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CHAPTER 1 Introduction1

1.1　Structures and Their Classification1

1.2　Cbjective and Learning Method of Structural Mechanics3

1.3 Analytical Mbdels of Structures5

1.4 Classification of Framed Structures12

1.5 The Classification of Loads15

Summary16

Problems for Reflecting17

CHAPTER 2　Geometric Construction Analysis of Structures18

2.1 Purpose of Analyzing Geometric Construction of Structures,Stable and Unstable Structural Systems18

2.2 The Concept of Degrees of Freedomand Restraints19

2.3 Geometric Construction Rules of Planar Stable Framed Systems Wthout Redundant Restraints24

2.4 Illustration of Geometric Construction Analysis28

2.5 The Relationship between Static Determinacy and Geometric Construction of Structures30

Summary31

Problems for Reflecting31

Problems for Solution32

CHAPTER 3 Statically Determinate Beams35

3.1 The Analysis of Single Span Beams35

3.2 Construction of Bending Moment Diagram By Principle of Superposition for Straight Members48

3.3 The Analysis of Simply Supported Inclined Beams51

3.4 The Restraint Force Calculation and Geometric Construction of Statically Determinate Multispan Beams55

3.5 The Construction of Internal Force Diagrams of Statically Determinate Multispan Beams57

Summary61

Problems for Reflecting62

Problems for Solution62

CHAPTER 4 Plane Statically Determinate Rigid Frames67

4.1 Geometric Construction and Characteristics of Plane Statically Determinate Rigid Frames68

4.2 The Analyzing of Reactions for Statically Determinate Rigid Frames70

4.3 Determination of Internal Forces of Member Ends by Using the Method of Sections73

4.4 The Construction of Internal Force Dlagrams of Statically Determinate Frames76

4.5 Internal Force Diagrams of Statically Determinate Three-hinged Frames,Multispan and Multistory Frames80

Summary84

Problems for Reflecting85

Problems for Solution87

CHAPTER 5 Three Hinged Arches91

5.1 The Constitution and Type of Three Hinged Arches91

5.2 The Reactions of Three Hinged Arches Under the Action of Vertical Loads92

5.3 The Formula for Calculating Internal Forces of Three Hinged Arches Under Action of Vertical Loads94

5.4 Stressing Performance of Three Hinged Arches99

5.5 Rational Axial Lines of Three Hinged Arches100

Summary104

Problems for Reflecting105

Problems for Solution106

CHAPTER 6 Plane Statically Determinate Trusses and Composite Structures108

6.1 Characteristics and Classification of Trusses108

6.2 The Method of Joints114

6.3 The Method of Sections119

6.4 The Combination of the Method of Joints and the Method of Sections123

6.5 Formand Stressing Characteristics of Girder Trusses125

6.6 Composite Structures128

Summary132

Problems for Reflecting133

Problems for Solution134

CHAPTER 7 General Remarks on Statically Determinate Structures139

7.1 Analytical Methods for Statically Determinate Structures139

7.2 General Property of Statically Determinate Structures144

7.3 Stressing Characteristics of Various Types of Structures148

Problems for Solution151

CHAPTER 8 Influence Lines153

8.1 Concept of influencelines153

8.2 Influence Lines for Statically Determinate Single Span Beams by Static Method156

8.3 Influence Lines for Girders with Floor Systems163

8.4 Influence Lines for Trusses by Using Static Method166

8.5 Virtual Displacement Method for Constructing Influence Lines for Statically Determinate Beams170

8.6 Application of Influence Lines179

Summary192

Problems for Reflecting193

Problems for Solution194

CHAPTER 9 Principle of Virtual Work and Displacement of Structures199

9.1 Introduction for Calculation of Structural Displacement199

9.2 Virtual Work and Principle of Virtual Work201

9.3 General Equation and Unit Load Method for Computing Displacements212

9.4 Calculation of Displacements Caused by Loads213

9.5 Graph-Multiplication Method221

9.6 Calculation of Displacements Caused by Temperature Changes233

9.7 Calculation of Displacements Caused by Support Movement236

9.8 Reciprocal Laws for Linear Elastic System238

Problems for Reflecting243

Problems for Solution246

CHAPTER 10 Force Method251

10.1 Statically Indeterminate Structures and Degrees of Indeterminacy251

10.2 Basic Concept of Force Method254

10.3 Canonical Equations of Force Method258

10.4 Statically Indeterminate Beams,Rigid Frames and Bent Frames262

10.5 Statically Indeterminate Trusses and Composite Structures272

10.6 Analysis of Symmetric Structures277

10.7 Statically Indeterminate Arches291

10.8 Internal Forces due to Support Settlements and Temperature Changes303

10.9 Computation of Displacements of Statically Indeterminate Structures309

10.10 Verification of Calculation of Statically Indeterminate Structures313

Summary317

Problems for Reflecting320

Problems for Solution323

CHAPTER 11 Displacement Method329

11.1 Fundamental Concepts of Displacement Method329

11.2 Member End Forces of Various Single-Span Indeterminate Prismatic Beams Due to Their End Displacements and External Loadings332

11.3 Primary Unknowns and Primary Systems in Displacement Method340

11.4 Displacement-Method Equations345

11.5 Analysis of Statically Indeterminate Beams and Rigid Frames with No Sidesway350

11.6 Analysis of Statically Indeterminate Rigid and Bent Frames with Sidesway357

11.7 Analysis of Statically Indeterminate Symmetric Structures365

11.8 Development of Displacement-Method Equations by Direct Stiffness Method370

Summary374

Problems for Reflecting376

Problems for Solution377

CHAPTER 12 Method of Successive Approximations and Influence Lines for Indeterminate Structures383

12.1 General Remarks for Method of Successive Approximations383

12.2 Concepts and Terminology in Moment Distribution Method384

12.3 Moment Distribution at a Single Joint-Moment-Distribution Process389

12.4 Moment Distribution at Multi-Joints-Successive Approximations395

12.5 No-Shear Moment Distribution Method408

12.6 Shear Distribution Method414

12.7 Influence Lines for Forces of Statically Indeterminate Structures420

12.8 Most Unfavorable Arrangement of Live Loads and Envelops for Internal Forces of Continuous Beams426

Summary430

Problems for Reflecting431

Problems for Solution432

CHAPTER 13 Matrix Displacement Method436

13.1 Introduction436

13.2 Member Stiffness Matrixin Local Coordinate System441

13.3 Member Stiffness Matrixin Global Coordinate System446

13.4 Global Stiffness Matrixes of Continuous Beams451

13.5 Global Stiffness Matrixes of Rigid Frames460

13.6 Equivalent Nbdal Loads466

13.7 Procedure for Analysis and Examples471

13.8 Global Analysis of Rigid Frames without Considering Axial Deformation480

13.9 Block Diagramand Computer Programs for Plane Framed Structures485

Summary509

Problems for Reflecting510

Problems for Solution511

CHAPTER 14 General Remarks on Statically Indeterminate Structures513

14.1 Classification and Comparison of Fundamental Methodused to Analyze Statically Indeterminate Structures513

14.2 Combined Method-Simultaneously Applying Moment Distribution and Displacement Methods to Frames with Sidesway513

14.3 Approximate Analysis of Statically Indeterminate Structures515

14.4 Properties of Statically Indeterminate Structures520

14.5 Complementary Discussion about Computing Models of Structures527

Summary533

Problems for Reflecting539

Problems for Solution540

Answers to selected problems541

Bibliography554