Torsional Stress on a Shaft calculator

Torsional stress is the stress that develops in a material due to applied torque. It is denoted by the symbol $\tau$ (tau) and is measured in pascals (Pa) or newtons per square meter (N/m²) in SI units.

The formula for calculating torsional stress $\tau$ on a solid shaft with radius $r$ and subjected to a torque $T$ is given by:

where:

• $\tau$ = Torsional stress (in pascals, Pa or N/m²)
• $T$ = Torque applied to the shaft (in newton-meters, N·m)
• $r$ = Radius of the shaft (in meters, m)
• $J$ = Polar moment of inertia of the shaft’s cross-sectional area (in meters to the fourth power, m⁴)