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Proprietary Material. © 2009 The McGraw-Hill Companies, Inc. All rights reserved. No part of this Manual may be displayed, reproduced, or distributed in any form or by any means, without the prior written permission of the publisher, or used beyond the limited distribution to teachers and educators permitted by McGraw-Hill for their individual course preparation. A student using this manual is using it without permission. Problem 7.45 7.45 Solve Prob. 7.23, using Mohr's circle. 7.23 A 19.5-kN force is applied at point D of the cast-iron post shown. Knowing that the post has a diameter of 60 mm, determine the principal stresses and the y maximum shearing stress at point H. B = + (125)2 = 325 mm D Resolve the 19.5 kN force F at point D 19.5kN into x, and components. 300 mm Fx = = - 325 300 (19.5) =-18 = N E 100 mm A F2 = 325 125 = N 125 um 150 mun x Determine the force-couple system at the point on the y-axis where it intersects the plane containing elements H and K. My' N, N (7.5 100 mm)= = - 1.5 H K (7.5 KN mm) = Mx' M2= (18 150 Properties of section. (Circle) = 30 mm = m A = = (30)2 = 2.8274 = 2.8274 I = = = 636.17 = J = = (30) = = (Semicircle) = = = = = 60 mm = m Stresses at H. 6 = Fy = - 6 A I T = Pa = MPa H = FxQ It + J = = Pa = 26.526 MPa continued after Prob. 7.46 Problem 7.46 7.46 Solve Prob. 7.24, using Mohr's circle. 7.24 A 19.5-kN force is applied at point D of the cast-iron post shown. Knowing that the post has a diameter of 60 mm, determine the principal stresses and the maximum shearing stress at point K. y = + (125)2 = 325 mm B Resolve the 19.5 force F at point D D into x, and components.