(Solved): Problem 2 A metal composite shaft AB with length L consists of a steel rod with radius r, the outer ...

Problem 2 A metal composite shaft

with length

consists of a steel rod with radius

, the outer surface of which is bonded to the inner surface of an aluminum tube, whose outer radius

is equal to

). The shaft has the geometry and cross section shown below. One end

of the shaft is fixed onto a rigid wall while the other end

is subjected to an external torque

. Take

for the steel rod and

for the aluminum tube. Figure 2.1. Composite shaft with external torque

(a) Find the angle of twist at

due to

. (b) Find the maximum shear stress in the steel rod. (c) Find the maximum shear stress in the aluminum tube. (d) If the allowable angle of twist is

, determine the maximum length the shaft can have when subjected to the torque

at the free end. Take

.