(i) When a circular shaft is subjected to torsion, show that the shear stress varies
linearly from the axis to the surface.
(ii) Prove that the torque transmitted by a solid shaft when subjected to torsion is
given by. \(Torque transmitted/polar moment = max.shear stress/radius of shaft = ( modulus of rigidity x angle of twist)/ length of shaft\)
where
T = Torque transmitted, J = Polar moment of inertia, τ = Max. shear stress,
R = Radius of the shaft, C = Modulus rigidity, θ = Angle of twist, and L =length of shaft
