journal article·2024-03-08Open access

An Improved Winkler Foundation Modulus for a Beam in a Full Space

Lihui Xu, Mi Zhao, Jingqi Huang, Huifang Li, Xiuli Du, Xu Zhao, Shengtao Cao

Applied Sciences· Volume 14· Issue 6

Abstract

The Winkler foundation modulus is key to evaluating the response of underground structures using the elastic foundation beam model. In this paper, an improved formula of the Winkler foundation modulus for a beam embedded in a full space is proposed to overcome the limitation of inconsistent assumptions in previous studies. To achieve this goal, the bending responses of the beam are obtained using the elastic foundation beam model and three-dimensional elastic continuum model, respectively, wherein a consistent assumption is proposed that tangential interactions at the beam–ground interface are ignored in the two models. In addition, as deformation of the site is an important source of the underground structure response, the beam is applied to standard soil displacement of the free field on the Winkler foundation to improve the accuracy of the Winkler modulus obtained by fitting solutions based on the concentrated force on the beam. The formula for the Winkler foundation is obtained by equating the first zero of the bending moment in the two models. The Winkler foundation modulus is verified by comparing the results with numerical solutions and previous studies.
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Research context

OpenAlex topics: Geotechnical Engineering and Underground Structures · Geotechnical Engineering and Analysis · Geotechnical Engineering and Soil Mechanics

SciVX discovery tags are terminology-based. OpenAlex topics are source-provided classifications.

Affiliations

The Key Laboratory of Urban Security and Disaster Engineering of Ministry of Education, Beijing University of Technology, Beijing 100124, China

Beijing Key Laboratory of Urban Underground Space Engineering, School of Civil and Resource Engineering, University of Science and Technology Beijing, Beijing 100083, China

School of Civil and Transportation Engineering, Beijing University of Civil Engineering and Architecture, Beijing 100044, China

Guangzhou Yingli Technology Ltd., Guangzhou 510663, China

Funding

National Natural Science Foundation of China · National Key Research and Development Program · Postdoctoral Research Foundation of China · Beijing Postdoctoral Research Foundation

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