Mechanics

Lecturer:

Tutor:

Supervisor:

Department of Natural Sciences

Synopsis:

Cross-section characteristics, body stress state ( Cauchy, geometry, compatibility and physical equations), linear elasticity theory, reaction, beam bending, normal and tangential stresses, deformation, torsion influence.

Requirements:

Credit condition - 70% presence, laboratory works and submit reports from laboratory works. Take the final exam and receive an mark A-F. The minimum to pass the exam is fifty percent of the six questions.

The questions in the test are from the following areas:

Cross-section characteristics, body stress state ( Cauchy, geometry, compatibility and physical equations), linear elasticity theory, reaction, beam bending, normal and tangential stresses, deformation, torsion influence.

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:

Cross-section characteristics, body stress state ( Cauchy, geometry, compatibility and physical equations), linear elasticity theory, reaction, beam bending, normal and tangential stresses, deformation, torsion influence.

Study materials:

1. Ranakrishna S., Huang Z., Kumar V., Batchelor W., Mayer J.: An Introduction to Biocomposites.

2. Freitas R.,A.: Nanomedicine - Biocompatibility.

3. Brown B., Smallwood R., Barber D.: Medical physics and biomedical engineering.

4. Petrtýl M., Lipanský E., Stavební mechanika 11 a 21, Praha : ČVUT, 2003.

5. Kufner V., Kuklík P., Stavební mechanika 10, Praha : ČVUT, 2000.

6. Michalec J.: Pružnost a pevnost I, ČVUT. 2001

7. Stejskal V. a kol.: Mechanika I, II, III, ČVUT, 1997

8. Halliday D. a kol. : Fyzika-mechanika, VUT v Brně, 2000

9. Miláček S., Měření a vyhodnocování mechanických veličin, Praha: ČVUT, 2001.

10. Bittnarová J. a kol : Pružnost a pevnost - příklady, Praha: ČVUT, 2008.

11. Bajer J. : Mechanika 1. a 2., Olomouc: Centa s.r.o., 2007.

12. Vondrová R.: Statika I, Praha: ČVUT, 2007

13. Kvasnica J. a kol.: Mechanika, Praha: ACADEMIA, 2004

Note:

Further information:

No time-table has been prepared for this course

The course is a part of the following study plans:

• Bakalářský studijní obor Biomedicínský technik - prezenční v angličtině (compulsory course)