Syllabus 2007/2008 FHL034

Syllabus academic year 2007/2008

DIMENSIONING PROBLEMS, ADVANCED COURSE

FHL034

Higher education credits: 7,5. Grading scale: TH. Level: A (Second level). Language of instruction: The course might be given in English. Optional for: F4, I4, M3, M3mo, Pi4. Course coordinator: Ulf Nyman, ulf.nyman@solid.lth.se, Hållfasthetslära. Prerequisites: FHL013 Solid Mechanics, Basic Course or FHL021 Solid Mechanics, Basic Course or FHL105 Solid Mechanics, Basic Course or VSM141 Structural Mechanics. Recommended prerequisits: FMA062 Applied Mathematics or FMA036 Linear Analysis or FMA037 Complex Analysis.. Assessment: Judgement of performance will be made based on the completed assignments and the written exam. The assignments are mandatory and will be judged as pass or fail. The assignments will not form a basis for the final grade but must be completed before the written exam. The final grade will be based on the results from the written exam. Home page: http://www.solid.lth.se.

Aim
The aim of the course is to extend and deepen the basic knowledge as provided by the fundamental courses in solid mechanics. With basic knowledge is meant the description of physical properties and relations that is used for the representation of how materials are influenced by external or internal loads. The deepening will imply an increased ability to understand and individually formulate relations for practical designs that arise in the engineering work.

Knowledge and understanding
For a passing grade the student must

be able to formulate general problems within elasticity theory.
be able to estimate what problems are suitable for analytical methods.
have a comprehension of coupled physical phenomena, such as thermo-elasticity.

Skills and abilities
For a passing grade the student must

be able to transform the general laws within solid mechanics to real problems.
be able to set up a mathematical formulation that is suitable for estimations or parameter studies.
be able to use a computer tool (e.g. Maple) that is suitable for analytical methods.
be able to judge what loads are reasonable in practical situations.

Judgement and approach
For a passing grade the student must

have aquired an extended understanding of modelling within solid mechanics.
from a modelling perspective understand the limitations and possibilities that a model of a design will imply.

Contents
The course mainly treats the general aspects within linear elasticity. For specific problems use is made of advanced analytical methods. Some of these methods have previously been used in the basic courses while some are new. The methods will be used for the examination of for example stress distributions in axi-symmetric structures such as discs, plates, tubes and cylindrical shells. Furthermore, curved beams and pipelines will be treated. Different areas will be elaborated during the course. As examples can be mentioned the dimensioning of engineering designs, calculation of stresses due to thermal loads and contact problems.

Literature
Bodelind, B. Problems in dimensioning. 1996.
Formelsamling i hållfasthetslära, Stockholm (KTH), 1999.