Finite Element Methods in Structural engineering
Credits 3, L:T:P 3:0:0
Lectures: 3 hrs/week
On completion of the course, the student will have the ability to:
- Learn elemental stiffness technique
- Formulate finite element equation, equilibrium equation.
- Apply the concepts of Finite Element Formulation and loads
- Learn computer applications of FEM.
- Introduction: History and Applications. Spring and Bar Elements, Minimum Potential Energy Principle, Direct Stiffness Method, Nodal Equilibrium equations, Assembly of Global Stiffness Matrix, Element Strain and Stress
- Beam Elements: Flexure Element, Element Stiffness Matrix, Element Load Vector.
- Method of Weighted Residuals: GalerkinFinite Element Method, Application to Structural Elements, Interpolation Functions, Compatibility and Completeness Requirements, Polynomial Forms, Applications.
- Types:Triangular Elements, Rectangular Elements, Three-Dimensional Elements, Isoparametric Formulation, Axi-Symmetric Elements, Numerical Integration, Gaussian Quadrature.
- Application to Solid Mechanics: Plane Stress, CST Element, Plane Strain Rectangular Element, Isoparametric Formulation of the Plane Quadrilateral Element, Axi- Symmetric Stress Analysis, Strain and Stress Computations.
- Computer Implementation of FEM procedure, Pre-Processing, Solution, Post-Processing, Use of Commercial FEA Software.
- Finite Element Analysis, Seshu P., Prentice-Hall of India
- Concepts and Applications of Finite Element Analysis, Cook R. D., Wiley J., New York
- Fundamentals of Finite Element Analysis, Hutton David, Mc-Graw Hill
- Finite Element Analysis, Buchanan G.R., McGraw Hill Publications, New York
- Finite Element Method, Zienkiewicz O.C. & Taylor R.L. Vol. I, II & III, Elsevier
- Finite Element Methods in Engineering, Belegundu A.D., Chandrupatla, T.R., Prentice Hall India