The Finite Element Method (FEM) | Part 2: Simple Springs (1)

In this comprehensive tutorial, we dive into chapter 2 of "A First Course in the Finite Element Method", covering the direct stiffness method for structural analysis. We explain the difference between global and local stiffness, then introduce the spring local stiffness concept, and provide detailed examples to illustrate each step. We also cover the assembly of global stiffness, application of boundary conditions, and a full example demonstrating the method in action. Whether you're a beginner or an experienced engineer, this tutorial offers a solid understanding of the direct stiffness method and how to apply it to solve structural analysis problems. So, sit back, relax, and let's get started! Timestamps: 0:00 Introduction 4:31 Global vs Local 7:15 Spring Local Stiffness 26:35 Example 28:04 Direct Stiffness Method 29:35 Example Cont'd 32:07 Assembly of Global Stiffness 40:43 Boundary Conditions 43:40 Application of BC 48:11 Full Example 1:04:07 Outro