__ME-425 FINITE ELEMENT ANALYSIS__

__CREDIT HOURS__

Theory = 2

Practical = 1

**COURSE LEARNING OUTCOMES (CLOs)**

S. No. |
CLOs |
PLO |
Taxonomy |

1 | Discuss the principles of finite element methods to solve the standard engineering problems. | PLO-1 |
Coginitive |

2 | Develop the finite element formulations for engineering structures. | PLO-3 | Coginitive Level 5* |

3 | Practice FEA techniques for various engineering application using software tool as per the provided guidelines | PLO-5 | 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**