Chapter 1: Stress
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1.1 Introduction
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1.2 Equilibrium of a Deformable Body
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1.3 Stress
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1.4 Average Normal Stress in an Axially Loaded Bar
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1.5 Average Shear Stress
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1.6 Allowable Stress
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1.7 Design of Simple Connections
Chapter 2: Strain
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2.1 Deformation
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2.2 Strain
Chapter 3: Mechanical Properties of Materials
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3.1 The Tension and Compression Test
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3.2 The Stress–Strain Diagram
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3.3 Stress–Strain Behavior of Ductile and Brittle Materials
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3.4 Hooke’s Law
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3.5 Strain Energy
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3.6 Poisson’s Ratio
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3.7 The Shear Stress–Strain Diagram
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3.8 Failure of Materials Due to Creep and Fatigue
Chapter 4: Axial Load
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4.1 Saint-Venant’s Principle
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4.2 Elastic Deformation of an Axially Loaded Member
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4.3 Principle of Superposition
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4.4 Statically Indeterminate Axially Loaded Member
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4.5 The Force Method of Analysis for Axially Loaded Members
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4.6 Thermal Stress
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4.7 Stress Concentrations
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4.8 Inelastic Axial Deformation
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4.9 Residual Stress
Chapter 5: Torsion
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5.1 Torsional Deformation of a Circular Shaft
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5.2 The Torsion Formula
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5.3 Power Transmission
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5.4 Angle of Twist
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5.5 Statically Indeterminate Torque-Loaded Members
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5.6 Solid Noncircular Shafts
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5.7 Thin-Walled Tubes Having Closed Cross Sections
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5.8 Stress Concentration
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5.9 Inelastic Torsion
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5.10 Residual Stress
Chapter 6: Bending
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6.1 Shear and Moment Diagrams
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6.2 Graphical Method for Constructing Shear and Moment Diagrams
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6.3 Bending Deformation of a Straight Member
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6.4 The Flexure Formula
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6.5 Unsymmetric Bending
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6.6 Composite Beams
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6.7 Reinforced Concrete Beams
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6.8 Curved Beams
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6.9 Stress Concentrations
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6.10 Inelastic Bending
Chapter 7: Transverse Shear
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7.1 Shear in Straight Members
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7.2 The Shear Formula
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7.3 Shear Flow in Built-Up Members
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7.4 Shear Flow in Thin-Walled Members
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7.5 Shear Center for Open Thin-Walled Members
Chapter 8: Combined Loadings
Chapter 9: Stress Transformation
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9.1 Plane-Stress Transformation
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9.2 General Equations of Plane-Stress Transformation
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9.3 Principal Stresses and Maximum In-Plane Shear Stress
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9.4 Mohr’s Circle—Plane Stress
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9.5 Absolute Maximum Shear Stress
Chapter 10: Strain Transformation
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10.1 Plane Strain
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10.2 General Equations of Plane-Strain Transformation
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10.3 Mohr’s Circle—Plane Strain
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10.4 Absolute Maximum Shear Strain
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10.5 Strain Rosettes
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10.6 Material-Property Relationships
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10.7 Theories of Failure
Chapter 11: Design of Beams and Shafts
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11.1 Basis for Beam Design
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11.2 Prismatic Beam Design
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11.3 Fully Stressed Beams
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11.4 Shaft Design
Chapter 12: Deflection of Beams and Shafts
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12.1 The Elastic Curve
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12.2 Slope and Displacement 12 by Integration
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12.3 Discontinuity Functions
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12.4 Slope and Displacement by the Moment-Area Method
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12.5 Method of Superposition
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12.6 Statically Indeterminate Beams and Shafts
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12.7 Statically Indeterminate Beams and Shafts—Method of Integration
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12.8 Statically Indeterminate Beams and Shafts—Moment-Area Method
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12.9 Statically Indeterminate Beams and Shafts—Method of Superposition
Chapter 13: Buckling of Columns
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13.1 Critical Load
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13.2 Ideal Column with Pin Supports
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13.3 Columns Having Various Types of Supports
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13.4 The Secant Formula
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13.5 Inelastic Buckling
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13.6 Design of Columns for Concentric Loading
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13.7 Design of Columns for Eccentric Loading
Chapter 14: Energy Methods
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14.1 External Work and Strain Energy
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14.2 Elastic Strain Energy for Various Types of Loading
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14.3 Conservation of Energy
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14.4 Impact Loading
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14.5 Principle of Virtual Work
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14.6 Method of Virtual Forces Applied to Trusses
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14.7 Method of Virtual Forces Applied to Beams
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14.8 Castigliano’s Theorem
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14.9 Castigliano’s Theorem Applied to Trusses
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14.10 Castigliano’s Theorem Applied to Beams
Appendix A: Geometric Properties of An Area
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A.1 Centroid of an Area
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A.2 Moment of Inertia for an Area
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A.3 Product of Inertia for an Area
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A.4 Moments of Inertia for an Area about Inclined Axes
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A.5 Mohr’s Circle for Moments of Inertia
Appendix B: Geometric Properties of Structural Shapes
Appendix C: Slopes and Deflections of Beams