Answer to Question #298370 in Civil and Environmental Engineering for James

Question

A solid steel bar of diameter d1 = 25.0 mm is enclosed by a steel tube of outer diameter d3 = 37.5 mm and inner diameter d2 = 30.0 mm (see figure). Both bar and tube are held rigidly by a support at end A and joined securely to a rigid plate at end B. The composite bar, which has a length L = 550 mm, is twisted by a torque T = 400 N-m acting on the end plate.

(a) Determine the maximum shear stresses Ƭ1 and Ƭ2 in the bar and tube, respectively.

(b) Determine the angle of rotation ϕ (in degrees) of

the end plate, assuming that the shear modulus of

the steel is G = 80 GPa.

(c) Determine the torsional stiffness kT of the

composite bar.

Answer 1

Answer is given below