CVP verified calculation capability

Overhang arm at a station Calculation Capability

Deflection at a stated station on the overhang, measured from the right support. I is an input.

Mechanical · Statics Capability ID mechanical.statics.overhang_arm_at_deflection version 1.0.0 CVP VERIFIED STALE Engineering

Model

Deflection at z on the overhang

Deflection at z on the overhang: δ = P a L z/(3 E I) + P z² (3a − z)/(6 E I)

Inputs / Outputs

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

Symbol	Quantity	Unit	Role
`P`	—	—	input
`a`	—	—	input
`z`	—	—	input
`L`	—	—	input
`E`	—	—	input
`I`	—	—	input
`delta`	—	—	output
`model`	—	—	output

Assumptions / Validity

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

Assumptions

Station on the overhang
z may reach the load
I is an input

Example

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

P=48 a=1 z=1 L=2 E=1 I=1 → δ=48

Open this example in the calculator

Trust

CVP VERIFIED · production STALE · CVP protocol 1.0.0-proposed · Engineering assurance. 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· View Manifest · CVP overview · Specification
Assurance: Engineering
Declared partition coverage: PASS · 2/2 declared partitions (domain, invalid-domain)
Calculation version: 1.0.0
Verification: 2/2 calculation tests · 1/1 legacy golden · 1/1 legacy boundary
Production surface contract: 6/6
Versions: Calculation 1.0.0 · CVP protocol 1.0.0-proposed
CVP identity: 0/0 property · digest c98e07088e2c
Reference: O1 model · O2 expected_values · O2 numerical_behavior
Interfaces: PASS · UI (SSR) / REST / MCP
ui-ssr is query-result HTML, not a live browser session.
CVP suite: 1/1 golden · 1/1 CVP boundary · 1/1 invalid · 1/1 cross-interface · 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/overhang-arm-at' \
  -H 'Content-Type: application/json' \
  -d '{"inputs":{"P":48,"a":1,"z":1,"L":2,"E":1,"I":1},"calculation_version":"1.0.0"}'

{
  "inputs": {
    "P": 48,
    "a": 1,
    "z": 1,
    "L": 2,
    "E": 1,
    "I": 1
  },
  "calculation_version": "1.0.0"
}

POST /api/v1/calc/overhang-arm-at. This is a POST calculate endpoint — do not GET it.

Full REST contract: REST API docs.

Tool id: overhang-arm-at
Engine: overhang-arm-at
REST: POST /api/v1/calc/overhang-arm-at
MCP: execute_calculation with capability_id: "mechanical.statics.overhang_arm_at_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

Hibbeler, Mechanics of Materials — Deflection of beams — overhanging beam
Gere and Goodno, Mechanics of Materials — Deflection of beams — beam with an overhang

Reference evidence classes: O1 model · 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.statics.overhang_arm_at_deflection"},"_meta":{"io.modelcontextprotocol/protocolVersion":"2026-07-28","io.modelcontextprotocol/clientInfo":{"name":"calculatorx-docs-example","version":"1.0.0"},"io.modelcontextprotocol/clientCapabilities":{}}}}'

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: execute_calculation' \
  -d '{"jsonrpc":"2.0","id":2,"method":"tools/call","params":{"name":"execute_calculation","arguments":{"capability_id":"mechanical.statics.overhang_arm_at_deflection","inputs":{"P":48,"a":1,"z":1,"L":2,"E":1,"I":1},"calculation_version":"1.0.0"},"_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.