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Course Detail

Course Name Theory of Plates and Shells
Course Code 18SC705
Program M. Tech. in Structural & Construction Engineering
Credits Coimbatore
Year Taught 2019


Course Syllabus

Introduction – Formulation of governing equations and associated boundary conditions by equilibrium and energy methods, Rectangular plates- Solution of equation by double and single series, Circular plates – Symmetric and unsymmetric loading cases, Continuous Plates, Plates with various plan forms, plates with variable flexural rigidity, plates on elastic foundation . Numerical and Approximate Methods- finite difference method- finite element method, energy methods and other variational methods. Introduction, Theory of Surfaces- first and second fundamental forms- principal curvatures, Formulation of governing equations in general orthogonal curvilinear coordinates based on classical assumptions- Various shell theories, Membrane theory- governing equations- shells of revolution- application to specific geometric shapes- ax symmetric and non –axisymmetric loading cases. General theory of shells- governing equations and associated boundary conditions for specific geometry of shells (cylindrical, conical and spherical shells)- classical solutions – finite difference and finite element methods applied to shell problems.

Text Books

  • Analysis of Plates: Theory and Problems – Vardhan T. K. and Bhaskar. K, Paz. M, Narosa Book Distributors Pvt Ltd, 1999.
  • Theory of Plates and Shells, Timoshenko. S, and Woinowsky – Kreiger, Tata McGraw – Hill Education, 2010.
  • Theory of Plates, Chandrashekharan. K, Universities Press (India) Ltd., 2001.


‘Theory of Plates and Shells’ is an elective course offered in M. Tech. program in Structural & Construction Engineering at the School of Engineering, Amrita Vishwa Vidyapeetham, Coimbatore campus.

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