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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