This course deals with the finite element method and its applications to practical problems in Infrastructure and Civil engineering.
The aim of this course is to give basic knowledge about the Finite Element Method and knowledge of how to model real structures such as bridges and buildings with FEM. An important goal of the course is to teach students to use a commercial FEM program by analysing practical problems.
Content and learning outcomes
multiaxial strains and stresses, principal stresses
dynamics: natural frequency, damping and resonance for simple systems
discretization, interpolation functions, elements, nodes and degrees of freedom
internal and external work, virtual work
assembling, stiffness matrix
derivation of 2D beam element and 4-node plane element
description of the properties of plate, shell and 3D solid elements
choice of elements, boundary and support conditions
modeling of loads and details
modeling of concrete slabs
modelling of bridges
Intended learning outcomes
The course will treat both theoretical and more applied FEM modeling aspects. The course also provides the necessary knowledge above the beam theory in structural mechanics. An important goal of the course is to teach students to use a commercial FEM program by analyzing practical problems.
After completing the course the students shall be able to
- explain the basic theory behind the finite element method.
- derive 2D beam element and 4-node plane element.
- describe plate, shell and solid elements.
- use the finite element method to analyse real structures.
- use a commercial FE program.
- explain in which cases a simple dynamic analysis is needed, and the principles behind such analysis.
Literature and preparations
The students should be approved in courses that correspond to the following courses:
HF1903 Mathematics 1 7.5 credits
HF1004 Mathematics 2 with mathematical statistics 7.5 credits
HS1003 Structural Mechanics 1 7.5 credits
HS1004 Structural Mechanics 2 7.5 credits
HS1008 Structural Design in Civil Engineering 7.5 credits
Examination and completion
If the course is discontinued, students may request to be examined during the following two academic years.
- INLA - Assignment, 7.5 credits, grading scale: P, F
Based on recommendation from KTH’s coordinator for disabilities, the examiner will decide how to adapt an examination for students with documented disability.
The examiner may apply another examination format when re-examining individual students.
Opportunity to complete the requirements via supplementary examination
Opportunity to raise an approved grade via renewed examination
- All members of a group are responsible for the group's work.
- In any assessment, every student shall honestly disclose any help received and sources used.
- In an oral assessment, every student shall be able to present and answer questions about the entire assignment and solution.