# SE2132 Applied Elasticity with FEM 9.0 credits

### Offering and execution

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## Course information

### Content and learning outcomes

#### Course contents *

The course gives the foundation for two- and three dimensional theory of elasticity with applications to plates, shells, contact problems and rubber materials. The finite element method (FEM) is used throughout the course for analysis of more complicated problems of practical interest.

#### Intended learning outcomes *

A structural analysis is fundamental to the design of competitive products, i.e. to minimize costs while ensuring proper product functionality. Consequently, a variety of numerical solid mechanical analysis tools as well as analytical methods are applied across different industries to ensure competiveness. This course aims at providing the know-how for a targeted use of such tools and methods. Specifically, the course focuses on an elastic solid mechanical analysis and provides students with theoretical and practical knowledge in order to solve practical engineering problems.

After the course, the participants should be able to

• account for the basic assumptions used for analysis of plates, shells and contact problems.
• explain the implications of these assumptions.
• formulate governing equations and boundary conditions for quasi-static two- and three dimensional problems of elasticity.
• solve simple quasi-static two- and three dimensional problems of elasticity using analytical methods.
• use a commercial finite element program in order to solve more complicated two- and three dimensional problems of elasticity.

#### Course Disposition

No information inserted

### Literature and preparations

#### Specific prerequisites *

SE1025 FEM for engineering applications or the equivalent.
SE1025 can be read in parallel with SE2126 during the first reading period in the autumn.

#### Recommended prerequisites

Basic course in solid mechanics SE1010, SE1020, SE1055 or the equivalent.

#### Equipment

No information inserted

#### Literature

Liu, G.R. and Quek, S.S., The finite element method, Butterworth-Heinemann, 2003.

Larsson, P.-L. och Storåkers B. Exempelsamling i elasticitetsteori, Hållfasthetslära, KTH, 2002.

Formelsamling i Hållfasthetslära, Hållfasthetslära, KTH, 2004.

Kurspärm med utdraget material

### Examination and completion

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

#### Examination *

• LAB1 - Laboratory Work, 1.5 credits, Grading scale: P, F
• PRO1 - Exercise, 3.0 credits, Grading scale: P, F
• TEN1 - Examination, 4.5 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.

#### Other requirements for final grade *

Written exam (TEN1; 4,5 university credits)
Laboratory work (LAB1; 1,5 university credits)
Project (PRO1; 3 university 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 SE2132

#### Offered by

SCI/Solid Mechanics

#### Main field of study *

No information inserted

Second cycle