GATE ME 2026 Set 1 — Question 40
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Strength of Materials → Beams & Columns → Shear Force & Bending Moment
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Question
A cantilever beam of length is subjected to a concentrated load and a moment as shown in the figure below. Neglecting the mass of the beam, which one of the following options is the correct representation of shear force diagram (SFD) and bending moment diagram (BMD)?
Correct answer
(A) [figure]
Solution
1.Reactions at the fixed support (left end, let's call it A):
- Vertical reaction (upward) to balance the downward load .
- Moment reaction : Summing moments about A, .
- Given , we substitute: .
- Thus, the bending moment at the fixed support is zero.
- For : The shear force is constant and equal to .
- For : The shear force is .
- This matches the SFD in options (A) and (B).
- For : . At ; at .
- For : . The moment is constant at .
- This matches the BMD in option (A).
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