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.

Reading list

Supplementary

Module leaders

Professor Bassam Izzuddin