Lecture Notes
Dear Students the Lecture Notes has been uploaded for the following topics:One dimensional second order equations, discretization – element types, Derivation of shape function for 1d bar element, Derivation of stiffness matrices and force vectors and problems, Problems on solid mechanics , Problems on solid mechanics 2, Problems on heat transfer, Problems on heat transfer and derivation of stiffness matrix for one dimensional heat conduction element , Longitudinal vibration frequencies and mode shapes , Problems on beam element , Introduction to two dimensional scalar problems /derivation of shape function for CST element , Strain displacement matrix for CST element, Derivation for stress -strain displacement matrix for CST element , Derivation for stiffness matrix for CST element , Problem on stiffness matrix for CST element , Problem on stiffness matrix for CST element 1 , Heat transfer problems in CST elements , Torsion of non circular shafts, Quadrilateral and higher order elements , Equations of elasticity , Problems on plane stress and strain displacement matrix for Axi-symmetric element , Elemental stiffness matrix (k) for axis symmetric element , Plane stress problems, Plane stress problems , Plane strain problems , Temperature effects and stress calculations problems, Introduction to plate and shell elements , Plate and shell elements problems, Introduction to Iso-parametric elements, concept of sub-parametric and super Iso-parametric element, Derivation for Shape functions for Iso parametric elements , Iso parametric elements problems, Serendepity Elements, Numerical integration and application to plane stress problems, Gaussian Quadrature problems, Solution Techniques to dynamic problems, Introduction to Analysis Software, Point domain and Sub domain collocation method problems, Introduction to weighted residual methods and formulas , The least square and Galerkin method problems , Discrete and continuous models - boundary, initial and eigen value problems, Discrete and continuous models- boundary, initial and eigen value problems, Rayleigh Ritz method problems, Basic concepts of the finite element method
