MATERIAL SHEAR CALCULATOR
WEISER MUNICIPAL SPECS × ALUMINIUM SHEAR MODULUS × DOMES
ENGINEERING CONTEXT
When the shear modulus holds, the whole structure breathes easy. Every beam we place in the dome must pass this calculation before the crane lifts.
Where:
• G = Shear Modulus (Pa)
• τ = Shear Stress (Pa)
• γ = Shear Strain (dimensionless)
Source: ISO 80000-4:2019 Quantities and Units — Part 4: Mechanics | Wikidata Q461466
This is the moment the weld locks. The caliper reads true. The prairie horizon becomes the dome's spine.
MATERIAL LIBRARY
| Material | Shear Modulus (GPa) | Density (kg/m³) | Use Case |
|---|---|---|---|
| Structural Steel | 79.3 | 7850 | Primary Framework |
| Aluminium Alloy 6061 | 26.0 | 2700 | Lightweight Panels |
| Titanium Grade 5 | 41.4 | 4430 | Critical Joints |
| Carbon Fiber Composite | 30-50 | 1600 | High-Stress Membrane |
Material constants sourced from: Wikidata Q663 (Aluminium), Wikidata Q11427 (Steel)
SHEAR VERIFICATION ENGINE
WORKED EXAMPLE
Weiser Dome Beam Test:
- Material: Structural Steel (Gₑₓₚₑcₜₑd = 79.3 GPa)
- Applied Shear Stress: 450 MPa
- Measured Strain: 5,675 με (microstrain)
- Calculation: G = 450 / (5,675 × 10⁻⁶) = 79.29 GPa
- ✓ PASS — Within 0.01% tolerance
Every number in this ledger is traceable. Every weld is accountable.