GATE ME 2015 Set 2 — Question 41
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Strength of Materials → Beams & Columns → Shear Force & Bending Moment
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Question
A cantilever beam OP is connected to another beam PQ with a pin joint as shown in the figure. A load of is applied at the mid-point of PQ. The magnitude of bending moment (in ) at fixed end O is
Correct answer
(C) 10
Solution
Beam PQ is a simply supported beam with supports at P (pin joint) and Q (roller). A load is applied at the midpoint of PQ ( from P). The reaction at P is calculated by taking moments about Q:This reaction force acts downwards on the cantilever beam OP at point P. The bending moment at the fixed end O is:Thus, the correct option is (C).
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