Euler'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)) |
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E = the modulus of elasticity | E = the modulus of elasticity | ||
I = the least moment of inertia | <tex>I</tex> = the least moment of inertia | ||
l = length | <tex>l</tex> = length | ||
a = constant depending on end conditions | a = constant depending on end conditions | ||
<tex\pi</tex> = 3.14159 | <tex>\pi</tex> = 3.14159 | ||
[[Category:Glossary]] | [[Category:Glossary]] | ||
[[Category:Formulas]] | [[Category:Formulas]] | ||
Revision as of 02:14, 26 March 2007
A formula expressing the resistance of long columns to buckling:
<tex> P = \frac{a \pi^2 EI}{l^2} </tex>
where
P = the external load or pressure
E = the modulus of elasticity
<tex>I</tex> = the least moment of inertia
<tex>l</tex> = length
a = constant depending on end conditions
<tex>\pi</tex> = 3.14159