Course overview
The objective of this course is to provide students with a thorough understanding of the theory of Finite Element Method and its and application to structural element problems. Topics include basic concepts of continuum mechanics with a focus on elasticity theory and energy principles; shape functions for higher and lower order triangular, rectangular, tetrahedral, hexahedral and isoprametric elements; Newton cotes and Gauss quadrature techniques for numerical integration; formulation of different finite element matrices for plane stress, plane strain, axisymmetric, plate bending and shell structures; mesh refinements and convergence study. Students will develop their own computer program and will also use commercially available finite element software for analysing different type of structures.
Course learning outcomes
- Understand the fundamental concepts and theories of the Finite Element Methods for analysis of 2D and 3D problems in engineering, including structures such as beams, trusses, 2D plane stress/strain and axisymmetric problems, plates and shells and 3D solids
- Apply these concepts and theories of the Finite Element Methods in performing hand calculations as well as using computer programs for structural analysis of the above problems, and assess the potential errors and accuracy of Finite Element solutions
- Demonstrate ability in developing computer programs for skeletal structures, continuum 2D/3D problems and plate and shells
- Use commercially available software to analyse continuum as well as skeletal structures
- Demonstrate ability in problem identification, formulation and its solution for relevant structures and solid mechanics problems
- Demonstrate ability to manage tasks related to home assignments within the allocated time to meet submission deadlines
- Demonstrate ability to work professionally with other students for group projects on 1) Development and validation of a generalised computer program, 2) Analysis of structures using commercially available software
- Apply life long learning skills