8Lec 8: Bar Element: Postprocessing; Comparison with Analytical Solution; Bar with linear springsDownload
13Lec 13: Frame Element: Derivation of elemental equation in global reference frameDownload
19Lec 19: Gauss Divergence theorem and its application in Heat transfer and Structural analysisDownload

Sl.No Chapter Name English
1Lec 1: Functional, First variation, Euler Lagrange equation; Several Dependent variablesPDF unavailable
2Lec 2: Functional with higher order derivatives; Variational statementPDF unavailable
3Lec 3: Differential equation, Variational statement and Minimization problem; Rayleigh-Ritz methodPDF unavailable
4Lec 4: FEM steps: Explained with discrete linear springs; Gaussian Quadrature rule for integrationPDF unavailable
5Lec 5: Solving one Ordinary Differential Equation using Linear Finite ElementPDF unavailable
6Lec 6: Solving one Ordinary Differential Equation using Quadratic Finite ElementPDF unavailable
7Lec 7: Bar Element: Elemental equation; Matlab Implementation with ExamplePDF unavailable
8Lec 8: Bar Element: Postprocessing; Comparison with Analytical Solution; Bar with linear springsPDF unavailable
9Lec 9: Truss Element: Elemental equation; Matlab Implementation with ExamplePDF unavailable
10Lec 10: Beam Element: Variational statement; Hermite shape functionPDF unavailable
11Lec 11: Beam Element: Elemental equation; Matlab implementation with ExamplePDF unavailable
12Lec 12: Beam Element: Matlab implementation for the example with Non-uniform distributed loadPDF unavailable
13Lec 13: Frame Element: Derivation of elemental equation in global reference framePDF unavailable
14Lec 14: Frame Element: Matlab implementation with one ExamplePDF unavailable
15Lec 15: Generalization of Geometry data; Stiffness matrix, Load vector formation at element levelPDF unavailable
16Lec 16: Generalization of Assembly, Imposition of Boundary condition and Load informationPDF unavailable
17Lec 17: Indicial Notation: Summation convention, Kronecker delta, Permutation symbolPDF unavailable
18Lec 18: Second order tensor; Gradient, Divergence, Curl and Laplacian in Indicial notation PDF unavailable
19Lec 19: Gauss Divergence theorem and its application in Heat transfer and Structural analysisPDF unavailable
20Lec 20: Derivation of weak form of 2D steady-state heat conduction problemPDF unavailable
21Lec 21: Triangular element, calculating element stiffness and element force vectorPDF unavailable
22Lec 22: Numerical example, assembly, mappingPDF unavailable