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
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