## COMPARISON OF NUMERICAL AND EXPERIMENTAL RESULTS OF STRESS-DEFORMATION STATE IN A PIPELINE BRANCH

The subject of this paper is the analysis of stress distribution of the pipeline branch in hydropower. Pipe branches are widely used and very in complexity of the shape. Behaviour of the pipe branch subjected to the internal pressure was analyzed both numerically and experimentally. Analytical stress calculations are limited on the simpler forms of branches, so numerical calculations had to be used. Focus of numerical analysis was on determining critical locations and its values. Strain gauge method was used to measure greatest stress concentrations on the defined locations. Experimental results were very close to numerical calculations. Material used for manufacture of the pipeline branch is NIOVAL 47. This paper can be used as the base for the future researches concerning stress distribution in other branches among the pipeline both numerically and experimentally.

## APPLICATION OF THE THEORY OF MECHANISMS TO SOLVE PROBLEMS FROM GEOMETRY

Mathematical Modeling, Vol. 1 (2017), Issue 1, pg(s) 10-13

This paper deals with the process by which pure geometric problems, such as determining the position of the triangle or line whose points should lie on circles or straight lines, or that edges of the triangle tangle circles or similar. By moving from the field of geometry to the field of the theory of mechanisms, it is possible to relatively simply describe problem with the system of nonlinear equations to reduce on the problem of finding zeros of the polynomials of a certain degree. Problem of solving a system of nonlinear equations reduces to the problem of linear algebra, which, from the aspect of numerical analysis, is a significant advantage. The paper deals with the solution of a concrete problem.