# Beam Bending Stress

Written by Jerry Ratzlaff on . Posted in Mechanical Engineering

Beam bending stress, abbreviated as $$\sigma$$ (Greek symbol sigma), also called flexure, is when a beam is subjected to a load along it's length axis with stress applied perpendicular to the axis.

## Beam Bending Stress formula

 $$\large{ \sigma_b = \frac{M \; y}{I} }$$

### Where:

$$\large{ \sigma_b }$$  (Greek symbol sigma) = bending stress

$$\large{ M }$$ = moment about the neutral axis

$$\large{ y }$$ = perpendicular distance to the neutral axis

$$\large{ I }$$ = second moment of area about the neutral axis (moment of inertia)