Learn · Basics of Finite Element Analysis - I
Lecture 36 of 48Week 6
Lecture 36: Boundary conditions for Euler-Bernoulli beam
Prof. Nachiketa Tiwari · IIT Kanpur
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All the lectures
- Lecture 1: Introduction to Finite Element Analysis (FEA)
- Lecture 2: Philosophy of FEA, Nodes , Element and Shape Functions
- Lecture 3: Nodes, Elements and Shape Functions
- Lecture 4: Polynomials as Shape Functions, Weighted Residuals, Element and Assembly level equations
- Lecture 5: Types of Errors in FEA, Overall FEA process, Convergence
- Lecture 6: Strengths of FE Method, Continuity conditions at Interfaces
- Lecture 7: Key concepts and terminologies
- Lecture 8: Weighted integral statements
- Lecture 9: Integration by parts -Review
- Lecture 10: Gradient and Divergence Theorems-Part I
- Lecture 11: Gradient and Divergence Theorems Part-II
- Lecture 12: Functionals
- Lecture 13: Variational Operator
- Lecture 14: Weighted Integral & Weak Formulation
- Lecture 15: Weak Formulation
- Lecture 16: Weak Formulation & Weighted Integral : Principle of minimum potential energy
- Lecture 17: Variational Methods : Rayleigh Ritz Method
- Lecture 18: Rayleigh Ritz Method
- Lecture 19: Method of Weighted Residuals
- Lecture 20: Different types of Weighted Residual Methods - Part I
- Lecture 21: Different types of Weighted Residual Methods - Part II
- Lecture 22: FEA formulation for 2nd order BVP - Part I
- Lecture 23: FEA formulation for 2nd order BVP - Part II
- Lecture 24: Element Level Equations
- Lecture 25: 2nd Order Boundary Value Problem
- Lecture 26: Assembly of element equations
- Lecture 27: Assembly of element equations, and implementation of boundary conditions
- Lecture 28: Assembly process and the connectivity matrix
- Lecture 29: Radially Symmetric Problems
- Lecture 30: One dimensional heat transfer
- Lecture 31: 1D-Heat conduction with convective effects : examples
- Lecture 32: Euler-Bernoulli beam
- Lecture 33: Interpolation functions for Euler-Bernoulli beam
- Lecture 34: Finite element equations for Euler-Bernoulli beam
- Lecture 35: Assembly equations for Euler-Bernoulli beam
- Lecture 36: Boundary conditions for Euler-Bernoulli beam
- Lecture 37 : Shear deformable beams
- Lecture 38 : Finite element formulation for shear deformable beams : Part - I
- Lecture 39 : Finite element formulation for shear deformable beams : Part - II
- Lecture 40 : Equal interpolation but reduced integration element
- Lecture 41 : Eigenvalue problems
- Lecture 42 : Eigenvalue problems : examples
- Lecture 43 : Introduction to time dependent problems
- Lecture 44 : Spatial approximation
- Lecture 45 : Temporal approximation for parabolic problems : Part-I
- Lecture 46 : Temporal approximation for parabolic problems : Part-II
- Lecture 47 : Temporal approximation for hyperbolic problems
- Lecture 48 : Explicit and implicit method, diagonalization of mass matrix, closure