FEM (3cr)

Objective

Students will be competent in making finite element models for bar structures. They will be capable of solving displacements and internal forces of a bar structure by the finite element method.

Content

- Principles of the finite element method
- Forming finite element model
- Beam, truss and frame elements
- Degrees of freedom
- Stiffness matrix and load vectors
- Nodal forces
- Equilibrium equations of nodal forces
- Internal forces of elements
- Effect of support movement
- Temperature effects

Materials

Lecturer’s own material.

Teaching methods

Lectures, calculation exercises and homework.

Student workload

Total work load of the course: 80 h

Assessment criteria, satisfactory (1)

The student is able to determine equilibrium equations of nodal forces of simple bar structures.

Assessment criteria, good (3)

The student is able to apply the finite element method of bar structures to determine and solve stresses and displacements of different beams, trusses and frames. The student is able to determine the critical load of simple bar structures.

Assessment criteria, excellent (5)

The student is able to apply very well the finite element method of bar structures to solve displacements and stresses of different beams, trusses and frames. The student is able to determine the critical load of more complex bar structures.