Rankine's formula

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One of the most widely known formulae for the design and investigation of columns employed in engineering practice:

<tex> p=\frac{s}{1+a(\frac{l}{r})^2} </math>

where

<tex>p</math> = allowable unit stress for the column

<tex>s</math> = allowable unit stress for short columns

<tex>a</math> = a constant

<tex>l</math> = length

<tex>r</math> = radius of gyration in reference to an axis normal to a plane in which flexure takes place