A compound shaft consists of a titanium alloy [G= 6,200 ksi] tube (1) and a solid stainless steel [G= 11,500 ksi] shaft (2). Tube (1) has a length of L₁ = 50 in., an outside diameter of D₁ = 2.55 in., and a wall thickness of t₁ = 0.160 in. Shaft (2) has a length of L2 = 52 in. and a diameter of d₂ = 1.35 in. If an external torque of TB = 520 lb-ft acts at pulley B in the direction shown, calculate the torque Tc required at pulley C so that the rotation angle of pulley C relative to A is zero. X Answer: Tc= C B TB Tc (2) (1) lb-ft+ L2 L₁ Z

A polymer cylinder (2) is clamped between rigid heads by two steel bolts (1). The steel [E = 29,000 ksi; a = 6.5x10-6/°F] bolts have a diameter of 0.30 in. The polymer [E = 370 ksi; a = 38.3x 10-6/°F] cylinder has an outside diameter of 6.6 in. and a wall thickness of 0.75 in. Assume a = 29 in. and b = 37 in. If the temperature of this assembly changes by AT = 135°F, determine: (a) the normal stress in the polymer cylinder. (b) the normal strain in the polymer cylinder. (c) the normal strain in the steel bolts. %3D %3D %3D %3D (1) C (2) a (1) b. Answer: (a) 02 = psi. (b) E2 = 3d (c) E1 =

Problem 1 An aluminum rod is rigidly attached between a steel rod and a bronze rod as shown. Axial loads are applied at the positions indicated. Aluminum Steel A=800mm2 A=1000mm2 Bronze A=700mm? 4P 2P 500mm 600mm 700mm 1. What is the maximum value of P that will not exceed the axial stress bronze of 105 MPa? 2. What is the maximum value of P that will not exceed the axial stress in aluminum of 90 MPa? 3. If P=10KN, what is the axial force to be carried by the aluminum in KN? 4. If P is 5KN, what is the axial stress of steel?

Determine the normal stress and change in length of the aluminum rod if the temperature was raised by 125°C. The 0.5-mm gap exists at 20°C. q = 5 t = 0