# 309.019 Mechanics of solid bodies 1 This course is in all assigned curricula part of the STEOP.\$(function(){PrimeFaces.cw("Tooltip","widget_j_id_20",{id:"j_id_20",showEffect:"fade",hideEffect:"fade",target:"isAllSteop"});});This course is in at least 1 assigned curriculum part of the STEOP.\$(function(){PrimeFaces.cw("Tooltip","widget_j_id_22",{id:"j_id_22",showEffect:"fade",hideEffect:"fade",target:"isAnySteop"});}); 2023S 2022S 2021S 2020S 2019S 2018S 2016W 2015W 2014W 2013W 2012W 2011W 2010W 2009W 2008W 2007W 2006W 2005W 2004W 2003W 2002W 2001W

2022S, VO, 3.0h, 5.0EC

## Properties

• Semester hours: 3.0
• Credits: 5.0
• Type: VO Lecture
• 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

## Mode of examination

Written and oral

The course starts at Wednesday, 2.3.2022. At Summer-Semester 2022 the course will be given in the 'hybrid' -mode; for details see the German version.

## Course dates

DayTimeDateLocationDescription
Wed12:00 - 13:0002.03.2022 FH HS1, parallel dazu Live Stream (über TUWEL-Kurs abgewickelt)Einführungsveranstaltung
Wed12:00 - 14:0002.03.2022 - 29.06.2022FH Hörsaal 1 - MWB Vorlesung
Mon11:00 - 13:0007.03.2022 - 27.06.2022FH Hörsaal 1 - MWB Vorlesung
Mon13:00 - 15:0016.05.2022FH Hörsaal 1 - MWB Zusatzeinheit Fachwerke
Mechanics of solid bodies 1 - Single appointments
DayDateTimeLocationDescription
Wed02.03.202212:00 - 13:00 FH HS1, parallel dazu Live Stream (über TUWEL-Kurs abgewickelt)Einführungsveranstaltung
Wed02.03.202212:00 - 14:00FH Hörsaal 1 - MWB Vorlesung
Mon07.03.202211:00 - 13:00FH Hörsaal 1 - MWB Vorlesung
Wed09.03.202212:00 - 14:00FH Hörsaal 1 - MWB Vorlesung
Mon14.03.202211:00 - 13:00FH Hörsaal 1 - MWB Vorlesung
Wed16.03.202212:00 - 14:00FH Hörsaal 1 - MWB Vorlesung
Mon21.03.202211:00 - 13:00FH Hörsaal 1 - MWB Vorlesung
Wed23.03.202212:00 - 14:00FH Hörsaal 1 - MWB Vorlesung
Mon28.03.202211:00 - 13:00FH Hörsaal 1 - MWB Vorlesung
Wed30.03.202212:00 - 14:00FH Hörsaal 1 - MWB Vorlesung
Mon04.04.202211:00 - 13:00FH Hörsaal 1 - MWB Vorlesung
Wed06.04.202212:00 - 14:00FH Hörsaal 1 - MWB Vorlesung
Mon25.04.202211:00 - 13:00FH Hörsaal 1 - MWB Vorlesung
Wed27.04.202212:00 - 14:00FH Hörsaal 1 - MWB Vorlesung
Mon02.05.202211:00 - 13:00FH Hörsaal 1 - MWB Vorlesung
Wed04.05.202212:00 - 14:00FH Hörsaal 1 - MWB Vorlesung
Mon09.05.202211:00 - 13:00FH Hörsaal 1 - MWB Vorlesung
Wed11.05.202212:00 - 14:00FH Hörsaal 1 - MWB Vorlesung
Mon16.05.202211:00 - 13:00FH Hörsaal 1 - MWB Vorlesung
Mon16.05.202213:00 - 15:00FH Hörsaal 1 - MWB Zusatzeinheit Fachwerke

## Examination modalities

Exams in written and oral form; for the special regulations in Summer Semester 2022 see the German version

## Exams

DayTimeDateRoomMode of examinationApplication timeApplication modeExam
Fri14:00 - 16:0002.12.2022GM 1 Audi. Max.- ARCH-INF written15.11.2022 08:00 - 29.11.2022 12:00TISSSCHRIFTLICHER Prüfungsteil Dezember 2022 (Paralleltermin)
Fri11:00 - 13:0010.02.2023GM 5 Praktikum HS- TCH written24.01.2023 08:00 - 07.02.2023 09:00TISSSCHRIFTLICHER Prüfungsteil Februar 2023 (Paralleltermin)
Fri14:00 - 16:0017.03.2023GM 5 Praktikum HS- TCH written&oral02.03.2023 08:00 - 16.03.2023 08:00TISSSCHRIFTLICHER Prüfungsteil März 2023 (Paralleltermin)
Fri12:00 - 14:0005.05.2023GM 5 Praktikum HS- TCH written&oral17.04.2023 08:00 - 01.05.2023 10:00TISSSCHRIFTLICHER Prüfungsteil Mai 2023 (Paralleltermin)
Fri12:00 - 14:0005.05.2023HS 18 Czuber - MB written&oral17.04.2023 08:00 - 01.05.2023 10:00TISSSCHRIFTLICHER Prüfungsteil Mai 2023 (Paralleltermin)
Fri12:00 - 14:0005.05.2023GM 1 Audi. Max.- ARCH-INF written&oral17.04.2023 08:00 - 01.05.2023 10:00TISSSCHRIFTLICHER Prüfungsteil Mai 2023 (Paralleltermin)
Fri12:00 - 14:0005.05.2023GM 2 Radinger Hörsaal - TCH written&oral17.04.2023 08:00 - 01.05.2023 10:00TISSSCHRIFTLICHER Prüfungsteil Mai 2023 (Paralleltermin)
Fri12:00 - 14:0005.05.2023EI 7 Hörsaal - ETIT written&oral17.04.2023 08:00 - 01.05.2023 10:00TISSSCHRIFTLICHER Prüfungsteil Mai 2023 (Paralleltermin)
Fri14:00 - 16:0030.06.2023GM 1 Audi. Max.- ARCH-INF written&oral14.06.2023 08:00 - 28.06.2023 10:00TISSSCHRIFTLICHER Prüfungsteil Juni 2023 (Paralleltermin)
Fri14:00 - 16:0030.06.2023GM 5 Praktikum HS- TCH written&oral14.06.2023 08:00 - 28.06.2023 10:00TISSSCHRIFTLICHER Prüfungsteil Juni 2023 (Paralleltermin)
Fri14:00 - 16:0030.06.2023FH Hörsaal 1 - MWB written&oral14.06.2023 08:00 - 28.06.2023 10:00TISSSCHRIFTLICHER Prüfungsteil Juni 2023 (Paralleltermin)

## Course registration

Not necessary

### Precondition

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

## Literature

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

## Previous knowledge

Good highschool knowledge in mathematics and physics.

German