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 \(\large{\frac{lbf}{in^2}}\) \(\large{ Pa }\)

 

 

Tags: Equations for Strain and Stress Equations for Structural