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2024S, UE, 2.0h, 2.0EC

## Properties

• Semester hours: 2.0
• Credits: 2.0
• Type: UE Exercise
• Format: Presence

## Learning outcomes

After successful completion of the course, students are able to:

• identify given forces like those of springs, gliding friction, gravity, and also (other) distributed forces, and to formulate them mathematically for the solution of equilibrium problems;
• apply the conditions of equilibrium both graphically and arithmetically to find the constraining forces in a statically determined system;
• determine the stress resultants in beam-like structures as functions of a characteristic coordinate and to represent them graphically;
• determine in adhesion problems the limits of equilibrium with respect both to the onset of sliding and to tilting graphically as well as arithmetically and to find the necessary minimum coefficient of adhesion for equilibrium; moreover, to check systems for self-locking behaviour; furthermore, to find the forces in systems where bodies move with sliding friction (and constant velocity) both graphically and arithmetically;
• determine the forces in (statically determined) trusses both graphically and arithmetically;
• determine the center of gravity of bodies and plane areas by integration, Guldin's rule, and appropriate combination of sub-bodies/areas with already determined centers of gravity;
• determine the moments of inertia and products of inertia both for bodies and plane areas by integration and application of Steiner's law;
• explicate the basics of linear elasticity theory and to apply Hooke's law;
• find the stresses and displacements in straight Euler-Bernoulli bars caused by tension/compression, bending, and torsion both for statically determined and undetermined systems; to this aim, to apply the principle of superposition and Mohr's method, too;
• explicate the effects of shear forces in straight bars;
• explicate the basics of the statics of ropes and chains under the influence of gravity

## Subject of course

In the exercise units, particular exercise examples are solved. The subject of each example is tailored to the topic of the respective lecture. Essential parts of each solution procedure are (i) finding adequate physical approaches, (ii) their accurate mathematical formulation and computation, (iii) the physical interpretation of the mathematical solutions, and (iv) the critical analysis of the obtained results.

## Teaching methods

Exercise

The students are encouraged to autonomously approach solutions for the exercise examples. Students are thereby guided and supported by the lecturer. In addition, tutors are in attendance to individually answer emerging questions. Conclusively, the lecturer presents a feasible solution for each example, refers briefly to the respective theoretical basis and remarks alternative solution strategies.

## Mode of examination

Immanent

The further course is organised via TUWEL.
For general questions to the course, , please use the forum in TUWEL. You are welcome to use this forum for technical discussion as well!
Please address individual questions w.r.t. the organisation of the course exclusively to mechanik1UE@tuwien.ac.at.
Individual technical questions can be discussed in the tutorial sessions, which can be booked in the TUWEL course.

## Examination modalities

Attendance in 8 of 11 lectures an two tests.

## Exams

DayTimeDateRoomMode of examinationApplication timeApplication modeExam
Thu18:00 - 20:0008.05.2025FH Hörsaal 1 - MWB assessedno application-1. Test (Paralleltermin)
Thu18:00 - 20:0008.05.2025HS 18 Czuber - MB assessedno application-1. Test (Paralleltermin)
Thu18:00 - 20:0008.05.2025EI 7 Hörsaal - ETIT assessedno application-1. Test (Paralleltermin)
Thu18:00 - 20:0008.05.2025GM 1 Audi. Max.- ARCH-INF assessedno application-1. Test (Paralleltermin)
Thu18:00 - 20:0008.05.2025GM 5 Praktikum HS- TCH assessedno application-1. Test (Paralleltermin)
Thu18:00 - 20:0008.05.2025GM 2 Radinger Hörsaal - TCH assessedno application-1. Test (Paralleltermin)
Mon18:00 - 20:0023.06.2025GM 2 Radinger Hörsaal - TCH assessedno application-2. Test (Paralleltermin)
Mon18:00 - 20:0023.06.2025GM 5 Praktikum HS- TCH assessedno application-2. Test (Paralleltermin)
Mon18:00 - 20:0023.06.2025FH Hörsaal 1 - MWB assessedno application-2. Test (Paralleltermin)
Mon18:00 - 20:0023.06.2025EI 7 Hörsaal - ETIT assessedno application-2. Test (Paralleltermin)
Mon18:00 - 20:0023.06.2025HS 18 Czuber - MB assessedno application-2. Test (Paralleltermin)
Mon18:00 - 20:0023.06.2025GM 1 Audi. Max.- ARCH-INF assessedno application-2. Test (Paralleltermin)
Wed10:00 - 12:0023.07.2025HS 18 Czuber - MB assessedno application-Ersatztest (Paralleltermin)
Wed10:00 - 12:0023.07.2025FH Hörsaal 1 - MWB assessedno application-Ersatztest (Paralleltermin)
Wed10:00 - 12:0023.07.2025GM 1 Audi. Max.- ARCH-INF assessedno application-Ersatztest (Paralleltermin)
Wed10:00 - 12:0023.07.2025GM 5 Praktikum HS- TCH assessedno application-Ersatztest (Paralleltermin)
Wed10:00 - 12:0023.07.2025GM 2 Radinger Hörsaal - TCH assessedno application-Ersatztest (Paralleltermin)

