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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 | |