Gordon'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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A column formula. Also called [[Rankine's formula]]:
A column formula. Also called [[Rankine's formula]]:


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


where:
where:


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


<tex>s</tex> = the allowable unit stress for blocks  
<math>s</math> = the allowable unit stress for blocks  


<tex>a</tex> = a constant depending on end conditions, etc.  
<math>a</math> = a constant depending on end conditions, etc.  


<tex>l</tex> = the unsupported length of the column  
<math>l</math> = the unsupported length of the column  


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


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

Latest revision as of 02:34, 22 October 2024

A column formula. Also called Rankine's formula:

where:

= the allowable unit stress for the column

= the allowable unit stress for blocks

= a constant depending on end conditions, etc.

= the unsupported length of the column

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