The magnitude of shear stress induced in a shaft due to applied torque varies from: 

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JKSSB JE Mechanical 02 Nov 2021 Shift 1 Official Paper
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  1. zero at centre to maximum at circumference 
  2. minimum(not zero) at centre to maximum at circumference
  3. maximum at centre to minimum (not zero) at circumference
  4. maximum at centre to zero at circumference 

Answer (Detailed Solution Below)

Option 1 : zero at centre to maximum at circumference 
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Detailed Solution

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Explanation:

The simple torsion equation is written as

\(\frac{T}{J} = \frac{\tau }{r} = \frac{{G\theta }}{L}\;or\;\tau = \frac{{G\theta r}}{L}\)

This states that the shearing stress varies directly as the distance ‘r' from the axis of the shaft and the following is the stress distribution

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Hence the maximum shear stress occurs on the outer surface of the shaft where r = R and at the centre the shear stress is zero.

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