T = torque (N·mm)
Hollow circular shaft torsion
Relates torque to outside/inside diameter for a hollow circular shaft in pure torsion.
VERIFIED FORMULA RECORD
T = (πτ/16)((Do⁴ − Di⁴)/Do)
Relates torque to outside/inside diameter for a hollow circular shaft in pure torsion.
Variables and units
τ = selected allowable shear stress (N/mm²)
Do = outside diameter (mm)
Di = inside diameter (mm)
Conditions and limitations
- Uniform hollow circular section
- Pure torsion
- Outside diameter is solved numerically
Source: J. E. Shigley et al., Mechanical Engineering Design, torsion of circular shafts.