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...
Main Authors: | , |
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Format: | Article |
Language: | English |
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EDP Sciences
2018-01-01
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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. |
first_indexed | 2024-12-19T23:55:25Z |
format | Article |
id | doaj.art-5e76bc3fbf3d490fa181558dbeab2664 |
institution | Directory Open Access Journal |
issn | 2261-236X |
language | English |
last_indexed | 2024-12-19T23:55:25Z |
publishDate | 2018-01-01 |
publisher | EDP Sciences |
record_format | Article |
series | MATEC Web of Conferences |
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 |
work_keys_str_mv | AT leontyevandrey influenceofinhomogeneityofthefoundationonthestressstrainstateofthedesignlocatedonit AT balandinaksenia influenceofinhomogeneityofthefoundationonthestressstrainstateofthedesignlocatedonit |