_______________________________________________________________________ PROBLEM (9.12) A closed-ended cylinder of radius r and wall thickness t is subjected to an internal pressure p and an axial tension P. Determine for the shell wall: (a) The maximum tensile stress. (b) The maximum shearing stresses and the orientation of their planes. Given: r = 10 in., t = ½ in., p = 500 psi, P = 100 kips SOLUTION A = 2π rt = 2π (10)(0.5) = 31.42 in.2 500(10) σt = = 10 ksi 0.5 (a) pr σt = t σa = P pr + A 2t 100 ×103 + 5 = 8.18 ksi σa = 31.42 1 (b) τ max = (10 − 8.18) = 0.91 ksi 2 1 2 σ ' = (8.15 + 10) = 9.08 ksi 9.08 ksi 0.91 ksi 45o 9.08 ksi Excerpts from this work may be reproduced by instructors for distribution on a not-for-profit basis for testing or instructional purposes only to students enrolled in courses for which the textbook has been adopted. Any other reproduction or translation of this work beyond that permitted by Sections 107 or 108 of the 1976 United States Copyright Act without the permission of the copyright owner is unlawful.