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Course info
KME / PPS1
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Course description
Department/Unit / Abbreviation
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KME
/
PPS1
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Academic Year
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2023/2024
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Academic Year
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2023/2024
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Title
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Mechanics of Materials 1
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Form of course completion
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Exam
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Form of course completion
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Exam
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Accredited / Credits
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Yes,
5
Cred.
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Type of completion
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Combined
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Type of completion
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Combined
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Time requirements
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Lecture
3
[Hours/Week]
Tutorial
2
[Hours/Week]
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Course credit prior to examination
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Yes
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Course credit prior to examination
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Yes
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Automatic acceptance of credit before examination
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No
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Included in study average
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YES
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Language of instruction
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Czech
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Occ/max
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|
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Automatic acceptance of credit before examination
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No
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Summer semester
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0 / -
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0 / -
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0 / -
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Included in study average
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YES
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Winter semester
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21 / -
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0 / -
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0 / -
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Repeated registration
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NO
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Repeated registration
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NO
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Timetable
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Yes
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Semester taught
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Winter semester
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Semester taught
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Winter semester
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Minimum (B + C) students
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10
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Optional course |
Yes
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Optional course
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Yes
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Language of instruction
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Czech
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Internship duration
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0
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No. of hours of on-premise lessons |
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Evaluation scale |
1|2|3|4 |
Periodicity |
každý rok
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Evaluation scale for credit before examination |
S|N |
Periodicita upřesnění |
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Fundamental theoretical course |
Yes
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Fundamental course |
No
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Fundamental theoretical course |
Yes
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Evaluation scale |
1|2|3|4 |
Evaluation scale for credit before examination |
S|N |
Substituted course
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None
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Preclusive courses
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N/A
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Prerequisite courses
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N/A
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Informally recommended courses
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N/A
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Courses depending on this Course
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N/A
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Histogram of students' grades over the years:
Graphic PNG
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XLS
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Course objectives:
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A student
- will know basic assumptions, patterns and the metology necessary to solve tasks of advanced theory of elasticity,
- understands to plane stress and strain conditions, three stress condition basics of theory of plasticity and basics of finite element method
- understands influence of shearing stresses in the case of bending beams, principle of Finite Elemente Method,
- will acguaint with principle of strucure design using the Method of Eurocodes.
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Requirements on student
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Credit requirement:
Elaborate and transmited seminar work in request quality.
Exam requirement:
Knowledge of lectured subjects with capability of its application for solution of concrete tasks.
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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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Activities
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Fields of study
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Studentům je k dispozici kurz v Google Classroom se všemi podstatnými informacemi a elektronickými materiály.
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Guarantors and lecturers
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Literature
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Basic:
Šejnoha J. - Bittnerová J. Pružnost a pevnost. ČVUT Praha, 2006.
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Basic:
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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Recommended:
Žák, Jaroslav; Pěnčík, Jan. Stavební mechanika. Antikva, 2005.
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Recommended:
Plánička, František. Základy matematické teorie pružnosti a moderní výpočtové metody. Plzeň : VŠSE, 1991. ISBN 80-7082-032-2.
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Recommended:
Plánička, František; Kuliš, Zdeněk. Základy teorie plasticity. Praha : ČVUT, 2004. ISBN 80-01-02876-3.
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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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32
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Contact hours
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65
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Undergraduate study programme term essay (20-40)
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34
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Total
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131
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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: |
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 - students are expected to possess the following skills before the course commences to finish it successfully: |
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 - students are expected to possess the following competences before the course commences to finish it successfully: |
N/A |
N/A |
N/A |
N/A |
N/A |
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Learning outcomes
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Knowledge - knowledge resulting from the course: |
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 - skills resulting from the course: |
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 - 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: |
Combined exam |
Seminar work |
Skills demonstration during practicum |
Individual presentation at a seminar |
Skills - skills achieved by taking this course are verified by the following means: |
Combined exam |
Skills demonstration during practicum |
Seminar work |
Individual presentation at a seminar |
Competences - competence achieved by taking this course are verified by the following means: |
Combined exam |
Skills demonstration during practicum |
Seminar work |
Individual presentation at a seminar |
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Teaching methods
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Knowledge - the following training methods are used to achieve the required knowledge: |
Interactive lecture |
Practicum |
Task-based study method |
Self-study of literature |
Skills - the following training methods are used to achieve the required skills: |
Interactive lecture |
Practicum |
Individual study |
Self-study of literature |
Competences - the following training methods are used to achieve the required competences: |
Interactive lecture |
Practicum |
Task-based study method |
Self-study of literature |
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