Book Fundamentals of Structural Analysis By S. T. Mau

Contents of book Fundamentals of Structural Analysis By S. T. Mau

Preface v

**Truss Analysis: Matrix Displacement Method 1**

1. What is a Truss? 1

2. A Truss Member 3

3. Member Stiffness Equation in Global Coordinates 4

Problem 1. 11

4. Unconstrained Global Stiffness Equation 11

5. Constrained Global Stiffness Equation and Its Solution 17

Problem 2. 19

6. Procedures of Truss Analysis 20

Problem 3. 27

7. Kinematic Stability 27

Problem 4. 29

8. Summary 30

**Truss Analysis: Force Method, Part I 31**

1. Introduction 31

2. Statically Determinate Plane Truss types 31

3. Method of Joint and Method of Section 33

Problem 1. 43

Problem 2. 55

4. Matrix Method of Joint 56

Problem 3. 61

Problem 4. 66

**Truss Analysis: Force Method, Part II 67**

5. Truss Deflection 67

Problem 5. 81

6. Indeterminate Truss Problems – Method of Consistent Deformations 82

7. Laws of Reciprocity 89

8. Concluding Remarks 90

Problem 6. 91

**Beam and Frame Analysis: Force Method, Part I 93**

1. What are Beams and Frames? 93

2. Statical Determinacy and Kinematic Stability 94

Problem 1. 101

3. Shear and Moment Diagrams 102

4. Statically Determinate Beams and Frames 109

Problem 2. 118

**Beam and Frame Analysis: Force Method, Part II 121**

5. Deflection of Beam and Frames 121

Problem 3. 132

Problem 4. 143

Problem 5. 152

**Beam and Frame Analysis: Force Method, Part III 153**

6. Statically Indeterminate Beams and Frames 153

Table: Beam Deflection Formulas 168

Problem 6. 173

**Beam and Frame Analysis: Displacement Method, Part I 175**

1. Introduction 175

2. Moment Distribution Method 175

Problem 1. 207

Table: Fixed End Moments 208

**Beam and Frame Analysis: Displacement Method, Part II 209**

3. Slope-Deflection Method 209

Problem 2. 232

4. Matrix Stiffness Analysis of Frames 233

Problem 3. 248

**Influence Lines 249**

1. What is Influence Line? 249

2. Beam Influence Lines 250

Problem 1. 262

3. Truss Influence Lines 263

Problem 2. 271

**Other Topics 273**

1. Introduction 273

2. Non-Prismatic Beam and Frames Members 273

Problem 1. 277

3. Support Movement, Temperature, and Construction Error Effects 278

Problem 2. 283

4. Secondary Stresses in Trusses 283

5. Composite Structures 285

6. Materials Non-linearity 287

7. Geometric Non-linearity 288

8. Structural Stability 290

9. Dynamic Effects 294

**Matrix Algebra Review 299**

1. What is a Matrix? 299

2. Matrix Operating Rules 300

3. Matrix Inversion and Solving Simultaneous Algebraic Equations 302

Problem 307

**Solution to Problems 309**

**Index 323**

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