《matrix analysis of structures P497》求取 ⇩

CHAPTER 1 CONCEPTS OF STRUCTURAL ANALYSIS1

1.1 Introduction1

1.2 Solution Methods4

1.3 Classification of Structures8

1.4 Comparison of Classical, Matrix, and Approximate Methods of Structural Analysis9

1.5 Summary10

CHAPTER 2 EQUILIBRIUM AND COMPATIBILITY12

2.1 Introduction12

2.2 Truss-Member Coordinate Systems12

2.3 Truss-Member Coordinate Transformations14

2.4 Truss Supports18

2.5 Solution for Unknown Internal Forces in Statically Determinate Trusses—Equilibrium Equations20

2.6 Solution for Unknown Nodal Displacements for Statically Determinate Structures—Compatibility Equations34

2.7 Beam Member38

2.8Beam Supports43

2.9 Frame Member45

2.10 Frame Supports47

2.11 Frame Example48

2.12 Concluding Remarks58

2.13 Summary—Equilibrium Relationships66

2.14 Summary—Compatibility Relationships66

CHAPTER 3 MEMBER BASIC FORCE-DISPLACEMENT RELATIONSHIPS73

3.1 Introduction73

3.2 Truss-Member Basic Flexibility and Stiffness Relationships74

3.3 Beam-Member Basic Flexibility and Stiffness Relationships76

3.4 Frame-Member Basic Flexibility and Stiffness Relationships78

3.5 Support Basic Force-Displacement Relationships79

3.6 Flexibility and Stiffness Coefficient Symmetry Conditions80

3.7 Obtaining Flexibility and Stiffness Coefficients by Energy Methods81

3.8 Summary—Member Basic Flexibility and Stiffness Relationships87

CHAPTER 4 DISPLACEMENT METHOD89

4.1 Introduction89

4.2 Transformation of the Member Basic Stiffness Relationships to Global Coordinates90

4.3 Assembly and Solution of Structure Stiffness Relationships for Statically Determinate Structures98

4.4 Statically Indeterminate Structures119

4.5 Alternative Forms of the Structure Stiffness Relationships141

4.6 Structural Symmetry173

4.7 Summary—Displacement Method193

CHAPTER 5 DISPLACEMENT METHOD—SPECIAL CONSIDERATIONS203

5.1 Introduction203

5.2 Initially Strained Members203

5.3 Special Members230

5.4 Skewed Supports254

5.5 Summary267

CHAPTER 6 FORCE METHOD275

6.1 Introduction275

6.2 Statically Determinate Structures275

6.3 Statically Indeterminate Structures296

6.4 Summary—Force Method336

CHAPTER 7 SOLUTION OF EQUATIONS341

7.1 Introduction341

7.2 Gaussian Elimination342

7.3 Data Handling Techniques350

7.4 Other Solution Algorithms375

7.5 Errors and Conditioning388

7.6 Summary394

CHAPTER 8 SPACE STRUCTURES AND GRIDWORKS—DISPLACEMENT METHOD398

8.1 Introduction398

8.2 Member Stiffness Relationships398

8.3 Space Truss Example410

8.4 Gridwork Example414

8.5 Space Frame Example420

8.6 Summary431

APPENDIX 1 MATRIX ALGEBRA REVIEW435

A1.1 Introduction435

A1.2 Structural Example435

A1.3 Structural Example—Alternative Coordinate System441

A1.4 Alternate Structural Example444

A1.5 Summary444

APPENDIX 2 SMIS3: AN ADVANCED SYMBOLIC MATRIX INTERPRETIVE SYSTEM446

A2.1 Introduction446

A2.2 Restrictions on Use447

A2.3 Procedures for Use447

A2.4 Operation Code Words448

A2.5 SMIS3 Structural Elements and Stiffness Matrices466

A2.6 Subroutine Documentation472

ANSWERS TO PROBLEMS488

INDEX493