Finite Element Method in Structural Analysis

When dimensioning large, complicated structures, the Finite Element Method (FEM) is used to calculate stresses and strains in different parts of the structure. The course provides the theoretical basis for the finite element method and describes the different types of elements used in the modelling of frames, beams, discs, plates, shells and massive structures. The course shows how the fundamental linear theory behind the method, combined with numerical calculations, predicts displacements, strains and stresses. The properties of the elements, convergence requirements and modelling errors are also addressed. In the modelling of structures, emphasis is placed on the choice of element types, the application of loads and the introduction of boundary conditions, as well as the verification of the final analysis results.

To give students a deeper understanding of the theory, a compulsory project assignment is included where a simple structure is analysed using FEM software.

No formal requirements over and above the admission requirements.

The course is based on knowledge acquired in the course BYVE3300 Statics, part of the bachelor's degree programme in civil engineering (OsloMet), or a course with a equivalent learning outcomes.

No formal requirements over and above the admission requirements.

After completing the course, the student is expected to have achieved the following learning outcomes defined in terms of knowledge, skills and general competence:

Knowledge:

The student:

• has in-depth knowledge of the theoretical basis of the finite element method
• has in-depth knowledge of matrices and load vectors
• has advanced knowledge of numerical integration methods and convergence criteria
• has advanced knowledge of the formulation of element types for the modelling of beams, discs, plates, shells and massive (three-dimensional) structures for linear static structural analysis.

Skills:

The student:

• is capable of calculating stiffness matrices and load vectors for elements, understanding stiffness relationships for a structure and assembling the stiffness matrix of a structure based on the stiffness matrices of the individual elements
• is capable of using FEM software to perform linear static analyses of simple structural systems.

General competence:

The student:

• is familiar with the basis for the finite element method for solving structural problems
• understands the need for and use of the finite element method as an analysis and dimensioning tool
• is familiar with the calculation process involved in the finite element method, and its limitations
• is capable of evaluating the results of finite element method calculations.

The teaching will consist of lectures, voluntary and compulsory exercises building on the theory being taught, and a compulsory individual assignment (project).

An individual assignment (project) and at least 80 % of the compulsory home exercises must be approved in order for students to be able to take the exam. Thematically, the project assignment will concern an analysis of a simple structure using FEM software, with a scope of approximately 20 pages. Students who fail to meet the coursework requirements can be given up to one re-submission opportunity before the exam.

Type of assessment:

1) Individual written exam (three hours), weighted 65%

2) Project report (individual work for every student), weighted 35%

All assessment parts must be awarded a pass grade (E or better) in order for the student to pass the course. Students must be awarded an E or better on their project report to be allowed to take the written exam.

Assessment parts: 1) and 2) may be appealed.

All printed and written aids and a calculator that cannot be used to communicate with others.

A grade scale with grades from A to E for pass (with A being the highest grade and E being the lowest pass grade) and F for fail is used in connection with the final assessment.

One internal examiner.

External examiners are used regularly.

Vagelis Plevris