| Issue |
E3S Web Conf.
Volume 535, 2024
XIII International Scientific and Practical Forum “Environmental Aspects of Sustainability of Construction and Management of Urban Real Estate” (ESCM-2024)
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|
|---|---|---|
| Article Number | 01008 | |
| Number of page(s) | 11 | |
| Section | Innovative and Technical Solutions to Ensure Environmental Sustainability in Construction | |
| DOI | https://doi.org/10.1051/e3sconf/202453501008 | |
| Published online | 11 June 2024 | |
Stress-strain state of a plate located on an inhomogeneous base
Moscow State University of Civil Engineering, 26, Yaroslavskoye shosse, Moscow, 129337, Russia
1 Corresponding author: LeontievAN@mgsu.ru
At present, the problems of calculating structures on an elastic foundation are very relevant. In this regard, the influence of the inhomogeneity of the base on the stress-strain state of thin plates is investigated. Plates located on the Winkler elastic foundation and having hinged supports along the contour are considered. It is assumed that the value of the foundation bed coefficient has a symmetrical character of change relative to the middle of the plate, and within its limits is described by a quadratic law. The Ritz-Timoshenko variational method was used to study the stress-strain state of the plate. The calculation was performed in the Excel environment, while trigonometric functions were taken as approximating ones. Plates with different relative lengths are presented: short, medium length and long. It is shown that the effect of base inhomogeneity on the stress-strain state is most noticeable for long plates.
Key words: thin plates / elastic inhomogeneous foundation / Winkler model / Ritz-Timoshenko method / bed coefficient
© The Authors, published by EDP Sciences, 2024
This is an Open Access article distributed under the terms of the Creative Commons Attribution License 4.0, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
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