Advanced Strength and Applied Elasticity

Fatigue. Fatigue Life under Combined Loading. Impact or Dynamic Loads. Dynamic and Thermal Effects. 5. Bending of Beams. Introduction. Part A-Exact Solutions. Pure Bending of Beams of Symmetrical Cross Section. Pure Bending of Beams of Asymmetrical Cross Section. Bending of a Cantilever of Narrow Section. Bending of a Simply Supported, Narrow Beam. Part B-Approximate Solutions. Elementary Theory of Bending. Bending and Shearing Stresses. Effect of Transverse Normal Stress. Composite Beams. Shear Center. Statically Indeterminate Systems. Energy Method for Deflections. Part C-Curved Beams. Exact Solution. Tangential Stress. Winkler's Theory. Combined Tangential and Normal Stresses. 6. Torsion of Prismatic Bars. Introduction. Elementary Theory of Torsion of Circular Bars. General Solution of the Torsion Problem. Prandtl's Stress Function. Prandtl's Membrane Analogy. Torsion of Thin-Walled Members of Open Cross Section. Torsion of Multiply Connected Thin-Walled Sections. Fluid Flow Analogy and Stress Concentration. Torsion of Restrained Thin-Walled Members of Open Cross Section. Curved Circular Bars: Helical Springs. 7. Numerical Methods. Introduction. Finite Differences. Finite Difference Equations. Curved Boundaries. Boundary Conditions. Finite Element Method. Properties of a Finite Element. Formulation of the Finite Element Method. Triangular Finite Element. Use of Digital Computers. 8. Axisymmetrically Loaded Members. Introduction. Thick-Walled Cylinders. Maximum Tangential Stress. Application of Failure Theories. Compound Cylinders. Rotating Disks of Constant Thickness. Rotating Disks of Variable Thickness. Rotating Disks of Uniform Stress. Thermal Stresses in Thin Disks. Thermal Stress in Long Circular Cylinders. Finite Element Solution. Formulation of Axisymmetric Element. 9. Beams on Elastic Foundations. Introduction. General Theory. Infinite Beams. Semi-Infinite Beams. Finite Beams: Classification of Beams. Beams Supported by Equally Spaced Elastic Elements. Simplified Solutions for Relatively Stiff Beams. Solution by Finite Differences. Applications. 10. Energy Methods. Introduction. Work Done in Deformation. Reciprocity Theorem. Castigliano's Theorem. Unit or Dummy Load Method. Crotti-Engesser Theorem. Statically Indeterminate Systems. Principle of Virtual Work. Principle of Minimum Potential Energy. Application of Trigonometric Series. Rayleigh-Ritz Method. 11. Elastic Stability. Introduction. Critical Load. Buckling of a Column. End Conditions. Critical Stress in a Column. Allowable Stress. Initially Curved Members Eccentrically Loaded Columns: Secant Formula. Energy Methods Applied to Buckling. Solution by Finite Differences. Finite Difference Solution for Unevenly Spaced Nodes. 12. Plastic Behavior of Materials. Introduction. Plastic Deformation. True Stress-True Strain Curve in Simple Tension. Instability in Simple Tension. Plastic Deflection of Beams. Analysis of Perfectly Plastic Beams. Collapse Load of Structures. Elastic-Plastic Torsion. Elastic-Plastic Stresses in Rotating Disks. Plastic Stress-Strain Relations. Plastic Stress-Strain Increment Relations. Stresses in Perfectly Plastic Thick-Walled Cylinders. 13. Plates and Shells. Part A-Bending of Thin Plates. Basic Assumptions. Strain-Curvature Relations. Stress, Curvature, and Moment Relations. Governing Equations of Plate Deflection. Boundary Conditions. Simply Supported Rectangular Plates. Axisymmetrically Loaded Circular Plates. Deflections of Rectangular Plates by the Strain Energy Method. Finite Element Solution. Part B-Membrane Stresses in Thin Shells. Basic Assumptions. Simple Membrane Action. Symmetrically Loaded Shells of Revolution. Some Common Cases of Shells of Revolution. Cylindrical Shells of General Shape. Appendix A. Indicial Notation.Appendix B. Solution of the Stress Cubic Equation. Principal Stresses. Direction Cosines. Appendix C. Moments of Composite Areas. Centroid. Moments of Inertia. Parallel-Axis Theorem. Principal Moments of Inertia. Appendix D. Tables. Average Properties of Common Engineering Materials. Conversion Factors: SI Units to U.S. Customary Units. SI Unit Prefixes. Deflections and Slopes of Beams. References.Answers to Selected Problems.Index.