Mechanics of Materials, Global Edition

In Mechanics of Materials, 3rd Edition, Timothy A. Philpot presents the theory and practice of mechanics of materials in a straight-forward, plain-speaking, student-friendly manner that addresses the learning styles of today's students without sacrificing rigor or depth in the presentation of topics.  Unique to this book is the integration of MecMovies.  This award-winning instructional software package created by the author provides extensive hands-on practice and feedback to students as they become familiar with a wide variety of concepts and applications, from stress and strain to bending, torsion, transverse shear, and combined loads.  The animations, tutorials, games, and examples within MecMovies have been proven to increase students' performance, visualization skills, confidence level in solving problems, and overall interest in the subject matter.

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 31 2.1 Displacement, Deformation, and the Concept of Strain 31 2.2 Normal Strain 32 2.3 Shear Strain 39 2.4 Thermal Strain 43 Chapter 3 Mechanical Properties of Materials 47 3.1 The Tension Test 47 3.2 The Stress–Strain Diagram 50 3.3 Hooke’s Law 58 3.4 Poisson’s Ratio 58 Chapter 4 Design Concepts 69 4.1 Introduction 69 4.2 Types of Loads 70 4.3 Safety 71 4.4 Allowable Stress Design 72 4.5 Load and Resistance Factor Design 83 Chapter 5 Axial Deformation 89 5.1 Introduction 89 5.2 Saint-Venant’s Principle 90 5.3 Deformations in Axially Loaded Bars 92 5.4 Deformations in a System of Axially Loaded Bars 101 5.5 Statically Indeterminate Axially Loaded Members 109 5.6 Thermal Effects on Axial Deformation 129 5.7 Stress Concentrations 141 Chapter 6 Torsion 147 6.1 Introduction 147 6.2 Torsional Shear Strain 149 6.3 Torsional Shear Stress 150 6.4 Stresses on Oblique Planes 152 6.5 Torsional Deformations 154 6.6 Torsion Sign Conventions 155 6.7 Gears in Torsion Assemblies 168 6.8 Power Transmission 175 6.9 Statically Indeterminate Torsion Members 182 6.10 Stress Concentrations in Circular Shafts Under Torsional Loadings 201 6.11 Torsion of Noncircular Sections 204 6.12 Torsion of Thin-Walled Tubes: Shear Flow 207 Chapter 7 Equilibrium of Beams 213 7.1 Introduction 213 7.2 Shear and Moment in Beams 215 7.3 Graphical Method for Constructing Shear and Moment Diagrams 227 7.4 Discontinuity Functions to Represent Load, Shear, and Moment 248 Chapter 8 Bending 261 8.1 Introduction 261 8.2 Flexural Strains 263 8.3 Normal Stresses in Beams 264 8.4 Analysis of Bending Stresses in Beams 279 8.5 Introductory Beam Design for Strength 292 8.6 Flexural Stresses in Beams of Two Materials 297 8.7 Bending Due to Eccentric Axial Load 310 8.8 Unsymmetric Bending 322 8.9 Stress Concentrations Under Flexural Loadings 332 Chapter 9 Shear Stress in Beams 337 9.1 Introduction 337 9.2 Resultant Forces Produced by Bending Stresses 337 9.3 The Shear Stress Formula 345 9.4 The First Moment of Area Q 349 9.5 Shear Stresses in Beams of Rectangular Cross Section 351 9.6 Shear Stresses in Beams of Circular Cross Section 358 9.7 Shear Stresses in Webs of Flanged Beams 358 9.8 Shear Flow in Built-Up Members 368 9.9 Shear Stress and Shear Flow in Thin-Walled Members 381 9.10 Shear Centers of Thin-Walled Open Sections 392 Chapter 10 Beam Defl ections 409 10.1 Introduction 409 10.2 Moment-Curvature Relationship 410 10.3 The Differential Equation of the Elastic Curve 410 10.4 Defl ections by Integration of a Moment Equation 414 10.5 Defl ections by Integration of Shear-Force or Load Equations 429 10.6 Defl ections Using Discontinuity Functions 433 10.7 Method of Superposition 443 Chapter 11 Statically Indeterminate Beams 469 11.1 Introduction 469 11.2 Types of Statically Indeterminate Beams 469 11.3 The Integration Method 471 11.4 Use of Discontinuity Functions for Statically Indeterminate Beams 478 11.5 The Superposition Method 486 Chapter 12 Stress Transformations 507 12.1 Introduction 507 12.2 Stress at a General Point in an Arbitrarily Loaded Body 508 12.3 Equilibrium of the Stress Element 510 12.4 Plane Stress 511 12.5 Generating the Stress Element 511 12.6 Equilibrium Method for Plane Stress Transformations 517 12.7 General Equations of Plane Stress Transformation 520 12.8 Principal Stresses and Maximum Shear Stress 528 12.9 Presentation of Stress Transformation Results 535 12.10 Mohr’s Circle for Plane Stress 543 12.11 General State of Stress at a Point 561 Chapter 13 Strain Transformations 569 13.1 Introduction 569 13.2 Plane Strain 570 13.3 Transformation Equations for Plane Strain 571 13.4 Principal Strains and Maximum Shearing Strain 576 13.5 Presentation of Strain Transformation Results 578 13.6 Mohr’s Circle for Plane Strain 581 13.7 Strain Measurement and Strain Rosettes 585 13.8 Generalized Hooke’s Law for Isotropic Materials 591 Chapter 14 Thin-Walled Pressure Vessels 607 14.1 Introduction 607 14.2 Spherical Pressure Vessels 608 14.3 Cylindrical Pressure Vessels 610 14.4 Strains in Pressure Vessels 613 Chapter 15 Combined Loads 623 15.1 Introduction 623 15.2 Combined Axial and Torsional Loads 623 15.3 Principal Stresses in a Flexural Member 628 15.4 General Combined Loadings 643 15.5 Theories of Failure 668 Chapter 16 Columns 681 16.1 Introduction 681 16.2 Buckling of Pin-Ended Columns 684 16.3 The Effect of End Conditions on Column Buckling 695 16.4 The Secant Formula 706 16.5 Empirical Column Formulas—Centric Loading 712 16.6 Eccentrically Loaded Columns 723 Chapter 17 Energy Methods 733 17.1 Introduction 733 17.2 Work and Strain Energy 734 17.3 Elastic Strain Energy for Axial Deformation 738 17.4 Elastic Strain Energy for Torsional Deformation 740 17.5 Elastic Strain Energy for Flexural Deformation 742 17.6 Impact Loading 747 17.7 Work-Energy Method for Single Loads 765 17.8 Method of Virtual Work 770 17.9 Deflections of Trusses by the Virtual-Work Method 775 17.10 Deflections of Beams by the Virtual-Work Method 782 17.11 Castigliano’s Second Theorem 796 17.12 Calculating Deflections of Trusses by Castigliano’s Theorem 798 17.13 Calculating Deflections of Beams by Castigliano’s Theorem 803 Appendix A Geometric Properties of an Area 813 A.1 Centroid of an Area 813 A.2 Moment of Inertia for an Area 817 A.3 Product of Inertia for an Area 822 A.4 Principal Moments of Inertia 825 A.5 Mohr’s Circle for Principal Moments of Inertia 829 Appendix B Geometric Properties of Structural Steel Shapes 833 Appendix C Table of Beam Slopes and Deflections 841 Appendix D Average Properties of Selected Materials 845 Answers to Odd Numbered Problems 849 Index 871