Home Developers Capabilities Mechanical beam deflection (shared contract)

CVP verified calculation capability

Mechanical beam deflection (shared contract) Calculation Capability

Phase 1 shared Euler–Bernoulli deflection Capability. Delegates to Layer-A primitives. See docs/platform/MECHANICAL_BEAM_COLLAPSE.md.

Mechanical · Beam Capability ID mechanical.beam.deflection version 1.0.0 CVP VERIFIED STALE Engineering

Model

Midspan deflection

Inputs / Outputs

Canonical symbols for this capability. Agent schemas remain the contract.

SymbolQuantityUnitRole
supportv1: overhang deferred—input / output
LSpan / length—input / output
EElastic modulus—input / output
IArea moment—input / output
loadsLoad cases—input / output
queryObject preferred; legacy string kind also accepted by the engine—input / output
delta——output
model——output
x——output
normalized_loads——output
components——output
solver——output
convention——output

Assumptions / Validity

Declared scope for this capability. Do not use it outside this domain.

Assumptions

Example

One numerical check. The calculator page holds worked steps and FAQ.

P=48 L=2 E=1 I=1 → δ=8

Open this example in the calculator

Trust

CVP VERIFIED · production STALE · CVP protocol 1.0.0-proposed · Engineering assurance · Shared Euler–Bernoulli contract: support × loads[] × query; Layer-A closed forms via delegates; multi-load δ=Σδ_i; partitioned O3 for three Layer-A tip/midspan tables.. Computational verification is defined by CVP. Supplemental domain review (internal) and named expert review are defined by the Review policy and do not by themselves determine CVP conformance.

CVP
CVP VERIFIED · production STALE · CVP protocol 1.0.0-proposed · Engineering assurance · Shared Euler–Bernoulli contract: support × loads[] × query; Layer-A closed forms via delegates; multi-load δ=Σδ_i; partitioned O3 for three Layer-A tip/midspan tables.· View Manifest · CVP overview · Specification
Verified scope
Shared Euler–Bernoulli contract: support × loads[] × query; Layer-A closed forms via delegates; multi-load δ=Σδ_i; partitioned O3 for three Layer-A tip/midspan tables.
Assurance
Engineering
Declared partition coverage
PASS · 5/5 declared partitions (ss-point-midspan, cantilever-tip, composition, signed, invalid-domain)
Deferred
Not FEM, not indeterminate, not Timoshenko, not generic multi-load max, not overhang, not cantilever triangular in v1.
Calculation version
1.0.0
Verification
7/7 calculation tests · 4/4 legacy golden · 2/2 legacy boundary · 1/1 legacy property
Production surface contract
6/6
Versions
Calculation 1.0.0 · CVP protocol 1.0.0-proposed · Evidence 2026-09-27.o2-o3.parent.iface.o3fix
Verification revision
2026-09-27.o2-o3.parent.iface.o3fix · 5/5 property · digest ce207633c7da
Reference
O1 model · O3 expected_values · O3 numerical_behavior · O2 expected_values · O2 numerical_behavior
Numerical scope
O2: delta vs composed Layer-A separate-module identities (≤2 ULP). Multi-load is Σ δ_i. Not FEM, not indeterminate, not generic multi-load max. ≤2 ULP vs O3 applies only to tabulated Layer-A partitions projected from published leaf mpmath tables (simply_supported×point×midspan, cantilever×point×tip, simply_supported×uniform×midspan). Multi-load composition is out of O3 claim scope.
Interfaces
PASS · UI (SSR) / REST / MCP
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. SSR Entry uses leaf-shaped query (prefill remap). REST/MCP use mechanical.beam.deflection contract inputs.
CVP suite
5/5 golden · 2/2 CVP boundary · 6/6 invalid · 5/5 property · 1/1 metamorphic · 24/24 O3 · 2/2 cross-interface · 2/2 cross-calculator · 6/6 CVP contract
Supplemental domain review
Not performed
Named expert review
Not performed
Version lock
Supported (409 VERSION_MISMATCH)
Artifact consistency
Build verified · 1.0.0 (workspace artifacts agree)
Review-policy tier
Engine tested — catalog token engine_tested; supplemental; not CVP status
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

Call this capability

Human page, REST, and MCP share the same engine and calculation_version. Build verified hashes workspace artifacts only. After deploy, attest:production GETs canonical URLs twice — the public/cached view an Agent actually hits, and origin — including every /capabilities/{id} HTML page. Public Capability HTML version must match catalog before production attestation passes. Live Trust rows above fetch /.well-known/calculatorx-production-attestation.json and the output schema const. Build hashes: release integrity. That proves currently published page / engine / schema / evidence / MCP agree — not that a historical version is independently immutable. Reference Calculation Standard — Production surface contract 6/6.

curl -sS -X POST 'https://www.calculatorx.com/api/v1/calc/mechanical-beam-deflection' \
  -H 'Content-Type: application/json' \
  -d '{"inputs":{"support":"simply_supported","L":2,"E":1,"I":1,"loads":[{"id":"P1","type":"point","P":480}],"query":{"kind":"midspan"}},"calculation_version":"1.0.0"}'

POST /api/v1/calc/mechanical-beam-deflection. This is a POST calculate endpoint — do not GET it.

Full REST contract: REST API docs.

Tool id
mechanical-beam-deflection
Engine
mechanical-beam-deflection
REST
POST /api/v1/calc/mechanical-beam-deflection
MCP
execute_calculation with capability_id: "mechanical.beam.deflection"
Agent input schema
Canonical (MCP / Agent)
Output schema
JSON Schema (latest)
Versioned input schema
Immutable pin (1.0.0)
Versioned output schema
Immutable pin (1.0.0)

References

Human-readable sources plus CVP reference evidence classes.

Sources

Reference evidence classes: O1 model · O3 expected_values · O3 numerical_behavior · O2 expected_values · O2 numerical_behavior

Try with an agent

Inspect, then execute. Same engine as REST and the human calculator.

curl -sS -X POST 'https://www.calculatorx.com/mcp' \
  -H 'Content-Type: application/json' \
  -H 'MCP-Protocol-Version: 2026-07-28' \
  -H 'Mcp-Method: tools/call' \
  -H 'Mcp-Name: inspect_capability' \
  -d '{"jsonrpc":"2.0","id":1,"method":"tools/call","params":{"name":"inspect_capability","arguments":{"capability_id":"mechanical.beam.deflection"},"_meta":{"io.modelcontextprotocol/protocolVersion":"2026-07-28","io.modelcontextprotocol/clientInfo":{"name":"calculatorx-docs-example","version":"1.0.0"},"io.modelcontextprotocol/clientCapabilities":{}}}}'

Pin calculation_version (1.0.0) when the result must stay reproducible.

Inspect the trust tier and required assurance level before execution. Full protocol notes: MCP docs.