Chapter 1 Analysis of Framed Structures 1
1.1 Introduction 1
1.2 Force Analysis 2
1.3 Principle of Superposition 2
1.4 Terminology 2
1.5 Stability and Determinacy 3
1.6 Practical Application When n ＝ m 5
1.7 Statically Determinate Structures 6
1.8 Plane Framed Structures 7
Problems 10
Chapter 2 Trusses 15
2.1 Stability and Determinacy 16
2.2 Forces of Interaction／Internal Force Resultants 17
2.3 Force Analysis of Statically Determinate Trusses 19
2.4 Method of Joints 19
2.5 Method of Sections 19
2.6 Conventions and Practice 19
Problems 27
Chapter 3 Internal Force Resultants 37
3.1 Internal and External Force Functions and Diagrams 38
3.2 Shear and Bending Moment Functions and Diagrams for Beams 39
3.3 Relationships Between Internal and External Loads 43
3.4 Shear and Bending Moment Diagrams for Frames 47
Problems 49
Chapter 4 Moveable Loads／Influence Functions and Lines 57
4.1 Influence Functions／Influence Lines 58
4.2 Application of Influence Line Concept 63
4.3 Generalized Application 64
4.4 Floor Girders 67
4.5 Bridge Trusses 69
4.6 Extreme Effects Due to Fixed Loads of Variable Placement 72
Problems 80
Chapter 5 Energy Methods （Part 1） 93
5.1 Introduction 93
5.2 Basic Concepts 93
5.3 Virtual Displacement／Virtual Work 95
5.4 Contacting Surfaces and Forces 96
5.5 Forces 97
5.6 Rigid Displacements 97
5.7 Small Displacements 98
5.8 Rectangular Components 99
5.9 Instantaneous Center 99
5.10 Principle of Virtual Work 100
5.11 Virtual Work of Forces on a Rigid Virtual Displacement 100
5.12 Vector Representations and Work Formulations 102
5.13 Example Problems 103
5.14 Influence Lines 108
Problems 115
Chapter 6 Displacement-Deformation Analysis of Structures 126
6.1 Trusses 128
6.2 Beams 129
6.3 Moment-Area Theorems 130
6.4 Notes for Application of the Moment-Area Theorems 134
6.5 Procedures for Application of the M-A Theorems to Deflection Analysis 135
6.6 Frames 143
6.7 Procedures 144
6.8 Combination Approach 156
Problems 158
Chapter 7 Energy Methods （Part 2） 173
7.1 Introduction 173
7.2 Displacements by Virtual Work 173
7.3 Procedure 175
7.4 Evaluation of δWσ 175
7.5 Basic Applications 178
7.6 Beam 179
7.7 Truss 180
7.8 Displacements Due to Applied Loads 181
7.9 Beams and Frames 182
7.10 Trusses 187
7.11 Combined Loads 191
7.12 Strain Energy and Internal Force-Deformation Relations 194
7.13 Conservative Applied Forces 195
7.14 Principle of Stationary Potential Energy 196
7.15 Principle of Minimum Potential Energy 197
7.16 Complementary Strain Energy and Force-Deformation Relations 198
7.17 The Special Case of Hooke's Law 199
7.18 Betti's Theorem 200
7.19 Maxwell's Reciprocal Theorem 201
7.20 Castigliano's Theorems 203
7.21 Theorem on Deflections 204
7.22 Theorem on Deflections Specialized for Hooke's Law 206
7.23 The Theorem of Least Work 207
7.24 Application of Castigliano's Theorems 209
Problems 211
Chapter 8 Statically Indeterminate Structures 231
8.1 Introduction 231
8.2 General Procedure of Analysis 233
8.3 Member Rigidity 233
8.4 Solution Strategies 233
8.5 Force Method 234
8.6 Displacement Method and Kinematic Indeterminacy 234
8.7 Flexibility and Stiffness： Flexibility Coefficients 235
8.8 Stiffness Coefficients 237
Chapter 9 Force Methods 239
9.1 Method of Consistent Deformation 239
9.2 Use of Superposition 241
9.3 Example Problems 241
9.4 Prescribed Displacements 257
9.5 The Three-Moment Equation 261
9.6 Application Procedure 267
9.7 Combined Methods 271
9.8 Method of Least Work 273
Problems 280
Chapter 10 Displacement Methods of Analysis 308
10.1 Slope-Deflection Equations 310
10.2 Applications 314
10.3 Note on the Equations of Equilibrium 315
10.4 Restatement of the Slope-Deflection Equations 315
10.5 End-Rotations 316
10.6 Examples of Beams and Frames with Prescribed Joint Displacements 316
10.7 Frames with Sidesway 326
10.8 Modified Slope-Deflection Equations 330
10.9 Applications 330
10.10 Sidesway Problems and Superposition 333
10.11 Moment Distribution 339
10.12 One Independent Joint Rotation 343
10.13 Two Independent Joint Rotations 344
10.14 Several Independent Joint Rotations 346
10.15 Non-Zero Prescribed Displacements and Moment Distribution 354
10.16 Sidesway Analysis and Moment Distribution 356
10.17 Equations of Equilibrium by Virtual Work： Matrix Methods 359
10.18 Hooke's Law 366
10.19 Reactions and Virtual Work 369
10.20 Strain Energy of Bending 373
10.21 Potential Energy of Prescribed Loads 376
10.22 Principle of Stationary Potential Energy： Equations of Equilibrium 378
10.23 Matrix Formulations—Summary 379
10.24 Application Procedure 380
Problems 387
Chapter 11 Influence Lines 415
11.1 Introduction 415
11.2 Muller-Breslau Principle 415
11.3 Influence Lines for Deflection 417
11.4 Practical Application 417
Problems 421
Appendix A 424
A.1 Supplemental Notes on the Principle of Virtual Work 424
Appendix B Sidesway Analysis 428
B.1 General Formulation and Superposition 428
B.2 General Formulation 428
B.3 Superposition 430
Answers 432
References 451
Index 453