Modules / Lectures

Module Name | Download |
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Sl.No | Chapter Name | MP4 Download |
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1 | Lec 1: Functional, First variation, Euler Lagrange equation; Several Dependent variables | Download |

2 | Lec 2: Functional with higher order derivatives; Variational statement | Download |

3 | Lec 3: Differential equation, Variational statement and Minimization problem; Rayleigh-Ritz method | Download |

4 | Lec 4: FEM steps: Explained with discrete linear springs; Gaussian Quadrature rule for integration | Download |

5 | Lec 5: Solving one Ordinary Differential Equation using Linear Finite Element | Download |

6 | Lec 6: Solving one Ordinary Differential Equation using Quadratic Finite Element | Download |

7 | Lec 7: Bar Element: Elemental equation; Matlab Implementation with Example | Download |

8 | Lec 8: Bar Element: Postprocessing; Comparison with Analytical Solution; Bar with linear springs | Download |

9 | Lec 9: Truss Element: Elemental equation; Matlab Implementation with Example | Download |

10 | Lec 10: Beam Element: Variational statement; Hermite shape function | Download |

11 | Lec 11: Beam Element: Elemental equation; Matlab implementation with Example | Download |

12 | Lec 12: Beam Element: Matlab implementation for the example with Non-uniform distributed load | Download |

13 | Lec 13: Frame Element: Derivation of elemental equation in global reference frame | Download |

14 | Lec 14: Frame Element: Matlab implementation with one Example | Download |

15 | Lec 15: Generalization of Geometry data; Stiffness matrix, Load vector formation at element level | Download |

16 | Lec 16: Generalization of Assembly, Imposition of Boundary condition and Load information | Download |

17 | Lec 17: Indicial Notation: Summation convention, Kronecker delta, Permutation symbol | Download |

18 | Lec 18: Second order tensor; Gradient, Divergence, Curl and Laplacian in Indicial notation | Download |

19 | Lec 19: Gauss Divergence theorem and its application in Heat transfer and Structural analysis | Download |

20 | Lec 20: Derivation of weak form of 2D steady-state heat conduction problem | Download |

21 | Lec 21: Triangular element, calculating element stiffness and element force vector | Download |

22 | Lec 22: Numerical example, assembly, mapping | Download |

Sl.No | Chapter Name | English |
---|---|---|

1 | Lec 1: Functional, First variation, Euler Lagrange equation; Several Dependent variables | PDF unavailable |

2 | Lec 2: Functional with higher order derivatives; Variational statement | PDF unavailable |

3 | Lec 3: Differential equation, Variational statement and Minimization problem; Rayleigh-Ritz method | PDF unavailable |

4 | Lec 4: FEM steps: Explained with discrete linear springs; Gaussian Quadrature rule for integration | PDF unavailable |

5 | Lec 5: Solving one Ordinary Differential Equation using Linear Finite Element | PDF unavailable |

6 | Lec 6: Solving one Ordinary Differential Equation using Quadratic Finite Element | PDF unavailable |

7 | Lec 7: Bar Element: Elemental equation; Matlab Implementation with Example | PDF unavailable |

8 | Lec 8: Bar Element: Postprocessing; Comparison with Analytical Solution; Bar with linear springs | PDF unavailable |

9 | Lec 9: Truss Element: Elemental equation; Matlab Implementation with Example | PDF unavailable |

10 | Lec 10: Beam Element: Variational statement; Hermite shape function | PDF unavailable |

11 | Lec 11: Beam Element: Elemental equation; Matlab implementation with Example | PDF unavailable |

12 | Lec 12: Beam Element: Matlab implementation for the example with Non-uniform distributed load | PDF unavailable |

13 | Lec 13: Frame Element: Derivation of elemental equation in global reference frame | PDF unavailable |

14 | Lec 14: Frame Element: Matlab implementation with one Example | PDF unavailable |

15 | Lec 15: Generalization of Geometry data; Stiffness matrix, Load vector formation at element level | PDF unavailable |

16 | Lec 16: Generalization of Assembly, Imposition of Boundary condition and Load information | PDF unavailable |

17 | Lec 17: Indicial Notation: Summation convention, Kronecker delta, Permutation symbol | PDF unavailable |

18 | Lec 18: Second order tensor; Gradient, Divergence, Curl and Laplacian in Indicial notation | PDF unavailable |

19 | Lec 19: Gauss Divergence theorem and its application in Heat transfer and Structural analysis | PDF unavailable |

20 | Lec 20: Derivation of weak form of 2D steady-state heat conduction problem | PDF unavailable |

21 | Lec 21: Triangular element, calculating element stiffness and element force vector | PDF unavailable |

22 | Lec 22: Numerical example, assembly, mapping | PDF unavailable |

Sl.No | Language | Book link |
---|---|---|

1 | English | Not Available |

2 | Bengali | Not Available |

3 | Gujarati | Not Available |

4 | Hindi | Not Available |

5 | Kannada | Not Available |

6 | Malayalam | Not Available |

7 | Marathi | Not Available |

8 | Tamil | Not Available |

9 | Telugu | Not Available |