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2023W, VU, 3.0h, 4.0EC

## Properties

• Semester hours: 3.0
• Credits: 4.0
• Type: VU Lecture and Exercise
• Format: Hybrid

## Learning outcomes

After successful completion of the course, students are able to perform the following tasks and to solve corresponding problems in kinematics and kinetics (in a plane) and of special problems in stability theory and strength of materials as specified below:

Kinematics:

• Determine velocity and acceleration of both material points and (systems of) solid bodies (in Cartesian,- Cylinder- and natural coordinates; within the framework of absolute kinematics);

Kinetics:

• Explicate Newton's laws and the equations of motion, and apply them to plane motion of (systems of) solid bodies;
• Explicate Work, Power, Energy, and Potential, and apply the principle of work and energy and the conservation of energy theorem to the plane motion of (systems of) solid bodies with 1 degree of freedom;
• Explicate the essential differences between linear and nonlinear oscillations, and calculate and interpret free and forced (harmonic) oscillations of a linear oscillator with 1 degree of freedom

Stability theory:

• Explicate the basic definitions of stability theory and Ljapunov's stability criterion
• Explicate the basic methods for an investigation of the stability of equilibrium of a system
• Explicate the influence of imperfections and of critical and non-critical post-buckling behaviour

Special issues of continuum mechanics:

• Discuss buckling of a straight bar
• Explicate the most relevant equivalent stress definitions and yield criteria for metals

## Subject of course

Kinematics:

• velocity and acceleration;
• distribution of velocity and acceleration in a rigid body;
• plane motion of rigid bodies (described within the framework of absolute kinematics)

Kinetics:

• basic laws (principles of impulse and momentum);
• for plane motion and one-degree-of-freedom systems: kinetics of rigid bodies;
• work, energy, and power; principles of work and energy;
• the one-degree-of-freedom linear oscillator: free and forced vibrations

Basic concepts of stability;

Special issues of continuum mechanics:

• buckling of straight bars;
• equivalent stress, yield criteria for metals

## Teaching methods

Oral Presentation of the theory, based on the script;

Presentation of illustrating examples;

In the integrated exercises then problems illustrating the above mentioned topics of mechanics have to be solved by the students under the supervision of the professors and tutors.

## Mode of examination

Immanent

Attention: In the wintersemester 2020 the course will be held as 'hybrid' course; for details see the German version.

## Course dates

DayTimeDateLocationDescription
Mon09:00 - 10:0002.10.2023 - 22.01.2024GM 3 Vortmann Hörsaal - VT Practice time, lecture room
Wed10:00 - 12:0004.10.2023 - 24.01.2024GM 4 Knoller Hörsaal - VT Practice time, lecture room
Mechanics of solid bodies for chemical engineers 2 - Single appointments
DayDateTimeLocationDescription
Mon02.10.202309:00 - 10:00GM 3 Vortmann Hörsaal - VT Practice time, lecture room
Wed04.10.202310:00 - 12:00GM 4 Knoller Hörsaal - VT Practice time, lecture room
Mon09.10.202309:00 - 10:00GM 3 Vortmann Hörsaal - VT Practice time, lecture room
Wed11.10.202310:00 - 12:00GM 4 Knoller Hörsaal - VT Practice time, lecture room
Mon16.10.202309:00 - 10:00GM 3 Vortmann Hörsaal - VT Practice time, lecture room
Wed18.10.202310:00 - 12:00GM 4 Knoller Hörsaal - VT Practice time, lecture room
Mon23.10.202309:00 - 10:00GM 3 Vortmann Hörsaal - VT Practice time, lecture room
Wed25.10.202310:00 - 12:00GM 4 Knoller Hörsaal - VT Practice time, lecture room
Mon30.10.202309:00 - 10:00GM 3 Vortmann Hörsaal - VT Practice time, lecture room
Mon06.11.202309:00 - 10:00GM 3 Vortmann Hörsaal - VT Practice time, lecture room
Wed08.11.202310:00 - 12:00GM 4 Knoller Hörsaal - VT Practice time, lecture room
Mon13.11.202309:00 - 10:00GM 3 Vortmann Hörsaal - VT Practice time, lecture room
Mon20.11.202309:00 - 10:00GM 3 Vortmann Hörsaal - VT Practice time, lecture room
Wed22.11.202310:00 - 12:00GM 4 Knoller Hörsaal - VT Practice time, lecture room
Mon27.11.202309:00 - 10:00GM 3 Vortmann Hörsaal - VT Practice time, lecture room
Wed29.11.202310:00 - 12:00GM 4 Knoller Hörsaal - VT Practice time, lecture room
Mon04.12.202309:00 - 10:00GM 3 Vortmann Hörsaal - VT Practice time, lecture room
Wed06.12.202310:00 - 12:00GM 4 Knoller Hörsaal - VT Practice time, lecture room
Mon11.12.202309:00 - 10:00GM 3 Vortmann Hörsaal - VT Practice time, lecture room
Wed13.12.202310:00 - 12:00GM 4 Knoller Hörsaal - VT Practice time, lecture room

## Examination modalities

Two tests; for further details see the German version. To take part in the tests, please subscribe to the dated exam at the end of semester.

## Exams

DayTimeDateRoomMode of examinationApplication timeApplication modeExam
Mon09:00 - 10:0009.12.2024GM 3 Vortmann Hörsaal - VT writtenno application-1. Test
Mon09:00 - 10:0009.12.2024Seminarraum BA 02B writtenno application-1. Test
Mon09:00 - 10:0027.01.2025GM 3 Vortmann Hörsaal - VT writtenno application-2. Test
Mon09:00 - 10:0027.01.2025Seminarraum BA 02B writtenno application-2. Test
Thu14:00 - 15:0020.02.2025Seminarraum BA 02A writtenno application-Ersatztest

## Course registration

Begin End Deregistration end
20.09.2023 08:00 24.11.2023 10:00 24.11.2023 10:00

### Precondition

The student has to be enrolled for at least one of the studies listed below

## Curricula

Study CodeObligationSemesterPrecon.Info
033 273 Chemical and Process Engineering Mandatory3. Semester
734 Apparatus, Plant and Process Engineering Mandatory4. Semester
735 Chemical Engineering Mandatory4. Semester

## Literature

Lecture notes for this course are available.

German