Thin-walled member is structurally superior to a construction member.\nHowever, by reason of complexity in structure the stress and the deformation\nto yield the cross section are complicated. Specially, in case thin-walled\nmembers, such as thin-walled channel section columns, which are subjected\nto compressive force, these members produce the local buckling, distortional\nbuckling and overall buckling. A number of experimental and theoretical investigations\nsubjected to axial compressive force are generated for thin-walled\nchannel section columns with triangle-shaped folded groove by Hancock [1]\nand with complex edge stiffeners and web stiffeners by Wang [2]. In case\nthin-walled channel section column with folded groove which is subjected to\naxial compressive force, it is cleared that the buckling mode shapes are ordinarily\ngenerated for local buckling mode shape of plate-panel composing\ncross section of member in short member aspect ratio and overall buckling\nmode shape as column and distortional buckling mode shape interacting between\nlocal buckling and overall buckling similarly normal thin-walled\nmember. It is cleared analytically and experimentally that buckling strength\nand critical strength of thin-walled channel section column with folded\ngroove can increase sharply in comparison with that of normal thin-walled\nmember composing only plate-panel. In this paper a new cross section of\nshell-shaped curved groove [3] was proposed instead of the thin-walled\nlipped channel section column with triangle- and rectangle-shaped folded\ngrooves used ordinarily, and therefore the comparison and the examination\nof buckling strength and buckling behavior were generated in the case of\npreparing triangle-shaped folded and shell-shaped curved grooves to web and\nflange of thin-walled channel section column. And then in order to investigate\nthe buckling behavior on the thin-walled channel section column with\nfolded and curved grooves, exact buckling strength and the buckling mode shapes are generated by using the transfer matrix method. The analytical local\ndistortional and overall elastic buckling loads of thin-walled channel section\ncolumn with folded and curved grooves can be obtained simultaneously by\nuse of the transfer matrix method. Furthermore, a technique to estimate the\nbuckling mode shapes of these members is also shown.
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