STRUCTURALSTABILITYOFSTEEL: CONCEPTSANDAPPLICATIONS FORSTRUCTURALENGINEERS
STRUCTURALSTABILITYOF STEEL:CONCEPTSAND APPLICATIONSFOR STRUCTURALENGINEERS
THEODOREV.GALAMBOSANDREAE.SUROVEK
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Library of Congress Cataloging-in-Publication Data:
Galambos T. V. (Theodore V.)
Structural stability of steel : concepts and applications for structural engineers / Theodore
Galambos Andrea Surovek.
P.cm.
Includes bibliographical references and index.
ISBN 978-0-470-03778-2 (cloth)
1. Building Iron and steel-Congresses. 2. Stractuaral stabilityCongresses. L. Surovek Andrca.II. Tite.
TA684.G26 2005
624.1'821dc22
2007035514
ISBN: 978-0-470-03778-2
Printed in the United States of America
10987654321
ix
PREFACE
CHAPTER1 FUNDAMENTALS OF STABILITYTHEORY 1
1.1 Introduction 11.2 Basics of Stability Behavior: The Spring-Bar System 31.3 1.4 Fundamentals of Post-Buckling Behavior Snap-Through Buckling 18 71.5Multi-Degree-of-Freedom Systems 20Problems 1.6 Summary 24 23
CHAPTER2 ELASTIC BUCKLINGOFPLANARCOLUMNS
28
2.1 Introduction 282.2 Large-Deflection Solution of an Elastic Column 292.3 2.4 Differential Equation of Planar Flexure The Basic Case: Pin-Ended Column 32 362.5 Five Fundamental Cases 392.6 Stability of a Rigid Frame The Effect of Imperfections 43 522.8 2.7 End-Restrained Columns 552.9 Restrained Column Examples 622.11 2.10 Continuously Restrained Columns Summary 74 80Problems 80Appendix 85
CHAPTER3 INELASTIC COLUMNBUCKLING
87
3.1 Tangent and Reduced Modulus Concepts 873.2 Shanley’s Contribution 933.3 Example Illustrating the Tangent Modulus and the Reduced Modulus Concepts 983.4 Buckling Strength of Steel Columns 1013.5 Illustration of the Effect of Residual Stresses on the Buckling Strength of Steel Columns 103
3.6 Effect of Initial Out-of-Straightness and Load Eccentricity 123 1083.7 Design Formulas For Metal Columns 3.8Summary 130Problems 131
CHAPTER4 BEAM-COLUMNS
134
4.1 Introduction 1344.2 4.3 General Discussion of the Behavior of Beam-Columns Elastic In-Plane Behavior of Beam-Columns 135 1384.4 Elastic Limit Interaction Relationships 1474.5 4.6 Systematic Methods of Analysis: Flexibility Method Example Problems of Beam-Column Strength 149 1594.7 Systematic Methods of Analysis: The Stiffness Method 1704.9 Design of Beam-Columns 4.8 Inelastic Strength of Beam-Columns 186 197Problems 199
CHAPTER5 FRAMESTABILITY
203
5.1 Introduction 2035.2 Two-Bay Frame Examples Summary 230 2065.4 Selected References on Frames with Partially Restrained Joints 5.3 231Problems 232
CHAPTER6 LATERAL-TORSIONALBUCKLING
236
Introduction 2366.2 6.3 Basic Case: Beams Subjected to Uniform Moment The Effect of Boundary Conditions 246 2376.4 The Effect of Loading Conditions 2496.6Beam-Columns and Columns 6.5 Lateral-Torsional Buckling of Singly-Symmetric Cross-Sections 259 2706.7 Inelastic Lateral-Torsional Buckling 278Problems 6.8Summary 289 288