Targeting displacements’ monitoring of constructions through mathematical methods

In the context of the urban congestion, soils withstand a major impact of mechanical transformations and consistency changes due to the pollution and chemicals present in the industrial emissions and household wastes. These changes lead to consequences that influence the stability and security of constructions, such as reduction of permeability, drainage and aeration. The development of geodetic measuring techniques based on mathematical methods has permitted and created the possibility of determining and emphasizing even the most subtle of movements regarding buildings and industrial structures. This paper aims to emphasize the importance of mathematical methods, namely high precision geometric levelling, for the study of a relatively new construction built in 2009, linked to existing old buildings. In exploitation, transverse cracks could be observed in the structure of the old buildings. Following these phenomena, special monitoring was imposed upon the ensemble of buildings that serve the Faculty of Medical Bioengineering of Iasi, because Romanian norms at force impose an accurate and precise monitoring in time for a construction to be safely exploited. Topographic-geodetic measurements were made so that the resistance of the structure’s pillars of the four buildings could be studied and observed.