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Question

The following bending moment diagram corresponds to a simply supported beam. The diagram shows a sudden jump (discontinuity) in bending moment at a point between the supports. Which of the following loading conditions produces this type of bending moment diagram?

This question was previously asked in
RRB JE 2025 CBT 2 Mechanical and Allied Engg Question Paper English (2-Jul-2026) (Shift-1)
The correct answer is

A couple acting at a point between the supports

The bending moment diagram provided corresponds to a simply supported beam with a sudden jump (discontinuity) in the bending moment at a point between the supports. This phenomenon can be explained by examining the effects of different loading conditions:

  1. A concentrated load acting at the midpoint of the beam: This load would create a parabolic bending moment diagram with no sudden jumps, as the bending moment would gradually increase to a maximum point at the location of the load.
  2. A uniformly distributed load acting over the entire span: This would result in a parabolic bending moment diagram as well, with maximum bending at the midpoint of the beam and no sudden changes.
  3. A couple acting at a point between the supports: When a couple acts at a specific point, it introduces a sudden change in the bending moment at that location. This is due to the moment (torque) directly applied, leading to an instantaneous shift in the bending moment value, resulting in the observed jump in the diagram.
  4. Equal and opposite vertical forces acting at the supports: This scenario would cause reactions at the supports but would not introduce discontinuities in the bending moment within the span of the beam.

Thus, the correct answer is a couple acting at a point between the supports. This loading condition produces the abrupt change in the bending moment diagram, as shown in the image.

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Similar Questions

  1. The bending moment diagram (BMD) for a simply supported beam carrying a uniformly distributed load over its entire span is:

  2. When reactions are found graphically for a simply supported beam with vertical point loads, the length of the reaction vector is proportional to:

  3. In a homogenous and prismatic continuous beam under uniformly distributed load, the bending moment at an intermediate support is: 

    (Consider that the length of each intermediate span measures the same.)

  4. A simply supported beam has a span of 6 m with an overhang of 4 m. A uniformly distributed load (UDL) of 6 kN/m acts over the overhang length of 4 m. What is the reaction at the nearest support?

  5. In a multi-story portal frame, how does increasing the number of stories affect the moment distribution in the frame?


Important Questions from Methods of Structural Analysis

  1. A surface structure has:-

  2. A single bay single storey portal frame has a hinged left support and fixed right support. It is loaded with a uniformly distributed load of w/m length on the beam. Which one of the following statements is true with regard to the deformation of the frame? Assume all the members have equal length.

  3. In the structural analysis, the unit load method used is:

  4. Who proposed the Theorem of Reciprocal Deflection?

  5. Which method can be used to analyse the two or three dimensional members?

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