Course title:  Mechanics of Solids 
Semester:  WS 2018/2019 
Course supervisor:  doc. Ing. Michal Černý, CSc. 
Supervising department:  Department of Technology and Automobile Transport (FA) 
Time allowance:  fulltime, 2/2 (hours of lectures per week / hours of seminars per week) 
Prerequisites for registration:  Physics I 
Type of study:  usual 
Form of teaching:  lecture, seminar 
Mode of completion and credits:  Exam (6 credits) 

Course objective: 
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 content: 
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. 



Teaching methods and workload (hours of workload): 
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 


Key words: 
none 

Course completion: 
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) 

Course methods:  Lectures, seminars and independent study of literature
lever on the project. Hours: 28 hours of lectures, 28 hours of seminars. 

Reading list: 
Basic:  BUCHAR, J.  BARTOŇ, S.  KŘIVÁNEK, I. Mechanika těles. 1st ed. Brno: Mendelova zemědělská a lesnická univerzita v Brně, 1996. 161 p. ISBN 8071572136.  VÁVRA, P.  KŘÍŽ, R. Strojírenská příručka. Praha: Scientia, 1995. 528 p. ISBN 8085827581.  KŘÍŽ, R.  VÁVRA, P. Strojírenská příručka  3. sv. : Mechanika tuhých těles, Pružnost a pevnost, Materiál a jeho zkoušení. 1st ed. Praha: Scientia, 1993. 254 p. ISBN 8085827239. 


Study plans: 
BASAM Agricultural Machinery, fulltime form, initial academic year WS 2017/2018 

Run in the period of:  WS 2019/2020, WS 2017/2018, WS 2016/2017, WS 2015/2016, WS 2014/2015, WS 2013/2014 (and older) 
Course tutor:  doc. Ing. Michal Černý, CSc. (examiner, instructor, lecturer, supervisor, tutor) Ing. Jaroslav Začal, Ph.D. (instructor) 
Teaching language:  Czech 
Town:  Brno 