# Beam Shear Stress

on . Posted in Classical Mechanics

Beam shear stress, abbreviated as $$\tau$$ (Greek symbol tau), is the horizontal shear stress of a beam.

## Beam Shear Stress formula

$$\large{ \tau = \frac{ V \; Q }{ I \; t } }$$
Symbol English Metric
$$\large{ \tau }$$ (Greek symbol tau) = shear stress $$\large{\frac{lbf}{in^2}}$$ $$\large{Pa}$$
$$\large{ Q }$$ = first moment of area $$\large{ in^4 }$$ $$\large{ mm^4 }$$
$$\large{ t }$$ = material thickness perpendicular to shear $$\large{ in }$$ $$\large{ mm }$$
$$\large{ I }$$ = moment of inertia of entire area cross-section $$\large{ in^4 }$$ $$\large{ mm^4 }$$
$$\large{ V }$$ = total shear force at the point of location $$\large{\frac{lbf}{in^2}}$$ $$\large{Pa}$$