Project ForgeStrength of Materials
Bending of Beams
GATE 2018
Hard
A steel column of rectangular section (15 mm × 10 mm) and length 1.5 m is simply supported at both ends. Assuming modulus of elasticity, E=200 GPa for steel, the critical axial load (in kN) is ____ (correct to two decimal places).
1.1 kN(± 0.1 accepted)
Explanation
Buckling occurs about the weaker axis: I = (15×10³)/12 = 1250 mm⁴ (using the 10 mm dimension as the bending depth). For both ends simply supported (Le=L=1500 mm): Pcr = π²EI/L² = π²×200,000×1250/1500² ≈ 1096.6 N ≈ 1.10 kN.
Source: GATE ME 2018 Session 1 (Set 1) (2018)
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