The target audience of the course is the Post Graduate / Final year Undergraduate students from areas such as Civil, Mechanical, Aerospace, Naval Architecture etc.
The objective of the course is to apprise the students about the basics of the Finite Element Technique, a numerical tool for the solution of different classes of problems in solid mechanics. Different application areas will be dealt with after introducing the basic aspects of the method.
However, major emphasis will be on the solution of problems related to Civil Engineering.
It is intended to cover the analysis methodologies for 1-D, 2-D and 3-D problems with the advantages and disadvantages clearly spelt out.
It is expected that once the students are exposed to the course, they will be in a position to develop computer codes for any physical problem using Finite Element technique.

Sl. No.

Topic

1

Module 1: Introduction to Finite Element Analysis

Lecture 1: Introduction

Lecture 2: Basic Concepts of Finite Element Analysis

Lecture 3: Introduction to Elasticity

Lecture 4: Steps in Finite Element Analysis

2

Module: 2 Finite Element Formulation Techniques

Lecture 1: Virtual Work and Variational Principle

Lecture 2: Galerkin Method

Lecture 3: Finite Element Method: Displacement Approach

Lecture 4: Stiffness Matrix and Boundary Conditions

3

Module 3: Element Properties

Lecture 1: Natural Coordinates

Lecture 2: Triangular Elements

Lecture 3: Rectangular Elements

Lecture 4: Lagrange and Serendipity Elements

Lecture 5: Solid Elements

Lecture 6: Isoparametric Formulation

Lecture 7: Stiffness Matrix of Isoparametric Elements

Lecture 8: Numerical Integration: One Dimensional

Lecture 9: Numerical Integration: Two and Three Dimensional

Worked out Examples

4

Module 4: Analysis of Frame Structures

Lecture 1: Stiffness of Truss Members

Lecture 2: Analysis of Truss

Lecture 3: Stiffness of Beam Members

Lecture 4: Finite Element Analysis of Continuous Beam

Lecture 5: Plane Frame Analysis

Lecture 6 Analysis of Grid and Space Frame

5

Module 5: FEM for Two and Three Dimensional Solids

Lecture 1: Constant Strain Triangle

Lecture 2: Linear Strain Triangle

Lecture 3: Rectangular Elements

Lecture 4: Numerical Evaluation of Element Stiffness

Lecture 5: Computation of Stresses, Geometric Nonlinearity and Static Condensation

Lecture 6: Axisymmetric Element

Lecture 7: Finite Element Formulation of Axisymmetric Element

Lecture 8: Finite Element Formulation for 3 Dimensional Elements

Worked out Examples

6

Module 6: FEM for Plates and Shells

Lecture 1: Introduction to Plate Bending Problems

Lecture 2: Finite Element Analysis of Thin Plate

Lecture 3: Finite Element Analysis of Thick Plate

Lecture 4: Finite Element Analysis of Skew Plate

Lecture 5: Introduction to Finite Strip Method

Lecture 6: Finite Element Analysis of Shell

7

Module 7: Additional Applications of FEM

Lecture 1: Finite Elements for Elastic Stability

Lecture 2: Finite Elements in Fluid Mechanics

Lecture 3: Dynamic Analysis

Since this course is a Masters level course, it is expected that the students should be exposed to Structural Analysis, Matrix Algebra & Basic Mathematics courses.

TEXT

Concepts in Finite Element Analysis - R.D. Cook, Plesha & Malkus.

Finite Element Analysis - C. S. Krishnamoorthy

Finite Element Analysis - S. S. Rao

C. S. Krishnamoorty, Finite Element Analysis, Tata McGraw-Hill

David V. Hutton, Fundamentals of Finite Element Analysis, McGraw Hill

D. Maity, Computer Analysis of Framed Structures, I. K. International Pvt. Ltd. New Delhi

Erik G. Thompson, Introduction to the Finite Element Method: Theory, Programming and Applications, John Wiley

H. C. Martin and G. F. Carey, Introduction to Finite Element Analysis - Theory and Application, NewYork, McGraw-Hill

Irving H. Shames, Clive L. Dym, Energy and Finite Element Methods in Structural Mechanics; New Age International

K. J. Bathe, Finite Element Procedures, Prentice-Hall of India, New Delhi, India

M. Mukhopadhyay, Matrix, Finite Element, Computer and Structural Analysis, Oxford and IBH Publishing Co. Pvt. Ltd., New Delhi, India

O. C. Zienkiewicz and Y. K. Cheung, The Finite Element Method in Structural and Soild Mechanics, McGraw Hill, London

P. E. Ceruzzi, A History of Modern Computing, The MIT Press, Cambridge, MA, 1998.

R. D. Cook, Concepts and Applications of Finite Element Analysis, Wiley

S. S. Rao, Finite Element Analysis, Elsevier Butterworth-Heinemann

W. Weaver Jr. and J. M. Gere, Matrix Analysis of Framed Structure, CBS Publishers & Distributors, New Delhi, India

A large amount of literature is available in the area. Students should get exposed to the same.

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