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The paper presents the mathematical model and the procedure for calculation of the resultant force acting on the air cooled gas turbine blade(s) based on the aerodynamic theory and computation of the circulation around the blade profile. In the conducted analysis was examined the influence of the cooling air mass flow expressed through the cooling air flow parameter λc, as well as, the values of the inlet and outlet angles β1 and β2, on the magnitude of the tangential and axial forces. The procedure and analysis were exemplified by the calculation of the tangential and axial forces magnitudes. [ABSTRACT FROM AUTHOR]