ME-425 FINITE ELEMENT ANALYSIS
CREDIT HOURS
Theory = 2
Practical = 1
COURSE LEARNING OUTCOMES (CLOs)
| S. No. | CLOs | Taxonomy |
| 1 | Apply the principals of finite element methods to solve the standard engineering problems. | Coginitive Level 3* |
| 2 | Understand the role and significance of shape functions in finite element formulations and use linear, quadratic, and cubic shape functions for interpolation. | Coginitive Level 4* |
| 3 | Solve plane stress problems using finite element solutions | Coginitive Level 3* |
COURSE CONTENT
- Introduction to general Numerical Techniques; Basic concepts regarding finite element analysis; Matrix stiffness method; Minimum potential energy formulation; Recent developments.
- Finite element modeling, element division and numbering scheme; Basic steps in FEA (Pre-processing, solution, post processing); Finite element Analysis of Bar element; Finite element Analysis of Truss; Finite element Analysis of Beam; Finite element Analysis of Frame.
- Governing Differential Equations; Transformation of Differential equation into FE equations; Treatment of boundary conditions (Elimination approach, penalty approach); Variational Formulation of boundary value problem; Methods of weighted residuals (Galerkin, Collocation, least square, sub-domain); Rayleigh Ritz Method.
- Interpolation techniques (Triangular, Rectangular); shape functions; Lagrange interpolation function; Analysis of one dimensional problems (Linear, Quadratic, Cubic elements); Analysis of two dimensional elements; Integration on master scale, modeling, mesh generation; Gaussian Quadrature formulae, One point form, two point form.
- Convergence of solution; Various measures of errors; FEA application to Heat Transfer problems; FEA application to Fluid Mechanics problems; FEA application to Solid Mechanics problems.
- Assumptions of plane elasticity; Basic equations; Formulation of Plane stress problems; Explicit expression for Constant strain triangular element stiffness matrix; Finite element solution of a Plane stress problem.
RECOMMENDED BOOKS
(01) Finite Element Analysis: Theory and Application with Ansys by Saeed Moaveni
(02) A First Course in finite element method by Daryl L.Logan
(03) Finite Element Modeling for Stress Analysis by Robert D. Cook
(04) Fundamentals of Finite Element Analysis by David V. Hutton
*For details of Taxonomy Levels CLICK HERE
