كتاب Engineering Mechanics Statics Third Edition, SI

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Engineering Mechanics
Statics
Third Edition, SI
Contents
Preface to the SI Edition x
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 1534.5 Writing and Solving Equilibrium Equations 155
4.6 Equilibrium Analysis for Single-Body Problems 166
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
vii8.5 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
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