Abstract
Steel plates are common in thin walled structures. They are used in various forms and geometries such as intact (not perforated) plates, stiffened plates, perforated, or perforated stiffened plates. This study employs nonlinear pushover finite element analysis to determine the critical buckling strength as well as the plate maximum strength for uniaxially square plates in the form of intact, stiffened, perforated, as well as perforated stiffened plates under uniaxial uniform compression. Curves representing the load axial displacement relationship as well as load buckling relationship were plotted. Tables summarizing the plate critical buckling strength and the plate maximum strength for each of the four plate forms were presented in order to specify the controlling failure for each form, which is considered as a vital factor for the design process. The study indicates that the critical buckling stress for stiffened plates always increases as the number of stiffeners increases. Nonetheless the critical buckling stress decreases as the number of perforations increases. Thus, a stiffened perforated plate would be a proper solution if perforations are unavoidable. The study concluded that in both stiffened square plates and in stiffened perorated plates, the ratio of the plate area to the sum of stiffeners areas tentatively indicate the possible occurrence of stiffener tripping. Ansys software was utilized to perform the analysis that was validated in calculating the critical buckling strength as well as maximum plate strength of intact plate subjected to axial compression.
Highlights
Buckling is a mode of failure that may take place when the plate is subjected to a compressive load
The plate may fail either due to buckling instability owing to excessive buckling when the critical buckling strength is less than the maximum load carrying strength, or due to strength failure when the critical buckling strength is larger than the plate load carrying strength
Beyond the critical buckling strength, the plate experiences nonlinear post buckling due to geometric nonlinearity, followed by material nonlinearity when Von Mises stresses surpass the material yield stress
Summary
Buckling is a mode of failure that may take place when the plate is subjected to a compressive load. Buckling results in development of membrane plate stresses due to the stretching of the plate neutral plane, when the unloaded side edges are constrained. The resulting tensile stresses hinder lateral out of plane deflection. In this regard a number of researches have been carried out on buckling of rectangular plates. Research studies have been published on plates with cut-outs subjected to in plane axial edge loading [3]. They indicate that in such cases the critical buckling strength is usually larger than the plate load carrying strength especially when large cutouts exist
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