Scienceline Publications
Journal of Civil Engineering and Urbanism
2252-0430
6
3
2016
May
Buckling Analysis of Biaxially Compressed All-Round Simply
Supported (SSSS) Thin Rectangular Isotropicplates using the
Galerkin’s Method
48
53
http://www.ojceu.ir/main/attachments/article/52/J.%20Civil%20Eng.%20Urban.,%206%20(3)%2048-53,%202016.pdf
EN
David
Ogbonna
Onwuka
Department of Civil Engineering, Federal University of Technology, Owerri, Imo State, Nigeria
Owus
Mathias
Ibearugbulem
Department of Civil Engineering, Federal University of Technology, Owerri, Imo State, Nigeria
Stanley
Emeka
Iwuoha
Department of Civil Engineering, Federal University of Technology, Owerri, Imo State, Nigeria
Joan
Ijeoma
Arimanwa
Department of Civil Engineering, Federal University of Technology, Owerri, Imo State, Nigeria
Samuel
Sule
Department of Civil and Environmental Engineering, University of Port Harcourt, Rivers State, Nigeria
This work studied the buckling analysis of biaxially compressed all-round simply supported (SSSS) thin
rectangular isotropic plates using the Galerkin’s method. The study was limited to thin rectangular isotropic plates
having aspect ratios ranging from 1 to 2. The general equation for the critical buckling load of a biaxially loaded plate,
was formulated from the overall governing differential equation for plates, using the Galerkin’s method. The derived
general equation, was expressed as the load in the x-axis in terms of that in the y-axis. This was done by means of a
linear relationship which was obtained for the buckling load on the y- axis in terms of that on the x-axis. The SSSS
plate deflection equation, was obtained using the polynomial series, and was substituted into the general equation of the
critical buckling load of a biaxially loaded plate. This yielded the unique expression for the critical buckling load of a
biaxially loaded SSSS plate. Different values (0 to 2) of aspect ratios and “k” (relationship constant between forces on
the Y-axis and forces on the X-axis) values (0.1 to 1) were substituted into the critical buckling equation for an SSSS
plate, and the critical buckling load coefficients were obtained. The critical buckling load coefficient of a square plate
(i.e. at k equal to 1), was obtained as 19.754. When compared with the exact value (19.744) obtained by other
researchers who used the trigonometric series, a percentage difference of 0.047 was discovered. At k equal to zero, and
for different aspect ratios, the results of the present study showed a maximum percentage difference of 0.069 with those
given in the literature. It was therefore concluded that this paper has provided the critical buckling load equation, and
results for a biaxially loaded SSSS plates having different k values and aspect ratios, whose result has not been found in
the literature.
Buckling Analysis
Plates
Biaxial Forces
Galerkin’s Method
Boundary Condition