Solution manual for Statics Mechanics of Materials 4th Edition by Russell Hibbeler

Table of Contents

Statics

1 General Principles 3

Chapter Objectives 3

1.1 Mechanics 3

1.2 Fundamental Concepts 4

1.3 Units of Measurement 7

1.4 The International System of Units 9

1.5 Numerical Calculations 10

1.6 General Procedure for Analysis 12

2 Force Vectors 17

Chapter Objectives 17

2.1 Scalars and Vectors 17

2.2 Vector Operations 18

2.3 Vector Addition of Forces 20

2.4 Addition of a System of Coplanar Forces 30

2.5 Cartesian Vectors 38

2.6 Addition of Cartesian Vectors 41

2.7 Position Vectors 50

2.8 Force Vector Directed Along a Line 53

2.9 Dot Product 60

3 Force System Resultants 75

Chapter Objectives 75

3.1 Moment of a Force–Scalar Formulation 75

3.2 Cross Product 79

3.3 Moment of a Force–Vector Formulation 82

3.4 Principle of Moments 86

3.5 Moment of a Force about a Specified Axis 96

3.6 Moment of a Couple 103

3.7 Simplification of a Force and Couple System 112

3.8 Further Simplification of a Force and Couple System 122

4 Equilibrium of a Rigid Body 139

Chapter Objectives 139

4.1 Conditions for Rigid-Body Equilibrium 139

4.2 Free-Body Diagrams 141

4.3 Equations of Equilibrium 151

4.4 Two- and Three-Force Members 157

4.5 Free-Body Diagrams 167

4.6 Equations of Equilibrium 172

4.7 Characteristics of Dry Friction 180

4.8 Problems Involving Dry Friction 184

4.9 Frictional Forces on Flat Belts 197

4.10 Frictional Forces on Screws 200

5 Structural Analysis 215

Chapter Objectives 215

5.1 Simple Trusses 215

5.2 The Method of Joints 218

5.3 Zero-Force Members 224

5.4 The Method of Sections 231

5.5 Frames and Machines 240

6 Center of Gravity, Centroid, and Moment of Inertia 261

Chapter Objectives 261

6.1 Center of Gravity, Center of Mass, and the Centroid of a Body 261

6.2 Composite Bodies 273

6.3 Resultant of a Distributed Loading 281

6.4 Moments of Inertia for Areas 290

6.5 Parallel-Axis Theorem for an Area 291

6.6 Moments of Inertia for Composite Areas 298

7 Stress and Strain 309

Chapter Objectives 309

7.1 Introduction 309

7.2 Internal Resultant Loadings 310

7.3 Stress 322

7.4 Average Normal Stress in an Axially Loaded Bar 324

7.5 Average Shear Stress 331

7.6 Allowable Stress 342

7.7 Design of Simple Connections 343

7.8 Deformation 355

7.9 Strain 356

Mechanics of Materials

8 Mechanical Properties of Materials 373

Chapter Objectives 373

8.1 The Tension and Compression Test 373

8.2 The Stress—Strain Diagram 375

8.3 Stress—Strain Behavior of Ductile and Brittle Materials 379

8.4 Hooke’s Law 382

8.5 Strain Energy 384

8.6 Poisson’s Ratio 392

8.7 The Shear Stress—Strain Diagram 394

9 Axial Load 405

Chapter Objectives 405

9.1 Saint-Venant’s Principle 405

9.2 Elastic Deformation of an Axially Loaded Member 408

9.3 Principle of Superposition 421

9.4 Statically Indeterminate Axially Loaded Member 422

9.5 The Force Method of Analysis for Axially Loaded Members 428

9.6 Thermal Stress 434

9.7 Stress Concentrations 440

10 Torsion 451

Chapter Objectives 451

10.1 Torsional Deformation of a Circular Shaft 451

10.2 The Torsion Formula 454

10.3 Power Transmission 461

10.4 Angle of Twist 468

10.5 Statically Indeterminate Torque-Loaded Members 481

*10.6 Solid Noncircular Shafts 488

10.7 Stress Concentration 492

11 Bending 501

Chapter Objectives 501

11.1 Shear and Moment Diagrams 501

11.2 Graphical Method for Constructing Shear and Moment Diagrams 508

11.3 Bending Deformation of a Straight Member 525

11.4 The Flexure Formula 529

11.5 Unsymmetric Bending 542

11.6 Stress Concentrations 550

12 Transverse Shear 559

Chapter Objectives 559

12.1 Shear in Straight Members 559

12.2 The Shear Formula 561

12.3 Shear Flow in Built-Up Members 578

13 Combined Loadings 591

Chapter Objectives 591

13.1 Thin-Walled Pressure Vessels 591

13.2 State of Stress Caused by Combined

Loadings 598

14 Stress and Strain Transformation 619

Chapter Objectives 619

14.1 Plane-Stress Transformation 619

14.2 General Equations of Plane-Stress

Transformation 624

14.3 Principal Stresses and Maximum In-Plane

Shear Stress 627

14.4 Mohr’s Circle–Plane Stress 639

14.5 Absolute Maximum Shear Stress 650

14.6 Plane Strain 657

14.7 General Equations of Plane-Strain Transformation 658

*14.8 Mohr’s Circle–Plane Strain 666

14.9 Strain Rosettes 674

14.10 Material-Property Relationships 676

15 Design of Beams and Shafts 693

Chapter Objectives 693

15.1 Basis for Beam Design 693

15.2 Prismatic Beam Design 696

*15.3 Fully Stressed Beams 710

16 Deflection of Beams and Shafts 717

Chapter Objectives 717

16.1 The Elastic Curve 717

16.2 Slope and Displacement by Integration 721

*16.3 Discontinuity Functions 735

16.4 Method of Superposition 745

16.5 Statically Indeterminate Beams and Shafts—Method of Superposition 752

17 Buckling of Columns 769

Chapter Objectives 769

17.1 Critical Load 769

17.2 Ideal Column with Pin Supports 772

17.3 Columns Having Various Types of Supports 778

*17.4 The Secant Formula 788

*17.5 Inelastic Buckling 794

Appendices

A. Mathematical Review and Expressions 804

B. Geometric Properties of An Area and Volume 808

C. Geometric Properties of Wide-Flange Sections 810

D. Slopes and Deflections of Beams 814

Fundamental Problems Partial Solutions and Answers 816

Answers to Selected Problems 844

Index 871

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