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Course info
KME / PP1
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Course description
Department/Unit / Abbreviation
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KME
/
PP1
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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]
|
Course credit prior to examination
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Yes
|
Course credit prior to examination
|
Yes
|
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, English
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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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165 / -
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0 / -
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1 / -
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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, English
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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
|
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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KME/SZMPT
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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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The aim of the course is to acquaint students with fundamental quantities (internal and external forces, stress, stress state, strain), Hooke's Law, basic types of loading (tension-compression, bending, torsion (stress and strain)), with statically determinate and indeterminate problems, strength and stiffness conditions, plane and three-dimensional state of stress (Mohr's circle, principal stresses and planes), strain energy, with yield criteria (Guest, Von Mises and Mohr), combined loading, Castigliano's method and with fundamentals of strain-gauge measurement.
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Requirements on student
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Requirements for credit:
Elaboration and submission of semester work having relevant quality.
Requirements for exam:
Active knowledge of lectured subject matter and its application in the solution of specific problems.
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Content
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1) Introduction: classification of the subject, content of the subject. Principal assumptions for the solution of problems in mechanics of materials, methods of solution. External effects on body, external and internal forces, definition of stress and strain.
2) Pure tension - compression. Tensile test, work diagram, deformation energy, strain energy density, Hooke's Law, law of superposition of stresses and displacements, deformation of rod, strength condition. Strain energy for pure tension (compression). Transverse deformation (Poisson's ratio), relative change of volume. Statically indeterminate problems.
3) Geometrical characteristics of cross-sections: first, second and product moments of area, moments of composite areas, moments for parallel axes - (Huygens-Steiner) Parallel axis theorem. Moments for rotated axes. Mohr's circle, principal axes and principal moments. Polar moment of area.
4) Bending of straight beams: definition of pure bending. Identification of internal force effects - normal and shear forces, bending moment - method of sections, Schwedler's theorem. Normal and shear stresses and distribution thereof over cross-section, strength criterion, strain energy.
5) Deflection of beams: double integration method, method of moment areas (Mohr's method).
6) Method of moment areas (Mohr's method) for determining the beam deflection (simply supported beam, cantilever beam, overhanging beam).
7) Deflection of variable cross-section beam. Statically indeterminate cases: compensation method.
8) Torsion: definition of pure torsion. Circular cross-section: derivation of stress and strain formulae, strength condition. Generalization for arbitrary cross-section. Strain energy.
9) Plane stress: definition, relations for stress components in arbitrary plane, Mohr's circle, principal stresses, maximum shear stress. Strains for plane stress - Hooke's Law.
10) Three-dimensional elasticity: definition, principal stresses, Mohr's circle, Hooke's Law, review of uniaxial and plane stresses from the 3D case point of view. Strain energy density for 3D case.
11) Ultimate stresses (Yield criteria): Guest, Von Mises, Mohr.
12) Combined loading.
13) Fundamentals of strain-gauge measurement: electrical resistive strain-gauges, compensation of temperature changes, strain-gauge measurements, principal of measurement bridges. Calculation of stress from measured strains: uniaxial, plane stress for known and unknown principal directions.
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Activities
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Fields of study
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https://www.kme.zcu.cz/pro-studenty/modernizace-vyuky-ve-vybranych-predmetech-garantovanych-na-katedre-mechaniky-fav-zcu-v-plzni/modernizace-vyuky-predmetu-pruznost-a-pevnost-1-kme-pp1
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Guarantors and lecturers
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Guarantors:
Prof. Ing. Vladislav Laš, CSc. (100%),
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Lecturer:
Prof. Ing. Vladislav Laš, CSc. (100%),
Ing. Martin Zajíček, Ph.D. (100%),
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Tutorial lecturer:
Ing. Jan Heczko, Ph.D. (100%),
Ing. Jakub Šulda (100%),
Ing. Tereza Vaňková (100%),
Ing. Martin Zajíček, Ph.D. (100%),
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Literature
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Basic:
Hájek, Emanuel. Pružnost a pevnost I. Praha : ČVUT, 1984.
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Basic:
Hájek, Emanuel; Reif, Pavel; Valenta, František. Pružnost a pevnost I. Praha : SNTL, 1988.
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Extending:
Pružnost a pevnost II : kolektiv. 2. díl. Praha : ČVUT, 1985.
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Recommended:
Gere, J. M. Mechanics of materials. 6th ed. Toronto : Thomson, 2006. ISBN 0-534-41793-0.
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Recommended:
Riley, William F.; Sturges, Leroy D.; Morris, Don H. Mechanics of materials. 6th ed. Hoboken : John Wiley & Sons, 2007. ISBN 978-0-471-70511-6.
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Recommended:
Hearn, E. J. Mechanics of materials : an introduction to the mechanics of elastic and plastic deformation of solids and structural materials. 2. 3rd ed. Oxford : Butterworth-Heinemann, 1997. ISBN 0-7506-3266-6.
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Recommended:
Němec, Jaroslav; Dvořák, Jan; Höschl, Cyril. Pružnost a pevnost ve strojírenství. Praha : SNTL, 1989.
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Recommended:
Laš, Vladislav; Hlaváč, Zdeněk; Vacek, Vlastimil. Technická mechanika v příkladech. Plzeň : Západočeská univerzita, 2001. ISBN 80-7082-849-8.
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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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50
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Undergraduate study programme term essay (20-40)
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30
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Contact hours
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65
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Total
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145
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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: |
zná základní metody derivace a integrace |
zná základy maticového a vektorového počtu |
zná mechaniku hmotného bodu a tuhého tělesa |
zná základy matematické analýzy |
Skills - students are expected to possess the following skills before the course commences to finish it successfully: |
dovede řešit soustavu lineárních rovnic |
dovede řešit základní typy integrálů |
dovede používat maticový a vektorový počet |
dovede použít základy matematické analýzy |
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
|
Knowledge - knowledge resulting from the course: |
student - se orientuje v souvislostech lineární pružnosti a pevnosti |
umí řešit napjatost a deformace jednoduchých součástí namáhaných tahem, krutem, ohybem a jejich kombinacemi |
umí řešit úlohy rovinné napjatosti a aplikuje podmínky pevnosti |
aplikuje znalosti předmětu na základní problémy lineární pružnosti v technické praxi |
Skills - skills resulting from the course: |
dovede analyticky řešit napjatost a deformaci prutu namáhaného tahem krutem a ohybem |
dovede dimenzovat namáhaný prut |
dovede analyzovat rovinnou a prostorovou napjatost |
dovede aplikovat podmínky pevnosti |
Competences - competences resulting from the course: |
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: |
Written exam |
Skills - skills achieved by taking this course are verified by the following means: |
Written 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 |
Lecture supplemented with a discussion |
Skills - the following training methods are used to achieve the required skills: |
Practicum |
Textual studies |
Competences - the following training methods are used to achieve the required competences: |
Textual studies |
Self-study of literature |
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