Question

When a column is fixed at both ends corresponding Euler's criterion load is

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

Answer 1

The correct option is D $\frac{4{\pi }^{2}EI}{L^2}$

$P_{cr}=\frac{{\pi }^{2}EI}{l_{eff}^2}$
$l_{eff}=\frac{l}{2}$ (for both ends fixed)
$P_{cr}=\frac{4{\pi }^{2}EI}{l^2}$