Question

A pin-ended column of length L, modulus of elasticity E and second moment of the cross sectional area is $I$ loaded concentrically by a compressive load P. The critical bucking load $P_{cr}$ is given by

• A. $P_{cr}=\frac{EI}{{\pi }^2{L}^2}$
• B. $P_{cr}=\frac{{\pi }^{2}EI}{3L^2}$
• C. $P_{cr}=\frac{\pi EI}{L^2}$
• D. $P_{cr}=\frac{{\pi }^{2}EI}{L^2}$

Answer 1

The correct option is D $P_{cr}=\frac{{\pi }^{2}EI}{L^2}$

$P_E=\frac{n{\pi }^{2}EI}{L^2}$
For pin-column, n=1
Here n = End fixity coefficient
E = Modulus of elasticity
I = Second moment of area
L = Actual length of column