FEM

MST-102: Finite Element Method in Structural Engineering

Credits: 3:0:0 = 3
Teaching Scheme
Lectures: 3 hours/week

On completion of the course, the student will have the ability to:

Develop stiffness matrix and load vector for a given structural element
Formulate finite element equation for a given problem
Select suitable element type and solution form in the Finite element analysis
Illustrate the use of FEA tools/software in obtaining the structural response of a given problem

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: Galerkin finite element method, Application to structural elements, Interpolation functions, Compatibility and Completeness requirements, Polynomial form applications
Types: Triangular Elements, Rectangular Elements, Three-dimensional elements, Iso-parametric Formulation, Axis-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, Axis- symmetric stress analysis, Strain and stress computations
Computer Implementation: Use of commercial FEA Software, Pre-processing, Solution, Post-processing

Finite Element Analysis – Seshu P., Prentice-Hall of India
Concepts and Applications of Finite Element Analysis – Cook R. D., Wiley, New York
Fundamentals of Finite Element Analysis – Hutton David, McGraw-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