## 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. |

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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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### Common terms and phrases

according analysis angle applied approximately axial B-surface beam behaviour bending boundary conditions buckling calculation carried chapter circular circumferential classical clear components consequence consider constant convenient coordinate corresponding course cross-section curvature curve cylindrical shell defined deformation described determined diagram dimensionless direction displacement distribution edge effect elastic element energy equal equations equilibrium equations example expression fact factor flexibility follows force formula function geometry given gives Hence important involves kind length loading longitudinal material means membrane hypothesis meridian method mode normal Note obtain original particular plane plastic plate plotted positive practical present pressure problem radius range region relation relatively respectively shear shown in fig side simple solution spherical stiffness straight strain stress resultants stretching structures subjected surface tension theory thickness tube uniform unit variables various zero

### Popular passages

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