Engineering Mechanics

1. BASIC CONCEPTS ......................................................................... 1
1-1 Historical Background.
1-2 Introduction.
1-3 Scalar and Vector Quantities.
1-4 Forces.
1-5 Composition and Resolution of Forces.
1-6 Moment of a Force.
1-7 Principle of Moments of Forces.
1-8 Couples.
1-9 Transformation of a Couple.
1-10 Resolution of a Force into a Force and a Couple.
1-11 Dimensional Equations.
1-12 Numerical Calculations.

2. RESULTANTS OF FORCE SYSTEMS ........................................................... 30
2-1 Introduction.
2-2 Resultant of a Collinear Force System.
2-3 Resultant of a Concurrent, Coplanar Force System.
2-4 Resultant of a Parallel, Coplanar Force System.
2-5 Resultant of a Nonconcurrent, Nonparallel, Coplanar Force System.
2-6 Resultant of a Concurrent, Noncoplanar Force System.
2-7 Resultant of a Parallel, Noncoplanar Force System.
2-8 Resultant of a System of Couples in Space.
2-9 Resultant of a Nonconcurrent, Nonparallel, Noncoplanar Force System.
2-10 Closure.

3. CENTROIDS AND CENTERS OF GRAVITY . . . . 56
3-1 Introduction.
3-2 The Center of Gravity of a System of Particles.
3-3 The Center of Gravity of a Body.
3-4 Centroids.
3-5 Centroids and Centers of Gravity by Integration.
3-6 Centroids and Centers of Gravity by Composite Parts.
3-7 Theorems or Propositions of Pappus.
3-8 Center of Pressure.

4. EQUILIBRIUM ........................................................................... 83
4-1 Equilibrium.
4-2 Free-Body Diagrams.
4-3 Equations of Equilibrium for a Concurrent, Coplanar Force System.
4-4 General Procedure for the Solution of Problems in Equilibrium.
4-5 Graphical Solution of a Concurrent, Coplanar Force System in Equilibrium.
4-6 Equilibrium of a Parallel, Coplanar Force System.
4-7 Graphical Solution of a Parallel, Coplanar Force System in Equilibrium.
4-8 Equilibrium of a Nornconcurrent, Nonparallel, Coplanar Force System.
4-9 Graphical Solution of a Nonconcurrent, Nonparallel, Coplanar Force System in Equilibrium.
4-10 Trusses.
4-11 Stress Analysis of Trusses — Algebraic.
4-12 Stress Analysis of Trusses — Graphic.
4-13 Flexible Cables.
4-14 Parabolic Cables. 4-15 Catenary Cables.
4-16 Equilibrium of a Concurrent, Noncoplanar Force System.
4-17 Equilibrium of a Parallel, Noncoplanar Force System.
4-18 Equilibrium of a Nonconcurrent, Nonparallel, Noncoplanar Force System.
4-19 Closure.

5. FRICTION ............................................................................. 156
5-1 Nature of Friction.
5-2 Coefficient of Friction.
5-3 Angle of Friction.
5-4 Types of Problems involving Frictional Forces.
5-5 Flexible Band or Belt Friction. 5-6 Square-Threaded Screws.
5-7 Frictional Moments on Thrust Bearings and Disk Clutches.
5-8 Rolling Resistance.
5-9 Laws of Friction.

6. SECOND MOMENT OR MOMENTS OF INERTIA .................................................. 191
6-1 Introduction.
6-2 Definitions.
6-3 The Parallel-Axis Theorem for Areas.
6-4 Second Moments of Areas by Integration.
6-5 Radius of Gyration of Areas.
6-6 Moments of Inertia of Composite Areas.
6-7 Products of Inertia of Areas.
6-8 Maximum and Minimum Second Moments of Areas.
6-9 Definitions.
6-10 Parallel-Axis and Parallel-Plane Theorems for Masses.
6-11 Moments of Inertia of Masses by Integration.
6-12 Radius of Gyration of Mass.
6-13 Moments of Inertia of Composite Masses.

7. KINEMATICS— ABSOLUTE MOTION .......................................................... 228
7-1 Introduction.
7-2 Rectilinear Motion of a Particle.
7-3 Angular Motion of a Line.
7-4 Position of a Particle with Curvilinear Motion.
7-5 Velocity of a Particle with Curvilinear Motion.
7-6 Acceleration of a Particle with Curvilinear Motion.
7-7 Motion of Projectiles.
7-8 Simple Harmonic Motion.
7-9 Motion of Rigid Bodies.
7-10 Closure.

8. KINEMATICS— RELATIVE MOTION .......................................................... 278
8-1 Introduction and Definitions.
8-2 Relative Displacement.
8-3 Relative Velocity.
8-4 Instantaneous Centers.
8-5 Relative Acceleration.
8-6 Acceleration with Respect to Rotating Axes.
8-7 Closure.

9. KINETICS — FORCE, MASS, AND ACCELERATION ............................................. 318
9-1 Introduction.
9-2 Newton’s Laws of Motion.
9-3 Equations of Motion for a Particle.
9-4 Motion of the Mass Center of a System of Particles.
9-5 Procedure for the Solution of Problems in Kinetics.
9-6 Translation of a Rigid Body.
9-7 Rotation of a Rigid Body.
9-8 Plane Motion of a Rigid Body.
9-9 Reversed Effective Forces and Couples.
9-10 Closure.

10. KINETICS — WORK AND ENERGY .......................................................... 380
10-1 Introduction.
10-2 Work Done by a Force.
10-3 Work Done by a Couple.
10-4 Work Done by a Force System.
10-5 Energy.
10-6 Potential Energy.
10-7 Kinetic Energy of a Particle.
10-8 Kinetic Energy of a Rigid Body.
10-9 Principle of Work and Kinetic Energy.
10-10 Conservation of Energy.
10-11 Power and Efficiency .
10-12 Dissipation of Mechanical Energy.
10-13 Closure.

11. KINETICS— IMPULSE AND MOMENTUM . . . . 418
11-1 Introduction.
11-2 Linear Impulse.
11-3 Linear Momentum.
11-4 Principle of Linear Impulse and Linear Momentum.
11-5 Conservation of Linear Momentum.
11-6 Elastic Impact.
11-7 Angular Impulse.
11-8 Angular Momentum.
11-9 Principle of Angular Impulse and Angular Momentum.
11-10 Gyroscopes.
11-11 Conservation of Angular Momentum.
11-12 Closure.

12. MECHANICAL VIBRATIONS ............................................................... 466
12-1 Introduction.
12-2 Free Undamped Vibrations of a Particle.
12-3 Free Undamped Vibrations of Rigid Bodies.
12-4 Free Undamped Torsional Vibrations.
12-5 Forced Vibrations without Damping.
12-6 Damping and Vibration Reduction.


ANSWERS TO EVEN-NUMBERED PROBLEMS ....................................................... 493
INDEX ................................................................................... 503