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Mechanics of Materials, 3rd Edition

February 2011, ©2011
Mechanics of Materials, 3rd Edition (EHEP001802) cover image
The core concepts of equilibrium, force-temperature-deformation behavior of materials, and geometry of deformation are central to a students understanding of mechanics of materials. The third edition of Roy Craig’s Mechanics of Materials maintains its signature clear focus on these core concepts while showing students how to approach and solve problems with his four-step problem solving methodology.

With newly revised and updated homework problems, this edition brings on an award-winning software program, MD Solids, to reinforce visualization using animations, tutorials, and examples. In addition, new chapter summary tables help readers check their understanding of key concepts and key equations to increase student retention.

 

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1 INTRODUCTION TO MECHANICS OF MATERIALS 1

1.1 What Is Mechanics of Materials? 1

(Includes Color-Photo Insert)

1.2 The Fundamental Equations of Deformable-Body Mechanics, 4

1.3 Problem-Solving Procedures, 6

1.4 Review of Static Equilibrium; Equilibrium of Deformable Bodies, 8

1.5 Problems, 17

Chapter 1 Review, 21

2 STRESS AND STRAIN; INTRODUCTION TO DESIGN 22

2.1 Introduction, 22

2.2 Normal Stress, 23

2.3 Extensional Strain; Thermal Strain, 31

2.4 Stress-Strain Diagrams; Mechanical Properties of Materials, 37

2.5 Elasticity and Plasticity; Temperature Effects, 45

2.6 Linear Elasticity; Hooke’s Law and Poisson’s Ratio, 48

2.7 Shear Stress and Shear Strain; Shear Modulus, 51

2.8 Introduction to Design—Axial Loads and Direct Shear, 57

2.9 Stresses on an Inclined Plane in an Axially Loaded Member, 65

2.10 Saint-Venant’s Principle, 67

2.11 Hooke’s Law for Plane Stress; The Relationship Between E and G, 69

2.12 General Definitions of Stress and Strain, 72

*2.13 Cartesian Components of Stress; Generalized Hooke’s Law for Isotropic Materials, 82

