The Finite Element Method (FEM/FEA)

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Engineer Renato C.

30:50:43

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1. Introduction

1. Introduction.mp4

13:53

2. Software Installation Guide.mp4

09:36

3. Workshop 01 - Pre-analysis.mp4

05:09

4. Workshop 01 - Bike Crank - Define Material and Save the Project.mp4

07:39

5. Workshop 01 - Bike Crank - Geometry.mp4

12:04

6. Workshop 01 - Bike Crank - Setup, Solution and Post-Processing.mp4

17:50

7. Workshop 01 - Bike Crank - Verification, Part 1.mp4

08:56

8. Workshop 01 - Bike Crank - Verification, Part 2.mp4

14:42

2. Linear Elastic Spring Element

1. Linear Elastic Spring Element.mp4

11:45

2. System Assembly in Global Coordinates.mp4

12:46

3. Exercises - Part 1.mp4

06:25

4. Exercises - Part 2.mp4

11:41

5. Workshop 02 - Problem Specification and Pre-analysis.mp4

05:42

6. Workshop 02 - Material and Geometry.mp4

06:23

7. Workshop 02 - Creating the Springs and Mesh.mp4

12:21

8. Workshop 02 - Applying BCs, Solving the Model and Post-processing.mp4

09:24

9. Workshop 02 - Verification.mp4

02:16

10. Workshop 02 - ANSYS Help.mp4

05:20

3. Elastic Bar Element

1. Elastic Bar Element.mp4

11:34

2. Exercise.mp4

10:56

3. Strain Energy.mp4

06:39

4. Castiglianos First Theorem.mp4

15:58

5. Minimum Potential Energy.mp4

09:39

6. Workshop 03 - Problem Specification and Pre-analysis.mp4

17:19

7. Workshop 03 - Creating Material.mp4

03:52

8. Workshop 03 - Creating the Geometry.mp4

08:01

9. Workshop 03 - Analysis Setup on Mechanical.mp4

20:32

10. Workshop 03 - Post-processing results.mp4

13:05

11. Workshop 03 - Verification.mp4

05:22

4. Truss Structures

1. Nodal Equilibrium Equations - Part 1.mp4

18:12

2. Nodal Equilibrium Equations - Part 2.mp4

15:50

3. Nodal Equilibrium Equations - Part 3.mp4

09:57

4. Element Transformation.mp4

15:18

5. Direct Assembly of Stiffness Matrix - Part 1.mp4

08:24

6. Direct Assembly of Stiffness Matrix - Part 2.mp4

05:59

7. Direct Assembly of Stiffness Matrix - Part 3.mp4

08:16

8. Boundary Conditions, Constraint Forces.mp4

09:50

9. Element Strain and Stress - Part 1.mp4

03:53

10. Element Strain and Stress - Part 2.mp4

15:08

11. Comprehensive Example - Part 1.mp4

14:59

12. Comprehensive Example - Part 2.mp4

13:35

13. Comprehensive Example - Part 3.mp4

26:42

14. Three dimensional Trusses - Part 1.mp4

12:41

15. Three dimensional Trusses - Part 2.mp4

15:36

16. Workshop 04 - Problem Specification and Pre-analysis.mp4

08:19

17. Workshop 04 - Solving using Excel.mp4

12:48

18. Workshop 04 - Creating Geometry.mp4

19:43

19. Workshop 04 - Define Material and Create Mesh.mp4

10:17

20. Workshop 04 - Apply Boundary Conditions and Solve the Model.mp4

15:20

21. Workshop 04 - Post-processing.mp4

15:08

22. Workshop 04 - Verification.mp4

04:34

5. Beam Element

1. Elementary Beam Theory - Part 1.mp4

12:44

2. Elementary Beam Theory - Part 2.mp4

09:37

3. Elementary Beam Theory - Part 3.mp4

12:47

4. Beam Element.mp4

15:11

5. Beam Element Stiffness Matrix - Part 1.mp4

10:08

6. Beam Element Stiffness Matrix - Part 2.mp4

11:00

7. Beam Element Stiffness Matrix - Part 3.mp4

15:06

8. Element Load Vector and Exercise - Part 1.mp4

11:55

9. Element Load Vector and Exercise - Part 2.mp4

13:02

10. Element Load Vector and Exercise - Part 3.mp4

11:12

11. Work Equivalence for Distributed Loads - Part 1.mp4

11:08

12. Work Equivalence for Distributed Loads - Part 2.mp4

06:56

13. Work Equivalence for Distributed Loads - Part 3.mp4

15:22

14. Flexure Element with Axial Loading - Part 1.mp4

11:31