## Group dates

GroupDayTimeDateLocationDescription
Gruppe 01 - UE Mechanik 1 MO14Mon14:00 - 16:0011.03.2024 - 17.06.2024EI 1 Petritsch HS 309.021 Mechanics of solid bodies, exercises 1 Gruppe 01 - UE Mechanik 1 MO14
Gruppe 02 - UE Mechanik 1 MO16Mon16:00 - 18:0011.03.2024 - 17.06.2024FH Hörsaal 2 309.021 Mechanics of solid bodies, exercises 1 Gruppe 02 - UE Mechanik 1 MO16
Gruppe 03 - UE Mechanik 1 Di14Tue14:00 - 16:0012.03.2024 - 18.06.2024Seminarraum BA 08A - MB 309.021 Mechanics of solid bodies, exercises 1 Gruppe 03 - UE Mechanik 1 Di14
Gruppe 04 - UE Mechanik 1 Di16Tue16:00 - 18:0012.03.2024 - 18.06.2024GM 8/9 - Hörsaal des Internationalen Wiener Motorensymposiums 309.021 Mechanics of solid bodies, exercises 1 Gruppe 04 - UE Mechanik 1 Di16
Gruppe 05 - UE Mechanik 1 Di16Tue16:00 - 18:0012.03.2024 - 18.06.2024Seminarraum BA 05 - MB 309.021 Mechanics of solid bodies, exercises 1 Gruppe 05 - UE Mechanik 1 Di16
Gruppe 06 - UE Mechanik 1 Mi14Wed14:00 - 16:0013.03.2024 - 19.06.2024GM 8/9 - Hörsaal des Internationalen Wiener Motorensymposiums 309.021 Mechanics of solid bodies, exercises 1 Gruppe 06 - UE Mechanik 1 Mi14
Gruppe 07 - UE Mechanik 1 Mi16Wed16:00 - 18:0013.03.2024 - 19.06.2024Seminarraum BA 05 - MB 309.021 Mechanics of solid bodies, exercises 1 Gruppe 07 - UE Mechanik 1 Mi16
Gruppe 08 - UE Mechanik 1 Mi16Wed16:00 - 18:0013.03.2024 - 19.06.2024GM 8/9 - Hörsaal des Internationalen Wiener Motorensymposiums 309.021 Mechanics of solid bodies, exercises 1 Gruppe 08 - UE Mechanik 1 Mi16
Gruppe 09 - UE Mechanik 1 Do14Thu14:00 - 16:0014.03.2024 - 20.06.2024Seminarraum BA 02A 309.021 Mechanics of solid bodies, exercises 1 Gruppe 09 - UE Mechanik 1 Do14
Gruppe 10 - UE Mechanik 1 Do16Thu16:00 - 18:0014.03.2024 - 20.06.2024GM 8/9 - Hörsaal des Internationalen Wiener Motorensymposiums 309.021 UE Mechanics of solid bodies, exercises 1 - Gruppe 10 - UE Mechanik 1 Do16
Gruppe 11 - Sammelgruppe - MI14Wed14:00 - 16:0013.03.2024 - 19.06.2024GM 2 Radinger Hörsaal - TCH 309.021 Mechanics of solid bodies, exercises 1 Gruppe 11 - Sammelgruppe - MI14
X - ANMELDUNG NICHT MÖGLICH 1Tue14:00 - 16:0012.03.2024 - 18.06.2024Seminarraum BA 02A 309.021 Mechanics of solid bodies, exercises 1 X - ANMELDUNG NICHT MÖGLICH 1
X - ANMELDUNG NICHT MÖGLICH 2Wed14:00 - 16:0006.03.2024 - 26.06.2024Seminarraum BA 02A 309.021 Mechanics of solid bodies, exercises 1 X - ANMELDUNG NICHT MÖGLICH 2
X - ANMELDUNG NICHT MÖGLICH 3Thu16:00 - 18:0014.03.2024 - 27.06.2024Seminarraum BA 05 - MB 309.021 Mechanics of solid bodies, exercises 1 X - ANMELDUNG NICHT MÖGLICH 3
X - ANMELDUNG NICHT MÖGLICH 4Thu16:00 - 18:0007.03.2024 - 27.06.2024FH Hörsaal 2 309.021 Mechanics of solid bodies, exercises 1 X - ANMELDUNG NICHT MÖGLICH 4

