A pin-ended column of length L, modulus of elasticity E and second moment of the cross-
sectional area I is loaded centrally by a compressive load P. The critical bucking load ($P_{cr}$) is given
by
(a) $P_{cr}=\frac{EI}{\pi ^2L^2}$ (b)$P_{cr}=\frac{\pi ^2EI}{3L^2}$
(c) $P_{cr}=\frac{\pi EI}{L^2}$ (d)$P_{cr}=\frac{\pi^2 EI}{L^2}$