Table Of Content

L (cid:5) Table for Evaluating m m dx L 0 L mm¿dx L0 1 1 2 mm¿L 2mm¿L 2m1m1¿ + m2¿2L 3mm¿L 1 1 1 5 2mm¿L 3mm¿L 6m1m1¿ + 2m2¿2L 12mm¿L 1 1 1 1 2m¿1m1 + m22L 6m¿1m1 + 2m22L 63m1¿12m1 + m22 123m¿13m1 + 5m224L + m2¿1m1 + 2m224L 1 1 1 1 3a a2 2mm¿L 6mm¿1L + a2 6mm32m1L1¿1L+ +a24b2 + 12mm¿a3 + L - L2bL 1 1 1 1 2mm¿L 6mm¿L 6m12m1¿ + m2¿2L 4mm¿L Beam Deflections and Slopes c c g g Loading v + u + Equation(cid:4) (cid:4) PL3 PL2 P vmax = -3EI umax = -2EI v = 6EI1x3 - 3Lx22 atx = L atx = L vmax = M2EOLI2 umax = MEOIL v = 2MEOIx2 atx = L atx = L Beam Deflections and Slopes (continued) wL4 wL3 w vmax = -8EI umax = -6EI v = -24EI1x4 - 4Lx3 + 6L2x22 atx = L atx = L PL3 PL2 P vmax = -48EI umax = (cid:5)16EI v = 48EI14x3 - 3L2x2, atx = L>2 atx = 0 or x = L 0…x…L>2 Pab1L + b2 Pbx uL = - 6LEI v = -6LEI1L2 - b2 - x22 Pab1L + a2 u = 0…x…a 6LEI 5wL4 wL3 wx vmax = -384EI umax = (cid:5)24EI v = -24EI1x3 - 2Lx2 + L32 L atx = 2 wx v = - 116x3 - 24Lx2 + 9L32 384EI 3wL3 uL = -128EI 0 … x … L>2 7wL3 wL uR = 384EI v = -384EI18x3 - 24Lx2 + 17L2x - L32 L>2 … x … L u = -MOL L 6EI vmax = -9M2O3LE2I u = MOL v = -6MEOIxL1L2 - x22 R 3EI STRUCTURAL ANALYSIS This page intentionally left blank 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 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. Theauthorandpublisherofthisbookhaveusedtheirbesteffortsinpreparingthisbook.Theseeffortsincludethe development,research,andtestingofthetheoriesandprogramstodeterminetheireffectiveness.Theauthorand publishermakenowarrantyofanykind,expressedorimplied,withregardtotheseprogramsorthedocumentation containedinthisbook.Theauthorandpublishershallnotbeliableinanyeventforincidentalorconsequential damagesinconnectionwith,orarisingoutof,thefurnishing,performance,oruseoftheseprograms. 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 9 8 7 6 5 4 3 2 1 ISBN-10:0-13-257053-X ISBN-13:978-0-13-257053-4 To The Student With the hope that this work will stimulate an interest in Structural Analysis and provide an acceptable guide to its understanding. This page intentionally left blank 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 AppendixB that discusses some of the common features used for running current structural analysis computer software.