Theory of Shell StructuresShell structures form key components in a very wide range of engineering enterprise. The theory of shell structures is an old and large subject, with a huge literature. However, this book is not a compilation of results from the past. Instead, it is an attempt to bring the essence of the subject within the grasp of engineers. It tackles the fundamental question of how bending and stretching effects combine and interact in shell structures from a physical point of view; and it shows that this approach leads to an understanding of the structural mechanics of shells in general, and to useful results in particular problems. The first half of the book is concerned mainly with the basic ideas and equations of equilibrium, geometry and elasticity, and their combination in various useful ways. In particular, it includes a simple treatment of the geometry of general curved surfaces. The second half of the book first investigates the behaviour of various practical shell structures under static loading. Then there are chapters on the buckling of shells, on vibration, and on the application of plastic theory to analysis and design. |
From inside the book
Results 1-5 of 86
Page viii
... geometry of curved surfaces 124 5.1 Introduction 124 5.2 The idea of a surface 125 5.3 General properties of plane curves 128 5.4 Curvature of a surface in terms of the geometry of cross- sections : principal curvatures , etc. 129 5.6 ...
... geometry of curved surfaces 124 5.1 Introduction 124 5.2 The idea of a surface 125 5.3 General properties of plane curves 128 5.4 Curvature of a surface in terms of the geometry of cross- sections : principal curvatures , etc. 129 5.6 ...
Page xv
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Page xvii
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Page xxii
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Page 3
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Contents
Introduction | 1 |
2 | 9 |
6 | 37 |
9 | 72 |
The geometry of curved surfaces | 124 |
Geometry of distortion of curved surfaces | 151 |
Displacements of elastic shells stressed according to | 188 |
Stretching and bending in cylindrical and nearlycylindrical | 217 |
Flexibility of axisymmetric bellows under axial loading | 413 |
Curved tubes and pipebends | 429 |
classical analysis | 473 |
nonclassical analysis | 550 |
The Brazier effect in the buckling of bent tubes | 595 |
Vibration of cylindrical shells | 626 |
Theorems of structural mechanics | 711 |
Corresponding load and deflection variables | 721 |
1 | 246 |
cylindrical shells subjected to nonsymmetric loading | 269 |
2 | 318 |
3 | 359 |
Bending stresses in symmetricallyloaded shells of revolution | 361 |
The staticgeometric analogy | 728 |
The area of a spherical polygon | 735 |
Fourier series | 741 |
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Common terms and phrases
analogous analysis angle angular defect applied loading axial axis B-surface beam behaviour bending moment boundary conditions buckling calculation change of curvature chapter circular circumferential bending circumferential direction clamped components consequence consider constant corresponding cosne cross-section curve cylindrical shell deflection deformation diagram dimensionless dimensionless group displacement edge edge-beams effect elastic element equal equilibrium equations example expression factor flexibility formula Fourier series function Gaussian curvature geometry given governing equation Hence Hooke's law inextensional Lamé parameters length lines long-wave longitudinal membrane hypothesis meridian mode normal obtain plane plate plotted pressure principal curvatures problem radial radius region respectively right-hand side rotation shearing force shell structures short-wave shown in fig simple sin(x/L solid angle solution spherical stiffness strain energy stress resultants stretching surface tangential tensile stress tension theory thickness transverse tube uniform variables wavenumber zero
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