# Faculty of Mechanical Engineering

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## Description of individual course units

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Course Unit CodeCourse Unit TitleNumber of ECTS Credits Allocated
339-0301/03Mechanics of Materials5 ECTS credits
Type of Course UnitCompulsory
Level of Course UnitFirst Cycle
Year of StudySecond Year
Semester when the Course Unit is deliveredWinter Semester
Mode of DeliveryFace-to-face
Language of InstructionCzech, English
Prerequisites and Co-Requisites
PrerequisitiesCourse Unit CodeCourse Unit Title
337-0312Statics
714-0367Mathematics II
Name of Lecturer(s)Personal IDName
FUX50prof. Ing. Jan Fuxa, CSc.
ROJ71Ing. Jaroslav Rojíček, Ph.D.
FRY72doc. Ing. Karel Frydrýšek, Ph.D.
FUS76Ing. Martin Fusek, Ph.D.
Learning Outcomes of the Course Unit
To teach the students the basic procedures and methods applied for the solution of technical problems of strength and elasticity (i.e. mechanics of materials). To ensure the understanding of teaching problems. To apply the gained skills in practice.
Recommended Optional Programme Components
no
Course Contents
1. Introduction to mechanics of elastic bodies. Second moment (moment of inertia) of a plane area. Parallel axis theorem.
2. Transformation equations for moments and products of inertia. Principal axis of inertia. Mohr`s circle.
3. Simple stress and strain. Tensile and compression. Hooke`s law. Poisson`s law.
4. Tensile and compression. Statically determinate and indeterminate problems.
5. Stress theory. Mohr`s circle. Principal stress. Yield criteria.
6. Shear stress. Hooke`s law. Torsion of hollow shaft. Statically determinate and indeterminate problems.
7. Simple bending theory. Shearing forces. Bending moment.ss
8. Bending stresses in beam. Slope and deflection of beams.
9. Strain energy. Applications of energy methods. Castigliano`s theorem on deflections.
10. Statically indeterminate beams.
11. Elastic and Inelastic Stability of columns. Euler buckling of columns with general end of constrain. Inelastic buckling of column. Tetmayer`s solution.
12. Combined stress. Nonsymmetrical bending. Neutral axis. Combined beam and torsion.
13. Cranked beams and frames. Thin curved beam. Statically determinate and indeterminate problems.
14. Numerical solution problems of mechanics of materials. Introduction to finite element method.
[5] FRYDRÝŠEK, K., ADÁMKOVÁ, L.: Mechanics of Materials 1 - Extended Edition (Introduction, Simple Stress and Strain, Basic of Bending), Faculty of Mechanical Engineering, VŠB-Technical University of Ostrava, Ostrava, Ostrava, 2008, Czech Republic, pp. 203.
[6] FRYDRÝŠEK, K., LENERT, J.: Mechanics of Materials, VŠB-TU Ostrava, 2005, ISBN 80-248-08006-4, pp. 63.
[1] HÖSCHL, C.: Pružnost a pevnost ve strojnictví, SNTL, Praha, 1971, pp. 376.
[2] KRČÁL, O.: Příklady z pružnosti a pevnosti I, část 1, VŠB-TU Ostrava, 1994, ISBN 80-7078-243-9.
[3] KRČÁL, O., FRYDRÝŠEK, K., ADÁMKOVÁ, L.: Příklady z pružnosti a pevnosti 1 (část 2), VŠB-TU Ostrava, Ostrava, ISBN 978-80-248-1826-9, Ostrava, 2008, pp. 124.
[4] LENERT, J.: Pružnost a pevnost I, 1. vyd., VŠB-TU Ostrava, 1998, ISBN 80-7078-392-3.
[18] FRYDRÝŠEK, K., ADÁMKOVÁ, L.: Mechanics of Materials 1 (Introduction, Simple Stress and Strain, Basic of Bending), Faculty of Mechanical Engineering, VŠB-Technical University of Ostrava, Ostrava, ISBN 978-80-248-1550-3, Ostrava, 2007, Czech Republic, pp. 179.
[7] HÁJEK,E.-REIF,P.-VALENTA,F.: Pružnost a pevnost I, SNTL Praha, 1988.
[8] KUBA, F.: Pružnost a pevnost (základní část), VŠB-TU Ostrava, 5. vydání, 1990, pp. 385.
[9] LENERT, J.: Pružnost a pevnost II, 1. vyd., VŠB-TU Ostrava, 1998, ISBN 80-7078-572-1.
[10] MIROLJUBOV, I., N. a kol.: Řešení úloh z pružnosti a pevnosti, SNTL Praha, 1976.
[11] PEŠINA, E., REIF, P., VALENTA, F.: Sbírka příkladů z pružnosti a pevnosti, SNTL Praha, 1964.
[12] SMÍŘÁK, S.: Pružnost a plasticita I pro distanční studium, Fakulta stavební VÚT v Brně, Akademické nakladatelství CERM, s.r.o., 1999, ISBN 80-214-1151-1, pp. 210.
[13] TIMOŠENKO, Š, P.: Pružnost a pevnost I, Technicko – vědecké vydavatelství, Praha, 1951.
[14] TIMOŠENKO, Š, P.: Pružnost a pevnost II, Technicko – vědecké vydavatelství, Praha, 1951.
[15] TREBUŇA, F., ŠIMČÁK, F., JURICA, V.: Pružnosť a pevnosť I, VIENALA Košice, 2000, Slovensko, ISBN 80-7099-477-0.
[16] TREBUŇA, F., ŠIMČÁK, F.: Odolnosť prvkov mechanických sústav, Edícia odbornej a vedckej literatúry, Technická univerzita v Košiciach, Košice, 2004, Slovensko, ISBN 80-8073-148-9.
[17] TREBUŇA, F., ŠIMČÁK, F., JURICA, V.: Pružnosť a pevnosť II, VIENALA Košice, 2000, Slovensko, ISBN 80-7099-478-9.
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