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Preface to the Fourth Edition | |

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List of Symbols | |

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Analysis of Stress | |

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Introduction | |

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Scope of Treatment | |

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Definition of Stress | |

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Components of Stress: Stress Tensor | |

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Some Special Cases of Stress | |

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Internal Force-Resultant and Stress Relations | |

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Stresses on Inclined Planes in an Axially Loaded Member | |

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Variation of Stress within a Body | |

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Two-Dimensional Stress at a Point | |

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Principal Stresses and Maximum Shear Stress in Two Dimensions | |

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Mohr's Circle for Two-Dimensional Stress | |

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Three-Dimensional Stress at a Point | |

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Principal Stresses in Three Dimensions | |

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Normal and Shear Stresses on an Oblique Plane | |

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Mohr's Circle for Three-Dimensional Stress | |

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Boundary Conditions in Terms of Surface Forces | |

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Problems | |

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Strain and Stress-Strain Relations | |

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Introduction | |

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Deformation | |

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Strain Defined | |

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Equations of Compatibility | |

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State of Strain at a Point | |

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Engineering Materials | |

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Stress-Strain Diagrams | |

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Hooke's Law and Poisson's Ratio | |

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Generalized Hooke's Law | |

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Measurement of Strain: Bonded Strain Gages | |

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Strain Energy | |

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Strain Energy in Common Structural Members | |

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Components of Strain Energy | |

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Saint-Venant's Principle | |

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Problems | |

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Two-Dimensional Problems in Elasticity | |

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Introduction | |

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Fundamental Principles of Analysis | |

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Formulation and Methods of Solution | |

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Plane Strain Problems | |

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Plane Stress Problems | |

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Airy's Stress Function | |

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Solution of Elasticity Problems | |

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Thermal Stresses | |

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Basic Relations in Polar Coordinates | |

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Stress Concentrations | |

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Stresses Due to Concentrated Loads | |

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Stress Distribution near Concentrated Load Acting on a Beam | |

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Stress Concentration Factors | |

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Neuber's Diagram | |

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Contact Stresses | |

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Problems | |

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Failure Criteria | |

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Introduction | |

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Failure | |

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Failure by Yielding | |

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Failure by Fracture | |

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Yield and Fracture Criteria | |

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Maximum Shearing Stress Theory | |

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Maximum Distortion Energy Theory | |

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Octahedral Shearing Stress Theory | |

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Comparison of the Yielding Theories | |

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Maximum Principal Stress Theory | |

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Mohr's Theory | |

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Coulomb-Mohr Theory | |

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Introductory Fracture Mechanics | |

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Failure Criteria for Metal Fatigue | |

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Fatigue Life under Combined Loading | |

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Impact or Dynamic Loads | |

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Dynamic and Thermal Effects | |

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Problems | |

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Bending of Beams | |

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Introduction | |

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Exact Solutions | |

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Pure Bending of Beams of Symmetrical Cross Section | |

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Pure Bending of Beams of Asymmetrical Cross Section | |

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Bending of a Cantilever of Narrow Section | |

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Bending of a Simply Supported, Narrow Beam | |

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Approximate Solutions | |

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Elementary Theory of Bending | |

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Bending and Shearing Stresses | |

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Effect of Transverse Normal Stress | |

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Composite Beams | |

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Shear Center | |

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Statically Indeterminate Systems | |

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Energy Method for Deflections | |

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Curved Beams | |

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Exact Solution | |

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Tangential Stress. Winkler's Theory | |

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Combined Tangential and Normal Stresses | |

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Problems | |

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Torsion of Prismatic Bars | |

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Introduction | |

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Elementary Theory of Torsion of Circular Bars | |

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General Solution of the Torsion Problem | |

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Prandtl's Stress Function | |

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Prandtl's Membrane Analogy | |

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Torsion of Thin-Walled Members of Open Cross Section | |

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Torsion of Multiply Connected Thin-Walled Sections | |

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Fluid Flow Analogy and Stress Concentration | |

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Torsion of Restrained Thin-Walled Members of Open Cross Section | |

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Curved Circular Bars: Helical Springs | |

