دانلود استاتیک مهندسی مکانیک . ویرایش 3. کیوسالاس

[roozbeh ameri 8439]

استاتیک مهندسی مکانیک ویرایش 3. کیوسالاس

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Preface xi

Chapter 1 Introduction to Statics 1

1.1 Introduction 1

1.2 Newtonian Mechanics 3

1.3 Fundamental Properties of Vectors 10

1.4 Representation of Vectors Using Rectangular

Components 18

1.5 Vector Multiplication 27

Chapter 2 Basic Operations with Force Systems 37

2.1 Introduction 37

2.2 Equivalence of Vectors 37

2.3 Force 38

2.4 Reduction of Concurrent Force Systems 39

2.5 Moment of a Force about a Point 49

2.6 Moment of a Force about an Axis 60

2.7 Couples 73

2.8 Changing the Line of Action of a Force 86

Chapter 3 Resultants of Force Systems 97

3.1 Introduction 97

3.2 Reduction of a Force System to a Force and a Couple 97

3.3 Definition of Resultant 105

3.4 Resultants of Coplanar Force Systems 106

3.5 Resultants of Three-Dimensional Systems 116

3.6 Introduction to Distributed Normal Loads 128

Chapter 4 Coplanar Equilibrium Analysis 143

4.1 Introduction 143

4.2 Definition of Equilibrium 144

Part A: Analysis of Single Bodies 144

4.3 Free-Body Diagram of a Body 144

4.4 Coplanar Equilibrium Equations 153

4.5 Writing and Solving Equilibrium Equations 155

4.6 Equilibrium Analysis for Single-Body Problems 166

vii

Part B: Analysis of Composite Bodies 179

4.7 Free-Body Diagrams Involving Internal Reactions 179

4.8 Equilibrium Analysis of Composite Bodies 190

4.9 Special Cases: Two-Force and Three-Force Bodies 200

Part C: Analysis of Plane Trusses 214

4.10 Description of a Truss 214

4.11 Method of Joints 215

4.12 Method of Sections 224

Chapter 5 Three-Dimensional Equilibrium 237

5.1 Introduction 237

5.2 Definition of Equilibrium 238

5.3 Free-Body Diagrams 238

5.4 Independent Equilibrium Equations 249

5.5 Improper Constraints 252

5.6 Writing and Solving Equilibrium Equations 253

5.7 Equilibrium Analysis 263

Chapter 6 Beams and Cables 281

*6.1 Introduction 281

Part A: Beams 282

*6.2 Internal Force Systems 282

*6.3 Analysis of Internal Forces 291

*6.4 Area Method for Drawing V- and M-Diagrams 303

Part B: Cables 318

*6.5 Cables under Distributed Loads 318

*6.6 Cables under Concentrated Loads 330

Chapter 7 Dry Friction 341

7.1 Introduction 341

7.2 Coulomb’s Theory of Dry Friction 342

7.3 Problem Classification and Analysis 345

7.4 Impending Tipping 361

7.5 Angle of Friction; Wedges and Screws 369

*7.6 Ropes and Flat Belts 379

*7.7 Disk Friction 386

*7.8 Rolling Resistance 391

Chapter 8 Centroids and Distributed Loads 401

8.1 Introduction 401

8.2 Centroids of Plane Areas and Curves 401

8.3 Centroids of Curved Surfaces, Volumes, and Space

Curves 419

8.4 Theorems of Pappus-Guldinus 438

8.5 Center of Gravity and Center of Mass 442

8.6 Distributed Normal Loads 450

Chapter 9 Moments and Products of Inertia of Areas 471

9.1 Introduction 471

9.2 Moments of Inertia of Areas and Polar Moments of

Inertia 472

9.3 Products of Inertia of Areas 492

9.4 Transformation Equations and Principal Moments of

Inertia of Areas 500

*9.5 Mohr’s Circle for Moments and Products of Inertia 508

Chapter 10 Virtual Work and Potential Energy 523

*10.1 Introduction 523

*10.2 Virtual Displacements 524

*10.3 Virtual Work 525

*10.4 Method of Virtual Work 528

*10.5 Instant Center of Rotation 539

*10.6 Equilibrium and Stability of Conservative Systems 548

Appendix A Numerical Integration 559

A.1 Introduction 559

A.2 Trapezoidal Rule 560

A.3 Simpson’s Rule 560

Appendix B Finding Roots of Functions 563

B.1 Introduction 563

B.2 Newton’s Method 563

B.3 Secant Method 564

Appendix C Densities of Common Materials 567

Answers to Even-Numbered Problems 569

Index 576