Course syllabus

# Mekanik

Engineering Mechanics

## FMEA30, 15 credits, G1 (First Cycle)

## General Information

## Aim

## Learning outcomes

## Contents

## Examination details

## Admission

## Reading list

## Contact and other information

Engineering Mechanics

Valid for: 2012/13

Decided by: Education Board 3

Date of Decision: 2012-04-25

Main field: Technology.

Compulsory for: M2, MD2

Language of instruction: The course will be given in Swedish

The aim of the course is to

- give knowledge about the basic concepts in mechanics for material systems at rest and in motion, mainly for particles, systems of particles and rigid bodies
- give knowledge and skills in engineering modelilng
- develop ability to solve problems by using the computer softwares MATLAB and ADAMS

Knowledge and understanding

For a passing grade the student must

- be able to define and apply fundamental concepts such as force and moment of force, linear and angula momentum, impulse and moment of impulse, and be able to express them both in scalar and vectorform
- be able to draw a free body diagram of a material body and to set up the equations of equilibrium and motion
- be ably to describe velocities and accelerations in Cartesian, polar and natural coordinates systems and use the the force and moment equationsfor a particle
- be able to use the velocity and acceleration fields in rigid body motionl
- be able to define and use the basic concepts linear momentum, angular momentum, impulse and moment of impulse, moment of inertia, power, energy and work for a rigid body
- be able to use the force and moment equations to describe plane rigid body motion
- be able to analyze practical problems in mechanics
- be able to use MATLAB in the solution of problems in
mechanics

Competences and skills

For a passing grade the student must

- starting with a real situation be able to delimit a problem and perform an equilibrium analysis
- be able to apply systematic methods in an analysis of mechanical systems in equilibrium and particles in motion
- starting with a real situation be able to delimit a problem and treat material bodies as particles or rigid bodies
- be able to apply systematical methods to mechanical systems in motion
- be able to present written solutions to mechanical problems with suitable drawing and free body diagrams
- given a project specification be able to delimit a problem and
create a model which may be analyzed using in a simulation
sofware.

Judgement and approach

For a passing grade the student must

- evaluate the physical consistency of the obtained results

**Statics:** Moment and force systems in 2 and 3
dimensions. Free-body diagrams and equilibrium of material bodies.
Equilibrium in frames. Distributed forces, centre of mass, flexible
cables. Friction. Potential energy and stability.

**Dynamics:** Newton’s laws. Kinematics and
kinetics of particles in straight and curved motion, natural and
polar co-ordinates. Energy and work. Momentum and impulse, moments
of momentum and impulse moments. Impact. Kinematics of system of
particles (general) and rigid bodies (plane). Energy, work, linear
and angular impulse and momentun. Impact. Newtons laws. Kinetic for
particles in 2D and 3D and kinetic for rigid bodies in plane
motion. Rotating coordinate systems. Vibrations of damped and
undamped mechanical systems. Free and forced vibrations. Natural
frequencies and vibration analysis.

**MATLAB:** Numerical calculations, writing scripts,
defining functions, graphics, symbolic calculations differentiation
and integration, solving equations, differential equations, linear
algebra

Grading scale: TH

Assessment: Written examinations (part and final). Approved project report. Approved assignments.

Parts

Code: 0112. Name: Statics and Particle Dynamics.

Credits: 7. Grading scale: TH. Assessment: Written exam. (part)

Code: 0212. Name: Dynamics.

Credits: 5. Grading scale: TH. Assessment: Written exam.

Code: 0312. Name: Project.

Credits: 0. Grading scale: UG. Assessment: Approved project report.

Code: 0412. Name: Introduction to MATLAB.

Credits: 3. Grading scale: TH. Assessment: Written examination

Required prior knowledge: FMA420 Linear algebra, FMAA01/05 Calculus in One Variable.

The number of participants is limited to: No

The course overlaps following course/s: FMEA01, FMEA25

- J.L. Meriam, L.G. Kraige: Engineering Mechanics - Statics. Wiley, 2009, ISBN: 978-0-470-49977-1.
- J.L.Meriam, L.G. Kraige: Engineering mechanics - Dynamics. Wiley, 2009, ISBN: 978-0-470-49978-8.
- B. Harper: Solving Statics Problems in MATLAB. Wiley, 2006, ISBN: 978-0-470-09925-4.
- B. Harper: Solving Dynamics Problems in MATLAB. Wiley, 2007, ISBN: 978-0-470-09922-3.

Course coordinator: Univ. lekt. Per Lidström, per.lidstrom@mek.lth.se

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