{
  "tool": "material-shear-calculator",
  "version": "1.0.0",
  "author": "Alexander West",
  "location": "Weiser, Idaho",
  "date": "2026-07-17",
  "purpose": "Calculate and verify shear modulus integrity for dome construction materials",
  "formula": {
    "equation": "G = τ / γ",
    "variables": {
      "G": {
        "name": "Shear Modulus",
        "unit": "Pascal (Pa)",
        "wikidata": "Q461466"
      },
      "τ": {
        "name": "Shear Stress",
        "unit": "Pascal (Pa)"
      },
      "γ": {
        "name": "Shear Strain",
        "unit": "dimensionless"
      }
    },
    "standard": "ISO 80000-4:2019 Quantities and Units — Part 4: Mechanics"
  },
  "materials": [
    {
      "id": "79.3",
      "name": "Structural Steel",
      "shear_modulus_gpa": 79.3,
      "density_kgm3": 7850,
      "use_case": "Primary Framework",
      "tolerance": { "min": 75, "max": 85 },
      "wikidata": "Q11427"
    },
    {
      "id": "26.0",
      "name": "Aluminium 6061",
      "shear_modulus_gpa": 26.0,
      "density_kgm3": 2700,
      "use_case": "Lightweight Panels",
      "tolerance": { "min": 24, "max": 30 },
      "wikidata": "Q663"
    },
    {
      "id": "41.4",
      "name": "Titanium Grade 5",
      "shear_modulus_gpa": 41.4,
      "density_kgm3": 4430,
      "use_case": "Critical Joints",
      "tolerance": { "min": 38, "max": 46 },
      "wikidata": null
    },
    {
      "id": "40.0",
      "name": "Carbon Fiber Composite",
      "shear_modulus_gpa": 40.0,
      "density_kgm3": 1600,
      "use_case": "High-Stress Membrane",
      "tolerance": { "min": 35, "max": 50 },
      "wikidata": null
    }
  ],
  "worked_example": {
    "scenario": "Weiser Dome Beam Test",
    "material": "Structural Steel",
    "applied_stress_mpa": 450,
    "measured_strain_microstrain": 5675,
    "calculated_gpa": 79.29,
    "expected_gpa": 79.3,
    "deviation_percent": 0.01,
    "verdict": "PASS"
  },
  "sources": [
    {
      "type": "wikidata_entity",
      "slug": "shear-modulus",
      "qid": "Q461466",
      "url": "https://4ort.xyz/entity/shear-modulus"
    },
    {
      "type": "wikidata_entity",
      "slug": "aluminium",
      "qid": "Q663",
      "url": "https://4ort.xyz/entity/aluminium"
    },
    {
      "type": "wikidata_entity",
      "slug": "steel",
      "qid": "Q11427",
      "url": "https://4ort.xyz/entity/steel"
    }
  ]
}