Code: F7ABBMEC Mechanics
Lecturer: doc. Ing. Patrik Kutílek MSc., Ph.D. Weekly load: 2P+2L Completion: A, EX
Department: 17111 Credits: 4 Semester: S
Description:
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, cross-section design, thin-walled cross-sections, combined stress, nonlinear models. Buckling strength - critical load, stability of members, calculation of cross section. Tests of hardness, adhesion, toughness, tribological.
Contents:
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.
Seminar contents:
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.
Recommended literature:
1. Fa-Hwa Cheng, Statics and Strength of Materials, New York: Glencoe, McGraw-Hill, 1997.
2. Kutílek, P., Žižka, A. Selected Chapters from Experimental Biomechanics. 1. Vydání.Praha: Česká technika - nakladatelství ČVUT, 2012, 165 s., ISBN 978-80-01-05114-6.
Keywords:
Newton's laws, statics and dynamics, force and torque, center of area and mass, reactions, static systems, torque,moment of inertia,principal moments of inertia, Mohr's circle, static analysis of beam, mechanical properties of materials, Hooke's law, stress, combined stress, adhesion, tribology.

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