Instructor's Solutions Manual ENGINEERING MECHANICS STATICS TENTH EDITION R. C. Hibbeler Pearson Education, Inc. Upper Saddle River, New Jersey 07458 Executive Editor: Eric Svendsen Associte Editor: Dee Bernhard Executive Managing Editor: Vince O'Brien Managing Editor: David A. George Production Editor: Barbara A. Till Director of Creative Services: Paul Belfanti Manufacturing Manager: Trudy Pisciotti Manufacturing Buyer: Ilene Kahn About the cover: The forces within the members of this truss bridge must be determined if they are to be properly designed. Cover Image: R.C. Hibbeler. © 2004 by Pearson Education, Inc. Pearson Prentice Hall Pearson Education, Inc. Upper Saddle River, NJ 07458 All rights reserved. No part of this book may be reproduced in any form or by any means, without permission in writing from the publisher. The author and publisher of this book have used their best efforts in preparing this book. These efforts include the development, research, and testing of the theories and programs to determine their effectiveness. The author and publisher make no warran- ty of any kind, expressed or implied, with regard to these programs or the documen- tation contained in this book. The author and publisher shall not be liable in any event for incidental or consequential damages in connection with, or arising out of, the furnishing, performance, or use of these programs. Pearson Prentice Hall® is a trademark of Pearson Education, Inc. Printed in the United States of America 10 9 8 7 6 5 4 3 2 1 ISBN 0-13-141212-4 Pearson Education Ltd., London Pearson Education Australia Pty. Ltd., Sydney Pearson Education Singapore, Pte. Ltd. Pearson Education North Asia Ltd., Hong Kong Pearson Education Canada, Inc., Toronto Pearson Educaci6n de Mexico, S.A. de c.v. Pearson Education-Japan, Tokyo Pearson Education Malaysia, Pte. Ltd. Pearson Education, Inc., Upper Saddle River, New Jersey Contents 1 General Principles 1 2 Force Vectors 5 3 Equilibrium of a Particle 77 4 Force System Resultants 129 5 Equilibrium of a Rigid Body 206 6 Structural Analysis 261 7 Internal Forces 391 8 Friction 476 9 Center of Gravity and Centroid 556 10 Moments of Inertia 619 11 Virtual Work 680 iii [...]... FR , 7SOsin 4S' + 800cos 30' = 1223.15 N- +t FR, , U, ; FR, 75Ocos 45· - 800sin 30· , 130.33N t The magniwde of die resullant force F~ is FR "";11 +11, =11223.152 + 130.332 '" 1230 N , 1.23 leN Ans The directional angle 9 measured counrerclockwise from positive x axis is 9,.tan·t~ =tan-t(~)"6.08 FR 1223.15 Ans 28 - - - - - - - - - - - - - - - - - - - - - - - - _ Z·5L Express each of the three forces... =0.8035 500 8 = 53.46° = 53.5° Thus ,= . [Fig. (b»). we have sin (9()0 - 9) sin 500 , =- 6 8 sin (90° -& apos; 9) = 0.5745 9 = 54.93° = 54.90 An. From rite mangle, , = 180° - (90° - 54.93°) - 500 = 94.93°. Thus. using law. 4.81 slug 32.2 - [14.5938 kg] _ 702 m - 155 _ 32.2 w = 155 (4.4482) = 689 N [ 5.30J W = 155 - = 25.5 Ib 32.2 - [14.5938 kg] _ 70 2 "'n m - ISS _ 32.2. (al 175 Ib/ft' = til 0.3048 m lb- = (27.5 ~~l' N) = 27.5 kN/m' ( 6 ft)(0.3048 m)( 1 h ) (bl 6 ftlh = h -I-r-t - 3600 s = 0.508(10)"' m/s = 0.508