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2024S, VO, 3.0h, 5.0EC

## Properties

• Semester hours: 3.0
• Credits: 5.0
• Type: VO Lecture
• LectureTube course
• Format: Hybrid

## Learning outcomes

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

• 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

1. Basics of statics:

• Systems of forces, equilibrium problems: graphical and analytical solutions;
• Forces and moments in beam-like structures: determination of the stress-resultants;
• Plane trusses;
• Adhesion and sliding motion with friction;
• Geometrical properties of bodies and plane areas (center of gravity, moments and products of inertia).

2. Introduction to Strength of materials:

• Basics of linear elasticity theory;
• Straight bars and systems thereof under tension/compression and bending: stress and strain for both statically determined and undetermined systems;
• Mohr's method;
• Effects of shear forces in straight bars;
• Torsion of bars with circular cross-section;
• Statics of ropes and chains.

## Teaching methods

Oral Presentation of the theory, based on the script;

Presentation of illustrating examples;

Presentation of several mechanical models

Written and oral

t.b.a

## Course dates

DayTimeDateLocationDescription
Mon10:00 - 12:0004.03.2024 - 17.06.2024FH Hörsaal 1 - MWB Vorlesung
Wed10:00 - 12:0006.03.2024 - 12.06.2024FH Hörsaal 1 - MWB Vorlesung
Fri08:00 - 10:0008.03.2024FH Hörsaal 1 - MWB 03 Ebene Kraftsysteme - Gleichgewicht graphisch
Mechanics of solid bodies 1 - Single appointments
DayDateTimeLocationDescription
Mon04.03.202410:00 - 12:00FH Hörsaal 1 - MWB 01 Einführung - Kraftbegriff
Wed06.03.202410:00 - 12:00FH Hörsaal 1 - MWB 02 Momentenbegriff - Einteilung von Kräften
Fri08.03.202408:00 - 10:00FH Hörsaal 1 - MWB 03 Ebene Kraftsysteme - Gleichgewicht graphisch
Mon11.03.202410:00 - 12:00FH Hörsaal 1 - MWB 04 Ebene Kraftsysteme - Gleichgewicht rechnerisch
Wed13.03.202410:00 - 12:00FH Hörsaal 1 - MWB 05 Räumliche Kraftsysteme - räumliches Gleichgewicht
Mon18.03.202410:00 - 12:00FH Hörsaal 1 - MWB 06 Wiederholung Gleichgewicht - Beispiele
Wed20.03.202410:00 - 12:00FH Hörsaal 1 - MWB 07 Federn
Mon08.04.202410:00 - 12:00FH Hörsaal 1 - MWB 08 Das Superpositionsprinzip
Wed10.04.202410:00 - 12:00FH Hörsaal 1 - MWB 09 Schnittgrößen - Einführung
Mon15.04.202410:00 - 12:00FH Hörsaal 1 - MWB 10 Schnittgrößen - verteilte Lasten
Wed17.04.202410:00 - 12:00FH Hörsaal 1 - MWB 11 Haften und Gleiten
Mon22.04.202410:00 - 12:00FH Hörsaal 1 - MWB 12 Selbsthemmung - Schrauben
Wed24.04.202410:00 - 12:00FH Hörsaal 1 - MWB 13 Fachwerke
Mon29.04.202410:00 - 12:00FH Hörsaal 1 - MWB 14 Schwerpunkt - Massenmittelpunkt
Mon06.05.202410:00 - 12:00FH Hörsaal 1 - MWB 15 Trägheitsmomente - Steinerscher Satz
Wed08.05.202410:00 - 12:00FH Hörsaal 1 - MWB 16 Flächenträgheitsmomente
Mon13.05.202410:00 - 12:00FH Hörsaal 1 - MWB 17 Spannungen, Verzerrungen - Hookesches Gesetz
Wed15.05.202410:00 - 12:00FH Hörsaal 1 - MWB 18 Einführung in die lineare E-Theorie - Zug- und Biegespannungen
Wed22.05.202410:00 - 12:00FH Hörsaal 1 - MWB 19 Verformung gerader schlankre Balken
Mon27.05.202410:00 - 12:00FH Hörsaal 1 - MWB 20 Behandlung statisch unbestimmter Probleme

