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The paper deals with the possibility of constructing mathematical models of the dependence of mechanical properties of silicon- manganese steels designed for ESW, which have high brittle fracture resistance in the HAZ, as well as of the overheated zone, on chemical composition. Data on mechanical properties of these steels were obtained as a result of studying the influence of additional alloying (microalloying) of silicon-manganese steel by manganese, chromium, vanadium, boron, cerium and zirconium on overheating resistance at electroslag welding. The method of multiple linear regression was used for construction of mathematical models. Mathematical models were constructed for the following set of base metal mechanical properties: impact toughness for temperatures of (+20, –40, –60, –70 °С), yield limit, ultimate strength, relative elongation and reduction in area. For overheated zone at electroslag welding mathematical models were constructed for impact toughness (KCU and KCV) for temperatures of +20, –60, –70 °С. Initial validation of the constructed models was performed. 9 Ref., 12 Tabl., 2 Fig. [ABSTRACT FROM AUTHOR]