_______________________________________________________________________ PROBLEM (9.3) A shaft of diameter d is subjected to an axial compressive load (P) and two torques (T1 , T2 ) as shown in Fig. P9.3. What is the maximum shear stress at point A on the surface of the shaft? Given: d = 120 mm, P = 500 kN, T1 = 4 kN ⋅ m, T2 = 6 kN ⋅ m SOLUTION At point A, T = 10 kN and P = 500 kN P 4(500) σx = − = − = −44.21 MPa A π (0.12)2 16T 16(10) τ xy = 3 = = 29.47 MPa πd π (0.12)3 τ xy A σx Hence τ max = ( σx 2 ) 2 + τ xy2 = (−22.105) 2 + (29.47) 2 = 36.84 MPa = R σ avg = σx 2 τ y R = −22.105 MPa tan 2θ p " = σ2 29.47 , 22.105 θ p = 26.56o C 2θp" O σavg σ1 σ x 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.