ANALYSIS OF SSSS AND CSCS RECTANGULAR PLATES UNDER BOTH LATERAL AND IN-PLANE LOADS USING SPLIT DEFLECTION METHOD
Journal Title: Engineering and Technology Journal - Year 2019, Vol 4, Issue 1
Abstract
This paper presents rectangular plate analysis under both lateral and in-plane loads using split deflection method. Thin rectangular plate with primary and secondary in-plane dimensions a and b and thickness t was analyzed in this research. The plates analyzed are ssss plate, simply supported at all edges and cscs plate, simply supported on two opposite edges and clamped on other edges. The total potential energy functional of the plate is minimized with respect to deflection. This gives governing equation, which was solved using split deflection to obtain general equation for deflection. It is also minimized with respect to coefficient of deflection to obtain the formula for the deflection coefficient. The work satisfies the boundary conditions the two plates and obtained unique shape functions for them. Numerical values of the coefficients of deflection and the center deflections of the two plates are determined in the absence and also in the presence of in-plane loads. The results show that the maximum percentage differences recorded for ssss and cscs plates, in the absence of in-plane load, with previous results are 4.86% and 5.15%. It is observed that it is not advisable to work with plate with in-plane load exceeding the critical buckling load.
Authors and Affiliations
Mbahaotu Godsaveus O. , Ndububa E. E. , Ibearugbulem O. M. , Nwosu Onyebuchi,
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