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Lecturer(s)
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Course content
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1. The problems of tension: the simple statically determined cases - investigation of stress and deformation of bars with influence of forces and temperature, dimensional. 2. The problems of tension: more complicated statically determined cases - the conic bar, investigation of stress and displacement of bars with the variable sections, superimposing principle. 3. The problems of tension: statically undetermined cases, the Castiglian theorem and its applications to bars. 4. The problems of second moments of areas: investigation of the centre-of-gravity position, the parallel-axis theorem for moments of inertia, the sector of a circle. 5. The problems of second moments of areas: the Mohr-Culmann circle, the principal inertia axis. 6. Beam bending: investigation of internal forces, the maximum of flexural moment, dimensional. 7. Beam deflections: application of the differential equation of the elastic curve and the Castiglian theorem. 8. Beam deflections: Mohr's method, statically undetermined cases. 9. Torsional loading of shafts: the torsional shearing stress and displacement, shafts with the constant and the variable sections, statically undetermined cases. 10. Plane and triaxial state of stress: investigation of the principal stresses, Mohr's circle and its application. 11. Combined loading: theories of failure for static loading and their application. 12. Summery test. 13. Credits for education.
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Learning activities and teaching methods
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Seminar
- Preparation for comprehensive test (10-40)
- 30 hours per semester
- Contact hours
- 24 hours per semester
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| prerequisite |
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| Knowledge |
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| Student knows and actively utilizes - principles of the algebra, - principles of the analysis. |
| learning outcomes |
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| Student - remembers terms from the mechanics of material, - selects suitable analytical method for the solution of the bar problem, - performs the calculation of the second moments of areas, - analyzes the state of stress in bodies. |
| teaching methods |
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| Seminar |
| assessment methods |
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| Written exam |
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Recommended literature
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Hájek, Emanuel. Pružnost a pevnost I. Praha : ČVUT, 1984.
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Hájek, Emanuel; Reif, Pavel; Valenta, František. Pružnost a pevnost I. Praha : SNTL, 1988.
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Hearn, E. J. Mechanics of materials : an introduction to the mechanics of elastic and plastic deformation of solids and structural materials. 2. 3rd ed. Oxford : Butterworth-Heinemann, 1997. ISBN 0-7506-3266-6.
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Janíček, P., Florián, Z. Mechanika těles - Úlohy z pružnosti a pevnosti I. Ediční středisko VUT Brno, 1990.
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Laš, Vladislav; Hlaváč, Zdeněk,; Vacek, Vlastimil. Technická mechanika v příkladech. 4. vyd. Plzeň : Západočeská univerzita, 2005. ISBN 80-7043-409-0.
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Michalec, Jiří. Pružnost a pevnost 1. 1. vyd. Praha : ČVUT FS, 1995. ISBN 80-01-01333-2.
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