*2.14 Mechanical Properties of Composite Materials, 87

2.15 Problems, 89

Chapter 2 Review, 113

3 AXIAL DEFORMATION 118

3.1 Introduction, 118

3.2 Basic Theory of Axial Deformation, 118

3.3 Examples of Nonuniform Axial Deformation, 126

3.4 Statically Determinate Structures, 136

3.5 Statically Indeterminate Structures, 143

3.6 Thermal Effects on Axial Deformation, 152

3.7 Geometric ‘‘Misfits,’’ 163

3.8 Displacement-Method Solution of Axial-Deformation Problems, 168

*3.9 Force-Method Solution of Axial- Deformation Problems, 180

*3.10 Introduction to the Analysis of Planar Trusses, 189

*3.11 Inelastic Axial Deformation, 197

3.12 Problems, 209

Chapter 3 Review, 234

4 TORSION 237

4.1 Introduction, 237

4.2 Torsional Deformation of Circular Bars, 238

4.3 Torsion of Linearly Elastic Circular Bars, 241

4.4 Stress Distribution in Circular Torsion Bars; Torsion Testing, 249

4.5 Statically Determinate Assemblages of Uniform Torsion Members, 253

4.6 Statically Indeterminate Assemblages of Uniform Torsion Members, 258

*4.7 Displacement-Method Solution of Torsion Problems, 266

4.8 Power-Transmission Shafts, 272

*4.9 Thin-Wall Torsion Members, 275

*4.10 Torsion of Noncircular Prismatic Bars, 280

*4.11 Inelastic Torsion of Circular Rods, 284

4.12 Problems, 290

Chapter 4 Review, 307

5 EQUILIBRIUM OF BEAMS 309

5.1 Introduction, 309

5.2 Equilibrium of Beams Using Finite Free-Body Diagrams, 314

5.3 Equilibrium Relationships Among Loads, Shear Force, and Bending Moment, 318

5.4 Shear-Force and Bending-Moment Diagrams: Equilibrium Method 321

5.5 Shear-Force and Bending-Moment Diagrams: Graphical Method 326

*5.6 Discontinuity Functions to Represent Loads, Shear, and Moment, 333

5.7 Problems, 340

Chapter 5 Review, 348

6 STRESSES IN BEAMS 351

6.1 Introduction, 351

6.2 Strain-Displacement Analysis, 354

6.3 Flexural Stress in Linearly Elastic Beams, 360

6.4 Design of Beams for Strength, 369

6.5 Flexural Stress in Nonhomogeneous Beams, 375

*6.6 Unsymmetric Bending, 383

*6.7 Inelastic Bending of Beams, 392

6.8 Shear Stress and Shear Flow in Beams, 402

6.9 Limitations on the Shear-Stress Formula, 408

6.10 Shear Stress in Thin-Wall Beams, 411

6.11 Shear in Built-Up Beams, 421

*6.12 Shear Center, 425

6.13 Problems, 432

Chapter 6 Review, 460

7 DEFLECTION OF BEAMS 463

7.1 Introduction, 463

7.2 Differential Equations of the Deflection Curve, 464

7.3 Slope and Deflection by Integration—Statically Determinate Beams, 470

7.4 Slope and Deflection by Integration—Statically Indeterminate Beams, 483

*7.5 Use of Discontinuity Functions to Determine Beam Deflections, 488

7.6 Slope and Deflection of Beams: Superposition Method, 495

*7.7 Slope and Deflection of Beams: Displacement Method, 513

7.8 Problems, 520

Chapter 7 Review, 539

8 TRANSFORMATION OF STRESS AND STRAIN; MOHR’S CIRCLE 541

8.1 Introduction, 541

8.2 Plane Stress, 542

8.3 Stress Transformation for Plane Stress, 544

8.4 Principal Stresses and Maximum Shear Stress, 551

8.5 Mohr’s Circle for Plane Stress, 557

8.6 Triaxial Stress; Absolute Maximum Shear Stress, 564

8.7 Plane Strain, 571

8.8 Transformation of Strains in a Plane, 572

8.9 Mohr’s Circle for Strain, 576

8.10 Measurement of Strain; Strain Rosettes, 582

*8.11 Analysis of Three-Dimensional Strain, 587

8.12 Problems, 588

Chapter 8 Review, 601

9 PRESSURE VESSELS; STRESSES DUE TO COMBINED LOADING 604

9.1 Introduction, 604

9.2 Thin-Wall Pressure Vessels, 605

9.3 Stress Distribution in Beams, 611

9.4 Stresses Due to Combined Loads, 616

9.5 Problems, 625

Chapter 9 Review, 633

10 BUCKLING OF COLUMNS 635

10.1 Introduction, 635

10.2 The Ideal Pin-Ended Column; Euler Buckling Load, 638

10.3 The Effect of End Conditions on Column Buckling, 644

*10.4 Eccentric Loading; The Secant Formula, 651

*10.5 Imperfections in Columns, 657

*10.6 Inelastic Buckling of Ideal Columns, 658

10.7 Design of Centrally Loaded Columns, 662

10.8 Problems, 668

Chapter 10 Review, 681

11 ENERGY METHODS 683

11.1 Introduction, 683

11.2 Work and Strain Energy, 684

11.3 Elastic Strain Energy for Various Types of Loading, 691

11.4 Work-Energy Principle for Calculating Deflections, 697

11.5 Castigliano’s Second Theorem; The Unit-Load Method, 702

*11.6 Virtual Work, 713

*11.7 Strain-Energy Methods, 717

*11.8 Complementary-Energy Methods, 722

*11.9 Dynamic Loading; Impact, 732

11.10 Problems, 737

Chapter 11 Review, 751

12 SPECIAL TOPICS RELATED TO DESIGN 753

12.1 Introduction, 753

12.2 Stress Concentrations, 753

*12.3 Failure Theories, 760

*12.4 Fatigue and Fracture, 768

12.5 Problems, 772

Chapter 12 Review, 777

A NUMERICAL ACCURACY; APPROXIMATIONS A-1

A.1 Numerical Accuracy; Significant Digits, A-1

A.2 Approximations, A-2

B SYSTEMS OF UNITS B-1

B.1 Introduction, B-1

B.2 SI Units, B-1

B.3 U.S. Customary Units; Conversion of Units, B-3

C GEOMETRIC PROPERTIES OF PLANE AREAS C-1

C.1 First Moments of Area; Centroid, C-1

C.2 Moments of Inertia of an Area, C-4

C.3 Product of Inertia of an Area, C-8

C.4 Area Moments of Inertia About Inclined Axes; Principal Moments of Inertia, C-10

