Abstract
The paper considers obtaining results of calculating the normal stress, vertical displacement, deflection and reactive pressure for a solid stamp on an elastic foundation. The values of these calculations are used in solving problems of elasticity theory, but in practice it is difficult to obtain the results of these problems. According to the Sadovsky method, the value of the reactive pressure on an elastic half-plane foundation under a solid stamp tends to infinity. Calculations performed for a solid stamp on an elastic base are poorly studied, but are widely used in modern construction, and improvement of its calculation methods is mandatory. Therefore, the development o f new, simple analytical and numerical improved methods for solving these problems is relevant. The paper defines the values of the deflection function for soil foundation with different modulus of elasticity. As a result, the bearing property of the foundation decreases, the elastic soil foundation tends to perceive heavy loads, affects its shrinkage and displacement. In addition, a change in the values of normal stress and vertical displacement was detected due to the transformation of the l/h ratio lying outside the stamp. The maximum values of normal stress and vertical displacement in the specified intervals and the reactive pressure of the stamp under the action of a uniformly distributed load are calculated. The results of these calculations play an important role in the field of construction mechanics, that is, simplify the process of analysis and design of structures. The development of this improved equation opens up new opportunities for further research and implementation into engineering practice, and is also used to calculate a beam on an elastic foundation.