Question

Problem 1: Power transmission in a composite shaft A aluminum-steel composite shaft is used to transmit power from one pulley to another, as shown in the following figure 2b tal tbl 2a t32 tb2 μι 2a Because the shaft is designed poorly, the center bearing exerts a frictional moment of Mfrictionw where K is the viscous coefficient and w is the angular velocity of the shaft Let L = 1 m, a-5cm, b = 1 cm, c-1 cm, with 6061 aluminum as the inner material and structural steel as the outer material. The loadings are to 100kN, t,2 25kN, toi 80kN, ta 10kN, and the viscous coefficient is K 10N m s/rad (1a) Determine the angular velocity w of the shaft, and the number of revolutions per second. (1b) Determine the maximum shear stresses in both the aluminum and steel in both parts of the shaft. Partial answer: max shear stress in aluminum 1.50MPa (1c) Find the power transmitted by each side of the shaft.

Answer 1