## Theory and Analysis of Elastic Plates and Shells, Second EditionBecause plates and shells are common structural elements in aerospace, automotive, and civil engineering structures, engineers must understand the behavior of such structures through the study of theory and analysis. Compiling this information into a single volume, Theory and Analysis of Elastic Plates and Shells, Second Edition presents a complete, up-to-date, and unified treatment of classical and shear deformation plates and shells, from the basic derivation of theories to analytical and numerical solutions. Revised and updated, this second edition incorporates new information in most chapters, along with some rearrangement of topics to improve the clarity of the overall presentation. The book presents new material on the theory and analysis of shells, featuring an additional chapter devoted to the topic. The author also includes new sections that address Castigliano's theorems, axisymmetric buckling of circular plates, the relationships between the solutions of classical and shear deformation theories, and the nonlinear finite element analysis of plates. The book provides many illustrations of theories, formulations, and solution methods, resulting in an easy-to-understand presentation of the topics. Like the previous edition, this book remains a suitable textbook for a course on plates and shells in aerospace, civil, and mechanical engineering curricula and continues to serve as a reference for industrial and academic structural engineers and scientists. |

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Well done, readable account. For those interested in such, one section deals with the derivation of the Roark stress and deflection results for circular plates.

In chasing down the book desription, the publisher does not define the differences between vol. 1 and 2 well, but once a choice is made the book is well worth the effort.

### Contents

Vectors Tensors and Equations of Elasticity | 1 |

Energy Principles and Variational Methods | 39 |

Classical Theory of Plates | 95 |

Analysis of Plate Strips | 125 |

Analysis of Circular Plates | 149 |

Problems | 212 |

Problems | 259 |

General Buckling of Rectangular Plates | 299 |

Dynamic Analysis of Rectangular Plates | 331 |

Shear Deformation Plate Theories | 359 |

Shear Deformation Theories | 390 |

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### Common terms and phrases

beam bending moments boundary conditions circular plate clamped classical plate theory constants constitutive equations coordinate system cosh critical buckling load cylindrical coordinate system deformation plate theory deformation theories denotes derivatives determine displacement field dx dx dx dy dxdy dy dx dy dy edge elastic foundation equations of motion equilibrium Euler-Lagrange equations expressed finite element model FSDT Galerkin method geometric governing equations inplane isotropic plate linear matrix membrane mode shape n=l m=l natural vibration nondimensional nonlinear obtain orthotropic material orthotropic plates plate aspect ratio plate strip point load polynomials principle of virtual problem rectangular plates Ritz method Ritz solution rotatory inertia shear deformation shear deformation plate shear force shear stress simply supported plate sinh square plates strains tensor total potential energy uniformly distributed load variables vector virtual displacements wmax zero

### Popular passages

Page 536 - On Vibration and Buckling of Symmetric Laminated Plates According to Shear Deformation Theories, Ada Mechanica, in press.