309.019 Mechanics of solid bodies 1
This course is in all assigned curricula part of the STEOP.
This course is in at least 1 assigned curriculum part of the STEOP.

2021S, VO, 3.0h, 5.0EC
TUWEL

Properties

  • Semester hours: 3.0
  • Credits: 5.0
  • Type: VO Lecture
  • Format: Distance Learning

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

Additional information

The course starts at Monday, 1.3.2021. At Summer-Semester 2021 the course will be given in the 'distance learning' -mode; for details see the German version.

Lecturers

Institute

Course dates

DayTimeDateLocationDescription
Mon11:15 - 12:1501.03.2021 https://tuwien.zoom.us/j/98933573733?pwd=WmJpSHNKbHkxU2hqNDd0bzRGd3hkQT09 (LIVE)Vorbesprechung (via ZOOM-Meeting)

Examination modalities

Exams in written and oral form; for the special regulations in Summer Semester 2021 see the German version

Exams

DayTimeDateRoomMode of examinationApplication timeApplication modeExam
Fri13:00 - 15:0022.10.2021FH Hörsaal 1 - MWB written05.10.2021 08:00 - 19.10.2021 09:00TISSSchriftliche Prüfung 2021-10-22 (Präsenz)
Tue - 07.12.2021written22.11.2021 08:00 - 06.12.2021 09:00TISSSchriftliche Prüfung 2021-12-07 (Online)
Fri - 04.02.2022written21.01.2022 08:00 - 03.02.2022 09:00TISSSchriftliche Prüfung 2022-02-04 (Präsenz)

Course registration

Not necessary

Precondition

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

Curricula

Literature

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

Previous knowledge

Good highschool knowledge in mathematics and physics.

Accompanying courses

Language

German