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# ME8692 Syllabus Finite Element Analysis Regulation 2017 Anna University

## ME8692 Syllabus Finite Element Analysis

### UNIT I INTRODUCTION 9 ME8692 Syllabus Finite Element Analysis

Historical Background – Mathematical Modeling of field problems in Engineering – Governing Equations – Discrete and continuous models – Boundary, Initial and Eigen Value problems– Weighted Residual Methods – Variational Formulation of Boundary Value Problems – Ritz Technique – Basic concepts of the Finite Element Method.

### UNIT II ONE-DIMENSIONAL PROBLEMS 9 ME8692 Syllabus Finite Element Analysis

One Dimensional Second Order Equations – Discretization – Element types- Linear and Higher order Elements – Derivation of Shape functions and Stiffness matrices and force vectors- Assembly of Matrices – Solution of problems from solid mechanics and heat transfer. Longitudinal vibration frequencies and mode shapes. Fourth Order Beam Equation –Transverse deflections and Natural frequencies of beams.

### UNIT III TWO DIMENSIONAL SCALAR VARIABLE PROBLEMS 9 ME8692 Syllabus Finite Element Analysis

Second Order 2D Equations involving Scalar Variable Functions – Variational formulation –Finite Element formulation – Triangular elements – Shape functions and element matrices and vectors. Application to Field Problems – Thermal problems – Torsion of Non circular shafts –Quadrilateral elements – Higher Order Elements.

### UNIT IV TWO DIMENSIONAL VECTOR VARIABLE PROBLEMS 9

Equations of elasticity – Plane stress, plane strain and axisymmetric problems – Body forces and temperature effects – Stress calculations – Plate and shell elements.

### UNIT V ISOPARAMETRIC FORMULATION 9

Natural co-ordinate systems – Isoparametric elements – Shape functions for iso parametric elements – One and two dimensions – Serendipity elements – Numerical integration and application to plane stress problems – Matrix solution techniques – Solutions Techniques to Dynamic problems – Introduction to Analysis Software. ME8692 Finite Element Analysis

 Subject name Finite Element Analysis Short Name FEA Semester 6 Subject Code ME8692 Regulation 2017 regulation