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• Introduction to FEM, Basic concepts, Background of development of FEM, Utilization of FEM, Introduction to the course and recommended books
• Variational principles, Approximate versus exact method, Discretization concepts, of point-wise and piece-wise discretization techniques and Lagrangian interpolation
• Energy method - Rayleigh–Ritz method using 2-Node Bar Element (1-D Problem)
• 2-D Field Problem- Prismatic bar (Rectangular section), Introducing use of Pascal Triangle
• Development of FEM Formulation; subdomain, whole domain, Formulation of Finite Element Equation for 4-Node Rectangular Element (2-D Field Problem)
• 2-D Elasticity Problems, Plane stress problem, Plane strain problem, Co-ordinate transformation; isoparametric transformulation,
• Formulation of Finite Element Equation for 4-Node Quadrilateral Element (2-D Field Problem), intrinsic coordinates and isoparametric transformation
• 1-D Elasticity Problem Application to Framed Structure Application to Beam Element (elastic body)
• Introduction to N-node bar element, Beam theories (Euler-Bernolli Beam theory & Timoshenko Beam Theory), 2-node beam element, Application to Columns
• Energy Methods, Weighted residual method, point collocation, Point least square, integrated least square, Glerkin Method
• Application of FEM to find stresses & strains in members under axial loading (bar element) and members under flexural & transverse loading
• Introduction to the concepts of Numerical Integration, Gaussian Quadrature, Modified Gaussian Quadrature, Double Integration, Triple Integration
• Application of FEM techniques in Heat Transfer Problems/ steady state heat conduction problem, using bar element (1-D) and rectangular elements (2-D)
• Direct approach to find Shape functions for 3-node triangular elements, Axisymmetrical Elasticity Problems
• Analysis of Dynamics Problems using FEM, vibration analysis using Bar Elements, vibration analysis using Beam Elements
• Analysis of Frames using FEM