## Description

**Mechanics of Materials: An Integrated Learning System 4th Edition by Timothy A. Philpot, ISBN-13: 978-1119320883**

[PDF eBook eTextbook]

876 PAGES

Publisher: Wiley; 4th Edition (October 24, 2016)

Language: English

ISBN-13: 978-1119320883

By emphasizing the three key concepts of mechanics of solids, this new edition helps engineers improve their problem-solving skills. They’ll discover how these fundamental concepts underlie all of the applications presented, and they’ll learn how to identify the equations needed to solve various problems. New discussions are included on literature reviews, focusing on the literature review found in proposals and research articles. Groupware communication tools including blogs, wikis and meeting applications are covered. More information is also presented on transmittal letters and PowerPoint style presentations. And with the addition of detailed example problems, engineers will learn how to organize their solutions.

**Table of contents:**

Chapter 1 Stress 1

1.1 Introduction 1

1.2 Normal Stress Under Axial Loading 2

1.3 Direct Shear Stress 7

1.4 Bearing Stress 12

1.5 Stresses on Inclined Sections 22

1.6 Equality of Shear Stresses

on Perpendicular Planes 24

Chapter 2 Strain 29

2.1 Displacement, Deformation,

and the Concept of Strain 29

2.2 Normal Strain 30

2.3 Shear Strain 37

2.4 Thermal Strain 41

Chapter 3 Mechanical Properties

of Materials 45

3.1 The Tension Test 45

3.2 The Stress–Strain Diagram 48

3.3 Hooke’s Law 56

3.4 Poisson’s ratio 56

Chapter 4 Design Concepts 65

4.1 Introduction 65

4.2 Types of Loads 66

4.3 Safety 67

4.4 Allowable Stress Design 68

4.5 Load and resistance Factor Design 77

Chapter 5 Axial Deformation 83

5.1 Introduction 83

5.2 Saint-Venant’s Principle 84

5.3 Deformations in Axially Loaded Bars 86

5.4 Deformations in a System of Axially

Loaded Bars 95

5.5 Statically Indeterminate Axially

Loaded Members 103

5.6 Thermal Effects on Axial Deformation 119

5.7 Stress Concentrations 129

Chapter 6 Torsion 135

6.1 Introduction 135

6.2 Torsional Shear Strain 137

6.3 Torsional Shear Stress 138

6.4 Stresses on Oblique Planes 140

6.5 Torsional Deformations 142

6.6 Torsion Sign Conventions 143

6.7 Gears in Torsion Assemblies 154

6.8 Power Transmission 161

6.9 Statically Indeterminate Torsion

Members 166

6.10 Stress Concentrations in Circular Shafts

Under Torsional Loadings 183

6.11 Torsion of Noncircular Sections 186

6.12 Torsion of Thin-Walled Tubes:

Shear Flow 189

Chapter 7 Equilibrium of Beams 193

7.1 Introduction 193

7.2 Shear and Moment in Beams 195

7.3 Graphical Method for Constructing Shear

and Moment Diagrams 205

7.4 Discontinuity Functions to represent

Load, Shear, and Moment 224

Chapter 8 Bending 237

8.1 Introduction 237

8.2 Flexural Strains 239

xvii

8.3 Normal Stresses in Beams 240

8.4 Analysis of Bending Stresses

in Beams 254

8.5 Introductory Beam Design for

Strength 265

8.6 Flexural Stresses in Beams of

Two Materials 270

8.7 Bending Due to an Eccentric Axial

Load 282

8.8 Unsymmetric Bending 292

8.9 Stress Concentrations Under

Flexural Loadings 302

8.10 Bending of Curved Bars 306

Chapter 9 Shear Stress In Beams 319

9.1 Introduction 319

9.2 resultant Forces Produced by

Bending Stresses 319

9.3 The Shear Stress Formula 325

9.4 The First Moment of Area, Q 329

9.5 Shear Stresses in Beams of rectangular

Cross Section 331

9.6 Shear Stresses in Beams of Circular

Cross Section 338

9.7 Shear Stresses in Webs of

Flanged Beams 338

9.8 Shear Flow in Built-Up Members 346

9.9 Shear Stress and Shear Flow in

Thin-Walled Members 356

9.10 Shear Centers of Thin-Walled

Open Sections 373

Chapter 10 Beam Deflections 391

10.1 Introduction 391

