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If a beam is subjected to a constant bending moment along its length, then the shear force will
  • a)
    Also have a constant value everywhere along its length
  • b)
    Be zero at all sections along the beam
  • c)
    Be maximum at the centre and zero at the ends  
  • d)
    zero at the centre and maximum at the ends
Correct answer is option 'B'. Can you explain this answer?
Most Upvoted Answer
If a beam is subjected to a constant bending moment along its length, ...
Explanation:
When a beam is subjected to a constant bending moment along its length, it means that the bending moment is the same at every section of the beam. This will result in a linear variation of the curvature along the length of the beam. As a result, the shear force at any section of the beam will be constant.

However, the constant value of the shear force will depend on the magnitude of the bending moment, the position of the section and the properties of the beam. The shear force is the rate of change of the bending moment along the length of the beam. Therefore, if the bending moment is constant, the shear force will be zero at all sections along the beam.

This can be explained by the equilibrium condition of the beam. The shear force at any section is the algebraic sum of the forces acting on either side of the section. If the shear force is constant, it means that the forces on either side of the section are balanced. Therefore, the shear force will be zero at all sections along the beam.

Conclusion:
Hence, it can be concluded that if a beam is subjected to a constant bending moment along its length, the shear force will be zero at all sections along the beam.
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Community Answer
If a beam is subjected to a constant bending moment along its length, ...
Given: BM= constant
        Thus, dM/dx = 0
but dM/dx = V(shear force)
Thus V=0 at all sections along the beam.
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If a beam is subjected to a constant bending moment along its length, then the shear force willa)Also have a constant value everywhere along its lengthb)Be zero at all sections along the beamc)Be maximum at the centre and zero at the ends d)zero at the centre and maximum at the endsCorrect answer is option 'B'. Can you explain this answer?
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