Euler’s Formula:

Euler derived a formula to determine the buckling of column which is known as Euler’s Formula of buckling.

The formula is, F = n π2 E I / L2

Where, F= Critical load at which the column can fail

n=factor depending upon the column end conditions

E- Modulus of Elasticity

I=Moment of Inertia

L=Length of the column
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How to find end condition factor n?


Have a view on the image above to find the value of n for different end conditions.

1) n=1 when both end of column is pinned

2) n=4 for both end fixed

3)n=2 for one end fixed and the other end is pinned

4) n=0.25 for one end fixed and the other is free