The stress-deformed state of a high-rising many-storied building is modeled on the base of the state of a structured rod for which stresses have been calculated by the method proposed by N.S.Bakhvalov for averaging differential equations with fast oscillating coefficients. It has been shown that compressive stresses in a structured rod essentially exceed maximum stresses in cross-sections of the equivalent homogenous rod. In this case, the number of such cross-sections of the structured rod is proportional to the number of stores in the high-rise building.