# 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:

 Units English Metric $$\large{ \sigma_l }$$  (Greek symbol sigma) = longitudinal stress $$\large{\frac{lbf}{in^2}}$$ $$\large{Pa}$$ $$\large{ p }$$ = internal pressure $$\large{\frac{lbf}{in^2}}$$ $$\large{Pa}$$ $$\large{ d }$$ = mean pipe diameter $$\large{ in }$$ $$\large{ mm }$$ $$\large{ t }$$ = pipe thickness $$\large{ in }$$ $$\large{ mm }$$

### Solve for:

 $$\large{ d = OD - t }$$ $$\large{ d = ID + t }$$