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

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.

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.

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.

Attendance in 8 of 11 lectures an two tests.

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

Basics in trigonometry, calculus aund vector algebra.