A simply supported beam is subjected to a uniformly varying load. The shape of its bending moment diagram is ____________.

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DDA JE Civil Official Paper (Held On: 28 Mar, 2023 Shift 2)
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  1. cubic parabola
  2. parabola
  3. lemniscate
  4. semicircle

Answer (Detailed Solution Below)

Option 1 : cubic parabola
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Concept:

The general relationship between the shear force diagram, bending moment diagram, and loading diagram will be:

1. Shear force diagram is 1o higher than the loading diagram.

2. Bending moment diagram is 1higher than the shear force diagram.

3. For the uniformly varying load on the beam, the shear force diagram is parabolic in nature.

4. For the uniformly varying load on the beam, the bending moment diagram is also parabolic but is 1o higher than the shear force diagram.

Hence, In uniformly varying loads, the nature of the bending moment is the cubic parabola. 

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