Question

When both ends of column are pinned or hinged, buckling load equation is given by

• A. $$\frac{\pi^2EI}{l^2}$$
• B. $$\frac{\pi^3EI}{l^3}$$
• C. $$\frac{\pi^2EI}{l^3}$$
• D. $$\frac{\pi^2EI}{l^4}$$

Answer 1

Answer:

$$\frac{\pi^2EI}{l^2}$$

End conditions	$L_e$	Buckling load
Both ends Hinged	$L_e=L$	$P_b=\frac{\pi^2EI}{L^2}$
Both ends Fixed	$L_e=\frac L2$	$P_b=\frac{4\pi^2EI}{L^2}$
One end fixed and other end is free	$L_e=2L$	$P_b=\frac{\pi^2EI}{4L^2}$
One end fixed and other end is hinged	$L_e=\frac {L}{\sqrt2}$	$P_b=\frac{2\pi^2EI}{L^2}$