Question

What is the correct statement regarding the stress over the section of a shaft in torsion?

a) A normal stress that varies linearly over the section
b) A normal stress that is uniform over the section.
c) A shear stress that is uniform over the section.
d) A shear stress that varies linearly over the section

Answer 1

d) A shear stress that varies linearly over the section.

Step-by-step explanation:

Given that shaft is under pure torsion

As we know that relationship between shear stress in the shaft and radius given as

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

For solid shaft

`J=(\pi)/(64)d^4`

Therefore shear stress given as

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

T=Applied torque on the shaft

τ=Shear stress at any radius r

From the above equation we can say that shear stress is vaying linearly with the radius of the shaft

Therefore the answer will be d.