T = torque (N·mm)
Solid circular shaft torsion
Relates torque, selected allowable shear stress and diameter for a solid circular shaft under pure torsion.
VERIFIED FORMULA RECORD
T = πτd³ / 16
Relates torque, selected allowable shear stress and diameter for a solid circular shaft under pure torsion.
Variables and units
τ = selected allowable shear stress (N/mm²)
d = shaft diameter (mm)
Conditions and limitations
- Solid circular shaft
- Pure torsion
- Selected allowable stress is source-controlled
Source: J. E. Shigley et al., Mechanical Engineering Design, torsion of circular shafts.