1: Bending of Simply Supported Rectangular Plates.- 1-1 Introduction.- 1-2 Strain--Deflection Equations.- 1-3 Stress--Deflection Expressions.- 1-4 Force-Stress Expressions.- 1-5 Governing Differential Equations.- 1-6 Boundary Conditions.- 1-7 Double Series Solution of Simply Supported Plates.
- 1-8 Single Series Solution of Simply Supported Plates.- 1-9 Design of Rectangular Plates.- 2: Bending of Various Rectangular Plates.- 2-1 Plates with Various Boundary Conditions.- 2-2 Continuous Plates.- 2-3 Plates on an Elastic Foundation.- 2-4 Thermal Stress.- 2-5 Design of Various Rectangular Plates.
- 3: Bending of Circular Plates.- 3-1 Plates Subjected to Uniform Loads in the ?-Direction.- 3-2 Plates with Variable Thickness and Subjected to Uniform Loads in the ?-Direction.- 3-3 Plates Subjected to Nonuniform Loads in the ?-Direction.- 3-4 Plates on an Elastic Foundation.- 3-5 Plates with Variable Boundary Conditions.- 3-6 Design of Circular Plates.- 4: Approximate Analysis of Plates.
- 4-1 The Strain Energy (Ritz) Method.- 4-2 Yield Line Theory.- 4-3 Further Application of the Yield Line Theory.- 4-4 Design Concepts.- 5: Plates of Various Shapes and Properties.- 5-1 Introduction.- 5-2 Elliptic Plates.- 5-3 Triangular Plates.
- 5-4 Orthotropic Plate Theory.- 5-5 Orthotropic Materials and Structural Components.- 5-6 Design of Plates with Various Shapes and Properties.- 6: Membrane Theory of Shells of Revolution.- 6-1 Basic Equations of Equilibrium.- 6-2 Ellipsoidal and Spherical Shells Subjected to Axisymmetric Loads.- 6-3 Conical Shells.- 6-4 Wind Loads.
- 6-5 Design of Shells of Revolution.- 7: Various Applications of the Membrane Theory.- 7-1 Analysis of Multi-Component Structures.- 7-2 Pressure-Area Method of Analysis.- 7-3 One-Sheet Hyperboloids.- 7-4 Deflection Due toAxisymmetric Loads.- 8: Bending of Thin Cylindrical Shells Due to Axisymmetric Loads.- 8-1 Basic Equations.
- 8-2 Long Cylindrical Shells.- 8-3 Long Cylindrical Shells with End Loads.- 8-4 Short Cylindrical Shells.- 8-5 Stress Due to Thermal Gradients in the Axial Direction.- 8-6 Discontinuity Stresses.- 9: Bending of Shells of Revolution Due to Axisymmetric Loads.- 9-1 Basic Equations.- 9-2 Spherical Shells.
- 9-3 Conical Shells.- 9-4 Design Considerations.- 10: Buckling of Plates.- 10-1 Circular Plates.- 10-2 Rectangular Plates.- 10-3 Plates with Various Boundary Conditions.- 10-4 Application of Buckling Expressions to Design Problems.- 11: Buckling of Cylindrical Shells.
- 11-1 Basic Equations.- 11-2 Lateral Pressure.- 11-3 Lateral and End Pressure.- 11-4 Axial Compression.- 11-5 Donnell's Equations.- 11-6 Design Equations.- 12: Buckling of Shells of Revolution.- 12-1 Buckling of Spherical Shells.
- 12-2 Buckling of Stiffened Spherical Shells.- 12-3 Buckling of Conical Shells.- 12-4 Design Considerations.- 13: Roof Structures.- 13-1 Introduction.- 13-2 Hyperbolic Paraboloid Shells.- 13-3 Elliptic Paraboloid Shells.- 13-4 Folded Plates.
- 13-5 Barrel Roofs.- 14: Basic Finite Element Equations.- 14-1 Definitions.- 14-2 One-Dimensional Elements.- 14-3 Linear Triangular Elements.- 14-4 Axisymmetric Triangular Linear Elements.- 14-5 Higher Order Elements.- Answers to Selected Problems.
- References.