Design of Plate and Shell Structures

Design of Plate and Shell Structures

by Maan H. Jawad
     
 

ISBN-10: 0791801993

ISBN-13: 9780791801994

Pub. Date: 01/29/2003

Publisher: American Society of Mechanical Engineers

By Maan H. Jawad

This book 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

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Overview

By Maan H. Jawad

This book 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.

The examples given throughout this book are intended to show the engineer the level of analysis needed to achieve a safe design based on a given required degree of accuracy. This book is also appropriate for advanced engineering courses.

Product Details

ISBN-13:
9780791801994
Publisher:
American Society of Mechanical Engineers
Publication date:
01/29/2003
Pages:
400
Product dimensions:
6.20(w) x 9.30(h) x 1.20(d)

Table of Contents

Prefacexi
Acknowledgementsxiii
Abbreviations for Organizationsxv
Chapter 1Bending of Simply Supported Rectangular Plates1
1-1Introduction1
1-2Strain-Deflection Equations3
1-3Stress-Deflection Expressions7
1-4Force-Stress Expressions10
1-5Governing Differential Equations13
1-6Boundary Conditions16
1-7Double Series Solution of Simply Supported Plates24
1-8Single Series Solution of Simply Supported Plates28
1-9Design of Rectangular Plates32
Chapter 2Bending of Various Rectangular Plates38
2-1Plates with Various Boundary Conditions38
2-2Continuous Plates49
2-3Plates on an Elastic Foundation55
2-4Thermal Stress59
2-5Design of Various Rectangular Plates64
Chapter 3Bending of Circular Plates66
3-1Plates Subjected to Uniform Loads in the [theta]-Direction66
3-2Plates with Variable Thickness and Subjected to Uniform Loads in the [theta]-Direction80
3-3Plates Subjected to Nonuniform Loads in the [theta]-Direction86
3-4Plates on an Elastic Foundation93
3-5Plates with Variable Boundary Conditions98
3-6Design of Circular Plates103
Chapter 4Plates of Various Shapes and Properties104
4-1Introduction104
4-2Elliptic Plates104
4-3Triangular Plates107
4-4Orthotropic Plate Theory110
4-5Orthotropic Materials and Structural Components115
4-6Design of Plates of Various Shapes and Properties122
Chapter 5Approximate Analysis of Plates124
5-1The Strain Energy (Ritz) Method124
5-2Yield Line Theory132
5-3Further Application of the Yield Line Theory142
5-4Finite Difference Method151
5-5Design Concepts162
Chapter 6Buckling of Plates167
6-1Circular Plates167
6-2Rectangular Plates171
6-3Rectangular Plates with Various Boundary Conditions178
6-4Finite Difference Equations for Buckling183
6-5Other Aspects of Buckling185
6-6Application of Buckling Expressions to Design Problems188
Chapter 7Vibration of Plates192
7-1Introduction192
7-2General Equations for Rectangular Plates192
7-3Simply Supported Rectangular Plates196
7-4Rectangular Plates with Various Boundary Conditions199
7-5Circular Plates201
Chapter 8Membrane Theory of Shells of Revolution202
8-1Basic Equations of Equilibrium202
8-2Ellipsoidal and Spherical Shells Subjected to Axisymmetric Loads208
8-3Conical Shells219
8-4Cylindrical Shells223
8-5Wind Loads226
8-6Design of Shells of Revolution230b
Chapter 9Various Applications of the Membrane Theory233
9-1Analysis of Multi-Component Structures233
9-2Pressure-Area Method of Analysis242
9-3One-Sheet Hyperboloids251
9-4Deflection Due to Axisymmetric Loads258
Chapter 10Bending of Thin Cylindrical Shells Due to Axisymmetric Loads263
10-1Basic Equations263
10-2Long Cylindrical Shells268
10-3Long Cylindrical Shells with End Loads277
10-4Short Cylindrical Shells283
10-5Stress Due to Thermal Gradients in the Axial Direction286
10-6Stress Due to Thermal Gradients in the Radial Direction289
10-7Discontinuity Stresses296
Chapter 11Bending of Shells of Revolution Due to Axisymmetric Loads299
11-1Basic Equations299
11-2Spherical Shells306
11-3Conical Shells318
11-4Design Considerations328
Chapter 12Various Structures331
12-1Introduction331
12-2Hyperbolic Paraboloid Shells335
12-3Elliptic Paraboloid Shells337
12-4Folded Plates339
12-5Barrel Roofs346
Chapter 13Buckling of Cylindrical Shells348
13-1Basic Equations348
13-2Lateral Pressure353
13-3Lateral and End Pressure359
13-4Axial Compression362
13-5Donnell's Equations368
13-6Design Equations374
Chapter 14Buckling of Shells of Revolution386
14-1Buckling of Spherical Shells386
14-2Buckling of Stiffened Spherical Shells390
14-3Buckling of Conical Shells392
14-4Design Considerations396
Chapter 15Vibration of Shells398
15-1Cylindrical Shells398
15-2Spherical Shells406
Chapter 16Basic Finite Element Equations409
16-1Definitions409
16-2One-Dimensional Elements414
16-3Linear Triangular Elements421
16-4Axisymmetric Triangular Linear Elements429
16-5Higher Order Elements432
Appendix AFourier Series433
Appendix BBessel Functions445
Appendix CMatrix Operations453
Appendix DConversion Factors465
Answers to Selected Problems466
References470
Index474

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