Course Co-ordinated by IIT Kharagpur
 Coordinators IIT Kharagpur IIT Kharagpur

Untitled Document

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

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