Syllabus academic year 2007/2008
MODELLING AND MECHANICSKTM041

Higher education credits: 7,5. Grading scale: TH. Level: G1 (First level). Language of instruction: The course will be given in Swedish. KTM041 overlap following cours/es: FHL013, FHL100, KTM040, FHL013, FHL021, FHL100, FHL105 och KTM040. Compulsory for: W2. Course coordinator: Assistant Professor Ingrid Svensson, Ingrid.Svensson@solid.lth.se, Hållfasthetslära. Recommended prerequisits: FMA410, FMA420 Mathematics or similar knowledge in vector algebra and linear differential equations. Assessment: There are two possibilities to pass the course: either by doing three written part examinations during the course or by doing a final written exam. Home page: http://www.solid.lth.se.

Aim
The aim of the course is to provide basic knowledge in mechanics and solid mechanics with applications on realistic problem. The course also aims increasing the common knowledge in engineering and the ability to build and analyse models.

Knowledge and understanding
For a passing grade the student must

Skills and abilities
For a passing grade the student must

Judgement and approach
For a passing grade the student must

Contents
The course comprises basic parts from rigid body mechanics as well as deformable body mechanics and strength of materials.

In rigid body mechanics both static and dynamic problems are treated. In statics the equations of equilibrium are formulated from free body diagrams and problems with concentrated as well as distributed forces are handled. The distributed forces come from applications in hydrostatics and computation of centroids.

The dynamics part of the course is based on the laws of Newton. Particle motion is described in linear and curvilinear coordinates and the equations of motion of the particle are established. Equivalent formulations based on the principles of preservation of energy and momentum are also treated. Examples of applications are taken both from daily life experience such as climbing ladders, moving furniture, riding a bike or a rollercoaster and technical applications from robotics and ballistic.

In deformable body mechanics the tensorial concepts of stress and strain are first defined. The relations between stress and strain, i.e. constitutive laws, for different materials are established and applications from the dimensioning of different simple construction elements (lines, rods, beams, trusses etc) are treated. Important phenomena such as fatigue and fracture are also discussed.

Literature
Svensson, I., Wihlborg G., Mekanik i verkligheten, 2006