# Column Buckling Stress

Written by Jerry Ratzlaff on . Posted in Classical Mechanics

Column buckling stress, abbreviated as $$\tau$$ (Greek symbol tau), is the allowable buckling stress of a column.

## Column Buckling Stress formula

 $$\large{ \sigma = \frac{ \pi^2 \; E }{ \left( \frac{ l }{ r } \right)^2 } }$$

### Where:

$$\large{ \sigma }$$ (Greek symbol sigma) = critical buckling of allowable stress of a column

$$\large{ r }$$ = least radius of column

$$\large{ \pi }$$ = Pi

$$\large{ l }$$ = unsupported length of column

$$\large{ E }$$ = Young's modulus