# Statics Study Pack for Engineering Mechanics : Statics

**by**Hibbeler, Russell C.

### 9780136091837

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## Summary

## Table of Contents

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**

8.3 Wedges **43**

8.4 Frictional Forces on Screws **44**

8.5 Frictional Forces on Flat Belts **45**

8.6 Frictional Forces on Collar Bearings, Pivot Bearings, and Disks **46**

8.7 Frictional Forces on Journal Bearings **47**

8.8 Rolling Resistance **47**

Helpful Tips and Suggestions **48**

Review Questions **48**

** **

9 **Center of Gravity and Centroid 49**

Main Goals of this Chapter **49**

9.1 Center of Gravity, Center of Mass and the Centroid of a Body **49**

9.2 Composite Bodies **50**

9.3 Theorems of Papus and Guldinus **51**

9.4 Resultant of a General Distributed Loading **51**

9.5 Fluid Pressure **52**

Helpful Tips and Suggestions **53**

Review Questions **53**

10 **Moments of Inertia 54**

Main Goals of this Chapter **54**

10.1 Definition of Moments of Inertia for Areas **54**

10.2 Parallel Axis Theorem for an Area **55**

10.3 Radius of Gyration of an Area **55**

10.4 Moments of Inertia for Composite Areas **56**

10.5 Product of Inertia for an Area **56**

10.6 Moments of Inertia for an Area About Inclined Axes **57**

10.7 Mohr’s Circle for Moments of Inertia **58**

10.8 Mass Moment of Inertia **59**

Helpful Tips and Suggestions **60**

Review Questions **60**

** **

11 **Virtual Work 61**

Main Goals of this Chapter **61**

11.1 Definition of Work and Virtual Work **61**

11.2 Principle of VirtualWork for a Particle and a Rigid Body **62**

11.3 Principle of VirtualWork for a System of Connected Rigid Bodies **62**

11.4 Conservative Forces **64**

11.5 Potential Energy **64**

11.6 Potential Energy Criterion for Equilibrium **64**

11.7 Stability of Equilibrium **65**

Procedure for Solving Problems **66**

Review Questions **66**

**ANSWERS TO REVIEW QUESTIONS 67**

** **

**Part II ** **Free-Body Diagram Workbook 71**

1 **Basic Concepts in Statics 73**

1.1 Equilibrium **73**

2 **Free-Body Diagrams: the Basics 75**

2.1 Free-Body Diagram: Particle **75**

2.2 Free-Body Diagram: Rigid Body **78**

3 **Problems 83**

3.1 Free-Body Diagrams in Particle Equilibrium **85**

3.2 Free-Body Diagrams in the Equilibrium of a Rigid Body **115**