A steel shaft (Gs = 80 GPa) of total length L = 3.0 m is encased for one-third of its length by a brass sleeve (Gb = 40 GPa) that is securely bonded to the steel (see figure). The outer diameters of the shaft and sleeve are d1 = 70 mm and d2 = 90 mm. respectively.
(a) Determine the allowable torque T1 that may be applied to the ends of the shaft if the angle of twist between the ends is limited to 8.0°.
(b) Determine the allowable torque T2 if the shear stress in the brass is limited to Tb = 70 MPa.
(c) Determine the allowable torque T3 if the shear stress in the steel is limited to Ts = 110 MPa.
(d) What is the maximum allowable torque T max if all three of the preceding conditions must be satisfied?

Transcribed Image Text:

Brass sleeve Steel 90 mm shaft di ะไ0 mm 11.0 m→ =2.0 m Brass sleeve Steel shaft d2