Engineering Sciences • Mechanics of Materials
Stress, Strain & Mohr's Circle
7 min read
| Loading | Stress | Deformation |
|---|---|---|
| Axial | σ = P/A | δ = PL/(AE) |
| Thermal | — | δ = αLΔT |
| Torsion (round shaft) | τ = Tr/J | φ = TL/(GJ) |
| Bending | σ = Mc/I | see the deflection tables |
| Transverse shear | τ = VQ/(Ib) | — |
Worked: principal stresses
σₓ = 12 ksi, σ_y = −4 ksi, τₓᵧ = 6 ksi. C = 4 ksi, R = √(8² + 6²) = 10 ksi. So σ₁ = 14 ksi, σ₂ = −6 ksi, and τ_max = 10 ksi.
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