Geodetic observations of displacements of the ground and engineering structures require wellstabilized reference points, used for measuring control points on the structure itself or in its surroundings. These points are most commonly stabilized with reinforced concrete columns, which are sometimes built improperly. If there are temperature differences within a column, this can have an impact on the position of the fixed screw for forced centering which is not negligible for precision measurements. By using the propagation of variances and covariances and Monte Carlo simulation, the thesis provides an analysis of the impact of error of the station position, orientation point and control point on the surveying results. We also carried out an experiment where we heated a column from one side and then observed the actual extent of screw displacement. While heating the column we also observed temperature transmission through the column and temperature difference this causes in the column. We have found that there was 1 mm screw displacement at temperature difference of 16,6 °C within the column which is not negligible for precision measurements.