Course objectives:
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Course objectives:
- to introduce students to analytical and graphical methods for the static analysis of mass particles and rigid bodies in 2D and 3D,
- to familiarise students with static analysis of planar and spatial rigid body systems (frames, trusses, mechanisms),
- to provide students with the basics of analytical statics and to introduce them to the principle of virtual work.
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Requirements on student
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Credit requirements
Preparation and submission of a semester work of adequate quality.
Credits from previous years of study are not accepted.
Exam requirements
Active knowledge of the lecture content and the ability to apply the acquired knowledge to the solution of specific problems.
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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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Activities
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Fields of study
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Guarantors and lecturers
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Literature
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Basic:
Juliš,K.-Tepřík,O.-Slavík,A. Statika. SNLT/. ALFA Praha, 1987.
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Extending:
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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Recommended:
Křen, Jiří. Řešené příklady ze statiky. I. část. Plzeň : VŠSE, 1985.
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Recommended:
Křen, Jiří. Řešené příklady ze statiky. II. část. 1. vyd. Plzeň : VŠSE, 1985.
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On-line library catalogues
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Time requirements
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All forms of study
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Activities
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Time requirements for activity [h]
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Preparation for an examination (30-60)
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35
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Contact hours
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52
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Undergraduate study programme term essay (20-40)
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20
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Total
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107
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Prerequisites
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Knowledge - students are expected to possess the following knowledge before the course commences to finish it successfully: |
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 - students are expected to possess the following skills before the course commences to finish it successfully: |
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 - students are expected to possess the following competences before the course commences to finish it successfully: |
N/A |
N/A |
N/A |
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Learning outcomes
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Knowledge - knowledge resulting from the course: |
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 - skills resulting from the course: |
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 - competences resulting from the course: |
N/A |
N/A |
N/A |
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Assessment methods
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Knowledge - knowledge achieved by taking this course are verified by the following means: |
Seminar work |
Oral exam |
Skills - skills achieved by taking this course are verified by the following means: |
Seminar work |
Oral exam |
Competences - competence achieved by taking this course are verified by the following means: |
Seminar work |
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Teaching methods
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Knowledge - the following training methods are used to achieve the required knowledge: |
Lecture with visual aids |
Practicum |
One-to-One tutorial |
Textual studies |
Skills - the following training methods are used to achieve the required skills: |
Lecture with visual aids |
Practicum |
One-to-One tutorial |
Textual studies |
Competences - the following training methods are used to achieve the required competences: |
Practicum |
Textual studies |
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