Design of Plate and Shell Structures,9780791801994

Design of Plate and Shell Structures

by
ISBN13: 9780791801994
ISBN10: 0791801993
Format: Hardcover
Pub. Date: 2004-01-01
Publisher(s): Amer Society of Mechanical
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Table of Contents

Preface xi
Acknowledgements xiii
Abbreviations for Organizations xv
Bending of Simply Supported Rectangular Plates
1(37)
Introduction
1(2)
Strain-Deflection Equations
3(4)
Stress-Deflection Expressions
7(3)
Force-Stress Expressions
10(3)
Governing Differential Equations
13(3)
Boundary Conditions
16(8)
Double Series Solution of Simply Supported Plates
24(4)
Single Series Solution of Simply Supported Plates
28(4)
Design of Rectangular Plates
32(6)
Bending of Various Rectangular Plates
38(28)
Plates with Various Boundary Conditions
38(11)
Continuous Plates
49(6)
Plates on an Elastic Foundation
55(4)
Thermal Stress
59(5)
Design of Various Rectangular Plates
64(2)
Bending of Circular Plates
66(38)
Plates Subjected to Uniform Loads in the θ-Direction
66(14)
Plates with Variable Thickness and Subjected to Uniform Loads in the θ-Direction
80(6)
Plates Subjected to Nonuniform Loads in the θ-Direction
86(7)
Plates on an Elastic Foundation
93(5)
Plates with Variable Boundary Conditions
98(5)
Design of Circular Plates
103(1)
Plates of Various Shapes and Properties
104(20)
Introduction
104(1)
Elliptic Plates
104(3)
Triangular Plates
107(3)
Orthotropic Plate Theory
110(5)
Orthotropic Materials and Structural Components
115(7)
Design of Plates of Various Shapes and Properties
122(2)
Approximate Analysis of Plates
124(43)
The Strain Energy (Ritz) Method
124(8)
Yield Line Theory
132(10)
Further Application of the Yield Line Theory
142(9)
Finite Difference Method
151(11)
Design Concepts
162(5)
Buckling of Plates
167(25)
Circular Plates
167(4)
Rectangular Plates
171(7)
Rectangular Plates with Various Boundary Conditions
178(5)
Finite Difference Equations for Buckling
183(2)
Other Aspects of Buckling
185(3)
Application of Buckling Expressions to Design Problems
188(4)
Vibration of Plates
192(10)
Introduction
192(1)
General Equations for Rectangular Plates
192(4)
Simply Supported Rectangular Plates
196(3)
Rectangular Plates with Various Boundary Conditions
199(2)
Circular Plates
201(1)
Membrane Theory of Shells of Revolution
202(31)
Basic Equations of Equilibrium
202(6)
Ellipsoidal and Spherical Shells Subjected to Axisymmetric Loads
208(11)
Conical Shells
219(4)
Cylindrical Shells
223(3)
Wind Loads
226(4)
Design of Shells of Revolution
230(3)
Various Applications of the Membrane Theory
233(30)
Analysis of Multi-Component Structures
233(9)
Pressure-Area Method of Analysis
242(9)
One-Sheet Hyperboloids
251(7)
Deflection Due to Axisymmetric Loads
258(5)
Bending of Thin Cylindrical Shells Due to Axisymmetric Loads
263(36)
Basic Equations
263(5)
Long Cylindrical Shells
268(9)
Long Cylindrical Shells with End Loads
277(6)
Short Cylindrical Shells
283(3)
Stress Due to Thermal Gradients in the Axial Direction
286(3)
Stress Due to Thermal Gradients in the Radial Direction
289(7)
Discontinuity Stresses
296(3)
Bending of Shells of Revolution Due to Axisymmetric Loads
299(32)
Basic Equations
299(7)
Spherical Shells
306(12)
Conical Shells
318(10)
Design Considerations
328(3)
Various Structures
331(17)
Introduction
331(4)
Hyperbolic Paraboloid Shells
335(2)
Elliptic Paraboloid Shells
337(2)
Folded Plates
339(7)
Barrel Roofs
346(2)
Buckling of Cylindrical Shells
348(38)
Basic Equations
348(5)
Lateral Pressure
353(6)
Lateral and End Pressure
359(3)
Axial Compression
362(6)
Donnell's Equations
368(6)
Design Equations
374(12)
Buckling of Shells of Revolution
386(12)
Buckling of Spherical Shells
386(4)
Buckling of Stiffened Spherical Shells
390(2)
Buckling of Conical Shells
392(4)
Design Considerations
396(2)
Vibration of Shells
398(11)
Cylindrical Shells
398(8)
Spherical Shells
406(3)
Basic Finite Element Equations
409(24)
Definitions
409(5)
One-Dimensional Elements
414(7)
Linear Triangular Elements
421(8)
Axisymmetric Triangular Linear Elements
429(3)
Higher Order Elements
432(1)
Appendix A: Fourier Series 433(12)
Appendix B: Bessel Functions 445(8)
Appendix C: Matrix Operations 453(12)
Appendix D: Conversion Factors 465(1)
Answers to Selected Problems 466(4)
References 470(4)
Index 474

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