The shear force diagram is shown for a loaded beam. The corresponding bending moment is represented by
F2 Vinanti Engineering 12.07.23 D3

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ISRO VSSC Technical Assistant Mechanical 14 July 2021 Official Paper
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Answer (Detailed Solution Below)

Option 1 : F2 Vinanti Engineering 12.07.23 D4
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Explanation:

In structural analysis, shear force and bending moment are two important quantities. The shear force at a section of a beam is the force that is transverse (or perpendicular) to the beam, and the bending moment is the algebraic sum of the moments of all forces acting to one side of the section.

The relationship between shear force and bending moment is that the shear force is the derivative of the bending moment, and the bending moment is the integral of the shear force. This relationship comes from the equilibrium equations of statics.
F2 Vinanti Engineering 12.07.23 D3

Bending Moment diagram:

When SF = Constant BM should have a linear variation.
When SF linearly varies BM should vary parabolically.
Both conditions are satisfied for option (A).

F2 Vinanti Engineering 12.07.23 D4

 

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