_______________________________________________________________________ PROBLEM (9.30) Determine the maximum principal stress and the maximum shearing stress for a d = 50-mm-diameter shaft in equilibrium shown in Fig. P9.30. Assumption: The bearings at A and B are taken to be frictionless; they act as simple support. SOLUTION 4 kN A 0.4 m 0.6 m RA = 2.4 kN ∑T = 0 : B RB = 1.6 kN T = 2 × 10 3 (0.2) = 400 N ⋅ m M c = M max = 2.4 × 10 3 (0.4) = 960 σx = C τ= Equation (9.1): 32 M 16 M 2 16T 16 ) + (− 3 ) 2 = (M ± M 2 + T 2 ) σ 1,2 = ± ( 3 3 2π d πd πd πd3 16 = (960 ± 9602 + 4002 ) = (39.114 ± 42.373)10 6 π (0.05)3 Thus, σ 1 = 81.5 MPa σ 2 = −3.26 MPa τ max = 42.4 MPa 32M πd3 16T πd3 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.