Z
Rendered: 2026-11-10T05:18:42.205Z
Last reviewed: —

Limitations

Simply supported span
Midspan value, not the value under the load
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 — concentrated load not at midspan
Supports: The midspan deflection is P c (3 L² − 4 c²) / (48 E I), with c the distance to the nearer support.
Gere and Goodno, Mechanics of Materials — Deflection of beams — offset concentrated load
Supports: Supports the page formula. a = L/2 recovers the midspan point-load page.

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.