Module Title:   Finite Element Methods (I)

Module Credit:   10

Module Code:   ENG4025M

Teaching Period:   Semester 1

Module Occurrence:   I

Module Level:   FHEQ Level 7

Module Type:   Standard module

Provider:   Engineering

Related Department/Subject Area:   Engineering: Mathematics and Computing (not in use)

Principal Co-ordinator:   Dr George Rosala

Prerequisite(s):   None

Corequisite(s):   None

Aims:
To critically review and evaluate the basic theory of the Finite Elements (FE) method and its application as a tool for engineering analysis.

Learning Teaching & Assessment Strategy:
Lectures, seminars for practical examples and computer laboratory sessions

 Study Hours: Lectures: 12.00 Directed Study: 76.00 Seminars/Tutorials: 12.00 Other: 0.00 Laboratory/Practical: 0.00 Formal Exams: 0.00 Total:   100.00

On successful completion of this module you will be able to...

1 Critical review and evaluation of the fundamentals of the finite element method.

On successful completion of this module you will be able to...

2 Application of the methods to engineering problems and judgement in the interpretation the results.

On successful completion of this module you will be able to...

3 Data management; data presentation; scientific method; data interpretation; IT skills; systematic problem solving.

 001. Assessment Type Duration Percentage Classroom test 2.00 100% Description 2 computer based class assessments under exam conditions 900. Assessment Type Duration Percentage Classroom test 2.00 100% Description Supplementary - computer based assessment under exam conditions

Outline Syllabus:
Overview of applications of FE analysis to a variety of engineering problems. Main steps in the FE analysis (element stiffness matrix, global stiffness matrix, boundary conditions, loads). The direct FE formulations for structural and heat transfer problems. Case studies of bars under uniaxial loads and heat conduction through walls/panels. The variational FE formulations. Use of matrix notation. 1-D structural examples: bars under axial loads. 2-D and 3-D truss and/or beam structural analysis case studies. Two-dimensional domains. Types of 2-D elements. Linear triangles. Case studies of structural analysis involving 2-D elements. Higher order elements. Quadratic isoparametric elements: formulation and characteristics. FE modelling techniques. Sources of errors in FE solutions.

Version No:  2