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Lecturer(s)
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Gabriel Jan, Ing. Ph.D.
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Rublič Miroslav, Ing. Ph.D.
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Course content
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1st week: Strain energy of elastic bodies, Castigliano´s first and second theorems for deflection. 2nd week: Euler´s theory of struts, basic modes of struts, applicability of Euler´s theory, buckling in non-elastic region. 3rd week: Laterally loaded struts. 4th week: Membrane analogy of torsion, application on thin rectangular section and thin walled open sections. 5th week: Free pure torsion of thin tube of non-circular section. 6th - 7th week: Effect of warping during torsion of open thin walled sections. 8th - 9th week: Experimental mechanics. 10th - 11th week: Energy in theory of elasticity - applications on: buckling of struts, thin plates and insttability of beams bcause of small width-to-depth ratio. 13th week: Fatigue of materials and structures.
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Learning activities and teaching methods
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Lecture, Practicum
- Preparation for an examination (30-60)
- 38 hours per semester
- Contact hours
- 65 hours per semester
- Undergraduate study programme term essay (20-40)
- 28 hours per semester
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| prerequisite |
|---|
| Knowledge |
|---|
| know and orient in differential equations |
| know and orient in differential and integral calculus |
| know and orient in matrix calculus |
| know and orient in the potential energy of the body |
| know and orientate in inner forces |
| Skills |
|---|
| describe and solve basic types of second order differential equations |
| describe and solve problems with multi-variable functions |
| describe and solve basic problems and problems of linear theory of elasticity |
| know and solve cross-sectional characteristics |
| Competences |
|---|
| N/A |
| N/A |
| N/A |
| N/A |
| learning outcomes |
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| Knowledge |
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| gain knowledge about Castiglian's theorems |
| gain knowledge of free torsion of thin-walled closed and open cross sections |
| gain knowledge of buckling strength |
| gain knowledge of the combined bending stress of struts |
| gain knowledge about the direct energy Ritz method for solving problems of linear theory of elasticity |
| gain knowledge about bending torsion of thin-walled open bars |
| Skills |
|---|
| solve problems using Castigliano's theorem on deformation |
| solve problems of free torsion of thin-walled closed and open cross-sections |
| solve buckling strength problems |
| solve problems of combined bending-buckling stress |
| solve problems of linear theory of elasticity using direct energy Ritz |
| solve problems of bending torsion of thin-walled open bars |
| Competences |
|---|
| N/A |
| N/A |
| N/A |
| N/A |
| teaching methods |
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| Knowledge |
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| Lecture with visual aids |
| Practicum |
| Individual study |
| Self-study of literature |
| Skills |
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| Lecture with visual aids |
| Practicum |
| Task-based study method |
| One-to-One tutorial |
| Competences |
|---|
| Lecture with visual aids |
| Practicum |
| Task-based study method |
| assessment methods |
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| Knowledge |
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| Combined exam |
| Skills demonstration during practicum |
| Seminar work |
| Individual presentation at a seminar |
| Skills |
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| Combined exam |
| Skills demonstration during practicum |
| Individual presentation at a seminar |
| Seminar work |
| Competences |
|---|
| Combined exam |
| Skills demonstration during practicum |
| Seminar work |
| Individual presentation at a seminar |
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Recommended literature
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Plánička F., Krystek J., Kottner R. Pružnost a pevnost ve stavebním inženýrství - Sbírka příkladů.. ZČU v Plzni, 2018. ISBN 978-80-261-0755-2.
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Plánička, František. Základy matematické teorie pružnosti a moderní výpočtové metody. Plzeň : VŠSE, 1991. ISBN 80-7082-032-2.
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Šejnoha, J. - Bittnarová, J. Pružnost a pevnost 20. ČVUT Praha, 1998.
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