Theory and Design of Plate and Shell Structures
Published on 31. August 1994
Book
Hardback
XV, 423 pages
978-0-412-98181-4 (ISBN)
Description
The design of many structures such as pressure vessels, aircrafts, bridge decks, dome roofs, and missiles is based on the theories of plates and shells. The degree of simplification needed to adopt the theories to the design of various structures depends on the type of structure and the re quired accuracy of the results. Hence, a water storage tank can be satis factorily designed using the membrane shell theory, which disregards all bending moments, whereas the design of a missile casing requires a more precise analysis in order to minimize weight and materials. Similarly, the design of a nozzle-to-cylinder junction in a nuclear reactor may require a sophisticated finite element analysis to prevent fatigue failure while the same junction in an air accumulator in a gas station is designed by simple equations that satisfy equilibrium conditions. Accordingly, this book is written for engineers interested in the theories of plates and shells and their proper application to various structures. The examples given throughout the book subsequent to derivation of various theories are intended to show the engineer the level of analysis required to achieve a safe design with a given degree of accuracy. The book covers three general areas. These are: bending of plates; membrane and bending theories of shells; and buckling of plates and shells. Bending of plates is discussed in five chapters. Chapters 1 and 2 cover rectangular plates with various boundary and loading conditions.
Reviews / Votes
Well-written..very strong on applications and design. Certainly should be on the list of references for any course in plates and shells. - Applied Mechanics Reviews, October 1995; Well-written..very strong on applications and design. Certainly should be on the list of refernces for any course in plates and shells. - Applied Mechanics Reviews, October 1995; Well-written..very strong on applications and design. Certainly should be on the list of refernces for any course in plates and shells. - Applied Mechanics Reviews, October 1995; Well-written..very strong on applications and design. Certainly should be on the list of refernces for any course in plates and shells. - Applied Mechanics Reviews, October 1995More details
Edition
1994 ed.
Language
English
Place of publication
New York
United States
Target group
Professional and scholarly
Research
Illustrations
XV, 423 p.
Dimensions
Height: 241 mm
Width: 160 mm
Thickness: 29 mm
Weight
828 gr
ISBN-13
978-0-412-98181-4 (9780412981814)
DOI
10.1007/978-1-4615-2656-8
Schweitzer Classification
Other editions
Additional editions
Book
09/2012
Springer
€160.49
Shipment within 7-9 days
Content
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.