Unified Solution on Skew Plate Bending with Four Edges Supported under Arbitrary Load

Abstract:

According to the bending equation and boundary conditions of skew plate in the oblique coordinates system parallel to the edge of the plate, expanding deflection and load into form of Fourier series, the paper derives and obtains unified solution of bending problem for the four-edge-supported skew plate under arbitrary load. Programmed and calculated by mathematica language, the paper also comes with deflections and moments under the condition of any oblique angles, ratios of side length and Poisson ratios. The results of the paper is compared with those by the finite element method in the example, and they’re in good agreement with each other. The paper extends the bending theory of rectangular plate to the skew plate of any angle. The theory being reliable and the result being accurate, the research of the paper can provide reference for engineering design.

• Periodical: Advanced Materials Research (Volumes 243-249)
• Pages: 5994-5998
• DOI: https://doi.org/10.4028/www.scientific.net/AMR.243-249.5994
• Online since: May 2011
• Authors: Lang Cao, Xing Jie Xing, Feng Guang Ge
• Keywords: Arbitrary Load, Bend of Elastic Plate, Four Edges Supported, Fourier Series, Skew Plate, Unified Solution

References

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[2] L.S.D.MORLEY: Skew plate and structures (Pergamon Press, N.Y. 1963).

[3] Lang Cao: Engineering Mechanics. Sup (1993), pp.399-402. In Chinese.

[4] Yaoqian Yang: Plate theory (China Railway Press, Beijing 1980). In Chinese.

[5] J B KENNEDY,M W HUGGINS: Proceedings of the American Society of Civil Engineers. (1964), pp.3-12.

[6] Zongda Yan: Solution of Fourier series in Structure Mechanics (Tianjin University Press, Tianjin 1989). In Chinese.

[7] Lang Cao: Jiangsu Construction. Vol. 1 (1995), pp.21-25. In Chinese.