Question

For a long slender column of uniform cross section, the ratio of critical buckling load for the case with both ends clamped to the case with both ends hinged is

• A. 1
• B. 2
• C. 4
• D. 8

Answer 1

The correct option is C 4

Euler's buckling load,
$P_E=\frac{n{\pi }^{2}E{I}_{\text{min}}}{L^2}$
n = 4 for both end clamped (fixed)
n = 1 both end hinged
$\therefore$ Ratio = 4