Refined mechanical and mathematical model of an elastic half-plane
DOI:
https://doi.org/10.54355/tbus/2.1.2022.0014Keywords:
elastic foundation, half-plane, displacements, stresses, deformation, distribution functionAbstract
Loads cause vertical movements of the foundations of all the structures. Their magnitude determines the building safe operation. A closed analytical solution to the problem of the linear elastic theory for the distribution of stresses and strains in a homogeneous isotropic elastic foundation has been presented. The article considers the calculation of the stress-strain state of an elastic half-plane by the method in displacement functions. The theory of calculating an elastic half-plane has been built. New formulas have been are found that determine displacements and stresses at any points of an elastic foundation. An example of calculating an elastic half-plane under the action of a normal and tangential loads has been given.
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Copyright (c) 2022 Sungat Akhazhanov, Daniyar Baltabai, Bayan Nurlanova
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