Strength of Materials 4Laajuus (3 ECTS)

Objective

The student learns the basics of the finite element method and can perform linear static analyses using commercial finite element software.

Content

1. Introduction to the finite element method
2. Spring element
3. Bar element
4. Beam element
5. Solving for displacements, computing reaction forces and element forces
6. Use of commercial finite element software.

Qualifications

Statics 1, Statics 2, Strength of Materials 1, Strength of Materials 2

Assessment criteria, satisfactory (1)

1. The student is able to discretise bar structure, formulate elements' stiffness matrixes and summon stiffness matrix of a structure and solve unknown node transitions.
2. The student is able to calculate support reactions of a bar structure and internal forces of elements
3. The student is able to carry out linear static analyses with FEM-programme.

Assessment criteria, good (3)

1. The student is able to discretize bar structure, formulate elements' stifness matrices and compile stiffness matrices of a structure and solve unknown node transitions.
2. The student is able to calculate support reactions of a bar structure and internal forces of elements
3. The student is able to design a basic FEM-programme
4. The student is able to carry out linear static analyses with the programme FEM and analyse results

Assessment criteria, excellent (5)

1. The student is able to discretise grid- and ring structure, formulate stiffness matrices for elements and assemble structure's stiffness matrice and solve unknown node transitions.
2. The student is able to calculate support reactions of grid and ring structure and internal forces for elements and draw stress patterns on the basis of those calculations
3. The student is able to calculate stress on the basis of the elements' internal forces
4. The student is able to design a basic FEM-programme, knows how it works and can analyse results
5. The student is able to carry out linear static analyses with FEM, can analyse the reliability and validity of results