15. Flexure Element with Axial Loading - Part 2.mp4

15:12

16. Flexure Element with Axial Loading - Part 3.mp4

31:04

17. A General Three Dimensional Beam Element - Part 1.mp4

11:26

18. A General Three Dimensional Beam Element - Part 2.mp4

11:59

19. Simple Beam Element Example on FEA Software.mp4

29:47

20. Workshop 05 - Problem Specification.mp4

09:17

21. Workshop 05 - Pre-analysis.mp4

10:10

22. Workshop 05 - Define Material.mp4

08:45

23. Workshop 05 - Define Geometry.mp4

18:23

24. Workshop 05 - Generate Mesh.mp4

14:23

25. Workshop 05 - Define Boundary Conditions and Solve.mp4

11:38

26. Workshop 05 - Post-processing, Part 1.mp4

13:01

27. Workshop 05 - Post-processing, Part 2.mp4

11:46

28. Workshop 05 - Post-processing, Part 3.mp4

13:33

29. Workshop 05 - Verification.mp4

16:17

6. Equations of Elasticity

1. Strain-Displacement Relations, Part 1.mp4

19:39

2. Strain-Displacement Relations, Part 2.mp4

15:45

3. Stress-Strain Relations.mp4

19:57

4. Equilibrium Equations, Part 1.mp4

13:05

5. Equilibrium Equations, Part 2.mp4

15:22

6. Equilibrium Equations, Part 3.mp4

13:45

7. Summary.mp4

02:40

7. Matrix Mathematics and Solution Techniques for Linear Algebraic Equations

1. Matrix Mathematics - Part 1.mp4

08:08

2. Matrix Mathametics - Part 2.mp4

12:33

3. Matrix Mathematics - Part 3.mp4

14:10

4. Solution Techniques for Linear Algebraic Equations - Part 1.mp4

16:44

5. Solution Techniques for Linear Algebraic Equations - Part 2.mp4

22:49

6. Solution Techniques for Linear Algebraic Equations - Part 3.mp4

14:56

8. Plane Stress

1. Equations of Elasticity for Plane Stress Part 1.mp4

08:57

2. Equations of Elasticity for Plane Stress Part 2.mp4

10:32

3. Equations of Elasticity for Plane Stress Part 3.mp4

08:24

4. Finite Element Formulation - Constant Strain Triangle - Part 1.mp4

14:46

5. Finite Element Formulation - Constant Strain Triangle - Part 2.mp4

11:09

6. Finite Element Formulation - Constant Strain Triangle - Part 3.mp4

13:38

7. Stiffness Matrix Evaluation.mp4

17:55

8. Distributed Loads - Part 1.mp4

25:55

9. Distributed Loads - Part 2.mp4

12:43

10. Body Forces - Part 1.mp4

10:44

11. Body Forces - Part 2.mp4

14:02

12. Beam Example - Part 1.mp4

13:34

13. Beam Example - Part 2.mp4

13:27

14. Beam Example - Part 3.mp4

14:19

15. Beam Example - Part 4.mp4

15:55

16. Workshop 06 - Problem Specification and Pre-analysis.mp4

11:53

17. Workshop 06 - Define Material and Geometry.mp4

14:04

18. Workshop 06 - First configurations on Mechanical.mp4

10:39

19. Workshop 06 - Generate Mesh.mp4

11:35

20. Workshop 06 - Define BCs and Solve Mathematical Model.mp4

08:17

21. Workshop 06 - Post-Process Results.mp4

12:01

22. Workshop 06 - Verification - Part 1.mp4

21:57

23. Workshop 06 - Verification - Part 2.mp4

23:40

9. Plane Strain

1. Equations of Elasticity for Plane Strain - Part 1.mp4

10:32

2. Equations of Elasticity for Plane Strain - Part 2.mp4

08:17

3. Finite Element Formulation of 4-node rectangle - Part 1.mp4

15:47

4. Finite Element Formulation of 4-node rectangle - Part 2.mp4

15:44

5. Finite Element Formulation of 4-node rectangle - Part 3.mp4

18:25

6. Finite Element Formulation of 4-node rectangle - Part 4.mp4

21:37

7. Finite Element Formulation of 4-node rectangle - Part 5.mp4

15:33

8. Numerical Integration - Gaussian Quadrature - Part 1.mp4

13:29

9. Numerical Integration - Gaussian Quadrature - Part 2.mp4

19:09

10. Workshop 07 - Problem Specification and Pre-analysis.mp4

18:48

11. Workshop 07 - Creating Geometry.mp4

09:24

12. Workshop 07 - Start setting up mathematical model.mp4

08:25

