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When a machine member is subjected to torsion, the torsional shear stress set up in the member is
- a)zero at both the centroidal axis and outer surface of the member
- b)maximum at both the centroidal axis and outer surface of the member
- c)zero at the centroidal axis and maximum at the outer surface of the member
- d)maximum at the centroidal axis and zero at the outer surface of the member
Correct answer is option 'C'. Can you explain this answer?
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When a machine member is subjected to torsion, the torsional shear str...
When a machine member is subjected to two equal and opposite couples acting in parallel plane, then the machine member is said to be subjected to torsion. The stress set up by torsion is known as torsional shear stress. It is zero at the centroidal axis and maximum at the outer surface.
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When a machine member is subjected to torsion, the torsional shear str...
Torsional Shear Stress in a Machine Member
When a machine member is subjected to torsion, a twisting force is applied to the member. This creates a torsional shear stress in the member, which can lead to failure if the stress exceeds the material's strength. The distribution of torsional shear stress in a machine member depends on the shape and size of the member.
Torsional Shear Stress Distribution
The torsional shear stress distribution in a circular shaft is not uniform. The maximum torsional shear stress is found at the outer surface of the shaft, and the minimum torsional shear stress is found at the centroidal axis of the shaft. The distribution of torsional shear stress can be approximated by a parabolic curve.
Explanation of Option C
According to option C, the torsional shear stress is zero at the centroidal axis and maximum at the outer surface of the member. This is the correct answer because the torsional shear stress distribution in a circular shaft is not uniform, as explained above. The maximum torsional shear stress occurs at the outer surface of the shaft because this is where the material is farthest from the centroidal axis and experiences the greatest amount of twisting force. The torsional shear stress is zero at the centroidal axis because this is where the material experiences the least amount of twisting force.
Conclusion
In summary, when a machine member is subjected to torsion, the torsional shear stress distribution in the member is not uniform. The maximum torsional shear stress occurs at the outer surface of the member, and the minimum torsional shear stress occurs at the centroidal axis of the member. This is why option C is the correct answer.
When a machine member is subjected to torsion, a twisting force is applied to the member. This creates a torsional shear stress in the member, which can lead to failure if the stress exceeds the material's strength. The distribution of torsional shear stress in a machine member depends on the shape and size of the member.
Torsional Shear Stress Distribution
The torsional shear stress distribution in a circular shaft is not uniform. The maximum torsional shear stress is found at the outer surface of the shaft, and the minimum torsional shear stress is found at the centroidal axis of the shaft. The distribution of torsional shear stress can be approximated by a parabolic curve.
Explanation of Option C
According to option C, the torsional shear stress is zero at the centroidal axis and maximum at the outer surface of the member. This is the correct answer because the torsional shear stress distribution in a circular shaft is not uniform, as explained above. The maximum torsional shear stress occurs at the outer surface of the shaft because this is where the material is farthest from the centroidal axis and experiences the greatest amount of twisting force. The torsional shear stress is zero at the centroidal axis because this is where the material experiences the least amount of twisting force.
Conclusion
In summary, when a machine member is subjected to torsion, the torsional shear stress distribution in the member is not uniform. The maximum torsional shear stress occurs at the outer surface of the member, and the minimum torsional shear stress occurs at the centroidal axis of the member. This is why option C is the correct answer.
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When a machine member is subjected to torsion, the torsional shear stress set up in the member isa)zero at both the centroidal axis and outer surface of the memberb)maximum at both the centroidal axis and outer surface of the memberc)zero at the centroidal axis and maximum at the outer surface of the memberd)maximum at the centroidal axis and zero at the outer surface of the memberCorrect answer is option 'C'. Can you explain this answer?
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