GATE ME 2025 Set 1 — Question 57
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Strength of Materials → Beams & Columns → Shear Force & Bending Moment
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Question
A simply supported beam of length is subjected to a uniformly distributed bending moment of throughout the length as shown in the figure given below. The bending moment at the mid-point of the beam is _____ (rounded off to the nearest integer).

Correct answer
0 to 0
Solution
Let the length of the beam be and the distributed moment be .
1.Reactions: Summing moments about support A:
From vertical equilibrium: .2.Internal Bending Moment : At any section from A:
Since the internal bending moment is zero everywhere along the beam, the bending moment at the mid-point () is .Continue learning with Success Tracker
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