13. Workshop 07 - Finish setting up mathematical model and solve.mp4

13:57

14. Workshop 07 - Verification - Part 1.mp4

10:42

15. Workshop 07 - Verification - Part 2.mp4

12:07

16. Workshop 07 - Verification - Part 3.mp4

09:09

17. Workshop 07 - Introduction to Singularities.mp4

10:50

10. Isoparametric Formulation

1. Isoparametric Formulation - Four node quadrilateral element - Part 1.mp4

12:25

2. Isoparametric Formulation - Four node quadrilateral element - Part 2.mp4

10:32

3. Isoparametric Formulation - Four node quadrilateral element - Part 3.mp4

17:11

4. Isoparametric Formulation - Four node quadrilateral element - Part 4.mp4

15:35

5. Isoparametric Formulation - Four node quadrilateral element - Part 5.mp4

17:42

6. Isoparametric Formulation - Four node quadrilateral element - Exercise.mp4

21:24

7. Isoparametric Formulation - Singularity of the Jacobian Matrix.mp4

05:44

8. Isoparametric Formulation - Conclusion.mp4

10:28

9. Isoparametric Formulation - Ansys Exercise.mp4

26:30

Description

From Novice to Pro: FEA Proficiency Unleashed

What You'll Learn?

Uncover the theory underpinning finite element method and gain hands-on experience with commercial software, demystifying its inner workings.
Learn the foundations of finite element analysis and unlock the secrets behind commercial software, making it a transparent tool in your engineering arsenal.
Bridge the gap between theory and practice as you navigate the finite element method, enhancing your ability to decipher the mechanics of commercial software.
Equip yourself with a deep understanding of finite element theory and practical software proficiency, ensuring you're not limited by 'black box' solutions.

Who is this for?

Engineering and Science Students: This course is primarily aimed at undergraduate and graduate students studying engineering disciplines, such as mechanical, civil, aerospace, or materials engineering. It's also relevant to students in related scientific fields.

Engineering Professionals: Engineers and professionals who want to deepen their understanding of the finite element method theory and gain insights into the inner workings of commercial software tools can benefit from this course.

Researchers: Researchers in engineering and scientific fields who need to use finite element analysis as part of their research projects can enhance their skills and knowledge through this course.

Career Advancers: Individuals looking to advance their careers in industries where finite element analysis is widely used, such as automotive, aerospace, structural design, and manufacturing.

Curious Learners: Anyone with a genuine interest in understanding the theoretical foundations behind engineering simulations and software tools, even if they are not pursuing formal education or a career in engineering.

What You Need to Know?

Basic Engineering Knowledge: Students should have a fundamental understanding of engineering principles, including mathematics, physics, and mechanics.

A Willingness to Learn: An eagerness to dive deep into the theoretical concepts and commit to hands-on practice is crucial for success in this course.

More details

Description
Unlock the power of Finite Element Analysis (FEA) in structural engineering with our comprehensive course, designed to take you from theory to practical proficiency. Over 11 engaging modules, you'll delve deep into the intricacies of FEA and reinforce your knowledge through hands-on workshops. Whether you're a novice looking to start your journey or a seasoned professional seeking to refine your skills, this course has something valuable to offer at every level.

