Mechanics of Materials SI edition

About the Authors ix
Preface xi
Preface to the SI Edition xviii
MindTap Online Course xix
Symbols xxii
Greek Alphabet xxv
1 Tension, Compression, and Shear 1
1.1 Introduction to Mechanics of Materials 2
1.2 Problem-Solving Approach 2
1.3 Statics Review 3
1.4 Normal Stress and Strain 22
1.5 Mechanical Properties of Materials 31
1.6 Elasticity, Plasticity, and Creep 38
1.7 Linear Elasticity, Hooke’s Law, and Poisson’s ration 44
1.8 Shear Stress and Strain 50
1.9 Allowable Stresses and Allowable Loads 63
1.10 Design for Axial Loads and Direct Shear 70
Chapter Summary and Review 74
Problems 77
2 Axially Loaded Members 123
2.1 Introduction 124
2.2 Changes in Lengths of Axially Loaded Members 124
2.3 Changes in Lengths under Nonuniform Conditions 132
2.4 Statically Indeterminate Structures 146
2.5 Thermal Effects, Misfits, and Prestrains 159
2.6 Stresses on Inclined Sections 178
2.7 Strain Energy 190
2.8 Impact Loading 201
2.9 Repeated Loading and Fatigue 209
2.10 Stress Concentrations 211
2.11 Nonlinear Behaviour
2.12 Elastoplastic Analysis 222
Chapter Summary and Review 229
Problems 231
3 Torsion 281
3.1 Introduction 282
3.2 Torsional Deformation of a Circular Bar 282
3.3 Circular Bars of Linearly Elastic Materials 285
3.4 Nonuniform Torsion 298
3.5 Stresses and Strains in Pure Shear 310
3.6 Relationship Between Moduli of Elasticity E and G 317
3.7 Transmission of Power by Circular Shafts 319
3.8 Statically Indeterminate Torsional Members 323
3.9 Strain Energy in Torsion and Pure Shear 327
3.10 Torsion of Noncircular Prismatic Shafts 334
3.11 Thin-Walled Tubes 344
3.12 Stress Concentrations in Torsion 352
Chapter Summary and Review 357
Problems 360
4 Shear Forces and Bending Moments 389
4.1 Introduction 390
4.2 Types of Beams, Loads, and Reactions 390
4.3 Shear Forces and Bending Moments 400
4.4 Relationships Among Loads, Shear Forces, and Bending Moments 408
4.5 Shear-Force and Bending-Moment Diagrams 412
Chapter Summary and Review 439
Problems 441
5 Stresses in Beams (Basic Topics) 459
5.1 Introduction 460
5.2 Pure Bending and Nonuniform Bending 460
5.3 Curvature of a Beam 461
5.4 Longitudinal Strains in Beams 463
5.5 Normal Stresses in Beams (Linearly Elastic Materials) 467
5.6 Design of Beams for Bending Stresses 480
5.7 Nonprismatic Beams 490
5.8 Shear Stresses in Beams of Rectangular Cross Section 494
5.9 Shear Stresses in Beams of Circular Cross Section 502
5.10 Shear Stresses in the Webs of Beams with Flanges 505
5.11 Built-up Beams and Shear Flow 512
5.12 Beams with Axial Loads 516
5.13 Stress Concentration in Bending 523
Chapter Summary and Review 528
Problems 532
6 Stresses in Beams (Advanced Topics) 569
6.1 Introduction 570
6.2 Composite Beams 570
6.3 Transformed-Section Method 579
6.4 Doubly Symmetric Beams with Inclined Loads 587
6.5 Bending of Unsymmetric Beams 594
6.6 The Shear-Center Concept 605
6.7 Shear Stresses in Beams of Thin-Walled Open Cross Sections 606
6.8 Shear Stresses in Wide-Flange Beams 609
6.9 Shear Centers of Thin-Walled Open Sections 613
6.10 Elastoplastic Bending 621
Chapter Summary and Review 630
Problems 632
7 Analysis of Stress and Strain 657
7.1 Introduction 658
7.2 Plane Stress 658
7.3 Principal Stresses and Maximum Shear Stresses 666
7.4 Mohr’s Circle for Plane Stress 674
7.5 Hooke’s Law for Plane Stress 687
7.6 Triaxial Stress 693
7.7 Plane Strain 697
Chapter Summary and Review 712
Problems 715
8 Applications of Plane Stress (Pressure Vessels, Beams, and Combined Loadings) 739
8.1 Introduction
8.2 Spherical Pressure Vessels 740
8.3 Cylindrical Pressure Vessels 746
8.4 Maximum Stresses in Beams 753
8.5 Combined Loadings 761
Chapter Summary and Review 786
Problems 788
9 Deflections of Beams 811
9.1 Introduction 812
9.2 Differential Equations of the Deflection Curve 812
9.3 Deflections by Integration of the Bending-Moment Equation 817
9.4 Deflections by Integration of the Shear-Force and Load Equations 828
9.5 Method of Superposition 833
9.6 Moment-Area Method 842
9.7 Nonprismatic Beams 850
9.8 Strain Energy of Bending 855
9.9 Castigliano’s Theorem 860
9.10 Deflections Produced by Impact 872
9.11 Temperature Effects 874
Chapter Summary and Review 878
Problems 880
10 Statically Indeterminate Beams 909
10.1 Introduction 910
10.2 Types of Statically Indeterminate Beams 910
10.3 Analysis by the Differential Equations of the Deflection Curve 913
10.4 Method of Superposition 919
10.5 Temperature Effects 933
10.6 Longitudinal Displacements at the Ends of a Beam 940
Chapter Summary and Review 943
Problems 945
11 Columns 963
11.1 Introduction 964
11.2 Buckling and Stability 964
11.3 Columns with Pinned Ends 972
11.4 Columns with Other Support Conditions 981
11.5 Columns with Eccentric Axial Loads 990
11.6 The Secant Formula for Columns 995
11.7 Elastic and Inelastic Column Behaviour 1000
11.8 Inelastic Buckling 1002
Chapter Summary and Review 1008
Problems 1011
References and Historical Notes 1033
APPENDIX A: Systems of Units 1042
APPENDIX B: Problem Solving 1050
APPENDIX C: Mathematical Formulas 1058
APPENDIX D: Review of Centroids and Moments of Inertia 1063
APPENDIX E: Properties of Plane Areas 1089
APPENDIX F: Properties of Structural-Steel Shapes 1095
APPENDIX G: Properties of Structural Timber 1101
APPENDIX H: Deflections and Slopes of Beams 1102
APPENDIX I: Properties of Materials 1108
Answers to Problems 1113
Index 1150