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