Textbook
Mechanics of Materials, 3rd EditionFebruary 2011, ©2011

With newly revised and updated homework problems, this edition brings on an awardwinning 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.
1 INTRODUCTION TO MECHANICS OF MATERIALS 1
1.1 What Is Mechanics of Materials? 1
(Includes ColorPhoto Insert)
1.2 The Fundamental Equations of DeformableBody Mechanics, 4
1.3 ProblemSolving 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 StressStrain 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 SaintVenant’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 DisplacementMethod Solution of AxialDeformation Problems, 168
*3.9 ForceMethod 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 DisplacementMethod Solution of Torsion Problems, 266
4.8 PowerTransmission Shafts, 272
*4.9 ThinWall 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 FreeBody Diagrams, 314
5.3 Equilibrium Relationships Among Loads, Shear Force, and Bending Moment, 318
5.4 ShearForce and BendingMoment Diagrams: Equilibrium Method 321
5.5 ShearForce and BendingMoment 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 StrainDisplacement 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 ShearStress Formula, 408
6.10 Shear Stress in ThinWall Beams, 411
6.11 Shear in BuiltUp 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 ThreeDimensional 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 ThinWall 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 PinEnded 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 WorkEnergy Principle for Calculating Deflections, 697
11.5 Castigliano’s Second Theorem; The UnitLoad Method, 702
*11.6 Virtual Work, 713
*11.7 StrainEnergy Methods, 717
*11.8 ComplementaryEnergy 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 A1
A.1 Numerical Accuracy; Significant Digits, A1
A.2 Approximations, A2
B SYSTEMS OF UNITS B1
B.1 Introduction, B1
B.2 SI Units, B1
B.3 U.S. Customary Units; Conversion of Units, B3
C GEOMETRIC PROPERTIES OF PLANE AREAS C1
C.1 First Moments of Area; Centroid, C1
C.2 Moments of Inertia of an Area, C4
C.3 Product of Inertia of an Area, C8
C.4 Area Moments of Inertia About Inclined Axes; Principal Moments of Inertia, C10
D SECTION PROPERTIES OF SELECTED STRUCTURAL SHAPES D1
D.1 Properties of Steel WideFlange (W) Shapes (U.S. Customary Units), D2
D.2 Properties of Steel WideFlange (W) Shapes (SI Units), D3
D.3 Properties of American Standard (S) Beams (U.S. Customary Units), D4
D.4 Properties of American Standard (C) Channels (U.S. Customary Units), D5
D.5 Properties of Steel Angle Sections—Equal Legs (U.S. Customary Units), D6
D.6 Properties of Steel Angle Sections—Unequal Legs (U.S. Customary Units), D7
D.7 Properties of StandardWeight Steel Pipe (U.S. Customary Units), D8
D.8 Properties of Structural Lumber (U.S. Customary Units), D9
D.9 Properties of Aluminum Association Standard IBeams (U.S. Customary Units), D10
D.10 Properties of Aluminum Association Standard Channels (U.S. Customary Units), D11
E DEFLECTIONS AND SLOPES OF BEAMS; FIXEDEND ACTIONS E1
E.1 Deflections and Slopes of Cantilever Uniform Beams, E1
E.2 Deflections and Slopes of Simply Supported Uniform Beams, E3
E.3 FixedEnd Actions for Uniform Beams, E4
F MECHANICAL PROPERTIES OF SELECTED ENGINEERING MATERIALS F1
F.1 Specific Weight and Mass Density, F2
F.2 Modulus of Elasticity, Shear Modulus of Elasticity, and Poisson’s Ratio, F3
F.3 Yield Strength, Ultimate Strength, Percent Elongation in 2 Inches, and Coefficient of Thermal Expansion, F4
G COMPUTATIONAL MECHANICS G1
G.1 MDSolids, G1
ANSWERS TO SELECTED ODDNUMBERED PROBLEMS ANS1
REFERENCES R1
INDEX I1
 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 awardwinning software package helps students gain visualization skills using animations, tutorials and other learning/problemsolving 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 deformablebody mechanics – equilibrium, forcedeformation 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
 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
 ForceTemperatureDeformation Behavior of Materials
 Geometry of Deformation
 Consistent fourstep problemsolving 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 problemsolving 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 energyrelated topics into one chapter (Chapter 11)
 Strong focus on design issues, including computerassisted design and specified designoriented problems
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