Course syllabus MET - Mechanics of Solids (FA - WS 2019/2020)

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Course code: MET
Course title in language of instruction: Mechanika těles
Course title in Czech: Mechanics of Solids
Course title in English: Mechanics of Solids
Mode of completion and number of credits: Exam (6 credits)
(1 ECTS credit = 28 hours of workload)
Mode of delivery/Timetabled classes: full-time, 2/2 (hours of lectures per week / hours of seminars per week)
Language of instruction: Czech
Level of course: bachelor
Semester: WS 2019/2020
Name of lecturer: doc. Ing. Michal Černý, CSc. (examiner, instructor, lecturer, supervisor, tutor)
Prerequisites: Physics I
Aims of the course:
The goal is to get knowledge in the basics of solid mechanics which are necessary for understanding the function of machines and their parts. It is the basics of statics, kinematics and dynamics. Attention is paid to mechanical vibration and its analysis.
Students get advanced knowledge in the field of study, including understanding the theory and practice of solution. They are able to demonstrate mastery of advanced skills problems arising from the needs of industry.
Course contents:
1.Introduction to statistic. Equilibrium of force system. Coordinates systems (allowance 2/2)
a.Transform of coordinates
b.matric representation

2.Force action. Composition and decomposition of forces.Resultant force and resultant moment of forces. (allowance 2/2)
b.Rolling friction
c.Drag forces in air and liquids

3.Trusses and cables (allowance 2/2)
a.Matlab solution of selected problems

4.Kinematics of a particle.Velocity and acceleration.Rectilinear motion. curvilinear motion. (allowance 2/2)
a.Rectilinear motion
b.Circular motion - vector representation
c.curvilinear motion

5.Composed motion. Rigid body plane motion - basic decomposition. (allowance 2/2)
a.Corrioliss acceleration
b.Analytical description of the plane motion
c.Vector equations of plane motion

6.Examples of plane curves (cykloids,epicykloids etc.) (allowance 2/2)
a.Curvature of plane curves
b.Center of curvature

7.Sperical motion. Screw motion. General motion of rigid body. (allowance 2/2)
a.Euler`s angles

8.System of particles 1st and 2nd law of impulse.Collision of bodies. (allowance 2/2)
a.The center of mass
b.Conservation of momentum

9.Rigid body.The center of gravity.Mass moments of inertia (allowance 2/2)
a.Stability of bodies
b.Evaluation of the mass moments of inertia

10.Transform of momentum of mass inertia . (allowance 2/2)
a.Parallel axis theorem
b.Centroidal mass moments of inertia

11.Equation of motion of rigid body (allowance 2/2)
a.Plane motion
b.Spatial motion

12.Mechanical vibrations.Simple harmonic motion. (allowance 2/2)
a.Examples of harmonic motion

13.Mechanical vibration with damping (allowance 2/2)
a.Main damping mechanisms
b.Nonlinear vibration
c.anharmonic motion

14.Forced mechanical vibrations. Resonance.Kinematical excitation. (allowance 2/2)
a.Fourier`s representation of disturbing function.
b.Resonance and its meaning.
c.Damage of humen organism as a consequence of cars vibration.

Learning outcomes and competences:
Generic competences:
-Ability to analyse and synthesize
-Ability to apply knowledge
-Ability to make decisions
-Ability to solve problems
-Ability to speak and write in mother tongue
-Ability to work independently
-Basic computing skills
-Capacity to learn
-General knowledge
-Professional knowledge
-Skilled at utilizing and processing information

Specific competences:
-Ability to solve problems in the motion of bodies
-Ability to solve problems of statics
-Capabilty to apply the knowledge of mechanics of solids in technical practice
-Competence to tackle the task of the dynamics of particles and rigid bodies
-To analyze the deformation and stress in the body

Type of course unit: required
Year of study: Not applicable - the subject could be chosen at anytime during the course of the programme.
Work placement: There is no compulsory work placement in the course unit.
Recommended study modules: -
Learning activities and study load (hours of study load):
Type of teaching methodDaily attendance
Direct teaching
     lecture28 h
     practice28 h
     consultation12 h
     preparation for exam40 h
     preparation for regular assessment20 h
     preparation for regular testing12 h
     elaboration of reports28 h
Total168 h
Assessment methods:
credit in the form of 20 questions test / credit must be obtained for 13 points and develop a three credit hour in the numerical examples of protocols written exam - three examples (statics, kinematics, dynamics) + oral exam (30% of the tests)
Recommended reading:
TypeAuthorTitlePublished inPublisherYearISBN
RQBUCHAR, J. -- BARTOŇ, S. -- KŘIVÁNEK, I.Mechanika tělesBrnoMendelova zemědělská a lesnická univerzita v Brně199680-7157-213-6
RQVÁVRA, P. -- KŘÍŽ, R.Strojírenská příručkaPrahaScientia199580-85827-58-1
RQKŘÍŽ, R. -- VÁVRA, P.Strojírenská příručka - 3. sv. : Mechanika tuhých těles, Pružnost a pevnost, Materiál a jeho zkoušeníPrahaScientia199380-85827-23-9


Last modification made by Ing. Michal Karhánek on 11/20/2019.

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