| Summary: | In order to determine the deformation of the base, the shrinkage of the structures erected on them, as well as to study the strength of the bases, it is necessary to determine the stresses in the soil massif. The stresses in the soil massif from the action of the structure are superimposed on the existing stresses in it from the action of its own weight, taking into account the excavation during the development of the pit. Therefore, the paper considers the stress-strain state of the ground base with a trapezoidal cutout under its own weight. It is shown that the effect of the own weight of the ground base with a trapezoidal cutout can be replaced by the fictitious action of the ball tensor of forced deformations and external load. At the same time, the previously known methods of replacing the own weight of the soil base by the action of fictitious surface forces, existing in the presence of rigid restrictions, are special cases of the solutions obtained in this work. In modern conditions, in relation to the total amount of accumulated professional knowledge, the volume of active information resources is increasing, and construction practice is constantly enriched with new experimental and theoretically sound accurate knowledge.
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