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# buckling of long column

Wish to discuss the civil engineering topic "buckling of long column". Long column buckles-why?
Mayur Pathak • Sep 18, 2008
Buckling is nothing but sudden failure of a column due to high compressive stress. Use this Euler's formula to calculate the buckling load

F=[(pie)2EI]/[Kl]2

PS: 2 actually means square in above formula. The legends are-
F
= maximum or critical force (vertical load on column),
E
= modulus of elasticity,
I =
area moment of inertia,
l = unsupported length of column,
K
= column effective length factor, whose value depends on the conditions of end support of the column, as follows.

For both ends pinned (hinged, free to rotate), K = 1.0.
For both ends fixed, K = 0.50.
For one end fixed and the other end pinned, K = 1.0/√2.0.
For one end fixed and the other end free to move laterally, K = 2.0.

Hope this helps.