| Summary: | The method for calculating the tensile and compressive strength of certain fiber systems with different structures in terms of layer thickness was presented. The laws of influence of various parameters, which become invisible in stretching, have been established on the description of two-layer yarn interaction. It was found that the tension (pressure) compressing the fiber in the center of the thread has a maximum value, it increases significantly with the increase of the angle of attack, which leads to an uneven distribution along the radius of the thread. In a two-layer yarn formed from two fiber systems with different mechanical characteristics, the degree of compression of the fibers depends significantly on the ratio. It was expected that the fiber maturity index decreased in the outer layer, and the pressure between the fibers increased as the thickness of the inner layer increased. All the fibers in the two-layer yarn are in a sliding state, and as this indicator increases, starting from the center of the yarn, the fibers begin to be in tight contact with each other, the length of which depends on the radius of the inner layer, the bending angle, and the ratio of the Young's modulus of the fibers of the two-layer yarn. It was observed that the fibers in the thread layer are in tight contact with each other at the value of the angle of sag
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