Mathematical Problems in Engineering
Volume 2011 (2011), Article ID 509724, 19 pages
Research Article

Analytical Behavior Prediction for Skewed Thick Plates on Elastic Foundation

Department of Civil and Environmental Engineering, Yonsei University, 134 Shinchon-Dong Seodaemun-Gu, Seoul 120-749, Republic of Korea

Received 11 May 2011; Accepted 1 August 2011

Academic Editor: Paulo Batista Gonçalves

Copyright © 2011 Pang-jo Chun and Yun Mook Lim. 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.


This paper presents analytical solutions for the problem of skewed thick plates under transverse load on a Winkler foundation, which has not been reported in the literature. The thick plate solution is obtained by using a framework of an oblique coordinate system. First, the governing differential equation in that system is derived, and the solution is obtained using deflection and rotation as derivatives of the potential function developed here. This method is applicable for arbitrary loading conditions, boundary conditions, and materials. The solution technique is applied to two illustrative application examples, and the results are compared with numerical solutions. The two approaches yielded results in good agreement.