According to Euler’s theory the critical length of the column is

According to Euler’s theory the critical length of the column is given by

A. \({P_c} = {{{\pi ^2}EI} \over {{l^2}}}\)

B. \({P_c} = {{{\pi ^2}EI} \over {{l^{}}}}\)

C. \({P_c} = {{\pi El} \over {{l^2}}}\)

D. \({P_c} = {{{{(\pi El)}^2}} \over {{l^{}}}}\)

Please scroll down to see the correct answer and solution guide.

For an Euler crieria for slender column,

Buckling load is proportional to moment of inertia and inversly proportional to square of the effective length.