{
  "capability_id": "mechanical.statics.cantilever_outer_at_deflection",
  "tool_id": "cantilever-outer-at",
  "engine": "cantilever-outer-at",
  "calculation_version": "1.0.0",
  "generated_at": "2026-09-25T01:47:46.284Z",
  "engine_build": "2026-09-24",
  "test_count": 2,
  "passed": 2,
  "failed": 0,
  "tests_summary": {
    "golden": {
      "total": 1,
      "passed": 1
    },
    "boundary": {
      "total": 1,
      "passed": 1
    },
    "property": {
      "total": 0,
      "passed": 0
    }
  },
  "engine_tested": true,
  "expert_reviewed": false,
  "internally_reviewed": false,
  "review_kind": null,
  "source_checked": true,
  "reviewed_by": null,
  "reviewer_role": null,
  "last_reviewed": null,
  "expert_review": {
    "status": "optional_not_performed",
    "reviewer": null,
    "scope": [
      "formula",
      "input semantics",
      "assumptions",
      "limitations",
      "sources",
      "tests"
    ],
    "note": "Domain expert review is optional under CVP (CVP-EXP-01). Absence does not block CVP Verified. See Review policy for supplemental domain assurance."
  },
  "internal_review": {
    "status": "not_applicable",
    "reviewer": null
  },
  "page": "https://www.calculatorx.com/calc/physics/cantilever-outer-at",
  "api": "https://www.calculatorx.com/api/v1/calc/cantilever-outer-at",
  "schema_input": "https://www.calculatorx.com/schemas/mechanical.statics.cantilever_outer_at_deflection.input.json",
  "schema_output": "https://www.calculatorx.com/schemas/mechanical.statics.cantilever_outer_at_deflection.output.json",
  "assumptions": [],
  "limitations": [
    "Load from a to the tip",
    "a is shorter than L",
    "I is an input"
  ],
  "boundary_conditions": [
    "missing w, a, x, L, E, or I → MISSING_REQUIRED_INPUT",
    "L ≤ 0, E ≤ 0, or I ≤ 0 → VALUE_MUST_BE_POSITIVE",
    "a < 0, a ≥ L, x ≤ 0, or x > L → INVALID_INPUT"
  ],
  "sources": [
    {
      "title": "Hibbeler, Mechanics of Materials",
      "section": "Deflection of beams — superposition",
      "supports": "An outer uniform load is the full uniform load minus the same load on the inner length.",
      "kind": "reference"
    },
    {
      "title": "Gere and Goodno, Mechanics of Materials",
      "section": "Deflection of beams — cantilever partially loaded",
      "supports": "Supports the tip value w [3 L⁴ − a³ (4L − a)]/(24 E I).",
      "kind": "reference"
    }
  ],
  "methods": [],
  "fingerprint": "sha256:a2832da35f8725d117235e49c860ee754951748e619f777dccbf07cb65195691",
  "tests": [
    {
      "id": "golden-tip",
      "ok": true,
      "kind": "golden",
      "inputs": {
        "w": 24,
        "a": 1,
        "x": 2,
        "L": 2,
        "E": 1,
        "I": 1
      },
      "expect": {
        "delta": 41,
        "model": "cantilever_outer_at_deflection"
      },
      "expectWarning": null,
      "actual": {
        "model": "cantilever_outer_at_deflection",
        "w": 24,
        "a": 1,
        "x": 2,
        "L": 2,
        "E": 1,
        "I": 1,
        "delta": 41,
        "solver": "cantilever outer uniform at a station",
        "convention": "Unloaded from the wall to a, then uniform intensity w to the tip. The curve is the full uniform curve minus the partial-from-wall curve. x = L is the outer-uniform tip page. a = 0 is the full uniform curve."
      },
      "tol": 1e-12
    },
    {
      "id": "boundary-full",
      "ok": true,
      "kind": "boundary",
      "inputs": {
        "w": 24,
        "a": 2,
        "x": 1,
        "L": 2,
        "E": 1,
        "I": 1
      },
      "expectError": "INVALID_INPUT",
      "code": "INVALID_INPUT",
      "error": "Unloaded length a must be shorter than the cantilever."
    }
  ],
  "tier": "engine_tested",
  "verification": {
    "tests": {
      "passed": 2,
      "total": 2,
      "golden": 1,
      "boundary": 1,
      "property": 0
    },
    "contract_checks": {
      "passed": 6,
      "total": 6
    }
  },
  "evidence_core_generated_at": "2026-09-24T22:59:42.914Z",
  "rendered_at": "2026-09-25T01:47:46.284Z",
  "release_integrity": {
    "status": "verified",
    "scope": "workspace",
    "production_attestation_required": true,
    "calculation_version": "1.0.0",
    "artifacts": {
      "engine": "1.0.0",
      "page": "1.0.0",
      "capability": "1.0.0",
      "evidence": "1.0.0",
      "input_schema": "1.0.0",
      "output_schema": "1.0.0",
      "mcp_contract": "1.0.0"
    },
    "digests": {
      "input_schema_sha256": "f8ac796863e1de2af4051c630a27ad33dbb4a3e080aaf22c28f88b37620905b0",
      "output_schema_sha256": "634f466d9a16e7326a4d7284902682fb229ca1fc0f77accfb28f91d17dfc0d85",
      "evidence_sha256": "0014274780dadd8fd0e9a2edaa7615ceb0fe8f967dbfbad1188380e0119edcac",
      "evidence_core_sha256": "0014274780dadd8fd0e9a2edaa7615ceb0fe8f967dbfbad1188380e0119edcac",
      "capability_sha256": "570ddb127908637bce4ee6bd69b0050a405befb96270c5cc3f3c49c9d639c0ca",
      "engine_sha256": "08114baefe55904e75ed849baa2ac95371b8b8133c19b39348ee1070175d5f3e",
      "mcp_contract_sha256": "9cf7d41527923e8ab8bfc3047f2db08da2aa448cbb98c0359c1d2dfd503a1c40"
    },
    "contract_checks": {
      "total": 6,
      "passed": 6,
      "failed": 0,
      "items": [
        {
          "id": "release-artifacts-aligned",
          "status": "pass",
          "detail": "1.0.0"
        },
        {
          "id": "schema-output-required-declared",
          "status": "pass"
        },
        {
          "id": "schema-valid-input-executes",
          "status": "pass"
        },
        {
          "id": "engine-success-output-validates-schema",
          "status": "pass"
        },
        {
          "id": "schema-rejects-incomplete-input",
          "status": "pass"
        },
        {
          "id": "rest-success-payload-validates-schema",
          "status": "pass"
        }
      ]
    },
    "report": "https://www.calculatorx.com/.well-known/calculatorx-release-integrity.json"
  }
}