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Copyright, iv
Preface, vii
1. Stress, 2
Chapter Objectives, 3
1.1. Introduction, 3
1.2. Equilibrium of a Deformable Body, 4
1.3. Stress, 22
1.4. Average Normal Stress in an Axially Loaded Bar, 24
1.5. Average Shear Stress, 32
1.6. Allowable Stress, 48
2. Strain, 68
Chapter Objectives, 69
2.1. Deformation, 69
2.2. Strain, 70
3. Mechanical Properties of Materials, 84
Chapter Objectives, 85
3.1. The Tension and Compression Test, 85
3.2. The Stress–Strain Diagram, 87
3.3. Stress–Strain Behavior of Ductile and Brittle Materials, 91
3.4. Hooke’s Law, 94
3.5. Strain Energy, 96
3.6. Poisson’s Ratio, 108
3.7. The Shear Stress–Strain Diagram, 110
*3.8. Failure of Materials Due to Creep and Fatigue, 113
4. Axial Load, 124
Chapter Objectives, 125
4.1. Saint-Venant’s Principle, 125
4.2. Elastic Deformation of an Axially Loaded Member, 128
4.3. Principle of Superposition, 142
4.4. Statically Indeterminate Axially Loaded Member, 143
4.5. The Force Method of Analysis for Axially Loaded Members, 149
4.6. Thermal Stress, 158
4.7. Stress Concentrations, 166
*4.8. Inelastic Axial Deformation, 172
*4.9. Residual Stress, 177
5. Torsion, 190
Chapter Objectives, 191
5.1. Torsional Deformation of a Circular Shaft, 191
5.2. The Torsion Formula, 194
5.3. Power Transmission, 203
5.4. Angle of Twist, 212
5.5. Statically Indeterminate Torque-Loaded Members, 227
*5.6. Solid Noncircular Shafts, 234
*5.7. Thin-Walled Tubes Having Closed Cross Sections, 237
5.8. Stress Concentration, 248
*5.9. Inelastic Torsion, 251
*5.10. Residual Stress, 258
6. Bending, 270
Chapter Objectives, 271
6.1. Shear and Moment Diagrams, 271
6.2. Graphical Method for Constructing Shear and Moment Diagrams, 280
6.3. Bending Deformation of a Straight Member, 299
6.4. The Flexure Formula, 303
6.5. Unsymmetric Bending, 321
*6.6. Composite Beams, 333
*6.7. Reinforced Concrete Beams, 340
*6.8. Curved Beams, 342
6.9. Stress Concentrations, 352
*6.10. Inelastic Bending, 362
6.11. Residual Stress, 371
7. Transverse Shear, 384
Chapter Objectives, 385
7.1. Shear in Straight Members, 385
7.2. The Shear Formula, 387
7.3. Shear Stresses in Beams, 390
7.4. Shear Flow in Built-Up Members, 405
7.5. Shear Flow in Thin-Walled Members, 415
*7.6. Shear Center For Open Cross Sections, 420
8. Combined Loadings, 434
Chapter Objectives, 435
8.1. Thin-Walled Pressure Vessels, 435
8.2. State of Stress Caused by Combined Loadings, 442
9. Stress Transformation, 466
Chapter Objectives, 467
9.1. Plane-Stress Transformation, 467
9.2. General Equations of Plane-Stress Transformation, 472
9.3. Principal Stresses and Maximum In-Plane Shear Stress, 476
9.4. Mohr’s Circle—Plane Stress, 491
9.5. Stress in Shafts Due to Axial Load and Torsion, 500
9.6. Stress Variations Throughout a Prismatic Beam, 501
9.7. Absolute Maximum Shear Stress, 508
10. Strain Transformation, 520
Chapter Objectives, 521
10.1. Plane Strain, 521
10.2. General Equations of Plane-Strain Transformation, 523
*10.3. Mohr’s Circle—Plane Strain, 530
*10.4. Absolute Maximum Shear Strain, 538
10.5. Strain Rosettes, 541
10.6. Material-Property Relationships, 545
*10.7. Theories of Failure, 557
11. Design of Beams and Shafts, 574
Chapter Objectives, 575
11.1. Basis for Beam Design, 575
11.2. Prismatic Beam Design, 577
*11.3. Fully Stressed Beams, 591
*11.4. Shaft Design, 595
12. Deflection of Beams and Shafts, 606
Chapter Objectives, 607
12.1. The Elastic Curve, 607
12.2. Slope and Displacement by Integration, 611
*12.3. Discontinuity Functions, 629
*12.4. Slope and Displacement by the Moment-Area Method, 640
12.5. Method of Superposition, 655
12.6. Statically Indeterminate Beams and Shafts, 663
12.7. Statically Indeterminate Beams and Shafts—Method of Integration, 664
*12.8. Statically Indeterminate Beams and Shafts—Moment-Area Method, 669
12.9. Statically Indeterminate Beams and Shafts—Method of Superposition, 675
13. Buckling of Columns, 692
Chapter Objectives, 693
13.1. Critical Load, 693
13.2. Ideal Column with Pin Supports, 696
13.3. Columns Having Various Types of Supports, 703
*13.4. The Secant Formula, 715
*13.5. Inelastic Buckling, 723
*13.6. Design of Columns for Concentric Loading, 730
*13.7. Design of Columns for Eccentric Loading, 742
14. Energy Methods, 754
Chapter Objectives, 755
14.1. External Work and Strain Energy, 755
14.2. Elastic Strain Energy for Various Types of Loading, 760
14.3. Conservation of Energy, 775
14.4. Impact Loading, 782
*14.5. Principle of Virtual Work, 793
*14.6. Method of Virtual Forces Applied to Trusses, 797
*14.7. Method of Virtual Forces Applied to Beams, 805
*14.8. Castigliano’s Theorem, 815
*14.9. Castigliano’s Theorem Applied to Trusses, 817
*14.10. Castigliano’s Theorem Applied to Beams, 821
A. Geometric Properties of an Area, 830
A.1. Centroid of an Area, 830
A.2. Moment of Inertia for an Area, 833
A.3. Product of Inertia for an Area, 837
A.4. Moments of Inertia for an Area about Inclined Axes, 840
A.5. Mohr’s Circle for Moments of Inertia, 843
B. Geometric Properties of Structural Shapes, 849
C. Slopes and Deflections of Beams, 857
D. Review for the Fundamentals of Engineering Examination, 859
Answers to Selected Problems, 879
Index, 898
Fundamental Equations of Mechanics of Materials, IFC-1
Average Mechanical Properties of Typical Engineering Materials(U.S. Customary Units), IBC-1
Average Mechanical Properties of Typical Engineering Materials(SI Units), IBC-2

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