|
|
Main menu for Browse IS/STAG
Course info
KME / TM-E
:
Course description
Department/Unit / Abbreviation
|
KME
/
TM-E
|
Academic Year
|
2024/2025
|
Academic Year
|
2024/2025
|
Title
|
Technical Mechanics
|
Form of course completion
|
Exam
|
Form of course completion
|
Exam
|
Accredited / Credits
|
Yes,
5
Cred.
|
Type of completion
|
Combined
|
Type of completion
|
Combined
|
Time requirements
|
Lecture
3
[Hours/Week]
Tutorial
2
[Hours/Week]
|
Course credit prior to examination
|
Yes
|
Course credit prior to examination
|
Yes
|
Automatic acceptance of credit before examination
|
No
|
Included in study average
|
NO
|
Language of instruction
|
English
|
Occ/max
|
|
|
|
Automatic acceptance of credit before examination
|
No
|
Summer semester
|
0 / -
|
0 / -
|
0 / -
|
Included in study average
|
NO
|
Winter semester
|
0 / -
|
0 / -
|
0 / -
|
Repeated registration
|
NO
|
Repeated registration
|
NO
|
Timetable
|
Yes
|
Semester taught
|
Winter + Summer
|
Semester taught
|
Winter + Summer
|
Minimum (B + C) students
|
1
|
Optional course |
Yes
|
Optional course
|
Yes
|
Language of instruction
|
English
|
Internship duration
|
0
|
No. of hours of on-premise lessons |
0
|
Evaluation scale |
1|2|3|4 |
Periodicity |
každý rok
|
Evaluation scale for credit before examination |
S|N |
Periodicita upřesnění |
|
Fundamental theoretical course |
No
|
Fundamental course |
No
|
Fundamental theoretical course |
No
|
Evaluation scale |
1|2|3|4 |
Evaluation scale for credit before examination |
S|N |
Substituted course
|
None
|
Preclusive courses
|
N/A
|
Prerequisite courses
|
N/A
|
Informally recommended courses
|
N/A
|
Courses depending on this Course
|
N/A
|
Histogram of students' grades over the years:
Graphic PNG
,
XLS
|
Course objectives:
|
To introduce students to statics, kinematics and dynamics of a mass particle, rigid body and their systems.
|
Requirements on student
|
- credit requirements:
Preparation and submission of a term paper, which will involve solving a particular problem.
- examination requirements:
The student must demonstrate that he/she has an active knowledge of the theory presented in the course and is able to apply the acquired knowledge and skills to the solution of fundamental problems.
|
Content
|
1) Fundamentals of statics (force, moment, work, power). Principle of moments/Varignon's theorem. Basic theorems of statics.
2) Concurrent force systems. Equilibrium of a particle in 2D (with/without friction). Free-body diagrams.
3) Kinematics of a particle (linear and curvilinear motions).
4) Dynamics of a mass particle. D'Alembert's principle and theorems on the motion of a mass particle.
5) Elementary oscillation theory of linear systems with a single degree of freedom. Free and forced vibrations.
6) Non-parallel and parallel coplanar force systems. Center of mass. Equilibrium of a rigid body in 2D (basic kinemtic pairs/joints, with/without friction).
7) Equilibrium of a rigid body in 2D - analytical and graphical methods. Distributed loadings.
8) Planar kinematics of a rigid body (translation, rotation about a fixed axis, general plane motion). Relative-motion analysis using translating axes (basic decomposition).
9) Instantaneous centre of zero velocity/instant centre of rotation, fixed and moving centrodes. Relative-motion analysis using rotating axes (general decomposition).
10) Dynamics of a rigid body (translation, rotation about a fixed axis, general plane motion).
11) Basic planar systems of rigid bodies (linkages). Equilibrium of a system of rigid bodies - analytical and graphical methods.
12) Planar kinematics of a system of rigid bodies - analytical and graphical methods.
13) Dynamics of a system of rigid bodies. Free-body diagrams. Energy methods.
|
Activities
|
|
Fields of study
|
Studentům je k dispozici kurz v Google Classroom s podstatnými informacemi a studijními materiály.
|
Guarantors and lecturers
|
|
Literature
|
-
Basic:
Hibbeler, R. C. Engineering mechanics : dynamics. 11th ed. Singapore : Prentice Hall, 2007. ISBN 978-0-13-203809-6.
