Statics study pack for engineering mechanics (12nd ed )

Contents

Part I Section-by-Section, Chapter-by-Chapter Summaries

with Review Questions and Answers 1

1 General Principles 3

Main Goals of this Chapter 3

1.1 Mechanics 3

1.2 Fundamental Concepts 3

1.3 Units of Measurement 4

1.4 The International System of Units 6

1.5 Numerical Calculations 6

1.6 General Procedure for Analysis 6

Helpful Tips and Suggestions 7

Review Questions 7

2 Force Vectors 8

Main Goals of this Chapter 8

2.1 Scalars and Vectors 8

2.2 Vector Operations 8

2.3 Vector Addition of Forces 10

2.4 Addition of a System of Coplanar Forces 10

2.5 Cartesian Vectors 11

2.6 Addition and Subtraction of Cartesian Vectors 12

2.7 Position Vectors 12

2.8 Force Vector Directed Along a Line 13

2.9 Dot Product 13

Helpful Tips and Suggestions 13

Review Questions 14

3 Equilibrium of a Particle 15

Main Goals of this Chapter 15

3.1 Condition for the Equilibrium of a Particle 15

3.2 The Free-Body Diagram 15

3.3 Coplanar Force Systems 16

3.4 Three-Dimensional Force Systems 16

Helpful Tips and Suggestions 17

Review Questions 17

4 Force System Resultants 18

Main Goals of this Chapter 18

4.1 Moment of a Force-Scalar Formulation 18

4.2 Cross Product 19

4.3 Moment of a Force-Vector Formulation 20

4.4 Principle of Moments 21

4.5 Moment of a Force About a Specified Axis 21

4.6 Moment of a Couple 22

4.7 Simplification of a Force and Couple System 22

4.8 Further Simplification of a Force and Couple System 24

4.9 Reduction of a Simple Distributed Loading 24

Helpful Tips and Suggestions 24

Review Questions 24

5 Equilibrium of a Rigid Body 26

Main Goals of this Chapter 26

5.1 Conditions for Rigid-Body Equilibrium 26

5.2 Free-Body Diagrams 26

5.3 Equations of Equilibrium 27

5.4 Two- and Three- Force Members 28

5.5 Free-Body Diagrams 28

5.6 Equations of Equilibrium 29

5.7 Constraints and Statical Determinacy 29

Helpful Tips and Suggestions 29

Review Questions 30

6 Structural Analysis 31

Main Goals of this Chapter 31

6.1 Simple Trusses 31

6.2 The Method of Joints 32

6.3 Zero Force Members 32

6.4 The Method of Sections 32

6.5 Space Trusses 33

6.6 Frames and Machines 34

Helpful Tips and Suggestions 34

Review Questions 35

7 Internal Forces 36

Main Goals of this Chapter 36

7.1 Internal Forces Developed in Structural Members 36

7.2 Shear and Moment Equations and Diagrams 37

7.3 Relations Between Distributed Load, Shear and Moment 39

7.4 Cables 39

Helpful Tips and Suggestions 40

Review Questions 41

8 Friction 42

Main Goals of this Chapter 42

8.1 Characteristics of Dry Friction 42

8.2 Problems Involving Dry Friction 43