P-2 The compound shaft, composed of steel, aluminum, and bronze segments, carries the two torques shown in the figure. If Tc = 250 lb - ft, determine the max- imum shear stress developed in each material. The moduli of rigidity for steel, alu- minum, and bronze are 12 x 106 psi, 4 × 10° psi, and 6 × 10° psi, respectively. 500 Ib • ft Aluminum |2 in. Steel Bronze L0 in. 1.0 in. D 4 ft 3 ft 6 ft

6- A circular shaft is composed of a steel core and a brass covering, as shown in the figure. Under the applied torque, what is the maximum shear stress in each material? The composite shaft is attached to a wall at A. B O T= 5 KN•m Steel core r=15mm G=78 GPa bross cylinder ro=20mm (outer diameter) G=39 GPa

P = 300N ، a=140mm , b=240mm , d=26mm

The pin-connected assembly consists of aluminum rods (1) and (2) and steel rod (3). The aluminum rods each have a diameter of 11 mm and an elastic modulus of E = 78 GPa. The steel rod has a diameter of 16 mm and an elastic modulus of E = 200 GPa. Assumea = 4.1 m, b= 1.2 m, and c= 1.2 m. What is the magnitude of load P that is necessary to displace point A 12 mm to the left? a (1) (3) A B (2) Answer: P = i kN