MEL7540 Finite Element Methods in Engineering

Welcome to the course! Please go through the First Course Handout (FCH) to know more about the rules and regulations.

• Course Time Table:  

Lectures:  Tuesday, Thursday, and Friday  (4:00PM-4:50PM)

• Course Content:  

Historical background: General procedure for finite element analysis; Comparison between FEM solution and exact solution; Stiffness matrix, Spring and bar elements; Finite element formulation of axial rod and beam problems;  Stiffness Method Introduction, Element Transformation, Boundary conditions, Constraint forces, Global stiffness matrix, Element strain and stress, Three Dimensional Trusses and Frames; Elementary beam theory, Flexure element stiffness matrix, Boundary conditions, constraint forces, Global stiffness matrix, General three dimensional beam element; Completeness and compatibility, Concept of interpolation functions, Polynomial forms, geometric isotropic; Triangular, rectangular and three-dimensional elements; Isoparametric formulation, axisymmetric elements; Numerical Integration, Gaussian Quadrature; One dimensional Conduction with and without convection; Heat transfer in 2D dimensions; Heat Transfer with mass transport; Heat Transfer in 3D dimensions; Time-dependent Heat Transfer; Governing equations for incompressible flow; Fluid mechanics in 2-D flow, Incompressible viscous flow; Basic Equations; Boundary Conditions; FEM Formulation; Shape Functions; Numerical Evaluation of Elements Matrices and Vectors; Global matrices; Boundary conditions and solutions; General 3D stress element;  Thin plate formulation; Various thin plate elements; Thick plate formulation; Vibration of a rod; Vibration of a beam; Classification of partial differential equations; Time response of parabolic equations; Forced vibration problems.

• Reference Books:

1. Hutton, D., 2004. Fundamentals of finite element analysis. McGraw-Hill. 

2. Fish, J. and Belytschko, T., 2007. A first course in finite elements (Vol. 1). John Wiley & Sons Limited.

3.  Reddy, J.N., 2005. An introduction to the finite element method (Vol. 3). New York: McGraw-Hill.

4. Seshu, P., 2003. Textbook of finite element analysis. PHI Learning Pvt. Ltd.

5.  Cook, R.D., 2007. Concepts and applications of finite element analysis. John wiley & sons.

6.  Bathe, K.J., 2006. Finite element procedures. Klaus-Jurgen Bathe.

7.  Moaveni S., Finite Element Analysis - Theory and Application with ANSYS, Prentice Hall

8. Chandrupatla, T., Chandrupatla, T.R. and Belegundu, A., 2021. Introduction to finite elements in engineering. Cambridge University Press.

• Course Evaluation (Credits: 03):

45%: Major Examination                        25%: Minor Examinations                   30%: Quizzes/Assignments/ Projects