Rankine's formula: Difference between revisions

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m (Text replacement - "</tex>" to "</math>")
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<tex>
<tex>
p=\frac{s}{1+a(\frac{l}{r})^2}
p=\frac{s}{1+a(\frac{l}{r})^2}
</tex>
</math>


where
where


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


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


<tex>a</tex> = a constant
<tex>a</math> = a constant


<tex>l</tex> = length
<tex>l</math> = length


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


[[Category:Glossary]]
[[Category:Glossary]]
[[Category:Formulas]]
[[Category:Formulas]]
[[Category:Column]]
[[Category:Column]]

Revision as of 02:19, 22 October 2024

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