{
  "family": "end_triangle_deflection",
  "generator_id": "end-triangle-deflection-mpmath-o3",
  "generator_version": "1.0.0",
  "seed": "20260927.end-triangle-deflection-o3",
  "mpmath_dps": 80,
  "precision_bits": 265,
  "library": "mpmath 1.4.1",
  "notes": "end-peaked triangle midspan \u03b4 = 3 w0 L\u2074/(640 E I); + O3 mpmath tabulated \u03b4.",
  "vectors": [
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      "kind": "check",
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        "L": "1",
        "E": "1",
        "I": "1"
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      "I_f64": 1.0,
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      "inputs": {
        "w0": "1000",
        "L": "2",
        "E": "200e9",
        "I": "1e-5"
      },
      "delta_f64": 3.75e-05,
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      "I_f64": 1e-05,
      "I_decimal": "0.00001000000000000000000000000000000000000000"
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    {
      "id": "o3-alias",
      "kind": "alias",
      "inputs": {
        "w": "1280",
        "span": "1",
        "modulus": "1",
        "Ix": "1"
      },
      "delta_f64": 6.0,
      "delta_decimal": "6.000000000000000000000000000000000000000",
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      "w0_decimal": "1280.000000000000000000000000000000000000",
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      "I_f64": 1.0,
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      "id": "o3-awkward",
      "kind": "awkward",
      "inputs": {
        "w0": "13.7",
        "L": "3.5",
        "E": "210000",
        "I": "0.83"
      },
      "delta_f64": 5.5288733057228915e-05,
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      "I_decimal": "0.8300000000000000000000000000000000000000"
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      "id": "o3-neg",
      "kind": "signed",
      "inputs": {
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        "E": "1",
        "I": "1"
      },
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      "delta_decimal": "-3.000000000000000000000000000000000000000",
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      "w0_decimal": "-640.0000000000000000000000000000000000000",
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    {
      "id": "o3-small",
      "kind": "small",
      "inputs": {
        "w0": "10",
        "L": "1",
        "E": "1000",
        "I": "0.01"
      },
      "delta_f64": 0.0046875,
      "delta_decimal": "0.004687500000000000000000000000000000000000",
      "w0_f64": 10.0,
      "w0_decimal": "10.00000000000000000000000000000000000000",
      "L_f64": 1.0,
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      "E_decimal": "1000.000000000000000000000000000000000000",
      "I_f64": 0.01,
      "I_decimal": "0.01000000000000000000000000000000000000000"
    },
    {
      "id": "o3-stiff",
      "kind": "stiff",
      "inputs": {
        "w0": "500",
        "L": "1.5",
        "E": "210e9",
        "I": "2e-4"
      },
      "delta_f64": 2.825055803571429e-07,
      "delta_decimal": "0.0000002825055803571428571428571428571428571429",
      "w0_f64": 500.0,
      "w0_decimal": "500.0000000000000000000000000000000000000",
      "L_f64": 1.5,
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      "E_decimal": "210000000000.0000000000000000000000000000",
      "I_f64": 0.0002,
      "I_decimal": "0.0002000000000000000000000000000000000000000"
    },
    {
      "id": "o3-long",
      "kind": "long",
      "inputs": {
        "w0": "200",
        "L": "4",
        "E": "70e9",
        "I": "5e-5"
      },
      "delta_f64": 6.857142857142857e-05,
      "delta_decimal": "0.00006857142857142857142857142857142857142857",
      "w0_f64": 200.0,
      "w0_decimal": "200.0000000000000000000000000000000000000",
      "L_f64": 4.0,
      "L_decimal": "4.000000000000000000000000000000000000000",
      "E_f64": 70000000000.0,
      "E_decimal": "70000000000.00000000000000000000000000000",
      "I_f64": 5e-05,
      "I_decimal": "0.00005000000000000000000000000000000000000000"
    }
  ]
}