Question

Maximum iorsional shear siress.? Select one: a)- occurs at the center of a shaft. b)- occurs at the outer surface of a shaft c)- occurs at the inner surface of a shaft.

Answer 1

b). Occurs at the outer surface of the shaft

Step-by-step explanation:

We know from shear stress and torque relationship, we know that

`(T)/(J)= (\tau )/(r)`

where, T = torque

J = polar moment of inertia of shaft

τ = torsional shear stress

r = raduis of the shaft

Therefore from the above relation we see that

`\tau = (T.r)/(J)`

Thus torsional shear stress, τ is directly proportional to the radius,r of the shaft.

When r= 0, then τ = 0

and when r = R , τ is maximum

Thus, torsional shear stress is maximum at the outer surface of the shaft.