_______________________________________________________________________ PROBLEM (9.11) A thin-walled cylindrical tank of radius r and thickness t is subjected to an internal pressure p, axial compression P , and a torque T applied to the tank through the rigid end plates (Fig. P9.11). Calculate the maximum principal stress in the cylinder wall. Given: d = 10 in, t = 0.2 in., p = 400 ksi, P = 5 kips, T = 250 kip ⋅ in. SOLUTION d = 2r A = 2π rt J = 2π r 3t y σy Stresses are: P pr σx = − + x A 2t 5 0.4(5) =− + = 4.2 ksi 2π (5)(0.2) 2(0.2) pr 0.4(5) σy = = = 10 ksi t 0.2 Tr T 250 τ xy = − = − =− = −7.96 ksi 2 J 2π r t 2π (5) 2 (0.2) Maximum principal stress is then 4.2 + 10 4.2 − 10 2 ) + (−7.96) 2 = 15.57 ksi σ1 = + ( 2 2 σx 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.