Finite Element Method (B-KUL-JPI0TW)

3 ECTSEnglishFirst term
OC Bouwkunde - Campus Gent

LEARNING RESULTS
Knowledge and insight (MK):
MK1: Scientific-disciplinary knowledge and insight:

Engineering skills (MI)
MI1: Problem solving and analysis
MI2: Design and/or development

Practical skills (MP)
MP1: Operationalization
Generic skills (MG)

MG3: Critical reflection


EXPLANATION & GOALS
The use of the finite element method for the analysis of a civil engineering structure requires a scientific and systematic approach: modelling of the structure (choice of elements, discretization,…), boundary conditions, load, check and interpretation of results. The student understands the mathematical background of this numerical method (MP1). The student is able to make use of the finite element software in a correct way and is critical towards the
interpretation of results (MG3).
The finite element method is an extremely suitable tool to find solutions for complex problems of structures with complex shapes and/or boundary conditions where no analytical solutions are available. To translate a practical structural problem to a problem that that can be analysed by means of the finite element method a number of responsible choices need to be made. The student should be able to address this systematically and ask the right questions when solving complex problems for which the finite element method offers a solution (MI1).
When modelling a structure using the finite element method, a large number of assumptions have to be made, of which the student must be able to estimate the influence on the results (MG3): uncertainty on the material properties, uncertainty about the boundary conditions, choice of suitable element types, solution method,....
The finite element method tries to make a model of a structure that describes the real behaviour with sufficient precision (depending on the application). It is important that the student knows the possibilities but also the limitations of this model well (MG3). This requires a thorough understanding of the assumptions of each element type. The impact of the discretization of the problem area should also be assessed.
Based on these finite element models, the student is able to check designs and adjust them if necessary (MI2).
The assumptions and mathematical formulation are discussed during the development of the different element types. During the exercises, students are confronted with practical problems, for which this knowledge must be applied. The student's insight is also examined in a practical application during the exam.

Based on the student’s individual record, the admissions board will decide if the student is allowed to follow the selected course.

This course is identical to the following courses:
JPI0D8 : Eindige elementen methode

Activities

2.5 ects. Finite Element Method: Lectures (B-KUL-JLI0V8)

2.5 ECTSEnglishFormat: AssignmentFirst term
OC Bouwkunde - Campus Gent

1.Introduction finite element method
Applications
Example finite element analysis
Calculation procedure

2. Springs
System equations via node equilibrium
System equations via assembly of element equations
Features stiffness matrix
Boundary conditions
Solution system equations

3. Trusses
Shape functions
Element stiffness matrix in local coordinates via virtual work principle
Element stiffness matrix in global coordinates
Applications

4. Beams
Shape functions
Element stiffness matrix in local coordinates via strength of materials
Element stiffness matrix in local coordinates via virtual work principle
Element stiffness matrix in local coordinates in global coordinates
Applications

5. Twodimensional problems
Plane strain or plane stress
Finite elements: triangles and rectangular
Applications

6. Plates
Theoretical background (Kirchhoff, Mindlin)
Applications

7. Numerical aspects

Powerpoint presentation (available via Toledo)
Coursetext

self-study

0.5 ects. Finite Element Method: Exercises (B-KUL-JLI0V9)

0.5 ECTSEnglishFormat: AssignmentFirst term
OC Bouwkunde - Campus Gent

Exercise 1: Spring systems
Exercise 2: Trusses
Exercise 3 & 4: Beams
Exercise 5 & 6: Examination exercise

Exercises via TOLEDO

self-study

Evaluation

Evaluation: Finite Element Method (B-KUL-JVI0TX)

Type : Exam during the examination period
Description of evaluation : Written
Type of questions : Open questions
Learning material : Course material, List of formulas, Calculator, Reference work


Written exam with use of the course material
The exam is mainly an exercise exam with similar exercises as discussed in the classroom and in the exercise sessions (+- 3/4 of the points). In addition, a number of theoretical insight questions are asked. An example of examination
assignments is dealt with both in class and in the exercise sessions. For example:

  • Analysis small 2D-construction made up of beams, rods and springs
  • Determination of element K (row, column) of a larger beam or framework structure.
  • Application virtual work principle
  • Application triangular element

Distribution of points according to the OLAs.
1 exam for lectures and exercises (3SP)