Question

Consider a steel (Young's modulus E= 200 GPa) column hinged on both sides. Its height is 1.0 m and cross-section is $10mm\times 20mm.$ The lowest Euler critical bucking load (in N) is

Answer 1

$L_{\theta }=L$ for both end hinged
$F=\frac{{\pi }^{2}EI}{L^2}=\frac{{\pi }^2\times 200\times {10}^3\times 20\times {10}^3}{12\times (1000{)}^2}$
$=3289.868N$