Results of calculation of a finite beam on a two-parameter elastic basis, taken into account of parameters close to their real work
Abstract
This article presents a numerical implementation of the problem of bending a finite beam on a two-parameter elastic foundation, taking into account the incomplete contact of the beam with the soil foundation. As an incomplete contact of the beam with the base, the article takes a trench with a width of 2 a, located in the central part of the beam. Taking into account incomplete contact is carried out by introducing the corresponding parameter into the initial differential equation of bending. In this case, a new class of differential equation is formed, which is of certain mathematical interest. Depending on the effective load and the area of incomplete contact of the beam with the base, various design schemes of beams are selected. When the load and incomplete contact are located close to the edges of the strip foundation, the design scheme of the final beam is adopted, which is adopted in this article. The article adopts a two-parameter soil foundation model, which takes into account the distribution capacity of solid soils. The main objective of the study is to analyze the influence of incomplete contact of the finite beam with an elastic foundation on its stress-strain state
Keywords
References
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