MODELLING AND MECHANICS | KTM041 |

**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

- be able to explain and use the basic concepts force, moment, stress and strain
- understand the relations between force/moment and motion
- be able to describe the phenomena of plasticity, fatigue and fracture

*Skills and abilities*

For a passing grade the student must

- be able to formulate, structure and solve problems in statics and dynamics using the laws of Newton and the principles of conservation
- be able to describe velocities and accelerations in different coordinate systems

*Judgement and approach*

For a passing grade the student must

- be able to dimension construction elements such as bars, beams and shafts loaded by forces, bending moment or torque

**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