Version 1
: Received: 29 June 2023 / Approved: 30 June 2023 / Online: 3 July 2023 (14:32:25 CEST)
Version 2
: Received: 19 July 2023 / Approved: 20 July 2023 / Online: 21 July 2023 (12:53:46 CEST)
How to cite:
Fogang, V. Another Approach to the Analysis of Isotropic Rectangular Thin Plates Subjected to a Concentrated Bending Moment Using the Fourier Series. Preprints2023, 2023070112. https://doi.org/10.20944/preprints202307.0112.v1
Fogang, V. Another Approach to the Analysis of Isotropic Rectangular Thin Plates Subjected to a Concentrated Bending Moment Using the Fourier Series. Preprints 2023, 2023070112. https://doi.org/10.20944/preprints202307.0112.v1
Fogang, V. Another Approach to the Analysis of Isotropic Rectangular Thin Plates Subjected to a Concentrated Bending Moment Using the Fourier Series. Preprints2023, 2023070112. https://doi.org/10.20944/preprints202307.0112.v1
APA Style
Fogang, V. (2023). Another Approach to the Analysis of Isotropic Rectangular Thin Plates Subjected to a Concentrated Bending Moment Using the Fourier Series. Preprints. https://doi.org/10.20944/preprints202307.0112.v1
Chicago/Turabian Style
Fogang, V. 2023 "Another Approach to the Analysis of Isotropic Rectangular Thin Plates Subjected to a Concentrated Bending Moment Using the Fourier Series" Preprints. https://doi.org/10.20944/preprints202307.0112.v1
Abstract
The aim of this paper is the analysis of isotropic rectangular thin plates simply supported or clamped along two opposite edges and subjected to a concentrated bending moment perpendicular to these edges, whereby the other edges have arbitrary support conditions. The standard approach to this problem is to replace the bending moment with a couple of forces infinitely close and to use the known expressions of efforts and deformations for the plate subjected to concentrated forces; the results are then related to the first derivatives of those efforts and deformations with respect to the position of application of the load. In this study, the concentrated moment was expanded into a Fourier series, leading to a distributed external bending moment, and the boundary conditions and continuity equations were set. Plates of infinite length were also analyzed and the results obtained were identical to those in the literature.
Keywords
Isotropic rectangular thin plate; concentrated bending moment; plates of infinite length; Lévy solution; Fourier sine series
Subject
Engineering, Civil Engineering
Copyright:
This is an open access article distributed under the Creative Commons Attribution License which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
