Abstract
This paper aims at investigating the elastic buckling behavior and the effective width method (EWM) to predict the ultimate strength of the simply supported rectangular plates under gradient stress (SSRPSG) with circular or rectangular holes. The analytical models of SSRPSG with circular or rectangular holes were established by using the finite-element (FE) software ABAQUS. The FE parametric study covered the aspect ratio, slenderness ratio, and stress gradients of plate and the dimension and spacing of holes. The FE analysis included eigenvalue buckling analysis and ultimate strength analysis. The eigenvalue results show that the buckling coefficient of the perforated plate gradually decreases, and subsequently, it gradually increases with the increase of the dimension of the hole. The buckling mode changes from the buckling including hole to the buckling of plate strip adjacent to hole at the section of the hole. The increasing stress gradient causes an increasing effect on buckling coefficient. The buckling coefficients are less affected by the aspect ratio and the slenderness ratio of the perforated plate and the spacing of hole when the hole spacing meets a certain limitation. The buckling coefficient equations of the SSRPSG with circular or rectangular holes were developed according to results obtained by FE analysis. Finally, the effective width design method was developed based on FE results and developed buckling coefficient equations. The comparisons on ultimate strength between FE results and the predicted results for SSRPSG with circular and rectangular holes and between the predicted results and test results for perforated columns and beams indicate that the proposed effective width design method is accurate, which can be used to predict the ultimate strength of SSRPSG with circular or rectangular holes.
Highlights
Cold-formed thin-walled steel plain and lipped channels as structural members have been widely used in various structural fields due to their great strength to weight ratio and ease of construction. e channel sections used in the walls, floor, and ceilings of buildings often include holes in the web for installation of plumbing, electrical, and heating conduits
E compression tests of 24 short and intermediate length cold-formed steel columns with and without slotted web holes were carried out by Moen and Schafer [4]. e research results indicated that the presence of slotted holes causes only a slight decrease in the ultimate strength of the test columns, the postpeak response and column ductility are influenced
Design equations for determining the buckling coefficients and effective width of SSRPGS with circular or rectangular holes were developed. e efficiency and accuracy of buckling coefficients and effective width equations in predicting the ultimate strength of the thin plate and cold-formed thinwalled steel members with holes were verified through a comparison on the load-carrying capacity for the coldformed thin-walled steel members with holes in some tests
Summary
Cold-formed thin-walled steel plain and lipped channels as structural members have been widely used in various structural fields due to their great strength to weight ratio and ease of construction. e channel sections used in the walls, floor, and ceilings of buildings often include holes in the web for installation of plumbing, electrical, and heating conduits. E design formula for calculating the ultimate strength of plates with circular or rectangular holes under uniaxial compression or biaxial compression with different boundary conditions were proposed by Shanmugam, evendran, and Tan [23] according to finite-element analysis In those literature studies [1,2,3,4,5,6,7,8,9,10,11,12,13,14, 17,18,19,20,21,22,23], the research studies of design equations of the elastic critical buckling stress, buckling coefficients, and effective width only considered about the thin plate with holes under uniform compression or bending. Design equations for determining the buckling coefficients and effective width of SSRPGS with circular or rectangular holes were developed. e efficiency and accuracy of buckling coefficients and effective width equations in predicting the ultimate strength of the thin plate and cold-formed thinwalled steel members with holes were verified through a comparison on the load-carrying capacity for the coldformed thin-walled steel members with holes in some tests
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