WITH EFFECT FROM THE ACADEMIC YEAR 2013 - 2014

 

ME 403

 

                    FINITE ELEMENT ANALYSIS

 

Instruction                                                                                                                                                                                      4+1  Periods per week

Duration of University Examination                                                                                                                                                 3       Hours

University Examination                                                                                                                                                                  75      Marks

Sessional                                                                                                                                                                                       25      Marks

 

Unit-I

 

Introduction to Finite Element Method for solving field problems, Stress and Equilibrium, Boundaiy conditions, Strain, Displacement, Stress-Strain relations.

 

One dimensional problems:

 

Finite element modeling coordinates and shape functions, Potential Energy approach: Assembly of Global stiffness matrix and load vector, Finite element equations, Treatment of boundary conditions, Galerkin’s approach, Quadratic shape functions.

 

Unit-II

Analysis of trusses and frames: Element stiffness matrix for a truss member, Analysis of plane truss with two at each node. Analysis of frames with two translations and a rotational degree of freedom at each node, Analysis of Beams: Element stiffness matrix for two nodes (two degrees of freedom per node).

 

Unit-Ill

 

Finite element modeling of two dimensional stress analysis with constant strain triangles and treatment of boundary conditions. Finite element modeling of axi-symmetric solids subjected to axi- symmetric loading with triangular elements.

 

Unit-IV

 

Two dimensional four nodded iso-parametric elements and numerical integration. Steady state heat transfer analysis: One dimensional analysis of a fin and two dimensional analysis of thin plate, Analysis of circular shaft subjected to torsion.

 

Unit-V

 

Dynamic Analysis: Formulation of finite element model, element matrices, Evaluation of Eigen values and Eigen vectors for a stepped bar and a beam, Time dependent field problems: Application to one dimensional heat flow in


a rod. Introduction to finite element formulation of three dimensional problems in stress analysis, Convergence requirements. Introduction to Finite Element Analysis Software.

 

Suggested Reading:

 

1.         G. Ramamurthy, Applied Finite Element Analysis, I.K. International Publishing House Pvt. Ltd., New Delhi, 2009

 

2.         Tirupathi R, Chandraputla and Ashok D Belagundu, Introduction to Finite Elements in Engineering, Practice Hall of India, 1997.

 

3.         Rao S S, The Finite Element Method in Engineering, Pergamon Press, 1989.

 

4.          Segerlind L J, Applied Finite Element Analysis, Wiley Eastern, 1984.

 

5.         Reddy JN, An Introduction to Finite Element Method, McGraw-Hill, 1984.


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