**Mechanics of Materials in SI Units, 10th Edition**

by R. C. Hibbeler

**CONTENTS**

Stress 21

Chapter Objectives 21

1.1 Introduction 21

1.2 Equilibrium of a Deformable Body 22

1.3 Stress 40

1.4 Average Normal Stress in an Axially Loaded Bar 42

1.5 Average Shear Stress 50

1.6 Allowable Stress Design 64

1.7 Limit State Design 66

1

Strain 87

Chapter Objectives 87

2.1 Deformation 87

2.2 Strain 88

2

Mechanical Properties of Materials 103

Chapter Objectives 103

3.1 The Tension and Compression Test 103

3.2 The Stress–Strain Diagram 105

3.3 Stress–Strain Behavior of Ductile and Brittle Materials 109

3.4 Strain Energy 113

3.5 Poisson’s Ratio 124

3.6 The Shear Stress–Strain Diagram 126

*3.7 Failure of Materials Due to Creep and Fatigue 129

4

Axial Load 141

Chapter Objectives 141

4.1 Saint-Venant’s Principle 141

4.2 Elastic Deformation of an Axially Loaded

Member 143

4.3 Principle of Superposition 158

4.4 Statically Indeterminate Axially Loaded

Members 158

4.5 The Force Method of Analysis for Axially Loaded Members 165

4.6 Thermal Stress 173

4.7 Stress Concentrations 180

*4.8 Inelastic Axial Deformation 183

*4.9 Residual Stress 185

5

Torsion 201

Chapter Objectives 201

5.1 Torsional Deformation of a Circular Shaft 201

5.2 The Torsion Formula 204

5.3 Power Transmission 212

5.4 Angle of Twist 224

5.5 Statically Indeterminate Torque-Loaded Members 240

*5.6 Solid Noncircular Shafts 247

*5.7 Thin-Walled Tubes Having Closed Cross Sections 250

5.8 Stress Concentration 260

*5.9 Inelastic Torsion 263

*5.10 Residual Stress 265

6

Bending 281

Chapter Objectives 281

6.1 Shear and Moment Diagrams 281

6.2 Graphical Method for Constructing Shear and Moment Diagrams 288

6.3 Bending Deformation of a Straight Member 307

6.4 The Flexure Formula 311

6.5 Unsymmetric Bending 328

*6.6 Composite Beams 338

*6.7 **Reinforced Concrete** Beams 341

*6.8 Curved Beams 345

6.9 Stress Concentrations 352

*6.10 Inelastic Bending 362

7 Transverse Shear 385

Chapter Objectives 385

7.1 Shear in Straight Members 385

7.2 The Shear Formula 386

7.3 Shear Flow in Built-Up Members 404

7.4 Shear Flow in Thin-Walled Members 413

*7.5 Shear Center for Open Thin-Walled

Members 418

8 Combined Loadings 431

Chapter Objectives 431

8.1 Thin-Walled Pressure Vessels 431

8.2 State of Stress Caused by Combined Loadings 438

9 Stress Transformation 463

Chapter Objectives 463

9.1 Plane-Stress Transformation 463

9.2 General Equations of Plane-Stress

Transformation 468

9.3 Principal Stresses and Maximum In-Plane

Shear Stress 471

9.4 Mohr’s Circle—Plane Stress 487

9.5 Absolute Maximum Shear Stress 499

10

Strain Transformation 511

Chapter Objectives 511

10.1 Plane Strain 511

10.2 General Equations of Plane-Strain

Transformation 512

*10.3 Mohr’s Circle—Plane Strain 520

*10.4 Absolute Maximum Shear Strain 528

10.5 Strain Rosettes 530

10.6 Material Property Relationships 534

*10.7 Theories of Failure 546

11

Design of Beams and

Shafts 563

Chapter Objectives 563

11.1 Basis for Beam Design 563

11.2 Prismatic Beam Design 566

*11.3 Fully Stressed Beams 580

*11.4 Shaft Design 584

12 Deflection of Beams and Shafts 595

Chapter Objectives 595

12.1 The Elastic Curve 595

12.2 Slope and Displacement by

Integration 599

*12.3 Discontinuity Functions 617

*12.4 Slope and Displacement by the

Moment-Area Method 629

12.5 Method of Superposition 644

12.6 Statically Indeterminate Beams

and Shafts 652

12.7 Statically Indeterminate Beams and

Shafts—Method of Integration 653

*12.8 Statically Indeterminate Beams and

Shafts—Moment-Area Method 658

12.9 Statically Indeterminate Beams and

Shafts—Method of Superposition 664

13 Buckling of Columns 683

Chapter Objectives 683

13.1 Critical Load 683

13.2 Ideal Column with Pin Supports 686

13.3 Columns Having Various Types of Supports 692

*13.4 The Secant Formula 704

*13.5 Inelastic Buckling 710

*13.6 Design of Columns for Concentric Loading 718

*13.7 Design of Columns for Eccentric Loading 728

14 Energy Methods 741

Chapter Objectives 741

14.1 External Work and Strain Energy 741

14.2 Elastic **Strain Energy** for Various Types

of Loading 746

14.3 Conservation of Energy 759

14.4 Impact Loading 766

*14.5 Principle of Virtual Work 777

*14.6 Method of Virtual Forces Applied to Trusses 780

*14.7 Method of Virtual Forces Applied to Beams 788

*14.8 Castigliano’s Theorem 797

*14.9 Castigliano’s Theorem Applied to Trusses 799

*14.10 Castigliano’s Theorem Applied to Beams 802

Appendix

A Geometric Properties of an Area 810

B Geometric Properties of Structural

Shapes 824

C Slopes and Deflections of Beams 829

Solutions and Answers for

Preliminary Problems 831

Fundamental Problems Partial

Solutions and Answers 841

Selected Answers 863

Index 883

**Solution Manual**

**Mechanics of Materials in SI Units, 10th Edition PDF by R. C. Hibbeler
(Available)**