www.EngineeringEBooksPdf.com L Table for Evaluating L0 m m dx L L0 m m¿ dx mm¿L mm¿L m1m¿1 + m¿22L 2 mm¿L mm¿L mm¿L m1m¿1 + 2m¿22L mm¿L 12 m¿1m1 + m22L m¿1m1 + 2m22L 3m¿112m1 + m22 + m¿21m1 + 2m224L mm¿L mm¿1L + a2 m3m¿11L + b2 + m21L + a24 3a a2 mm¿ a3 + - bL 12 L L mm¿L mm¿L m12m¿1 + m¿22L mm¿L 3m¿13m1 + 5m224L 12 Beam Deflections and Slopes Loading v + c vmax = at x = L vmax = u + PL3 3EI MO L2 2EI at x = L g PL2 2EI at x = L umax = - umax = MO L EI at x = L www.EngineeringEBooksPdf.com Equation ϩ v = c ϩg P 1x3 - 3Lx22 6EI v = MO 2EI x2 Beam Deflections and Slopes (continued) vmax = - wL4 8EI at x = L vmax = - PL3 48EI at x = L>2 wL3 6EI at x = L umax = - PL2 16EI at x = or x = L u = at x = 5wL4 384EI v = Pab1L + b2 v = - 6LEI Pab1L + a2 wL3 24EI Pbx 1L2 - b2 - x22 6LEI 0…x…a 6LEI umax = Ϯ w 1x4 - 4Lx3 + 6L2x22 24EI P 14x3 - 3L2x2, 48EI … x … L>2 umax = Ϯ uL = - vmax = - v = - v = - wx 1x3 - 2Lx2 + L32 24EI L v = uL = uR = 3wL3 128EI 7wL3 384EI wx 116x3 - 24Lx2 + 9L32 384EI … x … L>2 v = - wL 18x3 - 24Lx2 + 17L2x - L32 384EI L>2 … x … L uL = vmax = - MO L2 23EI MO L 6EI v = - uR = MO L 3EI www.EngineeringEBooksPdf.com MO x 6EIL 1L2 - x22 STRUCTURAL ANALYSIS www.EngineeringEBooksPdf.com This page intentionally left blank www.EngineeringEBooksPdf.com STRUCTURAL ANALYSIS EIGHTH EDITION R C HIBBELER PRENTICE HALL Boston Columbus Indianapolis New York San Francisco Upper Saddle River Amsterdam Cape Town Dubai London Madrid Milan Munich Paris Montreal Toronto Delhi Mexico City Sao Paulo Sydney Hong Kong Seoul Singapore Taipei Tokyo www.EngineeringEBooksPdf.com Library of Congress Cataloging-in-Publication Data on File Vice President and Editorial Director, ECS: Marcia J Horton Acquisitions Editor: Tacy Quinn/Norrin Dais Managing Editor: Scott Disanno Production Editor: Rose Kernan Art Director: Kenny Beck Managing Editor, AV Management and Production: Patricia Burns Art Editor: Gregory Dulles Media Editor: David Alick Director, Image Resource Center: Melinda Reo Manager, Rights and Permissions: Zina Arabia Manager, Visual Research: Beth Brenzel Manager, Cover Visual Research and Permissions: Karen Sanatar Manufacturing Manager: Alexis Heydt-Long Manufacturing Buyer: Lisa McDowell Senior Marketing Manager: Tim Galligan Cover Designer: Kenny Beck About the Cover: Background Image: Orange Steel girders/zimmytws/Shutterstock; Inset image: Building under construction/Vladitto/Shutterstock © 2012 by R C Hibbeler Published by Pearson Prentice Hall Pearson Education, Inc Upper Saddle River, New Jersey 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 Pearson Prentice Hall™ is a trademark of Pearson Education, Inc 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 warranty of any kind, expressed or implied, with regard to these programs or the documentation 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 Previous editions copyright © 2009, 2006, 2002, 1999, 1995, 1990, 1985 by R C Hibbeler 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 Educación de Mexico, S.A de C.V Pearson Education—Japan, Tokyo Pearson Education Malaysia, Pte Ltd Pearson Education, Upper Saddle River, New Jersey Printed in the United States of America 10 ISBN-10: 0-13-257053-X ISBN-13: 978-0-13-257053-4 www.EngineeringEBooksPdf.com To The Student With the hope that this work will stimulate an interest in Structural Analysis and provide an acceptable guide to its understanding www.EngineeringEBooksPdf.com This page intentionally left blank www.EngineeringEBooksPdf.com PREFACE This book is intended to provide the student with a clear and thorough presentation of the theory and application of structural analysis as it applies to trusses, beams, and frames Emphasis is placed on developing the student’s ability to both model and analyze a structure and to provide realistic applications encountered in professional practice For many years now, engineers have been using matrix methods to analyze structures Although these methods are most efficient for a structural analysis, it is the author’s opinion that students taking a first course in this subject should also be well versed in some of the more important classicial methods Practice in applying these methods will develop a deeper understanding of the basic engineering sciences of statics and mechanics of materials Also, problem-solving skills are further developed when the various techniques are thought out and applied in a clear and orderly way By solving problems in this way one can better grasp the way loads are transmitted through a structure and obtain a more complete understanding of the way the structure deforms under load Finally, the classicial methods provide a means of checking computer results rather than simply relying on the generated output New to This Edition • Fundamental Problems These problem sets are selectively located just after the example problems They offer students simple applications of the concepts and, therefore, provide them with the chance to develop their problem-solving skills before attempting to solve any of the standard problems that follow You may consider these problems as extended examples since they all have solutions and answers that are given in the back of the book Additionally, the fundamental problems offer students an excellent means of studying for exams, and they can be used at a later time to prepare for the exam necessary to obtain a professional engineering license • Content Revision Each section of the text was carefully reviewed to enhance clarity This has included incorporating the new ASCE/ SEI 07-10 standards on loading in Chapter 1, an improved explanation of how to draw shear and moment diagrams and the deflection curve of a structure, consolidating the material on structures having a variable moment of inertia, providing further discussion for analyzing structures having internal hinges using matrix analysis, and adding a new Appendix B that discusses some of the common features used for running current structural analysis computer software www.EngineeringEBooksPdf.com ... www.EngineeringEBooksPdf.com MO x 6EIL 1L2 - x22 STRUCTURAL ANALYSIS www.EngineeringEBooksPdf.com This page intentionally left blank www.EngineeringEBooksPdf.com STRUCTURAL ANALYSIS EIGHTH EDITION R C... members and their size Structural design, therefore, follows a series of successive approximations in which every cycle requires a structural analysis In this book, the structural analysis is applied... using matrix analysis, and adding a new Appendix B that discusses some of the common features used for running current structural analysis computer software www.EngineeringEBooksPdf.com VIII