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Date : 2016-06-23 12:24:21

Introduction:

One of the earliest mathematical explanation of the phenomenon of buckling was given by Euler (1759) who proposed the Euler's theory.

 

Description:

 

Euler's formula:

 

 

where

fE = Euler’s critical stress,


PE = Euler’s critical load,


A = Area of cross section,


I = Moment of inertia of the section,

Radius of gyration,

Slenderness ratio of the element, and

k = A coefficient which depends upon the end condition of the column.

Also various empirical formulae, e.g. Rankine’s, Johnson’s and Perry’s are available for estimating the buckling load of columns.

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