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:  fulltime, 2/2 (hours of lectures per week / hours of seminars per week) 
Language of instruction:  Czech 
Level of course:  bachelor 
Semester:  WS 2018/2019 
Name of lecturer:  doc. Ing. Michal Černý, CSc. (examiner, instructor, lecturer, supervisor, tutor) Ing. Jaroslav Začal, Ph.D. (instructor) 
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)   a.  Friction  b.  Rolling friction  c.  Drag forces in air and liquids 
 3.  Trusses and cables (allowance 2/2)   a.  Matlab solution of selected problems  b.  catenary 
 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)    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 method  Daily attendance  Direct teaching  lecture  28 h  practice  28 h  consultation  12 h  Selfstudy  preparation for exam  40 h  preparation for regular assessment  20 h  preparation for regular testing  12 h  elaboration of reports  28 h  Total  168 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: 
Type  Author  Title  Published in  Publisher  Year  ISBN 

RQ  BUCHAR, J.  BARTOŇ, S.  KŘIVÁNEK, I.  Mechanika těles  Brno  Mendelova zemědělská a lesnická univerzita v Brně  1996  8071572136  RQ  VÁVRA, P.  KŘÍŽ, R.  Strojírenská příručka  Praha  Scientia  1995  8085827581  RQ  KŘÍŽ, R.  VÁVRA, P.  Strojírenská příručka  3. sv. : Mechanika tuhých těles, Pružnost a pevnost, Materiál a jeho zkoušení  Praha  Scientia  1993  8085827239 
