# Shear Modulus

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

Tags: Equations for Strain and Stress Equations for Force Equations for Modulus