D SECTION PROPERTIES OF SELECTED STRUCTURAL SHAPES D-1

D.1 Properties of Steel Wide-Flange (W) Shapes (U.S. Customary Units), D-2

D.2 Properties of Steel Wide-Flange (W) Shapes (SI Units), D-3

D.3 Properties of American Standard (S) Beams (U.S. Customary Units), D-4

D.4 Properties of American Standard (C) Channels (U.S. Customary Units), D-5

D.5 Properties of Steel Angle Sections—Equal Legs (U.S. Customary Units), D-6

D.6 Properties of Steel Angle Sections—Unequal Legs (U.S. Customary Units), D-7

D.7 Properties of Standard-Weight Steel Pipe (U.S. Customary Units), D-8

D.8 Properties of Structural Lumber (U.S. Customary Units), D-9

D.9 Properties of Aluminum Association Standard I-Beams (U.S. Customary Units), D-10

D.10 Properties of Aluminum Association Standard Channels (U.S. Customary Units), D-11

E DEFLECTIONS AND SLOPES OF BEAMS; FIXED-END ACTIONS E-1

E.1 Deflections and Slopes of Cantilever Uniform Beams, E-1

E.2 Deflections and Slopes of Simply Supported Uniform Beams, E-3

E.3 Fixed-End Actions for Uniform Beams, E-4

F MECHANICAL PROPERTIES OF SELECTED ENGINEERING MATERIALS F-1

F.1 Specific Weight and Mass Density, F-2

F.2 Modulus of Elasticity, Shear Modulus of Elasticity, and Poisson’s Ratio, F-3

F.3 Yield Strength, Ultimate Strength, Percent Elongation in 2 Inches, and Coefficient of Thermal Expansion, F-4

G COMPUTATIONAL MECHANICS G-1

G.1 MDSolids, G-1

ANSWERS TO SELECTED ODDNUMBERED PROBLEMS ANS-1

REFERENCES R-1

INDEX I-1

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  • New chapter summary tables help readers confirm their grasp of the key concepts in each chapter, as well providing the key equation(s) that map to each of those concepts along with a guide to where the student can review the details
  • MD Solids, an award-winning software package helps students gain visualization skills using animations, tutorials and other learning/problem-solving tools, along with numerous examples
  • New and revised homework problems have been provided – approximately one third of the end of chapter problems are either new and/or revised
  • Reorganization of Chapter 3, with the topic of statically indeterminate structures introduced in the 'classical' way, but integrating coverage of the Displacement Method while also offering a separate, optional section on force method. There is still a strong emphasis on the three distinct equations of deformable-body mechanics – equilibrium, force-deformation behavior, and geometry of behavior, but this coverage now focuses on procedures and then proceeds to flow charts
  • Newly updated coverage of both wire rope and composites
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  • Emphasis on the Three Key Concepts of Mechanics of Solids. Throughout the text, Craig utilizes a framework that helps students solve problems by identifying the key FUNDAMENTAL equations that may be considered, via the three key concepts OF:
    • Equilibrium
    • Force-Temperature-Deformation Behavior of Materials
    • Geometry of Deformation
  • Consistent four-step problem-solving procedure is utilized throughout the text , helping students to achieve greater accuracy while developing their skills
  • Emphasis on logical and consistent sign conventions for problems in axial deformation, torsion, and bending
  • Sound introductions of the displacement method and force method problem-solving procedures provide readers with a foundation for future courses in structures and/or Finite Element Analysis
  • Emphasis on topics related to energy with an entire centralized coverage of all energy-related topics into one chapter (Chapter 11)
  • Strong focus on design issues, including computer-assisted design and specified design-oriented problems
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Mechanics of Materials, 3rd Edition
ISBN : 978-0-470-91200-3
856 pages
March 2011, ©2011
$69.50   BUY

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Mechanics of Materials, 3rd Edition
ISBN : 978-0-470-48181-3
856 pages
February 2011, ©2011
$219.95   BUY

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