# Design of Plate and Shell Structures

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### Description

This exciting text is written primarily for professional engineers interested in designing plate and shell structures. It covers basic aspects of theories and gives examples for the design of components due to internal and external loads as well as other loads such as wind and dead loads. Various derivations are kept relatively simple and the resultant equations are simplified to a level where the engineer may apply them directly to design problems. More elaborate derivations and more general equations may be found in the literature for those interested in a more in--depth knowledge of the theories of plates and shells. COMPLETE CONTENTS* Bending of simply supported rectangular plates* Bending of various rectangular plates* Bending of circular plates* Plates of various shapes and properties* Approximate analysis of plates* Buckling of plates* Vibration of plates* Membrane theory of shells of revolution* Various applications of the membrane theory* Bending of thin cylindrical shells due to axisymmetric loads, Various structures* Buckling of cylindrical shells* Buckling of shells of revolution* Vibration of shells* Basic finite element equations. The examples given throughout Design of Plate and Shell Structures are intended to show the engineer the level of analysis needed to achieve a safe design based on a given required degree of accuracy. The book is also appropriate for advanced engineering courses.

### Contents

Preface xi; Acknowledgements xiii; Abbreviations for Organizations xv; Chapter 1: Bending of Simply Supported Rectangular Plates 1; 1-1 Introduction 1; 1-2 Strain-Deflection Equations 3; 1-3 Stress-Deflection Expressions 7; 1-4 Force-Stress Expressions 10; 1-5 Governing Differential Equations 13; 1-6 Boundary Conditions 16; 1-7 Double Series Solution of Simply Supported Plates 24; 1-8 Single Series Solution of Simply Supported Plates 28; 1-9 Design of Rectangular Plates 32; Chapter 2: Bending of Various Rectangular Plates 38; 2-1 Plates with Various Boundary Conditions 38; 2-2 Continuous Plates 49; 2-3 Plates on an Elastic Foundation 55; 2-4 Thermal Stress 59; 2-5 Design of Various Rectangular Plates 64; Chapter 3: Bending of Circular Plates 66; 3-1 Plates Subjected to Uniform Loads in the [theta]-Direction 66; 3-2 Plates with Variable Thickness and Subjected to Uniform Loads in the [theta]-Direction 80; 3-3 Plates Subjected to Nonuniform Loads in the [theta]-Direction 86; 3-4 Plates on an Elastic Foundation 93; 3-5 Plates with Variable Boundary Conditions 98; 3-6 Design of Circular Plates 103; Chapter 4: Plates of Various Shapes and Properties 104; 4-1 Introduction 104; 4-2 Elliptic Plates 104; 4-3 Triangular Plates 107; 4-4 Orthotropic Plate Theory 110; 4-5 Orthotropic Materials and Structural Components 115; 4-6 Design of Plates of Various Shapes and Properties 122; Chapter 5: Approximate Analysis of Plates 124; 5-1 The Strain Energy (Ritz) Method 124; 5-2 Yield Line Theory 132; 5-3 Further Application of the Yield Line Theory 142; 5-4 Finite Difference Method 151; 5-5 Design Concepts 162; Chapter 6: Buckling of Plates 167; 6-1 Circular Plates 167; 6-2 Rectangular Plates 171; 6-3 Rectangular Plates with Various Boundary Conditions 178; 6-4 Finite Difference Equations for Buckling 183; 6-5 Other Aspects of Buckling 185; 6-6 Application of Buckling Expressions to Design Problems 188; Chapter 7: Vibration of Plates 192; 7-1 Introduction 192; 7-2 General Equations for Rectangular Plates 192; 7-3 Simply Supported Rectangular Plates 196; 7-4 Rectangular Plates with Various Boundary Conditions 199; 7-5 Circular Plates 201; Chapter 8: Membrane Theory of Shells of Revolution 202; 8-1 Basic Equations of Equilibrium 202; 8-2 Ellipsoidal and Spherical Shells Subjected to Axisymmetric Loads 208; 8-3 Conical Shells 219; 8-4 Cylindrical Shells 223; 8-5 Wind Loads 226; 8-6 Design of Shells of Revolution 230b; Chapter 9: Various Applications of the Membrane Theory 233; 9-1 Analysis of Multi-Component Structures 233; 9-2 Pressure-Area Method of Analysis 242; 9-3 One-Sheet Hyperboloids 251; 9-4 Deflection Due to Axisymmetric Loads 258; 10: Bending of Thin Cylindrical Shells Due to Axisymmetric Loads 263; 10-1 Basic Equations 263; 10-2 Long Cylindrical Shells 268; 10-3 Long Cylindrical Shells with End Loads 277; 10-4 Short Cylindrical Shells 283; 10-5 Stress Due to Thermal Gradients in the Axial Direction 286; 10-6 Stress Due to Thermal Gradients in the Radial Di

### Product Details

• ISBN13: 9781860583322
• Format: Hardback
• Number Of Pages: 476
• ID: 9781860583322
• weight: 802
• ISBN10: 1860583326

### Delivery Information

• Saver Delivery: Yes
• 1st Class Delivery: Yes
• Courier Delivery: Yes
• Store Delivery: Yes

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