Question

Question 15 The composite shaft shown consists of a 0.2-in-thick brass jacket (G = 5.6 x 106 psi) bonded to a 1.2-in.-diameter steel core (Gsteel = 11.2 x 106 psi). Knowing that the shaft is subjected to 5 kip-in. torques, determine: 1. The torques in steel and brass. 2. The maximum shearing stress in the brass jacket. 3. The maximum shearing stress in the steel core. (Note: the angle of twist in steel equals to the angle of twist in brass) 6 ft T B T Brass jacket 1.2 in. А Steel core 0.2 in MacBook Air 80 DOO 000 F ►II # 3 A $ 4 % 5 & 7 6 - * o 8 9 0 E 70 T Y

Answer 1

Soin=>] 1.6in K * Js = mx 1.24 0. 2036 ing В Jose aux (1.64_1.24) = 0.4398 int 11.2 X106 psi, GB = 5.68100 psi j.zin Gg = 11.2 T= skip-in T= Torque sesisted by steel to core (Ts) + Torque tesisted by Brass Jacket (TB) T = Tst TB twist in steel Angle of twist in Brass 0 = 1 1 1 esh 0 Angle of TB L = Ts L 5.6 X106 x 0.4396 11.2X106 0.2036 Ts=0.9259 TB ITS 2.4038 kip-in From emhof ☺ ITB 2.596 kip-in * Max. sheasing stress in brass Jacket (Zr Imax Psi - (TB) max TB Xoob JB 2.596.X103 X0.8 * 0.4398 (EB) max 4.733 ksi Max. shearing stress in steel core (Is max . (Is) max Js Ts 2.4038 X 0.6 •X0.6 0.3036 (Is) max = 7.0838 ksi