We consider the problem of longitudinal deformation of an elastic semi-infinite strip under the action of various kinds of self-balanced harmonic loads. Using numerical analysis we show that in a region of relatively low frequencies, when only one propagating wave ezists in the wave conductor, one can formulate an analog of Saint-Venant's principle. When this is done, the given frequency range decomposes into two subranges. In the first of these the main role in the Fourier series ezpansion of the load is played by the non-self-balanced component, while in the second it is necessary to take account of the first harmonic as well. One figure. Bibliography: 5 titles.The problem of enlarging the area of applicability of the static Saint-Venunt principle [1] to dynamic problems of the theory of elasticity has been studied for quite some time [2; 3], However, in the majority of existing publications only nonstationary processes were studied, and it was in relation to this case that the dynamic Saint-Venant principle for a semi-infinite elastic strip was stated. The study of the stationary harmonic problem for a semi-infinite strip is of equal interest, especially when one considers that in this case there will a priori be homogeneous waves propagating at any frequency, transporting energy to infinity. For that reason the statement of a dynamic Saint-Venant principle for an elastic semi-infinite strip has intrinsic scientific interest.: The purpose of the present article is to perform a quantitative analysis of the behavior of an elastic semi-infinite strip under the action of various kinds of self-balanced harmonic loads.Consider the two-dimensi0nal problem of the forced vibrations of a semi-infinite strip 0 < z < c~,

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