Course syllabus
Mekanik - Statik och partikeldynamik
Engineering Mechanics - Statics and Particle Dynamics
FMEA05, 6 credits, G1 (First Cycle)
Valid for: 2014/15
Decided by: Education Board E
Date of Decision: 2014-04-02
General Information
Main field: Technology.
Compulsory for: F1
Language of instruction: The course will be given in Swedish
Aim
The aim of the course is to:
- give knowledge about the basic concepts in mechanics for
material systems at rest and motion, mainly for particles and rigid
bodies
- give knowledge and skills in engineering modeling
- enhance student ability to solve problems by applying
mathematics
Learning outcomes
Knowledge and understanding
For a passing grade the student must
- be able to explain and apply fundamental conceptions as force
and moment, linear and angular momentum, linear and angular impulse
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 give a detailed description of different
applications
- be able to describe velocities and accelerations in Cartesian,
polar and natural coordinate systems and use the balance equations
for a particle expressed in vector format
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 systematically methods to mechanical systems
in equilibrium and particles in motion
- be able to present written solutions to mechanical problems
with 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
- 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 report. The
report should include 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.
Contents
Statics: Moment and force systems in 2 and 3
dimensions. Free-body diagrams and equilibrium of material bodies.
Applications of equilibrium equations on material bodies and
parts of bodies. Equilibrium in frames. Distributed forces,
centre of mass. Friction. Virtual work, 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. Vibrations of damped and
undamped mechanical systems. Free and forced vibrations. Eigen
frequencies and vibration analysis.
Examination details
Grading scale: TH
Assessment: Written exam. Written project report. The project is executed in student groups consisting of two students. The work is independent, with the possibility of teacher support during scheduled computer exercises.
Admission
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
Reading list
- Nyberg C. : Mekanik, Grundkurs, Liber, 2003.
- Nyberg C. : Mekanik, Problemsamling, Liber, 2003.
- A short introduction to ADAMS, Avdelningen för Mekanik, LTH.
- Project in Mechanics, Avdelningen för Mekanik, LTH.
Contact and other information
Course coordinator: Kristina Nilsson, kristina.nilsson@mek.lth.se
Course homepage: http://www.mek.lth.se