## Finite Element Analysis

### Module aims

• To present the finite element method for structural analysis, to investigate the accuracy and convergence characteristics of various finite elements.
• To consider modelling strategies for improved accuracy and efficiency.
• To encourage the use of finite element software for advanced structural analysis.

### Learning outcomes

On successfully completing this course unit, students will be able to:

• Appreciate the use of hierarchic subdivision processes in tackling complex problems.
• Understand the formulation of typical finite elements for structural analysis and the associated sources of approximation.
• Use finite element analysis software.
• Use computers for simulations.
• Apply techniques of linear algebra.

### Module syllabus

• Introduction to the finite element method.
• One-dimensional element formulation for beams and frames.
• Two-dimensional plane stress/strain formulations.
• Higher-order formulations for plane stress/strain analysis.
• Error estimation and adaptivity in finite element analysis.
• Plate bending elements.
• Application of finite element analysis program ANSYS to structural engineering problems.
 No. Topic Staff 01 Lecture: Introduction to the finite element method BAI 02 Lecture: One-dimensional element formulation for beams and frames Tutorial BAI 03 Lecture: Two-dimensional plane stress/strain formulations Computer lab BAI 04 Lecture: Two-dimensional plane stress/strain formulations Tutorial BAI 05 Lecture: Higher-order formulations for plane stress/strain analysis BAI 06 Lecture: Higher-order formulations for plane stress/strain analysis Tutorial BAI 07 Lecture: Error estimation and adaptivity in finite element analysis Project BAI 08 Lecture: Plate bending elements Project BAI 09 Lecture: Plate bending elements Project Computer lab BAI 10 Lecture/Tutorial/Project Computer lab BAI

### Teaching methods

Handouts are provided for the various topics, and extensive use is made of interactive PowerPoint to elaborate on concepts and application issues. All material, including handouts, PowerPoint lecture notes and solutions to tutorial problems, are placed on Blackboard Learn for student access. Computer laboratory sessions are also provided making use of screen projection to introduce finite element analysis software.

### Assessments

Assessment is by written examination and project coursework, with respective marks split of 80:20.