Euler's formula: Difference between revisions

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A formula expressing the resistance of long [[column|columns]] to [[buckling]]:
A formula expressing the resistance of long [[column|columns]] to [[buckling]]:


<tex>
<math>
P = \frac{a \pi^2 EI}{l^2}
P = \frac{a \pi^2 EI}{l^2}
</tex>
</math>


where
where
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E = the modulus of elasticity
E = the modulus of elasticity


<tex>I</tex> = the least moment of inertia
<math>I</math> = the least moment of inertia


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


a = constant depending on end conditions
a = constant depending on end conditions


<tex>\pi</tex> = 3.14159
<math>\pi</math> = 3.14159


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

Latest revision as of 03:06, 22 October 2024

A formula expressing the resistance of long columns to buckling:

where

P = the external load or pressure

E = the modulus of elasticity

= the least moment of inertia

= length

a = constant depending on end conditions

= 3.14159