Content
List of Figures xi
List of Tables xvii
Notation xix
Acknowledgments xxi
Chapter 1 Introduction 1
Chapter 2 Beam Bending 5
2.1 Unsymmetrical Bending-Normal Stress 5
2.2 Location of Neutral Axes 8
2.3 Location of Principal Axes 9
2.4 Pure Bending Condition 11
2.5 Problem-Biaxial Bending 12
2.6 Shear Center 17
2.7 Numerical Determination of Properties 24
2.8 Problem-Shear Center Location 27
Chapter 3 Pure Torsion 35
3.1 Theory of Elasticity 35
3.2 Membrane Analogy 39
3.3 Problem-Membrane Analogy 41
3.4 Approximation for KT 46
3.5 Built-up Cross Sections 47
3.6 Closed Thin-Walled Sections 47
Chapter 4 Warping Torsion 65
4.1 W Shaped Girder Behavior 65
4.2 General Open Cross Section 68
4.3 Torsional Properties-Numerical Procedure 73
4.4 Problem-Warping Torsional Properties 74
Chapter 5 Pure and Warping Torsion 81
5.1 Differential Equation and Solution 81
5.2 Problem-Torsional Response of Cantilever Girder 83
5.3 Approximate Solution 88
5.4 Closed Formed Solution-Variable Cross Section 95
5.5 Problem-Variable Cross Section 106
5.6 Problem-Continuous Span 109
Chapter 6 Curved Girders 115
6.1 Vlasov Girder Equations 115
6.2 Closed Form Solutions 125
6.3 Numerical Solution 130
6.4 Curved Girder Systems 145
Chapter 7 Design Data for Curved Girder Bridges 169
7.1 Impact Factors 169
7.2 Live Load Design 171
7.3 Dead Load Design 178
7.4 Torsional Properties 187
7.5 Effect of Skew Supports 191
7.6 Design Example 192
Chapter 8 Curved Box Girder Bridges 211
8.1 Bending 211
8 .2 Warping-Single Cell 211
8.3 Example Problem 212
8.4 Distortional Effects 223
8.5 Diaphragm Spacing 229
8.6 Distortional Property WA* 231
8.7 Stiffening of Box Beams 232
8.8 Design Example 252
Chapter 9 Influence Lines Curved I-Girders 263
9.1 General 263
9.2 Girder Properties 263
9.3 Girder Ratio 265
9.4 System Response 266
9.5 Influence Line Tables 272
9.6 Application 273
9.7 Example 280
Chapter 10 Computer Analysis of Curved Girders 335
10.1 Computer Programs 335
10.2 Sample Problems 339
Appendix 347
References 359
Author Index 365
Subject Index 367
About the Author 369