A composite shaft is subjected to a torque as shown in Figure-1. The shaft consists of two portions that are connected at flange B. The composite shaft is securely attached to rigid supports at A and C. The portion (1) has a diameter of 24 mm, a length of 233 mm, and a shear modulus of 45 GPa. The portion (2) has an outer diameter of 27 mm and inner diameter of 18 mm, a length of 215 mm, and a shear modulus of 38 GPa. If T=288 N.m is applied to flange B,

A composite assembly consisting of a steel [G = 80 GPa] core (2) connected by rigid plates at the ends of an aluminum [G = 28 GPa] tube (1) is shown. The cross-sectional dimensions of the assembly are shown in the second figure. Assume L = 340 mm, D1 = 53, d = 37 mm, d2 = 19 mm. If a torque of T = 1200 N-m is applied to the composite assembly, determine (a) the maximum shear stress in the aluminum tube and in the steel core. (b) the rotation angle of end B relative to end A. (1) T T B L (1) d2 di DI Answers: (a) Talum = i 53.839 MPa Tsteel i 891.026 MPa (b) PB - PA = i 0.02467 rad (2)

SOLVES STEP BY STEP, USE TABLE IF NECESSARY

The following structure has a compression allowable stress of 50 MPa. In the laboratory, it was found that the allowable stress in tension is 5 MPa.