Preprint Article Version 1 Preserved in Portico This version is not peer-reviewed

Bending Analysis of Stepped Rectangular Plates Resting on Elastic Half-Space Foundation

Version 1 : Received: 29 May 2023 / Approved: 30 May 2023 / Online: 30 May 2023 (10:06:16 CEST)

A peer-reviewed article of this Preprint also exists.

Wu, J.; Zhang, J.; Li, X. Bending Analysis of Stepped Rectangular Plates Resting on an Elastic Half-Space Foundation. Buildings 2023, 13, 1671. Wu, J.; Zhang, J.; Li, X. Bending Analysis of Stepped Rectangular Plates Resting on an Elastic Half-Space Foundation. Buildings 2023, 13, 1671.

Abstract

In this paper, thin plate theory and moderately thick plate theory are proposed for analyzing the bending problem of rectangular plates with stepped thickness resting on elastic half-space foundation. The ground reaction is considered as an unknown coefficient and the hypothesis of Winkler foundation model and two-parameter ground model is eliminated in this method, so as to obtain the law of internal force distribution of the plate and the distribution law of contact reaction force between the stepped rectangular plate and foundation. The stepped rectangular plate is divided into upper and lower plates, and thin plate theory and moderately thick plate theory are used to obtain the analytical solution. The obtained analytical solutions in this paper are compared with results reported in other publications to verify the accuracy of this method. The effects of the elastic modulus and dimensions of the plate, and theory of plate are also considered. The analytical solutions show that it is feasible to decompose the stepped rectangular plate into two plates for analyzing the bending properties of stepped rectangular plate, and this method provide a reference for the study of multilayer stepped rectangular plates.

Keywords

Stepped rectangular plate; thin plate theory; moderately thick plate theory; static; bending performance

Subject

Engineering, Civil Engineering

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