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Course info
KME / MM-E
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Course description
Department/Unit / Abbreviation
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KME
/
MM-E
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Academic Year
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2024/2025
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Academic Year
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2024/2025
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Title
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Mechanics of Materials
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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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No,
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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English
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Occ/max
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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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0 / -
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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 + Summer
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Semester taught
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Winter + Summer
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Minimum (B + C) students
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1
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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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English
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Internship duration
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0
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No. of hours of on-premise lessons |
0
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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 |
No
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Fundamental course |
No
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Fundamental theoretical course |
No
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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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The aim of the course is to acquaint students with fundamental quantities in mechanics of materials (internal and external forces; strain; stress, three-dimensional, plane and uniaxial stress state; transformation of components and Mohr's diagram; principal stresses and planes; Hooke's law), basic types of loading of objects with simple geometry (rods, beams, cylindrical vessels, shells of revolution; tension-compression, bending, torsion, buckling; analysis of displacements and rotations) and their combinations, with statically determinate and indeterminate problems, strength and yield criteria (Tresca, Von Mises, Mohr-Coloumb), conservation of energy (strain-energy density; work of internal and external forces; Castigliano's method) and fundamentals of experimental testing of materials (tensile, torsion, and compression tests).
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Requirements on student
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Requirements for credit:
Elaboration and submission of semester work in electronic form.
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. External and internal forces. Mechanical equilibrium. Method of sections. Definition of stress and strain. Normal and shear stress. Axial and shear strain. Three-dimensional stress state. Assumptions, definition and solution approaches of linear elastostatic problem.
2. Transformation of coordinates, stress tensor, and strain tensor. Principal planes, stresses and strains. Maximum shear stress. Mohr's diagram for stresses and strains.
3. Hooke's law. Determination of material parameters using experimental tests. Stress-strain response of ductile and brittle materials. Engineering constants (Young's modulus, Poisson's ratio, shear modulus).
4. Strain-energy density. Failure and yield criteria (Tresca, Von Mises, Mohr-Coloumb).
5. Geometrical characteristics of areas (first, second, product and polar moments of inertia). Composite shapes. Parallel axis theorem. Moments for rotated axes. Mohr's circle. Principal axes and moments.
6. Pure tension-compression of rods. Assumptions, internal loads, designing dimensions, analysis of deformation (displacement, elongation).
7. Pure torsion of cylindrical rods. Assumptions, internal loads, designing dimensions, analysis of deformation (rotation).
8. Bending of slender beams. Assumptions (Euler-Bernoulli beam theory), internal loads, Schwedler's theorem, designing dimensions, analysis of deformation (deflection, rotation).
9. Effects of temperature. Statically determinate and indeterminate structures (tension, torsion, bending).
10. Castigliano's theorem. Planar curved beams and frames.
11. Stability (buckling) of straight rods. Euler's and Tetmayer's theories.
12. Thick-walled cylindrical vessels.
13. Thin-walled shells of revolution.
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Activities
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Fields of study
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https://www.kme.zcu.cz/pro-studenty/predmety
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Guarantors and lecturers
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Literature
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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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25
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Contact hours
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65
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Total
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140
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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: |
knows fundamental methods of differentiation and integration |
knows fundamentals of matrix and vector algebra |
knows mechanics of point masses and rigid bodies |
knows fundamentals of mathematical analysis |
Skills - students are expected to possess the following skills before the course commences to finish it successfully: |
is able to solve set of linear equations |
is able to find basic derivatives and evaluate basic integrals |
is able to apply matrix and vector alebra |
is able to apply fundamentals of mathematical analysis |
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: |
student orients himself in the relationships of linear elastostatics |
is able to solve stress and strain states of simple bodies loaded in tension, torsion, bending, or combinations thereof |
can solve problems of uniaxial, plane, and threedimensional stress states and applies failure conditions in dimensions designing |
applies the knowledge of the course on principal problems of linear elastostatics in real-world problems |
Skills - skills resulting from the course: |
is able to analytically solve problems of stresses and strains of rods and beams loaded in tension, torsion, or bending |
is able to design dimensions of loaded rod or beam |
is able to analyze uniaxial, plane, and three-dimensional states of stress |
is able to apply failure conditions |
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 |
Skills - skills achieved by taking this course are verified by the following means: |
Combined 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 |
Skills - the following training methods are used to achieve the required skills: |
Practicum |
Competences - the following training methods are used to achieve the required competences: |
Self-study of literature |
Individual study |
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