Plate and Shell Structures

 
 

Course Details:


Timings:  Wednessday 12:00 - 12.55 PM

               Friday 9.00 - 11.55 AM

  Venue: CE204

    Email:  biswanath [AT] civil.iitkgp.ernet.in


Rule:


Prerequistes - Elasticity Theory, Basic Finite Element Analysis, Basic Structural Dynamics, Matlab based Finite Element Programming.

100% Class attendance is a must (excluding medical reasons).


If you need to meet me for the coursework related issues please come in between 4.30 - 5.30 PM on every Thursday at my office CE319, otherwise drop me an email we will fix a time conveniently.


Syllabus:


  1. 1.Introduction to Different Beam Theories and Basic Approximation of 2D Continua, Elements of Calculus of Variations.

  2. 2.Classical Plate Theory - Statics and Dynamics.

  3. 3.Shear Deformable Plates - Reissner-Mindlin Plate Theory, Concept of Rotatry Intertia.

  4. 4. Nonlinear Theory - von Kármán Plates, Membrane and Bending Coupling.

  5. 5.Finite Elements for Plates - DKT elements, Shear Locking.

  6. 6.Shell Structures as an Extension of Plates, Concepts Gaussian Curvature, Different types of Shells.

  7. 7.Linear Shell Analysis - Cylindrical and Spherical Shells with Finite Element Approximations.


Syllabus for Mid-semester and End-semester Examination will be declared in the class.


Evaluation :


  1. 1.30 Marks for Assignments and Class Tests (Extreamly Important)

  2. 2.30 Marks for Mid-semester Examination.

  3. 3.40 Marks for End-semester Examination.


Assignments:


Assignment 1


Books:

  1. 1.Energy and Finite Element Methods in Structural Mechanics by I. H. Shames and C. L. Dym.

  2. 2.Concept and Applications of Finite Element Analysis (Chapter 11 and 12 in Third Edition) by R. D. Cook, D. S. Malkus and M. E. Plesha.

  3. 3. Theory and Analysis of Elastic Plates and Shells by J. N. Reddy.

  4. 4.Theory of Plates and Shells by S. Timoshenko and S. Woinowsky-Krieger.