# Shear Modulus

on . Posted in Classical Mechanics

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

$$\large{ G = \frac { \tau } { \gamma } }$$
Symbol English Metric
$$\large{ G }$$ = shear modulus $$\large{\frac{lbf}{in^2}}$$ $$\large{Pa}$$
$$\large{ \gamma }$$  (Greek symbol gamma) = shear strain $$\large{rad}$$ $$\large{rad}$$
$$\large{ \tau }$$  (Greek symbol tau) = shear stress $$\large{\frac{lbf}{in^2}}$$ $$\large{Pa}$$