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:

 Units English Metric $$\large{ \sigma }$$ (Greek symbol sigma) = critical buckling of allowable stress of a column $$\large{\frac{lbf}{in^2}}$$ $$\large{ MPa }$$ $$\large{ r }$$ = least radius of column $$\large{ in }$$ $$\large{ mm}$$ $$\large{ \pi }$$ = Pi $$\large{3.141 592 653 ...}$$ $$\large{ l }$$ = unsupported length of column $$\large{ in }$$ $$\large{ in }$$ $$\large{ E }$$ = Young's modulus $$\large{\frac{lbf}{in^2}}$$ $$\large{ Pa }$$