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Finite Element Analysis

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Preview this course
Self-paced Beginner

Finite Element Analysis

4(1581)
109 enrolled
3452 views
FREE
864 min
Anytime
English
3452 views
Team EveryEng
Team EveryEngMechanical Engineering
  • Lifetime access
  • Certificate of completion
  • Foundational Learning
  • Access to Study Materials
Volume pricing for groups of 5+

Why enroll

Participants join this course to gain practical skills in solving real-world engineering problems using simulation instead of costly physical testing. It helps them enhance their design accuracy, improve job opportunities, and build expertise in industry-relevant FEA tools.

Is this course for you?

You should take this if

  • You work in Aerospace or Automotive
  • You're a Mechanical Engineering professional
  • You prefer self-paced learning you can revisit

You should skip if

  • You need a different specialisation outside Mechanical Engineering
  • You need live interaction with an instructor

Course details

This course provides a comprehensive introduction to Finite Element Analysis (FEA), a powerful numerical method used to analyze complex engineering problems. It covers the fundamental principles of discretization, element types, and mesh generation used to model real-world structures and systems. Students will learn how to apply FEA techniques to evaluate stress, strain, deformation, and thermal behavior in components. The course also introduces material properties, boundary conditions, and loading scenarios essential for accurate simulations. Through hands-on exercises, participants will gain experience using industry-relevant FEA software tools. Emphasis is placed on interpreting simulation results and validating them against theoretical and experimental data. The course explores applications across mechanical, civil, and aerospace engineering domains. Advanced topics such as nonlinear analysis, dynamic simulations, and contact problems are also introduced. By the end of the course, learners will be able to build reliable models, run simulations, and make data-driven design decisions. This course is ideal for students and professionals aiming to enhance their engineering analysis and problem-solving skills.

Course suitable for

Key topics covered

  • Introduction to Finite Element Analysis

  • FEA Basics - Governing Differential Equations, Exact Solution and Weighted Residual Methods

  • Weighted Residual Methods - Galerkin, Petrov Galerkin, Subdomain, Least Square & collocation method

  • Shape function and Interpolation function for Cubic Bar Element

  • Truss analysis - example problem

  • Equations of Elasticity

  • 2D Analysis - CST element, derivation of element stiffness

  • 2D Analysis - 4 noded Rectangular element

  • Dynamic Analysis - Transverse Vibration of Beam

  • Dynamic Analysis - Axial Vibration of Rod - Example Problem

Course content

The course is readily available, allowing learners to start and complete it at their own pace.

29 lectures14 hr 24 min
  1. Introduction to Finite Element Analysis
    51 min
  2. FEA Basics - Governing Differential Equations, Exact Solution and Weighted Residual Methods
    49 min
  3. Weighted Residual Methods - Galerkin, Petrov Galerkin, Subdomain, Least Square & collocation method
    63 min
  4. Rayleigh Ritz Method (RR Method)
    35 min
  5. Shape function and Interpolation function for Linear Bar Element
    38 min
  6. Shape function and Interpolation function for Quadratic Bar Element
    34 min
  7. Shape function and Interpolation function for Cubic Bar Element
    33 min
  8. Generation of Element Matrix Equation
    63 min
  9. 1D Steady state Thermal Analysis
    31 min
  10. Truss Analysis - truss element derivation
    20 min
  11. Truss analysis - example problem
    25 min
  12. FEA - Beam Analysis example
    17 min
  13. Equations of Elasticity
    38 min
  14. Plane stress, plane strain & axisymmetric problems
    26 min
  15. 2D Analysis - CST element, derivation of element stiffness
    37 min
  16. 2D Analysis - CST element - example problem
    11 min
  17. 2D Analysis - 4 noded Rectangular element
    24 min
  18. Lagrange and serendipity elements
    24 min
  19. 2D Analysis - 4 Noded Quadrilateral element
    29 min
  20. 2D analysis - Iso parametric elements
    15 min
  21. 2D Analysis - Jacobian Matrix
    32 min
  22. 2D Analysis - 8 noded and 9 noded Quadrilateral elements
    36 min
  23. 2D Analysis - CST element in natural coordinates Part A
    19 min
  24. 2D Analysis - CST element in natural coordinates Part B
    20 min
  25. 2D Analysis - CST element example problem
    21 min
  26. 2D Analysis - 4 Noded Quadrilateral element example problem
    17 min
  27. Dynamic Analysis - Axial Vibration of Rod
    20 min
  28. Dynamic Analysis - Transverse Vibration of Beam
    16 min
  29. Dynamic Analysis - Axial Vibration of Rod - Example Problem
    20 min

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Questions and Answers

A: The right move drives the solution toward mesh-independent behaviour while handling stress gradients correctly; locking the mesh freezes a non-converged answer, swapping element order hides the gradient instead of resolving it, and altering geometry invalidates correlation to the as-built part.

A: The selected option balances accuracy in bending with practical meshing; linear tets are overly stiff in bending, membrane-only shells drop transverse shear and bending effects, and forced hex meshing can distort geometry and introduce new errors.

A: The correct outcome explains why the solver struggles numerically while altering global stiffness; low penalty stiffness causes penetration, frictional issues stem from coefficient choice not stiffness magnitude, and solvers don't silently change integration schemes.

A: The requirement distinguishes onset of permanent deformation from catastrophic failure; data quality alone doesn't drive the split, discretization error isn't handled via code factors, and reporting convenience isn't a design basis.