Shaft torsion calculator
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Result
Maximum shear stress39.79 MPa
Angle of twist1.71 °
Polar moment J251327 mm⁴
Step-by-step solution
Polar moment of a solid shaft
J = πd⁴/32 = π·0.04⁴/32 = 2.513 × 10⁻⁷ m⁴
Shear stress at the surface
τ = T·r/J = 500·0.02/2.513 × 10⁻⁷ = 39.79 MPa
Angle of twist
φ = TL/(GJ) = 0.02984 rad = 1.71°
Key formulas
- Shear stress
- τ = T·r/J
- Solid shaft
- J = πd⁴/32
- Hollow shaft
- J = π(D⁴ − d⁴)/32
- Angle of twist
- φ = TL/(GJ)
- Power
- P = T·ω = 2πnT/60
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