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Problems | |

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Numerical Methods | |

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Introduction | |

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Finite Differences | |

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Finite Difference Equations | |

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Curved Boundaries | |

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Boundary Conditions | |

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Finite Element Method | |

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Properties of a Finite Element | |

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Formulation of the Finite Element Method | |

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Triangular Finite Element | |

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Use of Digital Computers | |

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Problems | |

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Axisymmetrically Loaded Members | |

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Introduction | |

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Thick-Walled Cylinders | |

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Maximum Tangential Stress | |

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Application of Failure Theories | |

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Compound Cylinders | |

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Rotating Disks of Constant Thickness | |

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Rotating Disks of Variable Thickness | |

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Rotating Disks of Uniform Stress | |

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Thermal Stresses in Thin Disks | |

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Thermal Stress in Long Circular Cylinders | |

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Finite Element Solution | |

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Formulation of Axisymmetric Element | |

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Problems | |

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Beams on Elastic Foundations | |

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Introduction | |

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General Theory | |

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Infinite Beams | |

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Semi-Infinite Beams | |

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Finite Beams: Classification of Beams | |

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Beams Supported by Equally Spaced Elastic Elements | |

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Simplified Solutions for Relatively Stiff Beams | |

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Solution by Finite Differences | |

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Applications | |

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Problems | |

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Energy Methods | |

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Introduction | |

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Work Done in Deformation | |

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Reciprocity Theorem | |

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Castigliano's Theorem | |

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Unit or Dummy Load Method | |

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Crotti-Engesser Theorem | |

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Statically Indeterminate Systems | |

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Principle of Virtual Work | |

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Principle of Minimum Potential Energy | |

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Application of Trigonometric Series | |

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Rayleigh-Ritz Method | |

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Problems | |

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Elastic Stability | |

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Introduction | |

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Critical Load | |

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Buckling of a Column | |

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End Conditions | |

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Critical Stress in a Column | |

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Allowable Stress | |

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Initially Curved Members | |

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Eccentrically Loaded Columns: Secant Formula | |

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Energy Methods Applied to Buckling | |

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Solution by Finite Differences | |

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Finite Difference Solution for Unevenly Spaced Nodes | |

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Problems | |

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Plastic Behavior of Materials | |

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Introduction | |

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Plastic Deformation | |

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True Stress-True Strain Curve in Simple Tension | |

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Instability in Simple Tension | |

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Plastic Deflection of Beams | |

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Analysis of Perfectly Plastic Beams | |

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Collapse Load of Structures | |

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Elastic-Plastic Torsion | |

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Elastic-Plastic Stresses in Rotating Disks | |

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Plastic Stress-Strain Relations | |

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Plastic Stress-Strain Increment Relations | |

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Stresses in Perfectly Plastic Thick-Walled Cylinders | |

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Problems | |

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Plates and Shells | |

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Bending of Thin Plates | |

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Basic Assumptions | |

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Strain-Curvature Relations | |

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Stress, Curvature, and Moment Relations | |

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Governing Equations of Plate Deflection | |

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Boundary Conditions | |

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Simply Supported Rectangular Plates | |

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Axisymmetrically Loaded Circular Plates | |

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Deflections of Rectangular Plates by the Strain Energy Method | |

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Finite Element Solution | |

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Membrane Stresses in Thin Shells | |

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Basic Assumptions | |

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Simple Membrane Action | |

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Symmetrically Loaded Shells of Revolution | |

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Some Common Cases of Shells of Revolution | |

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Cylindrical Shells of General Shape | |

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Problems | |

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Indicial Notation | |

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Solution of the Stress Cubic Equation | |

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Principal Stresses | |

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Direction Cosines | |

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Moments of Composite Areas | |

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Centroid | |

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Moments of Inertia | |

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Parallel-Axis Theorem | |

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Principal Moments of Inertia | |

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Tables | |

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Average Properties of Common Engineering Materials | |

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Conversion Factors: SI Units to U.S. Customary Units | |

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SI Unit Prefixes | |

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Deflections and Slopes of Beams | |

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References | |

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Answers to Selected Problems | |

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Index | |