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    A novel approach for determining the local buckling coefficients of box sections with unequal wall thicknesses under axial compression
    (İdris Karagöz, 2025) Nuraliyev, Mirali; Özenç, Osman; Dundar, Mehmet Akif; Akyıldız, Hamza Kemal
    Currently, there is no analytical method developed to determine the local buckling coefficients of box sections with varying wall thicknesses. Addressing this significant gap in the relevant literature, this study proposes a novel approach called the "Reference Section" buckling model to evaluate the local buckling coefficients of such sections under axial compression. In this model, the buckling analysis of an original box section with unequal wall thicknesses is performed establishing a special geometric correlation with two reference box sections possessing the identical main dimensions of original section but uniform wall thicknesses equal to the flange and web thicknesses of the original section. According to the proposed calculation model, all possible critical buckling stresses that may occur in the original box section must fall within the range defined based on the critical buckling stresses determined for reference sections. To evaluate the buckling coefficients of the original box section, a comparative analysis of local buckling stresses in all three sections was conducted. Based on the results of these analyses, necessary boundary conditions that enable the accurate and reliable determination of buckling behaviour were specified. Utilizing these boundary conditions, analytical expressions were derived for the first time to calculate the buckling coefficients of box sections with unequal wall thicknesses under axial compression. These derived analytical expressions have been made available in this study for use in practical engineering applications.
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    Determination of optimal cross-section dimensions of rectangular hollow sections under oblique bending: analytical and numerical study
    (İdris Karagöz, 2024) Nuraliyev, Mirali; Dundar, Mehmet Akif
    An insignificant number of rigorous studies have been devoted to the development of analytical procedures that determine the optimal cross-section dimensions of rectangular hollow section (RHS) members subjected to oblique bending, albeit their ubiquity in numerous application fields. In response to this, an analytical procedure has been developed based on the concept of minimizing maximum effective stress in the RHS caused by an applied oblique bending moment, in order to reduce material costs without compromising strength requirements. The RHS members addressed in this study have been assumed to be produced by hollowing out rectangular solid sections at different cross-section area extraction ratios; therefore, only the wall thicknesses of the RHS members have been taken into consideration as design variables. The minimization of maximum effective stress has been achieved by establishing a functional correlation between the cross-section design variables. The proposed procedure allows specifying the optimal cross-sectional dimensions for given different cross-section area extraction ratios and bringing cost-effective use of materials. After the subtle mathematical calculations, the derived analytical expressions have been made available to practical engineering in simple math forms for use in real design applications. The analytical procedure has been validated against numerical results which have been extracted from finite element analyses carried out in Abaqus engineering software.
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    Parametric study on the assessment of the local buckling behavior of perforated square hollow sections with non-uniform wall thickness under axial compression
    (İdris Karagöz, 2024) Dundar, Mehmet Akif; Nuraliyev, Mirali
    The aim of this rigorous parametric study is to explore the influence of perforations on the local buckling behavior of square hollow sections (SHSs) possessing non-uniform wall thickness. A finite element procedure followed in the current study has been first validated against existing test results documented for the local buckling behavior of the perforated SHS with uniform web and flange segment thickness under axial compression. The linear elastic eigenvalue buckling and elastoplastic buckling analyses have been implemented using the Abaqus engineering finite element code. The verification of the numerical procedure has been achieved by favorably comparing the finite element results with the existing test results in terms of the first local buckling mode shape and load-end shortening curves of the perforated SHS with uniform wall thickness. . The verified numerical procedure has been applied to the problem of finding the perforation effect on the local buckling response of the SHS with non-uniform thickness. Finite element analyses have been performed for four various web width-to-perforation diameter ratios ranging from 0.3 to 0.9. Finite element analysis results have revealed that the presence of perforations does not influence the local buckling mode shape of the SHS but considerably affects the critical local buckling loads. The results have put forth that increasing perforation diameter leads to a more pronounced and drastic decrease in the critical local buckling load. The outcomes of the study have also shown that the critical post-buckling load of the SHS with non-uniform wall thickness is less susceptible to perforations compared to the SHS with uniform wall thickness. The results obtained in the context of this parametric study have been made available to practical engineering for use in actual design of the perforated SHSs.