# Shear Modulus

Written by Jerry Ratzlaff on . Posted in Thermodynamics

Shear modulus, abbreviated as G, also called modulus of rigidity or shear modulus of elasticity, is the ratio of the tangential force per unit area applied to a body or substance to the resulting tangential strain within the elastic limits.

### Shear Modulus Formula

$$\large{ G = \frac { \tau } { \gamma } }$$

$$\large{ G = \frac { F\;l } { A\;\Delta x } }$$

Where:

$$\large{ G }$$ = shear modulus

$$\large{ A }$$ = area on which the force acts

$$\large{ F }$$ = force that acts

$$\large{ l }$$ = lateral length of the material without force applied

$$\large{ \gamma }$$  (Greek symbol gamma) = shear strain

$$\large{ \tau }$$  (Greek symbol tau) = shear stress

$$\large{ \Delta x }$$ = transverse displacement