10.2 Moment–Curvature relationship 392

10.3 The Differential Equation of the

Elastic Curve 392

10.4 Determining Deflections by Integration

of a Moment Equation 396

10.5 Determining Deflections by Integration

of Shear-Force or Load Equations 410

10.6 Determining Deflections by Using

Discontinuity Functions 413

10.7 Determining Deflections by the

Method of Superposition 423

Chapter 11 Statically Indeterminate

Beams 445

11.1 Introduction 445

11.2 Types of Statically Indeterminate

Beams 445

11.3 The Integration Method 447

11.4 Use of Discontinuity Functions for Statically

Indeterminate Beams 454

11.5 The Superposition Method 461

Chapter 12 Stress Transformations 479

12.1 Introduction 479

12.2 Stress at a General Point in an Arbitrarily

Loaded Body 480

12.3 Equilibrium of the Stress Element 482

12.4 Plane Stress 483

12.5 Generating the Stress Element 483

12.6 Equilibrium Method for Plane Stress

Transformations 488

12.7 General Equations of Plane Stress

Transformation 491

12.8 Principal Stresses and Maximum Shear

Stress 499

12.9 Presentation of Stress Transformation

results 506

12.10 Mohr’s Circle for Plane Stress 513

12.11 General State of Stress at a Point 532

Chapter 13 Strain Transformations 540

13.1 Introduction 540

13.2 Plane Strain 541

13.3 Transformation Equations for Plane

Strain 542

13.4 Principal Strains and Maximum

Shearing Strain 547

13.5 Presentation of Strain Transformation

results 548

13.6 Mohr’s Circle for Plane Strain 552

13.7 Strain Measurement and

Strain rosettes 555

13.8 Generalized Hooke’s Law

for Isotropic Materials 560

13.9 Generalized Hooke’s Law

for Orthotropic Materials 576

xviii

Chapter 14 Pressure Vessels 585

14.1 Introduction 585

14.2 Thin-Walled Spherical Pressure Vessels 586

14.3 Thin-Walled Cylindrical Pressure

Vessels 588

14.4 Strains in Thin-Walled Pressure

Vessels 591

14.5 Stresses in Thick-Walled Cylinders 598

14.6 Deformations in Thick-Walled

Cylinders 606

14.7 Interference Fits 609

Chapter 15 Combined Loads 616

15.1 Introduction 616

15.2 Combined Axial and Torsional Loads 616

15.3 Principal Stresses in a

Flexural Member 621

15.4 General Combined Loadings 634

15.5 Theories of Failure 656

Chapter 16 Columns 667

16.1 Introduction 667

16.2 Buckling of Pin-Ended Columns 670

16.3 The Effect of End Conditions

on Column Buckling 680

16.4 The Secant Formula 690

16.5 Empirical Column Formulas—

Centric Loading 696

16.6 Eccentrically Loaded Columns 707

Chapter 17 Energy Methods 715

17.1 Introduction 715

17.2 Work and Strain Energy 716

17.3 Elastic Strain Energy for

Axial Deformation 720

17.4 Elastic Strain Energy for Torsional

Deformation 722

17.5 Elastic Strain Energy for

Flexural Deformation 724

17.6 Impact Loading 728

17.7 Work–Energy Method for Single

Loads 746

17.8 Method of Virtual Work 750

17.9 Deflections of Trusses by the Virtual-Work

Method 755

17.10 Deflections of Beams by the Virtual-Work

Method 762

17.11 Castigliano’s Second Theorem 774

17.12 Calculating Deflections of Trusses by

Castigliano’s Theorem 776

17.13 Calculating Deflections of Beams by

Castigliano’s Theorem 781

Appendix A Geometric Properties

of an Area 790

A.1 Centroid of an Area 790

A.2 Moment of Inertia for an Area 794

A.3 Product of Inertia for an Area 799

A.4 Principal Moments of Inertia 801

A.5 Mohr’s Circle for Principal Moments

of Inertia 805

Appendix B Geometric Properties

of Structural Steel Shapes 809

Appendix C Table of Beam Slopes and

Deflections 821

Appendix D Average Properties

of Selected Materials 824

Appendix E Fundamental Mechanics of

Materials Equations 828

Answers to Odd Numbered

Problems 832

Index 847

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