Rankine's formula: Difference between revisions

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(Based on Glossary of Bridge Terminology; Chapter LXXX of J.A.L. Waddell's Bridge Engineering (New York: Wiley, 1916))
 
m (Text replacement - "<tex>" to "<math>")
 
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One of the most widely known formulae for the design and investigation of [[column|columns]] employed in engineering practice:
One of the most widely known formulae for the design and investigation of [[column|columns]] employed in engineering practice:


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


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


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


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


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

Latest revision as of 03:34, 22 October 2024

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

where

= allowable unit stress for the column

= allowable unit stress for short columns

= a constant

= length

= radius of gyration in reference to an axis normal to a plane in which flexure takes place