Buckling of Square Plates with Different Central Cutouts
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Abstract
This research aims to study the effects of cutout shape and size with different load combinations on buckling of perforated square plates. Loadings are divided into three types which are a uniaxial compressive force, biaxial compressive forces, and biaxial tensile and compressive forces. These loads are in-plane and uniformly distributed along the edges of the plates. In the case of biaxial loading, these forces are perpendicular to each other and to the edges of the plates. The models are analyzed as square plates with simple supports on all four edges. The finite element method is employed to determine the buckling loads in the direction of x-axis. From numerical results, increasing cutout size will reduce the buckling load in all cases. In addition, considering the buckling load of the plate subjected to uniaxial load as a reference case, it is found that the plates subjected to biaxial compression have the lowest buckling loads. The buckling load is also reduced as the ratio of compressive forces per unit length in the y- and x-axis is increased. In contrast, the plates subjected to biaxial tension and compression will have greater buckling loads. The above results are the same for both circular and square holes. However, when compared in terms of strength to weight ratio, plates with small cutouts produce slightly different results for both shapes. But for the larger cutouts, the square cutout will significantly provide better strength to weight ratio than a circular cutout at the same diameter to width ratio.
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