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Lecturer(s)
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Šuba Oldřich, doc. Ing. CSc.
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Monková Katarína, prof. Ing. Ph.D.
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Course content
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1. Curved beams, forces and moments, elementary beam theory. 2. Energy of deformation, Betti and Maxwell theorems. 3. Castigliano theorems, calculation of deformations, statical indeterminacy, symmetry, antisymmetry. 4. Inner statical indeterminacy of closed frames and beams. 5. Thermal stresses of statically indeterminaced cases of beams. 6. Plane stress and deformation, transformation of components. 7. Equations of elasticity for 2D stress states, shear modulus. 8. Membrane stress and deformation of cylindrical and sferical shell loaded by internal pressure. 9. Bending of wide beam - plate into cylindrical surface, Kirchhoff bending of plates. 10. Rotationally symmetrical cases of circular plates. 11. Thermal stresses of plates subjected to temperature gradient. 12. 3D stress states, equations of elasticity, voluminal compressibility. 13. Strain energy density, distortion, volume part of strain energy. 14. Rotational symmetric cases of thick cylindrical parts.
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Learning activities and teaching methods
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Lecturing, Demonstration, Individual work of students
- Preparation for examination
- 210 hours per semester
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| prerequisite |
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| Knowledge |
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| Knowledge of mathematics, applied mechanics. |
| Knowledge of mathematics, applied mechanics. |
| learning outcomes |
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| Knowledge of the mechanics of curved members and frames. Internal static effects, stress and strain calculations. |
| Knowledge of the mechanics of curved members and frames. Internal static effects, stress and strain calculations. |
| Knowledge of solutions for static indeterminacy in storage, internal static indeterminacy of members and frames, and thermal stress. |
| Knowledge of solutions for static indeterminacy in storage, internal static indeterminacy of members and frames, and thermal stress. |
| Knowledge of membrane and bending stress of plates and shells. Thermal tension in walls with a temperature gradient. Cylindrical vessels with internal overpressure. |
| Knowledge of membrane and bending stress of plates and shells. Thermal tension in walls with a temperature gradient. Cylindrical vessels with internal overpressure. |
| Knowledge of the mechanics of rotationally symmetric cases of circular plates. |
| Knowledge of the mechanics of rotationally symmetric cases of circular plates. |
| Knowledge of 3D tension and deformation, elasticity equation. Proportional change in volume. Hooke's law in volume form. Rotationally symmetric cases of thick-walled cylindrical elements. |
| Knowledge of 3D tension and deformation, elasticity equation. Proportional change in volume. Hooke's law in volume form. Rotationally symmetric cases of thick-walled cylindrical elements. |
| Skills |
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| Assess cases of bars and frames in terms of their stiffness and strength. |
| Assess cases of bars and frames in terms of their stiffness and strength. |
| Compile and optimize computational models of statically indeterminate cases of members and frames. |
| Compile and optimize computational models of statically indeterminate cases of members and frames. |
| Assess and optimize the bearing capacity and stiffness of the walls of plate and shell elements. |
| Assess and optimize the bearing capacity and stiffness of the walls of plate and shell elements. |
| Determine the thermal tension of the walls of products loaded with a temperature gradient. |
| Determine the thermal tension of the walls of products loaded with a temperature gradient. |
| Assess designs of thick-walled cylindrical elements. |
| Assess designs of thick-walled cylindrical elements. |
| teaching methods |
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| Knowledge |
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| Lecturing |
| Lecturing |
| Demonstration |
| Demonstration |
| Skills |
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| Practice exercises |
| Practice exercises |
| Individual work of students |
| Individual work of students |
| assessment methods |
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| Knowledge |
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| Didactic test |
| Didactic test |
| Composite examination (Written part + oral part) |
| Composite examination (Written part + oral part) |
| Analysis of works made by the student (Technical products) |
| Analysis of works made by the student (Technical products) |
| Grade (Using a grade system) |
| Grade (Using a grade system) |
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Recommended literature
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Boley, B.A., Weiner, J.H. Theory of Thermal Stresses. 3rd Ed. New York: J. Wiley & Sons, 1996.
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Hoschl, C. Pružnost a pevnost ve strojírenství. Praha: SNTL/ALFA, 1971.
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Saada, Adel S. Elasticity : Theory and Applications. New York : Pergamon Press Inc., 1974.
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Šuba, Oldřich. Mechanické chování těles. Vyd. 4. Zlín : Univerzita Tomáše Bati ve Zlíně, Fakulta technologická, 2009. ISBN 978-80-7318-792-7.
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Šuba, Oldřich. Mechanické chování těles. 5. vyd. Zlín : Univerzita Tomáše Bati ve Zlíně, 2010. ISBN 978-80-7318-907-5.
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Timoshenko, S., Woinovski-Krieger, S. Theory of Plates and Shells. 2nd Ed. New York: McGraw - Hill, 1959.
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WILLIAMS, J.G. Stress Analysis of Polymers. London: Longman Group, 1973.
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