After successful completion of the course, students are able to perform the following tasks for the solution of basic problems of statics and strength of materials and to combine them for the complete solution of the problems:
- 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;
- To apply the conditions of equilibrium both graphically and arithmetically to find the constraining forces in a statically determined system;
- To determine the stress resultants in beam-like structures as functions of a characteristic coordinate and to represent them graphically;
- To 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;
- To determine the center of gravity of bodies and plane areas by Guldin's rule and appropriate combination of sub-bodies/areas with already determined centers of gravity;
- To determine the moments of inertia and products of inertia both for bodies and plane areas by application of Steiner's law;
- To find the stresses and displacements in straight Euler-Bernoulli bars caused by tension/compression, bending, and torsion (of bars with circular cross section) both for statically determined and undetermined systems; to this aim, to apply the principle of superposition, too.
Problems illustrating the following topics of mechanics:
1. Statics:
Systems of forces, equilibrium problems: graphical and analytical solutions;
Forces and moments in beam-like structures: determination of the stress-resultants;
Adhesion and sliding motion with friction;
Geometrical properties of bodies and plane areas (center of gravity, moments and products of inertia).
2. Basic problems of Strength of materials:
Straight bars under tension/compression and bending: stress and displacement for both statically determined and undetermined supported bars;
Torsion of bars with circular cross-section;.
Statically determined and undetermined systems of bars under combined loads
A subscription for this course in TISS is obligatory!
The course in the classroom starts at Tuesday, March 15th, 2022.
The student has to be enrolled for at least one of the studies listed below
