ME 460 - Finite Element Methods

• Understand steps involved in FEA analysis
• Understand how finite element equations are developed from both equilibrium and energy methods
• Solve simple FE problems by hand
• Understand why certain element types are used for different types of analyses
• Be familiar with the use of a commercial general-purpose FEA package
• Understand how FEA can be used in the design process

• Mechanics of materials, statics, integral and differential calculus

• Overview of method (1 class)
• Review of matrix methods (1 class)
• Spring elements (2 classes)
• Truss elements (2 classes)
• Potential energy approach (5 classes)
• Beam element (3 classes)
• Constant strain triangle element (4 classes)
• Heat transfer application (2 classes)
• Interpretation of results & mesh design (2 classes)
• Discussion of symmetry and boundary conditions (2 classes)
• Overview of commercial software (1 class)
• Advanced element formulations (3 classes)

• Introduction to FE program (with simple 1-D truss element)
• Stress concentration in a plate with a hole
• 3-D truss analysis
• 1D cubic beam bending of a frame analysis
• Plane stress analysis with two-dimensional continuum elements
• Plate analysis
• Mesh design & refinement
• 2D steady-state heat transfer, thermal analysis and/or torsion
• Solid modeling input to FE commercial software
• Design project