# Shear Stress

Written by Jerry Ratzlaff on . Posted in Classical Mechanics

Shear stress, abbreviated as $$\tau$$ (Greek symbol tau), tends to deform the material by breaking rather than stretching without changing the volume by restraining the object.  Shear stress is the amount of force per unit area perpendicular to the axle of the object.

## Shear stress formula

$$\large{ \tau = \frac{F}{A_c} }$$
Symbol English Metric
$$\large{ \tau }$$  (Greek symbol tau) = shear stress  $$\large{\frac{lbf}{in^2}}$$ $$\large{Pa}$$
$$\large{ F }$$ = applied force $$\large{ lbf }$$ $$\large{N}$$
$$\large{ A_c }$$ = area cross-section of material perpendicular to the applied force $$\large{ in^2 }$$ $$\large{ mm^2 }$$