# AF2024 Finite Element Methods in Analysis and Design 7.5 credits

#### Finita elementmetoder i analys och design

This course deals with the finite element method and its applications to solve practical engineering problems.

The aim of this course is to give basic knowledge about the Finite Element Method including element formulations, numerical solution procedures and modelling details. The course will also give the students the ability to use commercial FE-packages for the solution of practical problems in Infrastructure and Civil engineering.

### Offering and execution

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## Course information

### Content and learning outcomes

#### Course contents *

- Introduction to continuum mechanics

- Basic concepts: discretization, interpolation, elements, nodes and degrees-of-freedom

─ Stiffness method, simple 1D elements (trusses and beams)

─ Properties of stiffness matrices

─ Assembly and solution procedures

─ Stationary principles, basic elements for structural mechanics

─ The isoparametric formulation

─ Plate bending and shell elements

─ Coordinate transformation and constraints

─ Quality of FE-solutions

─ Introduction to advanced finite element modelling

─ Commercial FE-programs for analysis

─ Modelling of pavement and geostructures

#### Intended learning outcomes *

The aim of this course is to give basic knowledge about the Finite Element Method including element formulations, numerical solution procedures and modelling details. The course will also give the students the ability to use commercial FE-packages for the solution of practical problems in Infrastructure and Civil engineering. After this course, the student will be able to:

─ Understand the basic theory behind the finite element method

─ Use the finite element method for the solution of practical engineering problems

─ Use a commercial FE-package

The course is also aimed at providing the necessary theoretical and practical background for more advanced studies within the field of finite elements and structural mechanics.

#### Course Disposition

No information inserted

### Literature and preparations

#### Specific prerequisites *

150 ECTS including courses in Structural Engineering and Basic courses in Differential Equations and Linear Algebra.

Knowledge of MATLAB-programming and documented proficiency in English corresponding to English B.

#### Recommended prerequisites

Basic courses in differential equations, linear algebra and structural mechanics. Knowledge of Matlab-programming.

#### Equipment

No information inserted

#### Literature

Cook, Malkus and Plesha, Concepts and applications of finite element analysis, John Wiley & Sons, 2002

### Examination and completion

A, B, C, D, E, FX, F

#### Examination *

• TEN1 - Examination, 4.0 credits, Grading scale: A, B, C, D, E, FX, F
• ÖVN1 - Exercises, 3.5 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.

ÖVN1 (compulsory exercises 3,5 ECTS credits)

TEN1 (tentamen 4 ECTS credits)

#### Opportunity to complete the requirements via supplementary examination

No information inserted

#### Opportunity to raise an approved grade via renewed examination

No information inserted

### 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 AF2024

#### Offered by

ABE/Structural Design & Bridges

#### Main field of study *

Built Environment

Second cycle