This comprehensive textbook on thin shells meets the requirements of Indian universities. It covers the theory of shells and concrete shell structures for advanced undergraduates and postgraduate courses as well as for practicing engineers.
The material is presented in the form of questions and answers and includes solved as well as supplementary problems which students have to tackle. This calls for constant application of what has been learnt, there by training students to answer within an allotted time.
Starting from differential geometry, the book develops the basic equations using both conventional (differential element approach) and variational formulations. Equations are developed in the general curvilinear coordinate system and particularised in later chapters for shells of special shape. Their limitations while particularising for shells with rectangular planform are explicitly brought out. The numerical methods that play a very significant role today have been dealt with elaborately, with a complete listing of programs, which can be used straightaway to solve problems. They will serve as useful models on which students can develop new programmes
J Raamachandran, formerly Head, Elasticity Division, Department of Applied Mechanics, IIT Madras. He has to his credit numerous publications in reputed journals and is the author of Strength of Materials and Plasticity and Plastic Design.
Preface List of symbols
1 Introduction to the theory of surfaces Solved problems Supplementary problems
2 Constitutive equations of the theory of thin elastic shells Solved problems Supplementary problems
3 Membrane theory of shells Solved problems Supplementary problems
4 Bending theory of cylindrical shells Solved problems Asymmetric loading Supplementary problems
5 Bending theory of shells of revolution Solved problems Shallow shells Conical shells Inextensional deformation Supplementary problems
6 Shells of general shape Solved problems Membrane analysis Folded plates Appendix 6.1 Appendix 6.2 Supplementary problems
7 Free vibrations of shells Solved problems Supplementary problems
8 Numerical methods Solved problems Appendix 8.1 Appendix 8.2 Appendix 8.3 Appendix 8.4 Appendix 8.5 Appendix 8.6 Supplementary problems
Bibliography Index