Theory of Shell Structures

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Cambridge University Press, Feb 16, 1989 - Science - 763 pages
Shell 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.

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Contents

Introduction
1
Generalised Hookes law for an element of a shell
12
Cylindrical shells under symmetric loading
40
the membrane
80
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
classical analysis
473
The effect of clamped and other boundary conditions
512
nonclassical analysis
550
The Brazier effect in the buckling of bent tubes
595
Vibration of cylindrical shells
626
different boundary conditions
650
Shell structures and the theory of plasticity
656
Theorems of structural mechanics
711

cylindrical shells subjected to nonsymmetric loading
269
Cylindrical shell roofs
318
Bending stresses in symmetricallyloaded shells of revolution
361
Flexibility of axisymmetric bellows under axial loading
413
Curved tubes and pipebends
429
Corresponding load and deflection variables
721
The staticgeometric analogy
728
The area of a spherical polygon
735
Fourier series
741
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