The Finite Element Method for Structural Analysis (FEM/FEA)
What you'll learn
- Formulation of key types of finite elements, including spring, bar, beam, plane stress and strain, 3D, and shell elements.
- In-depth finite element theory presented in a simple, easy-to-understand way.
- Hands-on practice with FEA software, where each exercise is directly connected to the theory covered.
- Complete FEA structure, covering pre-analysis, model setup, verification, validation, and post-processing.
Requirements
- 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.
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 12 engaging modules, you'll delve deep into the intricacies of FEA and reinforce your knowledge through hands-on workshops (exercises on FEA software). 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 FEM 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: Linear Spring Element
Module 3: Elastic Bar Element
- Bar theory
- Exercise
- Strain Energy
- Castigliano’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: 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: Connecting Lug
Module 12: Shell Elements
- Plate Element Theory
- Plate Element Formulation
- Shell Element Theory
- Workshop 10: Thin Folded Plate
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.
Instructor
- 4.6 Instructor Rating
- 822 Reviews
- 4,035 Students
- 4 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.