The fixed-ended shaft illustrated in Fig. P12.31 is made of an elastoplastic mate...

The fixed-ended shaft illustrated in Fig. P12.31 is made of an elastoplastic material for which the shear modulus of elasticity is G and the yield stress in shear is . Find the magnitude of the applied torque T. Assumption: The angle of twist at step Cis = 0.25 rad. Given: a = 2 m,b = 1.5 m,d₁ = 80 mm, d₂ = 50 mm,G = 80 MPa, and = 240 MPa.