_______________________________________________________________________ PROBLEM (9.2) A hollow outboard motor propeller shaft with an outer diameter D and inner diameter d is simultaneously acted upon by a torque T and an axial thrust P (Fig. P9.1) . What is the maximum shearing stress in the shaft? Given: D = 8 in. d = 4 in. T = 400 kip ⋅ in. P = 250 kips SOLUTION A= π 4 (82 − 42 ) = 37.7 in.2 J= π 32 (84 − 44 ) = 377 in.4 P 250 =− = −6.63 ksi 37.7 A Tr 400(4) τ xy = = = 4.24 ksi 377 J Thus σx = − τ max = ( σx 2 τ xy σx ) 2 + τ xy2 = (−3.315) 2 + (4.24) 2 = 5.38 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.