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]]: | ||
< | <math> | ||
P = \frac{s}{1+a\frac{l^2}{r^2}} | P = \frac{s}{1+a\frac{l^2}{r^2}} | ||
</tex> | </tex> | ||
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where: | where: | ||
< | <math>P</tex> = the [[allowable stress|allowable unit stress]] for the column | ||
< | <math>s</tex> = the allowable unit stress for blocks | ||
< | <math>a</tex> = a constant depending on end conditions, etc. | ||
< | <math>l</tex> = the unsupported length of the column | ||
< | <math>r</tex> = 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]] | ||
Revision as of 02:14, 22 October 2024
A column formula. Also called Rankine's formula:
<math> P = \frac{s}{1+a\frac{l^2}{r^2}} </tex>
where:
<math>P</tex> = the allowable unit stress for the column
<math>s</tex> = the allowable unit stress for blocks
<math>a</tex> = a constant depending on end conditions, etc.
<math>l</tex> = the unsupported length of the column
<math>r</tex> = the least radius of gyration in reference to an axis normal to the plane in which flexure takes place