Real-world engineering problems are often incredibly complex, and finding closed-form solutions or analytical formulas can be nearly impossible. This is where Finite Element Analysis (FEA) comes to the rescue! 😎

In the field of continuum mechanics, the unknown quantities of the mathematical model are the nodal displacements.

The finite element method (FEM) is based on the following matrix equations, illustrated in the GIFs below.

Depending on the type of problems, variations of these equilibrium equations are used to solve different structural issues.