Mechanics of Materials

Cover
......Page 1
Contents......Page 7
About the Authors......Page 11
Preface......Page 13
Mindtap Online Course......Page 20
Symbols......Page 23
Ch 1: Tension, Compression, and Shear......Page 27
1.2 Problem-Solving Approach......Page 28
1.3 Statics Review......Page 29
1.4 Normal Stress and Strain......Page 48
1.5 Mechanical Properties of Materials......Page 57
1.6 Elasticity, Plasticity, and Creep......Page 64
1.7 Linear Elasticity, Hooke's Law, and Poisson's Ratio......Page 70
1.8 Shear Stress and Strain......Page 76
1.9 Allowable Stresses and Allowable Loads......Page 89
1.10 Design For Axial Loads and Direct Shear......Page 96
Chapter Summary and Review......Page 100
Problems Chapter 1......Page 103
Ch 2: Axially Loaded Members......Page 145
2.2 Changes in Lengths of Axially Loaded Members......Page 146
2.3 Changes in Lengths under Nonuniform Conditions......Page 154
2.4 Statically Indeterminate Structures......Page 168
2.5 Thermal Effects, Misfits, and Prestrains......Page 181
2.6 Stresses on Inclined Sections......Page 200
2.7 Strain Energy......Page 212
2.8 Impact Loading......Page 223
2.9 Repeated Loading and Fatigue......Page 231
2.10 Stress Concentrations......Page 233
2.11 Nonlinear Behavior......Page 240
2.12 Elastoplastic Analysis......Page 244
Chapter Summary and Review......Page 251
Problems Chapter 2......Page 253
Ch 3: Torsion......Page 299
3.2 Torsional Deformations of a Circular Bar......Page 300
3.3 Circular Bars of Linearly Elastic Materials......Page 303
3.4 Nonuniform Torsion......Page 316
3.5 Stresses and Strains in Pure Shear......Page 328
3.6 Relationship between Moduli of Elasticity E and G......Page 335
3.7 Transmission of Power by Circular Shafts......Page 337
3.8 Statically Indeterminate Torsional Members......Page 341
3.9 Strain Energy in Torsion and Pure Shear......Page 345
3.10 Torsion of Noncircular Prismatic Shafts......Page 352
3.11 Thin-Walled Tubes......Page 362
3.12 Stress Concentrations in Torsion......Page 370
Chapter Summary and Review......Page 375
Problems Chapter 3......Page 378
Ch 4: Shear Forces and Bending Moments......Page 403
4.2 Types of Beams, Loads, and Reactions......Page 404
4.3 Shear Forces and Bending Moments......Page 414
4.4 Relationships among Loads, Shear Forces, and Bending Moments......Page 422
4.5 Shear-Force and Bending-Moment Diagrams......Page 426
Chapter Summary and Review......Page 453
Problems Chapter 4......Page 455
Ch 5: Stresses in Beams (Basic Topics)......Page 471
5.2 Pure Bending and Nonuniform Bending......Page 472
5.3 Curvature of a Beam......Page 473
5.4 Longitudinal Strains in Beams......Page 475
5.5 Normal Stresses in Beams (Linearly Elastic Materials)......Page 479
5.6 Design of Beams for Bending Stresses......Page 492
5.7 Nonprismatic Beams......Page 502
5.8 Shear Stresses in Beams of Rectangular Cross Section......Page 506
5.9 Shear Stresses in Beams of Circular Cross Section......Page 514
5.10 Shear Stresses in the Webs of Beams with Flanges......Page 517
5.11 Built-Up Beams and Shear Flow......Page 524
5.12 Beams with Axial Loads......Page 528
5.13 Stress Concentrations in Bending......Page 535
Chapter Summary and Review......Page 540
Problems Chapter 5......Page 544
Ch 6: Stresses in Beams (Advanced Topics)......Page 579
6.2 Composite Beams......Page 580
6.3 Transformed-Section Method......Page 589
6.4 Doubly Symmetric Beams with Inclined Loads......Page 597
6.5 Bending of Unsymmetric Beams......Page 604
6.6 The Shear-Center Concept......Page 615
6.7 Shear Stresses in Beams of Thin-Walled Open Cross Sections......Page 616
6.8 Shear Stresses in Wide-Flange Beams......Page 619
6.9 Shear Centers of Thin-Walled Open Sections......Page 623
6.10 Elastoplastic Bending......Page 631
Chapter Summary and Review......Page 640
Problems Chapter 6......Page 642
Ch 7: Analysis of Stress and Strain......Page 665
7.2 Plane Stress......Page 666
7.3 Principal Stresses and Maximum Shear Stresses......Page 674
7.4 Mohr's Circle for Plane Stress......Page 682
7.5 Hooke's Law for Plane Stress......Page 695
7.6 Triaxial Stress......Page 701
7.7 Plane Strain......Page 705
Chapter Summary and Review......Page 720
Problems Chapter 7......Page 723
Ch 8: Applications of Plane Stress (Pressure Vessels, Beams, and Combined Loadings)......Page 745
8.2 Spherical Pressure Vessels......Page 746
8.3 Cylindrical Pressure Vessels......Page 752
8.4 Maximum Stresses in Beams......Page 759
8.5 Combined Loadings......Page 767
Chapter Summary and Review......Page 792
Problems Chapter 8......Page 794
Ch 9: Deflections of Beams......Page 813
9.2 Differential Equations of the Deflection Curve......Page 814
9.3 Deflections by Integration of the Bending-Moment Equation......Page 819
9.4 Deflections by Integration of the Shear-Force and Load Equations......Page 830
9.5 Method of Superposition......Page 835
9.6 Moment-Area Method......Page 844
9.7 Nonprismatic Beams......Page 852
9.8 Strain Energy of Bending......Page 857
9.9 Castigliano's Theorem......Page 862
9.10 Deflections Produced by Impact......Page 874
9.11 Temperature Effects......Page 876
Chapter Summary and Review......Page 880
Problems Chapter 9......Page 882
Ch 10: Statically Indeterminate Beams......Page 909
10.2 Types of Statically Indeterminate Beams......Page 910
10.3 Analysis by the Differential Equations of the Deflection Curve......Page 913
10.4 Method of Superposition......Page 919
10.5 Temperature Effects......Page 933
10.6 Longitudinal Displacements at the Ends of a Beam......Page 940
Chapter Summary and Review......Page 943
Problems Chapter 10......Page 945
Ch 11: Columns......Page 959
11.2 Buckling and Stability......Page 960
11.3 Columns with Pinned Ends......Page 968
11.4 Columns with Other Support Conditions......Page 977
11.5 Columns with Eccentric Axial Loads......Page 986
11.6 The Secant Formula for Columns......Page 991
11.7 Elastic and Inelastic Column Behavior......Page 996
11.8 Inelastic Buckling......Page 998
11.9 Design Formulas for Columns......Page 1003
Chapter Summary and Review......Page 1019
Problems Chapter 11......Page 1022
References and Historical Notes......Page 1045
Appendix A: Systems of Units and Conversion Factors......Page 1055
Appendix B: Problem Solving......Page 1069
Appendix C: Mathematical Formulas......Page 1077
Appendix D: Review of Centroids and Moments of Inertia......Page 1083
Appendix E: Properties of Plane Areas......Page 1109
Appendix F: Properties of Structural-Steel Shapes......Page 1115
Appendix G: Properties of Structural Lumber......Page 1127
Appendix H: Deflections and Slopes of Beams......Page 1129
Appendix I: Properties of Materials......Page 1135
Answers to Problems......Page 1141
Index......Page 1179