Engineering Mechanics: Statics: Statics Book

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	16
1.5	Vector Multiplication	25
Chapter 2	Basic Operations with Force Systems	33
2.1	Introduction	33
2.2	Equivalence of Vectors	33
2.3	Force	34
2.4	Reduction of Concurrent Force Systems	35
2.5	Moment of a Force about a Point	44
2.6	Moment of a Force about an Axis	54
2.7	Couples	66
2.8	Changing the Line of Action of a Force	78
Chapter 3	Resultants of Force Systems	87
3.1	Introduction	87
3.2	Reduction of a Force System to a Force and a Couple	87
3.3	Definition of Resultant	95
3.4	Resultants of Coplanar Force Systems	96
3.5	Resultants of Noncoplanar Force Systems	104
3.6	Introduction to Distributed Normal Loads	115
Chapter 4	Coplanar Equilibrium Analysis	129
4.1	Introduction	129
4.2	Definition of Equilibrium	129
Part A	Analysis of Single Bodies	130
4.3	Free-Body Diagram of a Body	130
4.4	Coplanar Equilibrium Equations	138
4.5	Writing and Solving Equilibrium Equations	140
4.6	Equilbrium Analysis for Single-Body Problems	148
Part B	Analysis of Composite Bodies	159
4.7	Free-Body Diagrams Involving Internal Reactions	159
4.8	Equilibrium Analysis of Composite Bodies	170
4.9	Special Cases: Two-Force and Three-Force Bodies	178
Part C	Analysis of Plane Trusses	189
4.10	Description of a Truss	189
4.11	Method of Joints	190
4.12	Method of Sections	197
Chapter 5	Noncoplanar Equilibrium	209
5.1	Introduction	209
5.2	Definition of Equilibrium	209
5.3	Free-Body Diagrams	209
5.4	Independent Equilibrium Equations	220
5.5	Improper Constraints	223
5.6	Writing and Solving Equilibrium Equations	224
5.7	Equilibrium Analysis	232
Chapter 6	Beams and Cables	247
6.1	Introduction	247
Part A	Beams	247
6.2	Internal Force Systems	247
6.3	Analysis of Internal Forces	255
6.4	Area Method for Drawing V- and M-Diagrams	268
Part B	Cables	282
6.5	Cables under Distributed Loads	282
6.6	Cables under Concentrated Loads	293
Chapter 7	Dry Friction	303
7.1	Introduction	303
7.2	Coulomb's Theory of Dry Friction	303
7.3	Problem Classification and Analysis	306
7.4	Impending Tipping	322
7.5	Angle of Friction; Wedges and Screws	329
7.6	Ropes and Flat Belts	337
7.7	Disk Friction	344
Chapter 8	Centroids and Distributed Loads	353
8.1	Introduction	353
8.2	Centroids of Plane Areas and Curves	353
8.3	Centroids of Curved Surfaces, Volumes, and Space Curves	370
8.4	Theorems of Pappus-Guldinus	388
8.5	Center of Gravity and Center of Mass	393
8.6	Distributed Normal Loads	401
Chapter 9	Moments and Products of Inertia of Areas	419
9.1	Introduction	419
9.2	Moments of Inertia of Areas and Polar Moments of Inertia	419
9.3	Products of Inertia of Areas	436
9.4	Transformation Equations and Principal Moments of Inertia of Areas	442
9.5	Mohr's Circle for Moments and Products of Inertia	450
Chapter 10	Virtual Work and Potential Energy	461
10.1	Introduction	461
10.2	Planar Kinematics of a Rigid Body	461
10.3	Virtual Work	464
10.4	Method of Virtual Work	466
10.5	Instant Center of Rotation	480
10.6	Equilibrium and Stability of Conservative Systems	487
Appendix A	Numerical Integration	499
A.1	Introduction	499
A.2	Trapezoidal Rule	499
A.3	Simpson's Rule	500
Appendix B	Finding Roots of Functions	503
B.1	Introduction	503
B.2	Newton's Method	503
B.3	Secant Method	504
Appendix C	Densities of Common Materials	507
	Answers to Even-Numbered Problems	509
	Index	515