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Tension, Compression, and Shear | |
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Introduction to Mechanics of Material | |
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Statics Review | |
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Normal Stress and Strain | |
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Mechanical Properties of Materials | |
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Elasticity, Plasticity, and Creep | |
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Linear Elasticity, Hooke's Law, and Poisson's Ratio | |
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Shear Stress and Strain | |
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Allowable Stresses and Allowable Loads | |
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Design for Axial Loads and Direct Shear | |
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Axially Loaded Members | |
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Introduction | |
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Changes in lengths of Axially Loaded Members | |
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Changes in Lengths under Nonuniform Conditions | |
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Statically Indeterminate Structures | |
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Thermal Effects, Misfits, and Prestrains | |
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Stresses on Inclined Sections | |
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Strain Energy | |
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Impact Loading | |
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Repeated Loading and Fatigue | |
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Stress Concentrations | |
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Nonlinear Behavior | |
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Elastoplastic Analysis | |
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Torsion | |
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Introduction | |
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Torsional Deformations of a Circular Bar | |
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Circular Bars of Linearly Elastic Materials | |
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Nonuniform Torsion | |
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Stresses and Strains in Pure Shear | |
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Relationship Between Moduli of Elasticity E and G | |
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Transmission of Power by Circular Shafts | |
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Statically Indeterminate Torsional Members | |
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Strain Energy in Torsion and Pure Shear | |
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Torsion of Noncircular Prismatic Shafts | |
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Thin-Walled Tubes | |
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Stress Concentration in Torsion | |
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Shear Forces and Bending Moments | |
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Introduction | |
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Types of Beams, Loads, and Reactions | |
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Shear Forces and Bending Moments | |
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Relationship Between Loads, Shear Forces and Bending Moments | |
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Shear-Force and Bending-Moment Diagrams | |
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Stresses in Beams (Basic Topics) | |
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Introduction | |
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Pure Bending and Nonuniform Bending | |
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Curvature of Beam | |
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Longitudinal Strains in Beams | |
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Normal Stress in Beams (Linearly Elastic Materials) | |
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Design of Beams for Bending Stresses | |
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Nonprismatic Beams | |
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Shear Stresses in Beams of Rectangular Cross Section | |
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Shear Stresses in Beams of Circular Cross Section | |
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Shear Stresses in the Webs of Beams with Flanges | |
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Built-Up Beams and Shear Flow | |
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Beams with Axial Loads | |
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Stress Concentrations in Bending | |
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Stresses in Beams (Advanced Topics) | |
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Introduction | |
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Composite Beams | |
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Transformed-Section Method | |
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Doubly Symmetric Beams with Inclined Loads | |
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Bending of Unsymmetric Beams | |
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The Shear-Center Concept | |
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Shear Stresses in Beams of Thin-Walled Open Cross Sections | |
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Shear Stresses in Wide-Flange Beams | |
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Shear Centers of Thin-Walled Open Sections | |
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Elastoplastic Bending | |
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Analysis of Stress and Strain | |
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Introduction | |
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Plane Stress | |
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Principal Stresses and Maximum Shear Stresses | |
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Mohr's Circle for Plane Stress | |
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Hooke's Law for Plane Stress | |
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Triaxial Stress | |
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Plane Strain | |
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Applications of Plane Stress (Pressure Vessels, Beams, and Combined Loadings) | |
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Introduction | |
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Spherical Pressure Vessels | |
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Cylindrical Pressure Vessels | |
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Maximum Stresses in Beams | |
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Combined Loadings | |
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Deflections of Beams | |
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Introduction | |
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Differential Equations of the Deflection Curve | |
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Deflections by Integration of the Bending-Moment Equation | |
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Deflections by Integration of the Shear-Force and Load Equations | |
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Method of Superposition | |
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Moment-Area Method | |
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Nonprismatic Beams | |
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Strain Energy of Bending | |
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Castigliano's Theorem | |
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Deflections produced by Impact | |
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Temperature Effects | |
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Statically Indeterminate Beams | |
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Introduction | |
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Types of Statically Indeterminate Beams | |
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Analysis by the Differential Equations of the Deflection Curve | |
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Method of Superposition | |
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Temperature Effects | |
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Longitudinal Displacements at the End of a Beam | |
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Columns | |
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Introduction | |
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Buckling and Stability | |
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Columns with Pinned Ends | |
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Columns with Other Support Conditions | |
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Columns with Eccentric Axial Loads | |
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The Secant Formula for Columns | |
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Elastic and Inelastic Column Behavior | |
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Inelastic Buckling | |
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Design Formulas for Columns | |
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Review of Centroids and Moments of Inertia | |
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Introduction | |
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Centroids of Plane Areas | |
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Centroids of Composite Areas | |
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Moments of Inertia of Plane Areas | |
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Parallel-Axis Theorem for Moments of Inertia | |
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Polar Moments of Inertia | |
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Products of Inertia | |
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Rotation of Axes | |
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Principal Axes and Principal Moments of Inertia | |
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References and Historical Notes | |
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Fe Exam Review Problems | |
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Problem Solving | |
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Mathematical Formulas | |
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Appendix | |