THE APPLICATION OF THE MODERN DIMENSIONAL ANALYSIS ON STATIC CALCULI - THE DISPLACEMENT EVALUATION OF/IN A STRAIGHT BAR

In the authors' previous contributions the theoretical layouts of the Modern Dimensional Analysis (MDA) were described, based on the main references. How it was illustrated, the described MDA method can be applied in many engineering problems. In this contribution, the authors illustrate the main advantages of this method in a static case, namely in the displacement's evaluation of a straight bar, loaded by a concentrate force, perpendicular-disposed to its longitudinal axis. Several variants based on different suppositions of the Dimensional Set will be analysed, mainly how one can toggle the main variables from the whole potentially involved variables, which have some influence on the analysed phenomena. Finally, it will be proved, that one can find such Dimensional Sets, in which the corresponding sets of the independent variables can assure dimensional similarity between the prototype and model without geometric similarity. It can represent one of the main advantages of the MDA method.