## Examination modalities

Exams in written and oral form

## Exams

DayTimeDateRoomMode of examinationApplication timeApplication modeExam
Fri14:00 - 16:0018.10.2024HS 17 Friedrich Hartmann - ARCH written01.10.2024 12:00 - 15.10.2024 12:00TISSSCHRIFTLICHER Prüfungsteil Oktober 2024 (Paralleltermin)
Fri14:00 - 16:0018.10.2024HS 18 Czuber - MB written01.10.2024 12:00 - 15.10.2024 12:00TISSSCHRIFTLICHER Prüfungsteil Oktober 2024 (Paralleltermin)
Fri14:00 - 16:0018.10.2024EI 7 Hörsaal - ETIT written01.10.2024 12:00 - 15.10.2024 12:00TISSSCHRIFTLICHER Prüfungsteil Oktober 2024 (Paralleltermin)
Fri14:00 - 16:0006.12.2024GM 1 Audi. Max.- ARCH-INF written19.11.2024 12:00 - 03.12.2024 12:00TISSSCHRIFTLICHER Prüfungsteil Dezember 2024 (Paralleltermin)
Fri14:00 - 16:0006.12.2024GM 5 Praktikum HS- TCH written19.11.2024 12:00 - 03.12.2024 12:00TISSSCHRIFTLICHER Prüfungsteil Dezember 2024 (Paralleltermin)
Fri14:00 - 16:0006.12.2024FH Hörsaal 1 - MWB written19.11.2024 12:00 - 03.12.2024 12:00TISSSCHRIFTLICHER Prüfungsteil Dezember 2024 (Paralleltermin)
Fri10:00 - 12:0007.02.2025GM 5 Praktikum HS- TCH written21.01.2025 12:00 - 04.02.2025 12:00TISSSCHRIFTLICHER Prüfungsteil Februar 2025 (Paralleltermin)
Fri10:00 - 12:0007.02.2025FH Hörsaal 1 - MWB written21.01.2025 12:00 - 04.02.2025 12:00TISSSCHRIFTLICHER Prüfungsteil Februar 2025 (Paralleltermin)
Fri10:00 - 12:0007.02.2025GM 1 Audi. Max.- ARCH-INF written21.01.2025 12:00 - 04.02.2025 12:00TISSSCHRIFTLICHER Prüfungsteil Februar 2025 (Paralleltermin)
Fri10:00 - 12:0007.02.2025GM 2 Radinger Hörsaal - TCH written21.01.2025 12:00 - 04.02.2025 12:00TISSSCHRIFTLICHER Prüfungsteil Februar 2025 (Paralleltermin)
Fri14:00 - 16:0021.03.2025GM 1 Audi. Max.- ARCH-INF written04.03.2025 12:00 - 18.03.2025 12:00TISSSCHRIFTLICHER Prüfungsteil März 2025 (Paralleltermin)
Fri14:00 - 16:0021.03.2025FH Hörsaal 1 - MWB written04.03.2025 12:00 - 18.03.2025 12:00TISSSCHRIFTLICHER Prüfungsteil März 2025 (Paralleltermin)
Fri14:00 - 16:0021.03.2025GM 5 Praktikum HS- TCH written04.03.2025 12:00 - 18.03.2025 12:00TISSSCHRIFTLICHER Prüfungsteil März 2025 (Paralleltermin)
Fri14:00 - 16:0016.05.2025GM 1 Audi. Max.- ARCH-INF written29.04.2025 12:00 - 13.05.2025 12:00TISSSCHRIFTLICHER Prüfungsteil Mai 2025 (Paralleltermin)
Fri14:00 - 16:0016.05.2025FH Hörsaal 1 - MWB written29.04.2025 12:00 - 13.05.2025 12:00TISSSCHRIFTLICHER Prüfungsteil Mai 2025 (Paralleltermin)
Fri14:00 - 16:0016.05.2025GM 5 Praktikum HS- TCH written29.04.2025 12:00 - 13.05.2025 12:00TISSSCHRIFTLICHER Prüfungsteil Mai 2025 (Paralleltermin)
Fri10:00 - 12:0004.07.2025GM 5 Praktikum HS- TCH written17.06.2025 12:00 - 01.07.2025 12:00TISSSCHRIFTLICHER Prüfungsteil Juli 2025 (Paralleltermin)
Fri10:00 - 12:0004.07.2025GM 2 Radinger Hörsaal - TCH written17.06.2025 12:00 - 01.07.2025 12:00TISSSCHRIFTLICHER Prüfungsteil Juli 2025 (Paralleltermin)
Fri10:00 - 12:0004.07.2025GM 1 Audi. Max.- ARCH-INF written17.06.2025 12:00 - 01.07.2025 12:00TISSSCHRIFTLICHER Prüfungsteil Juli 2025 (Paralleltermin)

## Course registration

Not necessary

### Precondition

The student must have at least 1 of the course(s) completed listed below:

## Curricula

Study CodeObligationSemesterPrecon.Info
033 245 Mechanical Engineering Mandatory2. Semester
033 282 Mechanical Engineering - Management Mandatory2. Semester

## Literature

Lecture notes for this course are available: https://www.grafischeszentrum.com/

## Previous knowledge

Good highschool knowledge in mathematics and physics.

German