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Lecturer(s)
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Mandys Tomáš, Ing. Ph.D.
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Krystek Jan, Ing. Ph.D.
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Course content
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1. Introduction, external and interval forces, stress components, stress state, Hookeś law, strain energy. 2. Methods of designe of structures, method of partial factors of European standards. Method degree of safety, method of partial factors by European standards. 3. Stress analysis of bars: Assumptions, kinematic of cross-section displacement, normal stress in the field of elastic deformations. 4. - 5. Tension-compression, bending. 6. Unsimmetrical bending, neutral axis, stress and strain distribution. Bar under eccentric axial load, core of the cross-section. 7. Statically indeterminate tasks. Tension. torsion. 8. Statically indeterminate tasks. Bending. 9. - 10. Plasticity: Plastic tension, bending (elastic-plastic state, plastic limit moment,an ideal plastic hinge, plastic collapse of the beams, plastic yelding in eccentric axial loading. Criteria of yelding. Theories of plasticity: Guest´s and von Mises´s criteria, Mohr´s criterion. 11. Shear stress in beams, in rectangular cros-section, in thin walled open sections application on welded, screwed and rivet connections. 12. Plane stress and strain states. 13. Three dimensional stress-strain states.
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Learning activities and teaching methods
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Lecture, Practicum
- Preparation for an examination (30-60)
- 32 hours per semester
- Undergraduate study programme term essay (20-40)
- 34 hours per semester
- Contact hours
- 65 hours per semester
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| prerequisite |
|---|
| Knowledge |
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| know and orient in differential and integral calculus |
| know and orient in linear algebra |
| know and orient in classical mechanics of bodies |
| know and be familiar with the geometric characteristics of cross sections |
| know and be familiar with the components of tension and internal forces |
| Skills |
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| determine internal forces |
| solve ordinary second order differential equations with constant coefficients |
| choose a suitable method for calculating the deformation of the body |
| apply Hooke's law in solving problems of linear theory of elasticity |
| Competences |
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| N/A |
| N/A |
| N/A |
| N/A |
| N/A |
| learning outcomes |
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| Knowledge |
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| have an overview of methods for solving problems of linear theory of elasticity |
| gain knowledge of the combined stress of members |
| gain basic knowledge about the plastic state of bodies |
| gain knowledge about plastic collapse of beams |
| gain knowledge of the limit states of building elements |
| gain knowledge of the finite element method |
| Skills |
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| create a computational model of the task |
| solve statically indeterminate problems |
| determine the ultimate load for the occurrence of plastic collapse of the beam |
| assess the reliability of the structural element according to the 1st and 2nd limit state |
| apply combined bending-tensile stress to members |
| Competences |
|---|
| N/A |
| N/A |
| N/A |
| teaching methods |
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| Knowledge |
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| Interactive lecture |
| Practicum |
| Task-based study method |
| Self-study of literature |
| Skills |
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| Interactive lecture |
| Practicum |
| Individual study |
| Self-study of literature |
| Competences |
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| Interactive lecture |
| Practicum |
| Task-based study method |
| Self-study of literature |
| assessment methods |
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| Knowledge |
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| Combined exam |
| Seminar work |
| Skills demonstration during practicum |
| Individual presentation at a seminar |
| Skills |
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| Combined exam |
| Skills demonstration during practicum |
| Seminar work |
| Individual presentation at a seminar |
| 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; Kuliš, Zdeněk. Základy teorie plasticity. Praha : ČVUT, 2004. ISBN 80-01-02876-3.
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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. - Bittnerová J. Pružnost a pevnost. ČVUT Praha, 2006.
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Žák, Jaroslav; Pěnčík, Jan. Stavební mechanika. Antikva, 2005.
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