Course syllabus MET - Mechanics of Solids (FA - WS 2018/2019)


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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: full-time, 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)
 
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.

 
Teaching methods and workload (hours of workload):
Type of teaching methodDaily attendance
Direct teaching
     lecture28 h
     practice28 h
     consultation12 h
Self-study
     preparation for exam40 h
     preparation for regular assessment20 h
     preparation for regular testing12 h
     elaboration of reports28 h
Total168 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 80-7157-213-6.
VÁVRA, P. -- KŘÍŽ, R. Strojírenská příručka. Praha: Scientia, 1995. 528 p. ISBN 80-85827-58-1.
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 80-85827-23-9.

Study plans:
B-AS-AM Agricultural Machinery, full-time 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


Last modification made by Ing. Michal Karhánek on 02/12/2019.

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