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The magnitude of stress induced in a shaft due to applied torque varies
  • a)
    From maximum at the centre to zero at the circumference
  • b)
    From zero at the centre to maximum at the circumference
  • c)
    From maximum at the centre to minimum but not zero at the circumference
  • d)
    From minimum but not zero at the centre, to maximum at the circumference
Correct answer is option 'B'. Can you explain this answer?
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The magnitude of stress induced in a shaft due to applied torque varie...
Stress in a Shaft Due to Applied Torque

When a torque is applied to a shaft, it induces stress in the material of the shaft. The magnitude of this stress varies along the length of the shaft, and it is important to understand how this stress varies in order to design a shaft that can withstand the applied torque.

Radial Stress

Radial stress is the stress that acts perpendicular to the axis of the shaft. In a shaft subjected to torque, the radial stress is maximum at the outer surface of the shaft, and it decreases to zero at the center of the shaft. This is because the torque causes the outer layer of the shaft to twist and deform, while the inner layer remains unaffected.

Tangential Stress

Tangential stress is the stress that acts parallel to the axis of the shaft. In a shaft subjected to torque, the tangential stress is maximum at the outer surface of the shaft, and it decreases linearly to zero at the center of the shaft. This is because the torque causes the outer layer of the shaft to twist and deform, while the inner layer remains unaffected.

Combined Stresses

The combined effect of radial and tangential stresses is to produce a maximum stress at the outer surface of the shaft, and a minimum stress at the center of the shaft. The magnitude of the stress varies linearly between these two points.

Answer

Option B is correct: From zero at the centre to maximum at the circumference. This is because the radial stress is zero at the center of the shaft, and it increases linearly to a maximum at the outer surface of the shaft, where it is equal to the tangential stress. The tangential stress is maximum at the outer surface of the shaft and decreases linearly to zero at the center of the shaft. Therefore, the total stress is maximum at the outer surface of the shaft and decreases linearly to zero at the center of the shaft.
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The magnitude of stress induced in a shaft due to applied torque varie...
Ans from zero at the centre to maximum at the circumference
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The magnitude of stress induced in a shaft due to applied torque variesa)From maximum at the centre to zero at the circumferenceb)From zero at the centre to maximum at the circumferencec)From maximum at the centre to minimum but not zero at the circumferenced)From minimum but not zero at the centre, to maximum at the circumferenceCorrect answer is option 'B'. Can you explain this answer?
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