# Young's Modulus

Young's modulus, abbreviated as Yo or E, 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.

### Young's Modulus formula

\(\large{ E = \frac { \sigma } { \epsilon } }\)

Where:

\(\large{ E }\) = Young's modulus

\(\large{ \sigma }\) (Greek symbol sigma) = stress

\(\large{ \epsilon }\) (Greek symbol epsilon) = strain

Solve for:

\(\large{ \sigma = E \; \epsilon }\)

\(\large{ \epsilon = \frac { \sigma } { E } }\)