Download Mechanics of Materials by James M.Gere ( 6th Edition )

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Mechanics of Materials,6th edition
James M.Gere
Professor Emeritus,Stanford University
            

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Detailed Contents of this Book:

1 Tension,Compression,and Shear 1
1.1 Introduction to Mechanics of Materials 1
1.2 Normal Stress and Strain 3
1.3 Mechanical Properties of Materials 10
1.4 Elasticity, Plasticity, and Creep 20
1.5 Linear Elasticity, Hooke’s Law, and Poisson’s Ratio 23
1.6 Shear Stress and Strain 28
1.7 Allowable Stresses and Allowable Loads 39
1.8 Design for Axial Loads and Direct Shear 44

Problems 49


2 Axially Loaded Members 67
2.1 Introduction 67
2.2 Changes in Lengths of Axially Loaded Members 68
2.3 Changes in Lengths Under Nonuniform Conditions 77
2.4 Statically Indeterminate Structures 84
2.5 Thermal Effects, Misfits, and Prestrains 93
2.6 Stresses on Inclined Sections 105
2.7 Strain Energy 116
2.8 Impact Loading 128
2.9 Repeated Loading and Fatigue 136
2.10 Stress Concentrations 138
2.11 Nonlinear Behavior 144
2.12 Elastoplastic Analysis 149

Problems 155


3 Torsion 185
3.1 Introduction 185
3.2 Torsional Deformations of a Circular Bar 186
3.3 Circular Bars of Linearly Elastic Materials 189
3.4 Nonuniform Torsion 202
3.5 Stresses and Strains in Pure Shear 209
3.6 Relationship Between Moduli of Elasticity E and G 216
3.7 Transmission of Power by Circular Shafts 217
3.8 Statically Indeterminate Torsional Members 222
3.9 Strain Energy in Torsion and Pure Shear 226
3.10 Thin-Walled Tubes 234
3.11 Stress Concentrations in Torsion 243

Problems 245


4 Shear Forces and Bending Moments 264
4.1 Introduction 264
4.2 Types of Beams, Loads, and Reactions 264
4.3 Shear Forces and Bending Moments 269
4.4 Relationships Between Loads, Shear Forces, and Bending Moments 276
4.5 Shear-Force and Bending-Moment Diagrams 281

Problems 292


5 Stresses in Beams (Basic Topics) 300
5.1 Introduction 300
5.2 Pure Bending and Nonuniform Bending 301
5.3 Curvature of a Beam 302
5.4 Longitudinal Strains in Beams 304
5.5 Normal Stresses in Beams (Linearly Elastic Materials) 309
5.6 Design of Beams for Bending Stresses 321
5.7 Nonprismatic Beams 330
5.8 Shear Stresses in Beams of Rectangular Cross Section 334
5.9 Shear Stresses in Beams of Circular Cross Section 343
5.10 Shear Stresses in the Webs of Beams with Flanges 346
5.11 Built-Up Beams and Shear Flow 354
5.12 Beams with Axial Loads 358
5.13 Stress Concentrations in Bending 364

Problems 366

6 Stresses in Beams (Advanced Topics) 393
6.1 Introduction 393
6.2 Composite Beams 393
6.3 Transformed-Section Method 403
6.4 Doubly Symmetric Beams with Inclined Loads 409
6.5 Bending of Unsymmetric Beams 416
6.6 The Shear-Center Concept 421
6.7 Shear Stresses in Beams of Thin-Walled Open Cross Sections 424
6.8 Shear Stresses in Wide-Flange Beams 427
6.9 Shear Centers of Thin-Walled Open Sections 431
6.10 Elastoplastic Bending 440

Problems 450


7 Analysis of Stress and Strain 464
7.1 Introduction 464
7.2 Plane Stress 465
7.3 Principal Stresses and Maximum Shear Stresses 474
7.4 Mohr’s Circle for Plane Stress 483
7.5 Hooke’s Law for Plane Stress 500
7.6 Triaxial Stress 505
7.7 Plane Strain 510

Problems 525


8 Applications of Plane Stress (Pressure Vessels,Beams,and Combined Loadings) 541
8.1 Introduction 541
8.2 Spherical Pressure Vessels 541
8.3 Cylindrical Pressure Vessels 548
8.4 Maximum Stresses in Beams 556
8.5 Combined Loadings 566

Problems 583


9 Deflections of Beams 594
9.1 Introduction 594
9.2 Differential Equations of the Deflection Curve 594
9.3 Deflections by Integration of the Bending-Moment Equation 600
9.4 Deflections by Integration of the Shear-Force and Load Equations 611
9.5 Method of Superposition 617
9.6 Moment-Area Method 626
9.7 Nonprismatic Beams 636
9.8 Strain Energy of Bending 641
9.9 Castigliano’s Theorem 647
9.10 Deflections Produced by Impact 659
9.11 Discontinuity Functions 661
9.12 Use of Discontinuity Functions in Determining Beam Deflections 673
9.13 Temperature Effects 685

Problems 687


10 Statically Indeterminate Beams 707
10.1 Introduction 707
10.2 Types of Statically Indeterminate Beams 708
10.3 Analysis by the Differential Equations of the Deflection Curve 711
10.4 Method of Superposition 718
10.5 Temperature Effects 731
10.6 Longitudinal Displacements at the Ends of a Beam 734

Problems 738


11 Columns 748
11.1 Introduction 748
11.2 Buckling and Stability 749
11.3 Columns with Pinned Ends 752
11.4 Columns with Other Support Conditions 765
11.5 Columns with Eccentric Axial Loads 776
11.6 The Secant Formula for Columns 781
11.7 Elastic and Inelastic Column Behavior 787
11.8 Inelastic Buckling 789
11.9 Design Formulas for Columns 795

Problems 813


12 Review of Centroids and Moments of Inertia 828
12.1 Introduction 828
12.2 Centroids of Plane Areas 829
12.3 Centroids of Composite Areas 832
12.4 Moments of Inertia of Plane Areas 835
12.5 Parallel-Axis Theorem for Moments of Inertia 838
12.6 Polar Moments of Inertia 841
12.7 Products of Inertia 843
12.8 Rotation of Axes 846
12.9 Principal Axes and Principal Moments of Inertia 848

Problems 852


References and Historical Notes 859


Appendix A Systems of Units and Conversion Factors 867
A.1 Systems of Units 867
A.2 SI Units 868
A.3 U.S. Customary Units 875
A.4 Temperature Units 877
A.5 Conversions Between Units 878

Appendix B Problem Solving 881
B.1 Types of Problems 881
B.2 Steps in Solving Problems 882
B.3 Dimensional Homogeneity 883
B.4 Significant Digits 884
B.5 Rounding of Numbers 886

Appendix C Mathematical Formulas 887

Appendix D Properties of Plane Areas 891

Appendix E Properties of Structural-Steel Shapes 897

Appendix F Properties of Structural Lumber 903

Appendix G Deflections and Slopes of Beams 905

Appendix H Properties of Materials 911

Answers to Problems 917

Name Index 933

Subject Index 935