Gordon's formula: Difference between revisions
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m (Text replacement - "<tex>" to "<math>") |
m (Text replacement - "</tex>" to "</math>") |
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| Line 3: | Line 3: | ||
<math> | <math> | ||
P = \frac{s}{1+a\frac{l^2}{r^2}} | P = \frac{s}{1+a\frac{l^2}{r^2}} | ||
</ | </math> | ||
where: | where: | ||
<math>P</ | <math>P</math> = the [[allowable stress|allowable unit stress]] for the column | ||
<math>s</ | <math>s</math> = the allowable unit stress for blocks | ||
<math>a</ | <math>a</math> = a constant depending on end conditions, etc. | ||
<math>l</ | <math>l</math> = the unsupported length of the column | ||
<math>r</ | <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
