Influence of Inhomogeneity of the Foundation on the Stress-strain State of the Design Located on it

The problem of the stress-strain state of the beam located on an inhomogeneous Winkler foundation is considered. It is accepted that the value of the coefficient of elasticity of the foundation has a symmetrical character relative to the middle of the beam and within the beam is represented by a qua...

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Main Authors: Leontyev Andrey, Balandina Ksenia
Format: Article
Language:English
Published: EDP Sciences 2018-01-01
Series:MATEC Web of Conferences
Online Access:https://doi.org/10.1051/matecconf/201819601009
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author Leontyev Andrey
Balandina Ksenia
author_facet Leontyev Andrey
Balandina Ksenia
author_sort Leontyev Andrey
collection DOAJ
description The problem of the stress-strain state of the beam located on an inhomogeneous Winkler foundation is considered. It is accepted that the value of the coefficient of elasticity of the foundation has a symmetrical character relative to the middle of the beam and within the beam is represented by a quadratic law. The single-span beams with hinged supports along the edges are considered. For the calculation of beams on various types of symmetrically applied loads was used the program complex "Lira" and also Ritz-Timoshenko variational method. In the second case, the calculation was performed in Excel. Examples of calculation of short and long beams are considered. The effect of the degree of heterogeneity of the base on the deflections and bending moments of the beam under the action of concentrated and distributed loads is shown.
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spelling doaj.art-5e76bc3fbf3d490fa181558dbeab26642022-12-21T20:01:01ZengEDP SciencesMATEC Web of Conferences2261-236X2018-01-011960100910.1051/matecconf/201819601009matecconf_rsp2018_01009Influence of Inhomogeneity of the Foundation on the Stress-strain State of the Design Located on itLeontyev AndreyBalandina KseniaThe problem of the stress-strain state of the beam located on an inhomogeneous Winkler foundation is considered. It is accepted that the value of the coefficient of elasticity of the foundation has a symmetrical character relative to the middle of the beam and within the beam is represented by a quadratic law. The single-span beams with hinged supports along the edges are considered. For the calculation of beams on various types of symmetrically applied loads was used the program complex "Lira" and also Ritz-Timoshenko variational method. In the second case, the calculation was performed in Excel. Examples of calculation of short and long beams are considered. The effect of the degree of heterogeneity of the base on the deflections and bending moments of the beam under the action of concentrated and distributed loads is shown.https://doi.org/10.1051/matecconf/201819601009
spellingShingle Leontyev Andrey
Balandina Ksenia
Influence of Inhomogeneity of the Foundation on the Stress-strain State of the Design Located on it
MATEC Web of Conferences
title Influence of Inhomogeneity of the Foundation on the Stress-strain State of the Design Located on it
title_full Influence of Inhomogeneity of the Foundation on the Stress-strain State of the Design Located on it
title_fullStr Influence of Inhomogeneity of the Foundation on the Stress-strain State of the Design Located on it
title_full_unstemmed Influence of Inhomogeneity of the Foundation on the Stress-strain State of the Design Located on it
title_short Influence of Inhomogeneity of the Foundation on the Stress-strain State of the Design Located on it
title_sort influence of inhomogeneity of the foundation on the stress strain state of the design located on it
url https://doi.org/10.1051/matecconf/201819601009
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