Purpose. Bases of conducting of the express-analysis of the stress-strain state of the unfastened excavation of certain diameter on the basis of finite elements analysis of model with single parameters (closeness of soil and his module of resiliency) are developed in the article. Methodology. To achieve this goal, the authors, from the standpoint of the theory of elasticity and the fundamentals of the finite element method, carried out a justification for the development of the stress-strain

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... te around the excavation of a circular outline. A finite element model for the excavation of a circular shape has been developed. The numerical analysis of the developed model is carried out. Findings. The parameters of the stress-strain state of a finite-element model for excavation of a circular outline with single parameters, as well as with specific values of the density of the soil and its elastic modulus, are obtained. A comparative analysis was carried out, which allowed to determine the dependencies between the two models. Originality. The regularities of the stressed and deformed states of a finite-element model with single parameters are established, formulas relating its SSS parameters to a model with specific parameters are proposed. (soil density, its modulus of elasticity). Practical value. The formulas for the transition from the SSS of a finite-element model with single parameters for specific cases of soil density and its modulus of elasticity are proposed for express analysis of the stress-strain state of the unfastened excavation.