Mechanics
Code  Completion  Credits  Range  Language 

F7ABBMEC  Z,ZK  4  2P+2L  English 
 Garant předmětu:
 Patrik Kutílek
 Lecturer:
 Patrik Kutílek
 Tutor:
 Patrik Kutílek
 Supervisor:
 Department of Health Care Disciplines and Population Protection
 Synopsis:

Students will get acquainted with the following areas of mechanics: General physical equations, Newton's laws, statics and dynamics. Force and moment effect  decomposition, replacement. Equilibrium of a force system in a plane and space  equation of equilibrium, systems into equilibrium. Reactions on statically determined systems  motion restrictions, spatial and planar constraints, solution of reactions. Static moment, center of gravity and center of area. Spatial moment of inertia  kinetic energy of rotational motion, product moment, momentum, law of conservation of momentum. Second moment of area  product moment, polar moment, Mohr circle, main moments of inertia, ellipse of inertia. Internal static effects  beam, system of plates, course of internal static effects, kinematic method, statically indeterminate problems. Mechanical properties of materials  tests of mechanical properties, stresses and deformations, Hooke's law. Stress and strain  uniaxial and biaxial stress state, simple bending, bending curve, torsional stress, crosssection design, thinwalled crosssections, combined stress, nonlinear models. Buckling strength  critical load, stability of members, calculation of cross section. Tests of hardness, adhesion, toughness, tribological.
 Requirements:

Credit conditions  participation in exercises at least 70%,
Exam: fulfillment of credit conditions, demonstration of knowledge corresponding to the lectured material in the form of a written test containing both theoretical questions (three) and numerical examples (three). The written test will be evaluated by points. The student can get 0.5 or 1 point from each answer. To obtain E, a min. number of 3 points, 5 or more points are needed to get A. In the case of an ambiguous classification level, an oral exam will follow.
The questions for the exam are from the following areas:
Statics and dynamics, volume and crosssectional characteristics, material properties and material tests, theory of strength and elasticity.
Questions related to numerous examples correspond to the examples given in the scripts of Selected Chapters from Experimental Biomechanics (Kutílek, Žižka).
 Syllabus of lectures:

1. Basic physics equations, Newton's laws, statics and dynamics.
2. Force and torque effects and operations with them.
3. The balance, center of area and mass, equations of equilibrium.
4. Reactions, static systems, movement restrictions, reaction solutions.
5. Torque,moment of inertia, rotation.
6. Angular momentum, conservation of angular momentum.
7. Surface moment of inertia, principal moments of inertia, polar moment, Mohr's circle, ellipse of inertia.
8. Static analysis of beam, internal effects, kinematic method, statically indeterminate problems.
9. Mechanical properties of materials, testing of mechanical properties, stress and strain, Hooke's law.
10. Stress of the material, uniaxial and biaxial stress state, bending.
11. Torsion stress, polar moment.
12. Combined stress,
13. Critical load, the stability of rods.
14. Hardness test, adhesion, tribology.
 Syllabus of tutorials:

1. Basic physics equations, Newton's laws, statics and dynamics.
2. Force and torque effects and operations with them.
3. The balance, center of area and mass, equations of equilibrium.
4. Reactions, static systems, movement restrictions, reaction solutions.
5. Torque,moment of inertia, rotation.
6. Angular momentum, conservation of angular momentum.
7. Surface moment of inertia, principal moments of inertia, polar moment, Mohr's circle, ellipse of inertia.
8. Static analysis of beam, internal effects, kinematic method, statically indeterminate problems.
9. Mechanical properties of materials, testing of mechanical properties, stress and strain, Hooke's law.
10. Stress of the material, uniaxial and biaxial stress state, bending.
11. Torsion stress, polar moment.
12. Combined stress,
13. Critical load, the stability of rods.
14. Hardness test, adhesion, tribology.
 Study Objective:

The course is intended for all students who need to complete their knowledge of the mechanics of bobjects, systems and theories of strength. The content is chosen so as to be sufficient to understand and master the issues in related subjects, especially the subject Biomechanics, Robotics, Rehabilitation Engineering.¨
 Study materials:

1. FaHwa Cheng, Statics and Strength of Materials, New York: Glencoe, McGrawHill, 1997.
2. Kutílek, P., Žižka, A. Selected Chapters from Experimental Biomechanics. 1. Vydání.Praha: Česká technika  nakladatelství ČVUT, 2012, 165 s., ISBN 9788001051146.
 Note:
 Timetable for winter semester 2023/2024:
 Timetable is not available yet
 Timetable for summer semester 2023/2024:

06:00–08:0008:00–10:0010:00–12:0012:00–14:0014:00–16:0016:00–18:0018:00–20:0020:00–22:0022:00–24:00
Mon Tue Wed Thu Fri  The course is a part of the following study plans:

 Prospectus  bakalářský (!)
 Biomedical Technology (compulsory course)
The course F7ABBBB can be graded only after the course F7ABBMEC has been successfully completed.