ME-441 FINITE ELEMENT METHODS
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 Engineering Knowledge |
Cognitive Level 2* |
| 2 | Apply finite element techniques to analyze engineering structures | PLO-3 Design/Development of Solutions |
Cognitive Level 3* |
| 3 | Analyze engineering structures using FEA software tools to solve various engineering problems | PLO-5 Tool Usage |
Cognitive Level 4* |
COURSE CONTENT
- Introduction to Stress Analysis: 3D stress analysis, different stress analysis approaches: analytical, numerical, experimental; analytical formulations, plane elasticity problems
- Introduction to general numerical techniques: Concepts of Finite Element Analysis (FEA); stiffness matrix method; Minimum potential energy formulation, Methods of weighted residuals (Galerkin, Collocation, least square, sub-domain), matrix algebra, FEA of trusses, beams, and frames.
- Analysis of one-dimensional problems: Linear, Quadratic, Cubic elements; shape functions; global, local and natural coordinates, Isoparametric elements, numerical integration: Gauss-Legendre Quadrature, applications in solid mechanics, heat transfer and fluid mechanics.
- Analysis of two-dimensional elements: constant strain triangular element stiffness matrix and equations, shape function and its properties, finite solution of a plane stress problem.
- General considerations in FEM: aspect ratio and element shapes, use of symmetry, sizing and methods of refinement, convergence of solution, errors in FEA, singularities, Matrix algebra using software; modelling and analysis of basic static structural, vibration and dynamics, thermal and fluid analysis, design optimization problems using FEA software
RECOMMENDED BOOKS
Text Book(s)
- Saeed Moaveni, “Finite Element Analysis: Theory and Application with ANSYS”, 5th Edition, Pearson, 2019
- Daryl Logan, “A First Course in the Finite Element Method”, 6th Edition, Cengage Learning, 2022
Reference Book(s)
- Xiaolin Chen, Yijun Liu, Finite Element Modeling and Simulation with ANSYS Workbench, 2nd Edition, Taylor & Francis Group, 2019.
- Richard G. Budynas, Advanced Strength and Applied Stress Analysis, 1st Edition, McGraw-Hill Education, 1999
*For details of Taxonomy Levels CLICK HERE
