Finite Element Method The finite element method (FEM) is a numerical methodfor solving problems of engineering and mathematical physics. It is also referred to as finite element analysis (FEA). Basic steps: Discretization Element analysis. ... System analysis. ... Boundary conditions. ... Finding global displacements. ... Calculation of stresses Applications of FEM Stress/Frequency Analysis of Bridge Crash Analysis of a Vehicle Air Flow: Race Car & Apartment Thermal Analysis: Office Space & Engine Piston One Dimensional Analysis Elements used: Spring, Bar, Truss & Beam Direct stiffness approach Taking inverse of stiffness matrix and multiplying it with force vector will give you the displacement vector. Practice matrix inversion and gauss elimination method for solution. Review: 1. P 2. Explain the basic procedure for FEA: element stiffness matrix, structure equation, applying boundary conditions Review: Explain how FEA software works and list the important elements used for analysis.
