Linear elastic theory of thin shells

Linear elastic theory of thin shells [electronic resource] / [by] J.E. Gibson.

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Linear Elastic Theory of Thin Shells.

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Bibliographic Details
Online Access: Full Text (via ScienceDirect)
Main Author: Gibson, J. E. (John Edward), 1921-
Format: Electronic eBook
Language:English
Published: Oxford ; New York : Pergamon Press, [1965]
Edition:[1st ed.]
Series:Commonwealth and international library. Structures and solid body mechanics division.
Subjects:
Shells (Engineering)
Elastic plates and shells.
Table of Contents:
  • Front Cover; Linear Elastic Theory of Thin Shells; Copyright Page; Table of Contents; PREFACE; CHAPTER1. GENERAL INTRODUCTION TO SHELL THEORY; 1.1. Introduction; 1.2. Reference Axes for Shell Surfaces; 1.3. Membrane Stress Resultants; 1.4. Bending Stress Resultants; 1.5. Membrane Theory for Circular Cylindrical Shell; 1.6. Horizontal Cylindrical Tank Supported at Ends; 1.7. Vertical Cylindrical Tank filled with Liquid; 1.8. Cantilever Cylindrical Shell Subjected to Gravitational Load; CHAPTER2. BENDING THEORY OF CLOSED CIRCULAR CYLINDRICAL SHELLS UNDER AXISYMMETRIC LOADS; 2.1. Introduction.
  • 2.2. Equations of Equilibrium2.3. Membrane Strains; 2.4. Bending Strains; 2.5. Combined Strain of z surface
  • 2.6. Strain-Stress Resultant Equations; 2.7. Strain Displacement Equations; 2.8. Curvature Displacement Equations; 2.9. Stress Resultant Displacement Equations; 2.10. Reduction to Compatibility Equation; 2.11. Solution of Compatibility Equation; 2.12. Cylindrical Tank filled with Liquid; 2.13. Cylindrical Pressure Vessel with Thick End Plates; 2.14. Numerical Examples; CHAPTER3. BENDING THEORY OF OPEN CIRCULAR CYLINDRICAL SHELLS; 3.1. Introduction; 3.2. Equations of Equilibrium.
  • 3.3. Strain Displacement Equations of the Middle Surface3.4. Curvature Displacement Equations of the Middle Surface; 3.5. Strain-Stress Resultant Equations; 3.6. Equation of Compatibility; 3.7. Solution of Equation for Simply Supported Open CylindricalShell; 3.8. Solution for SymmetricalLoading (Complementary Function); 3.9. Complementary Functions in Tabular Form; 3.10. Particular Integral for Uniform Load; 3.11. Boundary Conditions at a Free Edge; 3.12. Numerical Examples; CHAPTER 4. MEMBRANE THEORYFOR SHELLS OF REVOLUTION; 4.1. Introduction; 4.2. Equations of Equilibrium.
  • 4.3. Membrane Theory for Shells of Revolution under Axisymmetric Load4.4. Simply Supported Spherical Dome under Axisymmetrical Load; 4.5. Spherical Storage Tank; 4.6. Conical Shell; 4.7. Numerical Example; CHAPTER 5. BENDING THEORY FORSHELLS OF REVOLUTION UNDER AXISYMMETRIC; 5.1. Introduction; 5.2. Equations of Equilibrium; 5.3. Strain Displacement Equations of Middle Surface; 5.4. Curvature Displacement Equations of the Middle Surface; 5.5. Stress Resultant-Displacement Equations; 5.6. Spherical Shells under Axisymmetric Load.
  • 5.7. Simplified Theory for Spherical Shells under Axisymmetric Load5.8. Spherical Dome with Rigidly Fixed Edge; 5.9. Spherical Dome with Simply Supported Edge; 5.10. Comparison of Exact and Approximate Theories; 5.11. Numerical Example; CHAPTER6. MEMBRANE THEORY FOR SHELLS OF GENERAL SHAPE; 6.1. Introduction; 6.2. Geometry of Surface of General Shape; 6.3. Membrane Equations of Equilibrium; 6.4. Transformation of Equations of Equilibrium; 6.5. Solution of Transformed Equations of Equilibrium; 6.6. Hyperbolic Paraboloid; 6.7. Parabolic Conoid.

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