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Mastering Finite Element Analysis: A Comprehensive Guide

Team EveryEng

Team EveryEng

Mechanical Engineering

Rating 4 (1419)
Course typeWatch to learn anytime
Duration 348 Min
Start Access anytime
Language English
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Mastering Finite Element Analysis: A Comprehensive Guide

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Mastering Finite Element Analysis: A Comprehensive Guide

31 Lectures

348 min

  • Quadratic Shape Function

    12 min

  • Steps in FEM

    8 min

  • Strain Displacement Matrix for Triangular element

    7 min

  • Element Stiffness Matrix

    8 min

  • Penalty Approach

    11 min

  • Introduction to Shape Function

    12 min

  • Isoparametric Formulation Numerical

    4 min

  • Elimination Approach

    15 min

  • Direct Stiffness matrix

    11 min

  • 2 D Finite Element Method

    10 min

  • Weighted Residual Method

    18 min

  • Types of Elements in Finite Element Method

    11 min

  • Introduction of Variational Method

    13 min

  • Global stiffness matrix

    18 min

  • Shape function for CST element

    16 min

  • Properties of Stiffness matrix

    11 min

  • Stress ,Strain Relationship Matrix

    10 min

  • Principle of Minimum Potential Energy

    22 min

  • Galerkin Method

    6 min

  • Advantage ,Disadvantage and Application of FEM

    6 min

  • Gauss elimination method

    8 min

  • Strain Displacement Matrix

    7 min

  • Gauss Quadrature Method

    8 min

  • Plane Stress & Plane Strain

    16 min

  • 1 D FEM for Structural Analysis

    9 min

  • Variational method Numerical by Rayleigh Ritz Method

    13 min

  • Shape function in Local and Natural coordinate system

    17 min

  • Isoparametric Formulation for 1-D element

    6 min

  • Sub Domain Method

    8 min

  • Need of Matrix Algebra in FEM

    16 min

  • Properties of Shape Functions

    11 min

Course details

The Finite Element Method (FEM) is a powerful numerical technique used to solve partial differential equations (PDEs) governing physical phenomena across various engineering and scientific disciplines. This course provides a comprehensive introduction to the theory, implementation, and applications of the Finite Element Method. Topics covered include finite element discretization, interpolation functions, assembly of element equations, solution techniques, error estimation, and practical considerations in FEM analysis. Through theoretical lectures, hands-on programming exercises, and real-world applications, students will develop a solid understanding of FEM principles and gain proficiency in applying FEM to solve complex engineering problems.

Course suitable for

  • Automotive
  • Energy & Utilities
  • Chemical & Process
  • Civil & Structural
  • Piping & Layout

Key topics covered

  • Types of Elements in Finite Element Method

  • Advantage ,Disadvantage and Application of FEM

  • Need of Matrix Algebra in FEM

  • Gauss elimination method

  • Direct Stiffness matrix

  • Global stiffness matrix

  • Properties of Stiffness matrix

  • 1 D FEM for Structural Analysis

  • Elimination Approach

  • Penalty Approach

  • Principle of Minimum Potential Energy

  • Introduction to Shape Function

  • Shape function in Local and Natural coordinate system

  • Isoparametric Formulation for 1-D element

  • Properties of Shape Functions

  • Strain Displacement Matrix

  • Quadratic Shape Function

  • Steps in FEM

  • 2 D Finite Element Method

  • Isoparametric Formulation Numerical

  • Element Stiffness Matrix

  • Shape function for CST element

  • Strain Displacement Matrix for Triangular element

  • Stress ,Strain Relationship Matrix

  • Plane Stress & Plane Strain

  • Gauss Quadrature Method

  • Weighted Residual Method

  • Galerkin Method

  • Sub Domain Method

  • Variational Method Introduction

  • Variational method Numerical by Rayleigh Ritz Method

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