**Buckling of Columns**

the
“buckling load” for various types of end supports. The top figure below depicts a simply
supported column of length L and of flexural rigidity EI with compressive
load P. The lower figure shows the buckled
shape after lateral deflection. The differential equation
governing the deflection, y(x), is:
where y(x) is the lateral deflection of the
column P is the compressive load acting on the
column E is the modulus of elasticity for the
material of the column I is the moment of area of the X-section of
the column EI
is termed the flexural rigidity of the column
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