Question

1. The tank shown is 24 inches long, has 8- inch mean diameter, 0.1-inch wall thickness, and contains 400 psi internal pressure. As part of a processing operation the tank is rapidly spun, which produces a torque of 16000 lb-inch at the section of interest. (a) determine the state of stress in the y-z plane at the point indicated (at the front surface of the tank) and indicate on a square differential element; (b) represent the state of stress on Mohr's circle and identify the principal stresses and maximum in-plane shear stress; (c) show the principal stress orientation of the reference frame by rotating the square differential element. 16000 lb-inch

Answer 1

C6 ) 4t 1%) 七こ0-1 uoo x8 8000 pa ut 4x0.1 2t 16000 x 8 = 1591.55 psi 40.242- shis plane o Y-z ptane → 16000 591.55 Kace 6000 1 R 七 2 ん

cue and uro uuna。 r, = (16000,-1591.55) (8000, 159135 T. | (8000, 1591.5.st. Co - o 28 χο 8000416000-12000 12000,0 2. -151. 55-1555O R,adGuD od Cf.ule P (0000-151.55 durle, -J116000-8000), (-1591+55-1591.55丿2. Mghu, ニ 。 5111。96 PS Mty.uo puandful ouu.aD = 12000 t Minou

1591 55 20二tan 2000-8000 2θ = 81。4° θ 10-85° 8000 6888.04 オ ю.ss"←-sudaaud andeleniu. 16000 ← 州6000 1591。55 4o 8000