## Course registration

Begin End Deregistration end
05.02.2024 09:00 17.04.2024 12:00 30.04.2024 12:00

### Precondition

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

## Group Registration

GroupRegistration FromTo
Gruppe 01 - UE Mechanik 1 MO1404.03.2024 14:0007.03.2024 12:00
Gruppe 02 - UE Mechanik 1 MO1604.03.2024 14:0007.03.2024 12:00
Gruppe 03 - UE Mechanik 1 Di1404.03.2024 14:0007.03.2024 12:00
Gruppe 04 - UE Mechanik 1 Di1604.03.2024 14:0007.03.2024 12:00
Gruppe 05 - UE Mechanik 1 Di1604.03.2024 14:0007.03.2024 12:00
Gruppe 06 - UE Mechanik 1 Mi1404.03.2024 14:0007.03.2024 12:00
Gruppe 07 - UE Mechanik 1 Mi1604.03.2024 14:0007.03.2024 12:00
Gruppe 08 - UE Mechanik 1 Mi1604.03.2024 14:0007.03.2024 12:00
Gruppe 09 - UE Mechanik 1 Do1404.03.2024 14:0007.03.2024 12:00
Gruppe 10 - UE Mechanik 1 Do1604.03.2024 14:0007.03.2024 12:00
Gruppe 11 - Sammelgruppe - MI1404.03.2024 14:0007.03.2024 12:00
X - ANMELDUNG NICHT MÖGLICH 104.03.2024 14:0007.03.2024 12:00
X - ANMELDUNG NICHT MÖGLICH 204.03.2024 14:0007.03.2024 12:00
X - ANMELDUNG NICHT MÖGLICH 304.03.2024 14:0007.03.2024 12:00
X - ANMELDUNG NICHT MÖGLICH 404.03.2024 14:0007.03.2024 12:00

## Curricula

Study CodeObligationSemesterPrecon.Info
033 245 Mechanical Engineering Mandatory2. Semester
Course belongs to the introductory and orientation phase ("Studieneingangs- und Orientierungsphase")
033 282 Mechanical Engineering - Management Mandatory2. Semester
Course belongs to the introductory and orientation phase ("Studieneingangs- und Orientierungsphase")

## Literature

### Lehrunterlagen:

Die Angaben der Übungsbeispiele stehen für Sie im TUWEL-Kurs als Download zur Verfügung.
Die Lösungen zu den Beispielen werden sukzessive im TUWEL-Kurs freigeschalten.

Eine gedruckte Version der Angaben kann zum Selbstkostenpreis von € 2,00 während der Sekretariatssprechstunden am Institut erworben werden (MO 15-16 Uhr, DO 10-11 Uhr).

### Zur LVA passende Lehr- und Übungsbücher:

Gamer, U.; Mack, W.:
Mechanik - Ein einführendes Lehrbuch für Studierende der technischen Wissenschaften.
Springer, 1999. ISBN: 3-211-82854-0.

Mack, W. , Lugner, P. , Plöchl, M.:Angewandte Mechanik – Aufgaben und Lösungen aus Statik und Festigkeitslehre, Springer Verlag Wien, 2006. ISBN: 3-211-25672-5

Mestemacher, F.:Grundkurs Technische Mechanik - Statik der Starrkörper, Elastostatik, Dynamik. Spektrum Akademischer Verlag, 2008. ISBN: 978-3-8274-1838-8

Parkus, H.:Mechanik der festen Körper. Springer, 2005. ISBN: 978-3-211-80777-4

Magnus, K.; Müller-Slany H.H.:
Grundlagen der Technischen Mechanik. Teubner Stuttgart, 2006. ISBN: 978-3-211-80777-4

Gross, D.; Hauger, W.; Schröder, J. ; Wall, W. A.:Technische Mechanik 1: Statik. Springer Berlin Heidelberg, 2019. ISBN: 978-3-662-59156-7

Gross, D.; Ehlers, W.; Wriggers, P.:
Formeln und Aufgaben zur Technischen Mechanik 1: Statik. Springer Berlin Heidelberg, 2016.ISBN: 978-3-662-52715-3

## Previous knowledge

Basics in trigonometry, calculus aund vector algebra.

German