AF1024 Structural Analysis with Finite Element Methods (FEM) 7.5 credits

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.
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Content and learning outcomes
Course contents
Structural mechanics:
· multiaxial strains and stresses, principal stresses
· dynamics: natural frequency, damping and resonance for simple systems
FEM theory:
· discretization, interpolation functions, elements, nodes and degrees of freedom
· internal and external work, virtual work
· assembling, stiffness matrix
· 2D bar element, 2D beam element, plane elements, solid elements, shell elements.
FEM modeling:
· 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 aspects of FEM-modelling. In addition to knowledge in beam theory give the course also a necessary specialisation in structural mechanics. An important goal of the course is to teach students to use a commercial FEM program by analyzing practical problems.
After the course, the students should be able to:
· Explain and apply the basic theory behind the finite element method.
· Describe the common elements.
· use the finite element method to analyse real structures.
· Use a commercial FEM-program.
· explain in which cases a simple dynamic analysis is needed, and the principles behind such analysis.
Course disposition
Literature and preparations
Specific prerequisites
Completed courses: AF1746, AF1747
Recommended prerequisites
Equipment
Literature
Examination and completion
If the course is discontinued, students may request to be examined during the following two academic years.
Grading scale
Examination
- INL1 - Assignments, 3.5 credits, grading scale: P, F
- TEN1 - Written Exam, 4.0 credits, grading scale: A, B, C, D, E, FX, 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.
Grading criteria are announced at the beginning of the course.
Other requirements for final grade
Examination (TEN1; 4.0 credits) grading scale A-F
INL1 - Written assignments 3.5 credits in grading scale P, F
Opportunity to complete the requirements via supplementary examination
Opportunity to raise an approved grade via renewed examination
Examiner
Ethical approach
- 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.
Further information
Course web
Further information about the course can be found on the Course web at the link below. Information on the Course web will later be moved to this site.
Course web AF1024