ENGINEERING MECHANICS, BASIC COURSE | FMEA10 |

**Aim**

The aim of the course is to:

- give knowledge about the basic concepts in mechanics for material systems at rest and at motion, mainly for particles and rigid bodies
- give skills in engineering modeling
- develop ability to solve problems by applying mathematics
- develop engineering modeling skills using a simulation program as a help
- enrich and extend the concept of solving problems using industrial software as a numerical tool

*Knowledge and understanding*

For a passing grade the student must

- be able to explain and apply fundamental conception as force and moment, and express them both as scalars and vectors
- be able to draw a free body diagram of a material body and set up the equations of equilibrium and motion
- be able to formulation physical relation for energy, linear and angular moment, linear and angular impulse
- be ably to interpret and employ velocities, accelerations and balance equations expressed in vector format
- be able to outline the most important result in the project work

*Skills and abilities*

For a passing grade the student must

- starting with a real situation be able to delimit a problem and perform an equilibrium analysis
- apply systematically methods to mechanical systems at motion
- be able to present written solutions to mechanical problems with suitable drawing and free body diagrams
- be able to delimit a problem from a given project specification and create a simulation model for solving the problem
- be able to perform a systematic numerical analysis of a mechanical system in motion
- be able to present a written rapport with detailed description of the problem, made assumption, calculation and results

*Judgement and approach*

For a passing grade the student must

- evaluate the physical consistence of the obtained results

**Contents****Statics:** Forces, moments, couples and general force systems. Equivalent force systems. Equilibrium and free-body diagrams. Applications on equilibrium of material bodies. Distributed forces. Frames and machines. Centers of mass. Friction.

**Dynamics:** Kinematics and kinetics of particles (general) and rigid bodies (plane). Energy, work, linear and angular impulse and momentun. Impact.

Newtins laws. Kinetic for particles in 2D and 3D and kinetic for rigid bodies in plane motion. Vibrations of dumped and undumped mechanical systems. Free and forced vibrations. Eigen frequencies and vibration analysis.

**Literature**

Nyberg C. : Mekanik, Grundkurs, Liber, 2003.

Nyberg C. : Mekanik, Problemsamling, Liber, 2003.

Nyberg, C. Mekanik Fortsättningskurs, Institutionen för Mekanik, KTH.

Additional material for the computer exercises: Computer Exercises in Mechanics for Industrial Engineers; A. Ahadi, J. Cedergren, O. Kristensson, P. Lidström, K. Nilsson and N.J. Sörensen. Division of Mechanics, Lund University, latest edition.

**Code: **0108.
**Name: **Engineering Mechanics, Basic Course.

**Higher education credits: ** 8.
**Grading scale: **TH.
**Assessment:** Written exam and hand in exersices.
**Contents:** Statics: Forces, moments, couples and general force systems. Equivalent force systems. Equilibrium and free-body diagrams. Applications on equilibrium of material bodies. Distributed forces. Frames and machines. Centers of mass. Friction. Dynamics: Kinematics and kinetics of particles (general) and rigid bodies (plane). Energy, work, linear and angular impulse and momentun. Impact. Newtins laws. Kinetic for particles in 2D and 3D and kinetic for rigid bodies in plane motion. Vibrations of dumped and undumped mechanical systems. Free and forced vibrations. Eigen frequencies and vibration analysis.

**Code: **0208.
**Name: **Mechanics, Project.

**Higher education credits: ** 1.
**Grading scale: **UG.
**Assessment:** Written project report.
**Contents:** Kinematics and kinetics of particles (general) and rigid bodies (plane). Vibrations of dumped and undumped mechanical systems. Free and forced vibrations.