Course syllabus

# Mekanik - Statik och partikeldynamik

Engineering Mechanics - Statics and Particle Dynamics

## FMEA05, 6 credits, G1 (First Cycle)

## General Information

## Aim

## Learning outcomes

## Contents

## Examination details

## Admission

## Reading list

## Contact and other information

Engineering Mechanics - Statics and Particle Dynamics

Valid for: 2015/16

Decided by: Education Board E

Date of Decision: 2015-04-13

Main field: Technology.

Compulsory for: F1

Language of instruction: The course will be given in Swedish

The aim of the course is that the student shall aquire:

- knowledge about the basic concepts in mechanics for material systems in equilibrium and particles in motion
- knowledge and skills in engineering modeling strategies
- ability to solve problems within a wide range of applications by using knowledge in mechanics and mathematics
- knowledge of and experience in academic writing
- awareness of ethical considerations within the field of engineering

Knowledge and understanding

For a passing grade the student must

- be able to understand and apply fundamental conceptions and equations within mechanics, and express them as scalars and vectors
- be able to draw a free body diagram of a material body and set up equilibrium equations
- be able to describe velocities and accelerations in a suitable coordinate system
- be able to use knowledge in mechanics for problem solving within a wide range of different applications in statics and particle dynamics

Competences and skills

For a passing grade the student must

- be able to delimit a problem and identify interfaces starting with a real situation
- apply systematical methods to analyse mechanical systems in equilibrium and particles in motion
- present written solutions to mechanical problems including assumptions, equations and suitable drawings and free body diagrams
- be able to delimit a problem from a given project specification and create a simulation model for solving the problem using computer software
- develop ability to solve problems by applying mathematical methods within, for example, linear algebra and the theori of ordinary differential equations
- be able to formulate, describe and analyse a technical problem through text, equations and illustrations in a written academic report. The report should include such elements as background, aim, purpose, execution, results and conclusions

Judgement and approach

For a passing grade the student must

- evaluate the physical consistency of the obtained results
- in the analysis of a mechanics problem, be able to describe the assumptions made when formulating the physical model and be able to give examples of conditions during which the validity of the model is limited
- participate at a discussion of ethic values and problems relevant for a civil engineeer

**Statics:** Moment and force systems in two
and three dimensions. Equivalent force systems. Free-body diagrams
and equilibrium. Virtual work. Applications of equilibrium
equations on material bodies and parts of bodies. Point forces,
distributed forces, external and internal forces. Center of mass
and center of gravity. Friction. Applications such as for example
frames, machines, beams and hydrostatics.

**Dynamics:** Newton’s laws. Inertia systems.
Kinematics and kinetics of particles in straight and curved
motion. Cartesian, natural and polar coordinates. Energy and work.
Momentum and angular momentum. Impulse angular impulse. Impact.
Moment of inertia. Rotating coordinate systems.

Grading scale: TH

Assessment: Written exam preceded by voluntary dugga. The dugga-result may be used to complement the result of the current regular written exam. Grading of the written exam: TH.
Project: Mandatory introductory laboration including preparation tasks. Followed by an advanced task, executed in student groups consisting of two students. The work with the advanced task is independent, with the possibility of teacher support during scheduled computer exercises. The advanced task is presented in a written report and it is mandatory to participate in a discussion about the report.
To pass the course, the student is required to pass both the written exam and the project part of the course. Examination of the project only takes place during the current relevant scheduled semester (läsperiod).

Required prior knowledge: FMA420 Linear algebra, FMAA01/FMAA05 Calculus in One Variable.

The number of participants is limited to: No

The course overlaps following course/s: FMEA30

- Christer Nyberg: Mekanik, Statik. Liber, 2014, ISBN: 978-91-47-11442-9. Nyberg C. : Mekanik, Statik, Liber, 2014.
- Christer Nyberg: Mekanik, Partikeldynamik. Liber, 2014, ISBN: 978-91-47-11443-6. Nyberg C. : Mekanik, Partikeldynamik, Liber, 2014.
- A short introduction to ADAMS, Avdelningen för Mekanik, LTH.
- Project in Mechanics, Avdelningen för Mekanik, LTH.

Course coordinator: Kristina Nilsson, kristina.nilsson@mek.lth.se

Course homepage: http://www.mek.lth.se