Mechanics of Materials in SI Units

Front Cover......Page 1
Mechanics of Materials......Page 2
Title Page......Page 6
Copyright Page......Page 7
Preface......Page 10
Acknowledgements......Page 15
Contents......Page 20
 1.1 Introduction......Page 24
 1.2 Equilibrium of a Deformable Body......Page 25
 1.3 Stres......Page 43
 1.4 Average Normal Stres in an Axially Loaded Bar......Page 45
 1.5 Average Shear Stres......Page 53
 1.6 Allowable Stres Design......Page 67
 1.7 Limit State Design......Page 69
 2.1 Deformation......Page 90
 2.2 Strain......Page 91
 3.1 The Tension and Compression Test......Page 106
 3.2 The Stress–Strain Diagram......Page 108
 3.3 Stress–Strain Behavior of Ductile and Brittle Materials......Page 112
 3.4 Strain Energy......Page 116
 3.5 Poisson’s Ratio......Page 127
 3.6 The Shear Stress–Strain Diagram......Page 129
 *3.7 Failure of Materials Due to Creep and Fatigue......Page 132
 4.1 Saint-Venant’s Principle......Page 144
 4.2 Elastic Deformation of An Axially Loaded Member......Page 146
 4.4 Statically Indeterminate Axially Loaded Members......Page 161
 4.5 T He Force Method of Analysis for Axially Loaded Members......Page 168
 4.6 T Hermal Stress......Page 176
 4.7 Stress Concentrations......Page 183
 *4.8 Inelastic Axial Deformation......Page 186
 *4.9 Residual Stress......Page 188
 5.1 Torsional Deformation of a Circular Shaft Torque......Page 204
 5.2 The Torsion Formula......Page 207
 5.3 Power Transmission......Page 215
 5.4 Angle of Twist......Page 227
 5.5 Statically Indeterminate Torque-Loaded Members......Page 243
 *5.6 Solid Noncircular Shafts......Page 250
 *5.7 Thin-Walled Tubes Having Closed Cross Sections......Page 253
 5.8 Stress Concentration......Page 263
 *5.9 Inelastic Torsion......Page 266
 *5.10 Residual Stress......Page 268
 6.1 Shear and Moment Diagrams......Page 284
 6.2 Graphical Method for Constructing Shear and Moment Diagrams......Page 291
 6.3 Bending Deformation of a Straight Member......Page 310
 6.4 The Flexure Formula......Page 314
 6.5 Unsymmetric Bending......Page 331
 *6.6 Composite Beams......Page 341
 *6.7 Reinforced Concrete Beams......Page 344
 *6.8 Curved Beams......Page 348
 6.9 Stress Concentrations......Page 355
 *6.10 Inelastic Bending......Page 365
 7.1 Shear in Straight Members......Page 388
 7.2 The Shear Formula......Page 389
 7.3 Shear Flow in Built-Up Members......Page 407
 7.4 Shear Flow in Thin-Walled Members......Page 416
 *7.5 Shear Center for Open Thin-Walled Members......Page 421
 8.1 Thin-Walled Pressure Vessels......Page 434
 8.2 State of Stress Caused by Combined Loadings......Page 441
 9.1 Plane-Stress Transformation......Page 466
 9.2 General Equations of Plane-Stress Transformation......Page 471
 9.3 Principal Stresses and Maximum in-Plane Shear Stress......Page 474
 9.4 Mohr's Circle—Plane Stress......Page 490
 9.5 Absolute Maximum Shear Stress......Page 502
 10.1 Plane Strain......Page 514
 10.2 General Equations of Plane-Strain Transformation......Page 515
 *10.3 Mohr’s Circle—Plane Strain......Page 523
 *10.4 Absolute Maximum Shear Strain......Page 531
 10.5 Strain Rosettes......Page 533
 10.6 Material Property Relationships......Page 537
 *10.7 T Heories of Failure......Page 549
 11.1 Basis for Beam Design......Page 566
 11.2 Prismatic Beam Design......Page 569
 *11.3 Fully Stressed Beams......Page 583
 *11.4 Shaft Design......Page 587
 12.1 The Elastic Curve......Page 598
 12.2 Slope and Displacement by Integration......Page 602
 *12.3 Discontinuity Functions......Page 620
 *12.4 Slope and Displacement by the Moment-Area Method......Page 632
 12.5 Method of Superposition......Page 647
 12.6 Statically Indeterminate Beams and Shafts......Page 655
 12.7 Statically Indeterminate Beams and Shafts—Method of Integration......Page 656
 *12.8 Statically Indeterminate Beams and Shafts— Moment-Area Method......Page 661
 12.9 Statically Indeterminate Beams and Shafts—Method of Superposition......Page 667
 13.1 Critical Load......Page 686
 13.2 Ideal Column with Pin Supports......Page 689
 13.3 Columns Having Various Types of Supports......Page 695
 *13.4 The Secant Formula......Page 707
 *13.5 Inelastic Buckling......Page 713
 *13.6 Design of Columns for Concentric Loading......Page 721
 *13.7 Design of Columns for Ecentric Loading......Page 731
 14.1 External Work and Strain Energy......Page 744
 14.2 Elastic Strain Energy for Various Types of Loading......Page 749
 14.3 Conservation of Energy......Page 762
 14.4 Impact Loading......Page 769
 *14.5 Principle of Virtual Work......Page 780
 *14.6 Method of Virtual Forces Applied to Trusses......Page 783
 *14.7 Method of Virtual Forces Applied to Beams......Page 791
 *14.8 Castigliano’s Theorem......Page 800
 *14.9 Castigliano’s Theorem Applied to Trusses......Page 802
 *14.10 Castigliano’s Theorem Applied to Beams......Page 805
 A Geometric Properties of an Area......Page 813
 B Geometric Properties of Structural Shapes......Page 827
 C Slopes and Deflections of Beams......Page 832
Solutions and Answers for Preliminary Problems......Page 834
Fundamental Problems Partial Solutions and Answers......Page 844
Selected Answers......Page 866
Index......Page 886
Equations and Tables......Page 896
Back Cover......Page 899