FEM

📘 MST-102: Finite Element Method in Structural Engineering

📑 Contents

1) 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

📌 Assignment 1

2) Beam Elements: Flexure element, Element stiffness matrix, Element load vector

📌 Assignment 2

3) Method of Weighted Residuals: Galerkin finite element method, Application to structural elements, Interpolation functions, Compatibility and Completeness requirements, Polynomial form applications

📌 Assignment 3

4) Types: Triangular Elements, Rectangular Elements, Three-dimensional elements, Iso-parametric Formulation, Axis-Symmetric elements, Numerical integration, Gaussian quadrature

📌 Assignment 4

5) 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

📌 Assignment 5

6) Computer Implementation: Use of commercial FEA Software, Pre-processing, Solution, Post-processing

📌 Assignment 6