Diagram shows an aluminum shaft A B with a support at A, marked 1 of length 1,500 millimeters and a brass shaft B C with a support at C, marked 2 of length 1,000 millimeters with a flange in between at B. The shafts are centered on the x axis. A torque T is applied at B.

The shear stress in a shaft is given by the elastic torsion formula:

τ=TcJ

Using the values computed for T1 and T2, calculate the shear stresses in each shaft:

τ1=T1c1J1=(424.63 N-m)(25 mm)(1,000 mm/m)362,265 mm4=29.30 MPa

τ2=T2c2J2=(-575.37 N-m)(25 mm)(1,000 mm/m)613,592 mm4=-23.44 MPa