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For a beam subjected to a constant bending moment throughout its length
- a)The shear force at all sections is zero
- b)The shear force at all sections is constant
- c)The shear force varies linearly along the length of the beam
- d)The shear force, varies non linearly along the length of the beam
Correct answer is option 'A'. Can you explain this answer?
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For a beam subjected to a constant bending moment throughout its leng...
Explanation:
When a beam is subjected to a constant bending moment throughout its length, the beam is in a state of pure bending. In such a case, the beam does not experience any shear force. This can be explained in the following points:
- Shear force and bending moment are two types of internal forces that act on a beam. Shear force is the force that tends to shear or cut the beam into two parts, while bending moment is the moment that tends to bend the beam.
- When a beam is subjected to a constant bending moment throughout its length, the beam is in a state of pure bending, and there is no external force acting on the beam that tends to shear it.
- Since shear force is the internal force that resists the external force that tends to shear the beam, there is no shear force acting on the beam in a state of pure bending.
- Therefore, the shear force at all sections of the beam is zero.
Conclusion:
Hence, the correct answer is option 'A' - The shear force at all sections is zero.
When a beam is subjected to a constant bending moment throughout its length, the beam is in a state of pure bending. In such a case, the beam does not experience any shear force. This can be explained in the following points:
- Shear force and bending moment are two types of internal forces that act on a beam. Shear force is the force that tends to shear or cut the beam into two parts, while bending moment is the moment that tends to bend the beam.
- When a beam is subjected to a constant bending moment throughout its length, the beam is in a state of pure bending, and there is no external force acting on the beam that tends to shear it.
- Since shear force is the internal force that resists the external force that tends to shear the beam, there is no shear force acting on the beam in a state of pure bending.
- Therefore, the shear force at all sections of the beam is zero.
Conclusion:
Hence, the correct answer is option 'A' - The shear force at all sections is zero.
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For a beam subjected to a constant bending moment throughout its lengtha) The shear force at all sections is zerob) The shear force at all sections is constantc) The shear force varies linearly along the length of the beamd) The shear force, varies non linearly along the length of the beamCorrect answer is option 'A'. Can you explain this answer?
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