# Torsion

Torsion, abbreviated as T, is the stress of twisting of an object due to applied torque.

### Torsion formula

\(\large{ T = \frac{J}{r} \; \tau }\)

Where:

\(\large{ T }\) (Greek symbol tau) = applied torque or moment of torsion

\(\large{ J }\) (Greek symbol alpha) = torsion constant

\(\large{ r }\) = distance between the rotational axis and the farthest point in the section

\(\large{ \tau }\) (Greek symbol tau) = maximum shear stress at the outer surface

## Torsion Related Articles

- See torsion constant for circle cross-section
- See torsion constant for ellipse cross-section
- See torsion constant for rectangle cross-section
- See torsion constant for square cross-section

Tags: Equations for Strain and Stress Equations for Structural Steel