GATE 2020 CE (CE1) – Question 29
The shown planar elastic parabolic structure has span 8.0 m, rise 2.4 m and uniformly distributed load 12 kN/m. Neglect self-weight. Find maximum bending moment (kN·m), nearest integer.
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Show answer and explanation
Correct answer: 95 to 97
Explanation
The right roller provides no horizontal reaction, hence no arch thrust. Vertical reactions are $wL/2=48$ kN. Bending moment is $48x-6x^2$, maximum at x = 4 m. Thus $M_{\max}=48(4)-6(16)=\mathbf{96}$ kN·m.