_______________________________________________________________________ PROBLEM (9.31) A solid shaft of diameter d = 40 mm is subjected to a bending moment of M = 200π N ⋅ m. Determine the torque T that can also act if σ all = 120 MPa and τ all = 80 MPa. SOLUTION σx = τ= 32M 32(200π ) = = 100 MPa π d 3 π (0.04)3 16T = 79.577 × 10−3 T MPa πd3 Equation (9.1): 100 100 2 120 = ) + (79.577 × 10−3 T ) 2 + ( 2 2 4900 = 2500 + 6333 × 10 −6 T 2 , T = 616 N ⋅ m Equation (9.3): 80 = 2500 + 6333 × 10 −6 T 2 , Thus, Tall = 616 N ⋅ m T = 785 N ⋅ m 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.