Chapter 1 Statics of Structures 1
1.1 Introduction 1
1.2 Forces 2
1.3 Supports 9
1.4 Idealizing Structures 13
1.5 Free-Body Diagrams 14
1.6 Equations of Static Equilibrium 16
1.7 Equations of Condition 21
1.8 Influence of Reactions on Stability and Determinacy of Structures 24
1.9 Classifying Structures 32
1.10 Comparison Between Determinate and Indeterminate Structures 36
Summary 39
Chapter 2 Trusses 40
2.1 Introduction 40
2.2 Types of Trusses 43
2.3 Analysis of Trusses 44
2.4 Method of Joints 45
2.5 Zero Bars 49
2.6 Method of Sections 51
2.7 Determinacy and Stability 57
Summary 63
Chapter 3 Beams and Frames 65
3.1 Introduction 65
3.2 Scope of Chapter 70
3.3 Equations for Shear and Moment 70
3.4 Shear and Moment Curves 78
3.5 Principle of Superposition 93
3.6 Sketching the Deflected Shape of a Beam or Frame 97
3.7 Degree of Indeterminacy 102
Summary 105
Chapter 4 Cables 107
4.1 Introduction 107
4.2 Characteristics of Cables 108
4.3 Variation of Cable Force 109
4.4 Analysis of a Cable Supporting Gravity （ Vertical） Loads 109
4.5 General Cable Theorem 111
4.6 Establishing the Funicular Shape of an Arch 113
Summary 116
Chapter 5 Arches 118
5.1 Introduction 118
5.2 Types of Arches 118
5.3 Three-Hinged Arches 120
5.4 Funicular Shape for an Arch That Supports a Uniformly Distributed Load 123
Summary 127
Chapter 6 Live Load Forces：Influence Lines 128
6.1 Introduction 128
6.2 Influence Lines 128
6.3 Construction of an Influence Line 129
6.4 The Muller-Breslau Principle 137
6.5 Use of Influence Lines 141
6.6 Influence Lines for Girders Supporting Floor Systems 144
6.7 Influence Lines for Trusses 150
6.8 Live Loads for Highway and Railroad Bridges 156
6.9 Increase-Decrease Method 159
6.10 Absolute Maximum Live Load Moment 163
6.11 Maximum Shear 167
Summary 168
Chapter 7 Deflections of Beams and Frames 169
7.1 Introduction 169
7.2 Double Integration Method 169
7.3 Moment-Area Method 176
7.4 Elastic Load Method 194
7.5 Conjugate Beam Method 199
7.6 Design Aids for Beams 208
Summary 210
Chapter 8 Work-Energy Methods 212
8.1 Introduction 212
8.2 Work 214
8.3 Strain Energy 216
8.4 Deflections by the Work-Energy Method （Real Work） 218
8.5 Virtual Work：Trusses 219
8.6 Virtual Work：Beams and Frames 235
8.7 Finite Summation 246
8.8 Bernoulli’s Principle of Virtual Displacements 248
8.9 Maxwell-Betti Law of Reciprocal Deflections 251
Summary 255
Chapter 9 The Flexibility Method 257
9.1 Introduction 257
9.2 Concept of a Redundant 258
9.3 Fundamentals of the Flexibility Method 259
9.4 Alternative View of the Flexibility Method （Closing a Gap） 263
9.5 Analysis Using Internal Releases 272
9.6 Support Settlements Temperature Change and Fabrication Errors 279
9.7 Analysis of Structures with Several Degrees of Indeterminacy 283
9.8 Beam on Elastic Supports 291
Summary 293
Chapter 10 The Slope - Deflection Method 295
10.1 Introduction 295
10.2 Illustration of the Slope-Deflection Method 296
10.3 Deflvation of the Slope-Deflection Equation 297
10.4 Analysis of Structures by the Slope-Deflection Method 303
Summary 304
10.5 Analysis of Structures That Are Free to Sidesway 315
10.6 Kinematic Indeterminacy 324
Summary 325