GATE 2018 ME (ME1) – Question 29
A 15 mm × 10 mm rectangular steel column is 1.5 m long and simply supported at both ends. With E = 200 GPa, critical axial load, to two decimals, is ______ kN.
Practise this question in The GATE Grind →
Show answer and explanation
Correct answer: 1.00 to 1.20
Explanation
Use the weak-axis inertia $I=15(10^3)/12=1250$ mm⁴. For pinned ends, $P_{cr}=\pi^2EI/L^2=\pi^2(200000)(1250)/1500^2=1096.62$ N = 1.10 kN.