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Lecturer(s)
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Weber Michal, prof. Ing. Ph.D.
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Janková Blanka, Ing. Ph.D.
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Course content
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Time schedule: 1st week: Lecture - System of concurrent coplanar forces. Placement and equilibrium of a mass particle in 2D (including passive effects) - analytical and graphical solutions. Tutorials - Analytical and graphical solutions of particle equilibrium in 2D. Application to specific problems. 2nd week: Lecture - Placement and equilibrium of a mass particle in 3D (including passive effects) - analytical solution. Tutorials - Analytical solution of particle equilibrium in 3D. Application to specific problems. 3rd week: Lecture - System of coplanar forces. Placement and equilibrium of a rigid body in 2D (including passive effects) - analytical and graphical solutions. Tutorials - Analytical and graphical solutions of rigid body equilibrium in 2D. Application to specific problems. 4th week: Lecture - Placement and equilibrium of a rigid body in 2D - continued. Frictional forces on flat belts, distributed loading. Tutorials - Analytical and graphical solutions of rigid body equilibrium in 2D. Application to specific problems - continued. 5th week: Lecture - System of three-dimensional forces. Placement and equilibrium of a rigid body in 3D - analytical solution. Tutorials - Analytical solution of rigid body equilibrium in 3D. Application to specific problems. 6th week: Lecture - Internal forces in a rigid body. Tutorials - Analysis of internal forces in a rigid body. Application to problems. 7th week: Lecture - Structure of planar rigid body systems. Mobility and statical determinacy. Tutorials - Simulation examples of moving three- and four-member mechanisms. Model examples of selected mechanisms. 8th week: Lecture - Static analysis of planar frames using free-body diagrams - analytical and graphical solutions. Tutorials - Analytical and graphical solutions of static equilibrium of selected frame structures. 9th week: Lecture - Trusses in engineering practice. Statical determinacy and internal stability, design of trusses. Methods of structural analysis for planar and space trusses (method of joints and method of sections). Tutorials - Static analysis of planar and space trusses. Application to specific problems. 10th week: Lecture - Static analysis of planar machines (including the determination of passive effects) - analytical and graphical solutions. Tutorials - Analytical and graphical solutions of static equilibrium of selected planar mechanisms. Semester work assignment. 11th week: Lecture - Gear systems and spatial rigid body systems. Tutorials - Static analysis of gear systems. 12th week: Lecture - Fundamentals of analytical statics. Coordinates and kinematic pairs. Principle of virtual work. Tutorials - Application of the principle of virtual work in statics. 13th week: Lecture - Stability analysis of the static equilibrium position. Tutorials - Application of the principle of virtual work in statics - continued.
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Learning activities and teaching methods
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- Preparation for an examination (30-60)
- 35 hours per semester
- Undergraduate study programme term essay (20-40)
- 20 hours per semester
- Contact hours
- 52 hours per semester
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| prerequisite |
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| Knowledge |
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| definovat elementární trigonometrické funkce |
| vysvětlit a orientovat se v základech vektorového počtu |
| disponovat znalostmi maticového počtu |
| orientovat se v základních metodách derivování a integrování |
| vysvětlit význam síly a momentu |
| klasifikovat silové soustavy |
| Skills |
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| definovat sílu a moment k bodu i ose |
| provést výpočet náhrady a ekvivalence silové soustavy |
| určit polohu střediska hmotnosti těles |
| řešit soustavy lineárních algebraických rovnic |
| Competences |
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| N/A |
| N/A |
| N/A |
| learning outcomes |
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| Knowledge |
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| definovat počet stupňů volnosti hmotného objektu |
| stanovit příslušný počet podmínek rovnováhy hmotného objektu |
| vysvětlit základní analytické a grafické metody pro statické řešení hmotného bodu |
| vysvětlit základní analytické a grafické metody pro statické řešení tuhého tělesa a soustav těles v rovině |
| orientovat se v principu virtuálních prací |
| vymezit základy analytické statiky |
| Skills |
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| řešit problémy statiky hmotného bodu v rovině a prostoru |
| řešit problémy statiky tuhého tělesa v rovině a prostoru |
| aplikovat metody pro statické řešení rovinných a prostorových prutových soustav |
| vyšetřovat vnitřní statické účinky v tělese |
| Competences |
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| N/A |
| N/A |
| N/A |
| teaching methods |
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| Knowledge |
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| Lecture with visual aids |
| Practicum |
| One-to-One tutorial |
| Textual studies |
| Skills |
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| Lecture with visual aids |
| Practicum |
| One-to-One tutorial |
| Textual studies |
| Competences |
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| Practicum |
| Textual studies |
| assessment methods |
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| Knowledge |
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| Seminar work |
| Oral exam |
| Skills |
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| Seminar work |
| Oral exam |
| Competences |
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| Seminar work |
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Recommended literature
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Hlaváč, Zdeněk; Vimmr, Jan. Sbírka příkladů ze statiky a kinematiky. 2. vyd. V Plzni : Západočeská univerzita, 2012. ISBN 978-80-261-0138-3.
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Juliš,K.-Tepřík,O.-Slavík,A. Statika. SNLT/. ALFA Praha, 1987.
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Křen, Jiří. Řešené příklady ze statiky. I. část. Plzeň : VŠSE, 1985.
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Křen, Jiří. Řešené příklady ze statiky. II. část. 1. vyd. Plzeň : VŠSE, 1985.
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