GATE CE 2020 Set 1 — Question 38
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Structural Engineering → Indeterminate Analysis & Influence Lines → Influence Lines
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Question
Distributed load(s) of may occupy any position(s) (either continuously or in patches) on the girder PQRST as shown in the figure (not drawn to the scale)
The maximum negative (hogging) bending moment (in kN.m) that occurs at point R, is
Correct answer
(B) 56.25
Solution
To find the maximum negative (hogging) bending moment at R, we use the Influence Line Diagram (ILD) for . For a beam with supports at Q and S, the ILD for is obtained by placing a hinge at R and applying unit rotation. The ILD values are negative in the overhangs PQ and ST.
1.Load at P: .
2.Load at T: .
3.Area of negative ILD = Area(PQ) + Area(ST) = .
4.Max negative moment = .
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