Module 1: Introduction to Finite Element Analysis
- Fundamental Concepts
- Why is FEMÂ so important?
- Workshop 01: Building Your First Finite Element Model: Bike Crank

Module 2: Linear Elastic Spring Element
- Spring theory
- System Assembly in Global Coordinates
- Exercises
- Workshop 02:Â Linear Spring Element

Module 3: Elastic Bar Element
- Bar theory
- Exercise
- Strain Energy
- Castiglianoâ€™s First Theorem
- Minimum Potential Energy
- Workshop 03: Linear Bar Element

Module 4: Truss Structures
- Nodal Equilibrium Equations
- Element Transformation
- Direct Assembly of Global Stiffness Matrix
- Boundary Conditions, Constraint Forces
- Element Strain and Stress
- Comprehensive Example
- Three dimensional Trusses
- Workshop 04: 2D Truss Structure

Module 5: Beam Element
- Elementary Beam Theory
- Beam Element
- Beam Element Stiffness Matrix
- Element Load Vector
- Work Equivalence for Distributed Loads
- Flexure Element with Axial Loading
- A General Three-Dimensional Beam Element
- Workshop 05: Beam Element

Module 6: Equations of Elasticity
- Strain-Displacement Relations
- Stress-Strain Relations
- Equilibrium Equations
- Summary

Module 7: Matrix Mathematics and Solution Techniques for Linear Algebraic Equations
- Matrix Mathematics
- Solution Techniques for Linear Algebraic Equations

Module 8: Plane Stress
- Equations of Elasticity for Plane Stress
- Finite Element Formulation: Constant Strain Triangle
- Stiffness Matrix Evaluation
- Distributed Loads
- Body Forces
- Workshop 06:Â Rectangular Plate with Central Circular Hole

Module 9: Plane Strain
- Equations of Elasticity for Plane Strain
- Finite Element Formulation: Four-node Rectangle
- Numerical Integration: Gaussian Quadrature
- Workshop 07: C-Clamp

Module 10: Isoparametric Formulation
- Four-node quadrilateral element
- Exercise
- Singularity of the Jacobian Matrix

Module 11: General Three-Dimensional Stress Elements
- Introduction
- Equations of Elasticity
- Finite Element Formulation
- Example: 4-node Tetrahedral
- Stress and Strain Computation
- Workshop 08:Â Connecting Lug

Throughout this course, you'll receive expert guidance, learn best practices, and gain practical experience to tackle real-world structural analysis challenges confidently. Don't miss this opportunity to become a proficient Finite Element Analysis practitioner and enhance your career in structural engineering. Join us today and embark on a journey toward mastering FEA.
Who this course is for:
Engineering and Science Students: This course is primarily aimed at undergraduate and graduate students studying engineering disciplines, such as mechanical, civil, aerospace, or materials engineering. It's also relevant to students in related scientific fields.
Engineering Professionals: Engineers and professionals who want to deepen their understanding of the finite element method theory and gain insights into the inner workings of commercial software tools can benefit from this course.
Researchers: Researchers in engineering and scientific fields who need to use finite element analysis as part of their research projects can enhance their skills and knowledge through this course.
Career Advancers: Individuals looking to advance their careers in industries where finite element analysis is widely used, such as automotive, aerospace, structural design, and manufacturing.
Curious Learners: Anyone with a genuine interest in understanding the theoretical foundations behind engineering simulations and software tools, even if they are not pursuing formal education or a career in engineering.

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Automotive Engineering

Engineer Renato C.

Instructor's Courses

As a CAE Engineer specializing in Finite Element Analysis (FEM) for structural applications, I have the privilege of working at Stellantis, where I conduct a diverse range of analyses, including PG Durability (Fatigue), Strength (Buckling), Joint Integrity, Misuse, and Explicit Dynamic analysis for Washout events, among others. My role also involves the development of training courses focused on FEM methodologies, mechanical fatigue analysis, steel structure design, and various related subjects. My unwavering passion for all things CAE fuels my commitment to delivering excellence in every aspect of my work.

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