-
Basic:
Hibbeler, Russell C. Engineering mechanics. Statics / R.C. Hibbeler. 11th ed. Upper Saddle River : Prentice Hall, 2006. ISBN 0-13-221500-4.
-
Basic:
Uicker, John Joseph.; Shigley, Joseph Edward,; Pennock, Gordon R. Theory of machines and mechanisms. 4th ed. New York : Oxford University Press, 2011. ISBN 978-0-19-537123-9.
-
Recommended:
Norton, Robert L. Design of machinery : an introduction to the synthesis and analysis of mechanisms and machines. cop. 1992. New York : McGraw-Hill, 1992. ISBN 0-07-909702-2.
-
Recommended:
Nelson, E. W.; Best, Charles L.; McLean, W. G.; Potter, Merle C. Statics. 2010. ISBN 978-0-07-163237-9.
-
Recommended:
Beer, Ferdinand P. Vector mechanics for engineers : statics and dynamics. 7th ed. New York : McGraw-Hill, 2004. ISBN 0071218289.
-
On-line library catalogues
|
Time requirements
|
Full-time form of study
|
Activities
|
Time requirements for activity [h]
|
Undergraduate study programme term essay (20-40)
|
25
|
Preparation for an examination (30-60)
|
50
|
Contact hours
|
65
|
Total
|
140
|
|
Prerequisites
|
Knowledge - students are expected to possess the following knowledge before the course commences to finish it successfully: |
- good understanding of vector calculus |
- fundamentals of vector analysis |
- good knowledge of trigonometry and linear algebra |
- fundamentals of differential and integral calculus |
- basic knowledge on linear differential equations |
Skills - students are expected to possess the following skills before the course commences to finish it successfully: |
- ability to calculate the dot and cross products of two vectors |
- ability to solve basic trigonometric problems |
- ability to calculate the derivatives and integrals of elementary functions |
- ability to solve basic linear differential equations |
Competences - students are expected to possess the following competences before the course commences to finish it successfully: |
N/A |
N/A |
- ability to search and process information from various sources, creative use of information for his/her study and work
- ability to propose and verify hypotheses, use of various approaches for the solution of problems and verification of hypotheses
- ability to effectively use all available means of communication, verbal and non-verbal, including symbolic and graphic expressions of information of various types |
|
Learning outcomes
|
Knowledge - knowledge resulting from the course: |
- understanding the principles of statics of a particle, rigid body and their systems |
- understanding the principles of kinematics of a particle, rigid body and their systems |
- knowledge on how to define fundamental quantities such as momentum, angular momentum, kinetic energy and moment of inertia |
- ability to identify the effects of inertia on a rigid body undergoing translation, rotation and general plane motion |
- ability to describe the principles of free-body diagrams and energy methods |
- ability to classify free and forced vibrations of single-degree-of-freedom systems |
Skills - skills resulting from the course: |
- ability to analytically and graphically solve equilibrium problems involving particles, rigid bodies or their systems (with and without friction) |
- ability to analytically and graphically solve problems of planar kinematics involving particles, rigid bodies or their systems |
- ability to solve dynamics problems involving the motion of a mass particle and the translation, rotation and general plane motion of a rigid body |
- ability to demonstrate the use of free-body diagrams and energy methods for the solution of selected problems |
- ability to solve free and forced vibrations of damped and undamped linear systems with a single degree of freedom |
Competences - competences resulting from the course: |
N/A |
N/A |
- ability to make independent and responsible decisions on the basis of a frame assignment
- ability to clearly and convincingly inform experts and laymen about the nature of particular problems and the proposal of methods for their solution |
|
Assessment methods
|
Knowledge - knowledge achieved by taking this course are verified by the following means: |
Seminar work |
Combined exam |
Skills - skills achieved by taking this course are verified by the following means: |
Seminar work |
Combined exam |
Competences - competence achieved by taking this course are verified by the following means: |
Seminar work |
Combined exam |
|
Teaching methods
|
Knowledge - the following training methods are used to achieve the required knowledge: |
Interactive lecture |
Self-study of literature |
Skills - the following training methods are used to achieve the required skills: |
Interactive lecture |
Practicum |
Competences - the following training methods are used to achieve the required competences: |
Task-based study method |
Individual study |
|
|
|
|