# Young's Modulus

Written by Jerry Ratzlaff on . Posted in Thermodynamics

Young's modulus ( $$Yo$$ ) (also known as elastic modulus, modulus of elasticity and tension modulus) measures the stiffness of an elastic material.  The ratio of the longitudinal stress applied to a body or substance to the resulting longitudinal strain within the elastic limits.

## formula

$$E = \frac { \sigma } { \epsilon }$$

Where:

$$E$$ = Young's modulus

$$\sigma$$ (Greek symbol sigma) = stress

$$\epsilon$$ (Greek symbol epsilon) = strain

Solve for:

$$\sigma = E \epsilon$$

$$\epsilon = \frac { \sigma } { E }$$

Tags: Equations for Stress