This book dwells on the classical and modern methods of analysis of both singly and doubly curved shells used as roof structures. Besides a brief discussion on the classification of different shell theories the book also deals with singly curved cylindrical shells including membrane and bending theories. The beam theory gives a quick insight into the structural actions without requiring more protracted and tedious solutions. The general membrane theory of doubly curved shells is followed by illustrations of the applications of the general membrane theory for the hyperbolic paraboloid, elliptic paraboloid, rotational paraboloid and conoids.

The general bending theory of thin shells and the bending analysis of translational shells are also taken up. The variational method of analysis and the applications of Galerkin method for the hyperbolic paraboloid, rotational paraboloid and conoidal shells are also illustrated. The high order, rectangular, shallow shell finite element and the isoparametric elements are dealt with separately. Some typical computer programmes of cylindrical shells, and the doubly curved shells, employing the Galerkin variational method are furnished in the Appendices.

For an effective understanding of the theories, several numerical problems of both singly and doubly curved shells are solved, presenting step by step calculations wherever possible. A number of technical/research papers and different classical textbooks have been consulted for the material with a view to presenting an up-to-date coverage of this interesting and rapidly developing field.

This book has been written for the postgraduate courses on thin shell structures and as a reference book for practising engineers and designers, who will benefit directly from the wide variety of numerical problems employing both classical and modem methods.

About The Author
J.N. BANDYOPADHYAY received his doctorate degree from Indian Institute of Technology, Kharagpur. His research topics at the Master`s and Doctorate levels were experimental and theoretical investigations on shells respectively. Prof. Bandyopadhyay teaches courses in Engineering Mechanics, Structural Theory, Design of Concrete Structures, Bridge Engineering, Theory of Elasticity, shells structures at the undergraduate and postgraduate levels. The author has supervised research in static and dynamic analyses of shells and folded plates. Other fields of research interest include analyses of high-rise buildings, bridge decks, reinforced concrete beams, reinforced concrete deep-beams with or without flanges etc. He has authored or coauthored several technical papers in National/ International Journals/conferences. Apart from teaching and research he has worked as industrial consultant in designing or checking of structural designs of different organizations including Coal India Ltd., Bokaro Steel Ltd., Andrew Yule and Company Ltd., IRCON etc.

Table Of Contents

• Definitions and Classifications of Shell Surfaces
• Classification of Shell Theories
• Membrane Theory of Cylindrical Shells
• Bending Theory of Cylindrical Shells
• Beam Theory of Cylindrical Shells
• Membrane Analysis of Surfaces of Revolution
• General Membrane Theory of Thin Shells
• Membrane Theory of Hyperbolic Paraboloid Shells
• Membrane Theory of Elliptic Paraboloid and Rotational Paraboloid Shells
• Membrane Theory of Conoids
• General Bending Theory of Thin Shells
• Bending Analysis of Translational Shells
• Variational Method of Analysis
• Thin Shell Finite Element Analysis
• Finite Element Method for Shallow Shells
• High Order Rectangular Shallow Shell Finite Element
• Isoparametic Elements