The paper studies the interaction between the building construction and composite-based soil with a view to determine its elastic properties affecting the structure deformation and internal forces. The soil model is assumed to be elastic, according to the Winkler coefficient calculated from the Kolosov stress decay function. The Galerkin numerical method used in calculations utilizes basic functions corresponding to the type of fixing the discontinuous and continuous structures. Unknown coefficients in linear combinations of basic functions are obtained via linear algebra methods, solving the system of equations. The force functions of the structure are found by derivation of the deflection function. Geological parameters are accepted to be real and matching the construction conditions of a large industrial warehouse of agricultural designation in the Pskov region, Russia. The soil effect on the flexural strength, shearing forces, and bearing reaction is estimated under the discontinuous and continuous structures at the available geological soil parameters. The structure setting on composite-based soils under the operating load is predicted herein.