# Longitudinal Stress

Written by Jerry Ratzlaff on . Posted in Classical Mechanics

The stress imposed on the long axis of any shape.  It can be either a compressive or tensile stress.

For a pipe the stress is usally produced by the fluid pressure in the pipe and then acts upon the pipe wall.

### Longitudinal Stress formula

$$\large{ \sigma_l = \frac{ p\;d }{ 4\;t } }$$

Where:

$$\large{ \sigma_l }$$  (Greek symbol sigma) = longitudinal stress

$$\large{ p }$$ = internal pressure

$$\large{ d }$$ = pipe diameter

$$\large{ t }$$ = pipe thickness