CALCULATING A BEAM OF VARIABLE SECTION LYING ON AN ELASTIC FOUNDATION

Serik Akhmediev; Valentin Mikhailov; Gulzada Tazhenova; Madi Bakirov; Tatyana Filippova; Daniyar Tokanov

doi:10.5937/jaes0-38800

Serik Akhmediev Mechanics Department, Abylkas Saginov Karaganda Technical University, Karaganda, Kazakhstan https://orcid.org/0000-0003-4393-3559
Valentin Mikhailov Mechanics Department, Abylkas Saginov Karaganda Technical University, Karaganda, Kazakhstan
Gulzada Tazhenova Mechanics Department, Abylkas Saginov Karaganda Technical University, Karaganda, Kazakhstan https://orcid.org/0000-0001-5512-2724
Madi Bakirov Mechanics Department, Abylkas Saginov Karaganda Technical University, Karaganda, Kazakhstan https://orcid.org/0000-0002-2308-0678
Tatyana Filippova Mechanics Department, Abylkas Saginov Karaganda Technical University, Karaganda, Kazakhstan https://orcid.org/0000-0002-6118-4451
Daniyar Tokanov Kazakhstan Multidisciplinary Institute of Reconstruction and Development Republican State Enterprise on the Right of Economic Use, Karaganda, Kazakhstan https://orcid.org/0000-0001-5811-3639

DOI: https://doi.org/10.5937/jaes0-38800

Keywords: elastic foundation, bending state, reinforced concrete beams

Abstract

In this article, there has been studied the bending state of a reinforced concrete beam with a variable cross-sectional height along its length that rests along its entire length on a brick wall. The beam is under the action of arbitrarily located concentrated forces. The study has been performed on the basis of the original inhomogeneous differential equation of the 4th order, taking into account the external load and the bedding coefficients of the elastic foundation. Using the finite difference method, typical resolving finite difference equations have been obtained. A study of the influence of the degree of elasticity of the base, with a change in the value of the bed coefficients and elasticity parameters, was conducted. The results confirm the reliability of theoretical and practical calculations. Given theoretical provisions and applied results can be used in scientific research in the field of mechanics of a deformable solid body, as well as in practical design.

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