Abstract
Stainless steel has excellent corrosion resistance properties, considerable long-term durability, and good mechanical strength. Hollow sections are a versatile and efficient form for construction applications. The use of cold-formed stainless steel rectangular hollow section (RHS) and square hollow section (SHS) in construction industry grasps the attention of designers conceiving long-term, cost-effective structures. For cold-formed RHS and SHS, localized imperfection (ω) resulting from rolling and fabrication process is inevitable. ω has inherent variability and has no definitive characterization. In this paper, statistical analysis of the maximum value of ω collected from available experimental data is conducted. A new approach utilizing Fourier series to generate the three-dimensional (3D) models of members with random ω is proposed. Probabilistic studies based on the proposed 3D models are then carried out to evaluate the effect of uncertainty in ω on the ultimate compressive strength of stainless steel columns with cold-formed RHS and SHS. A total of 21 columns that are prone to local buckling reduction are studied. The results show that uncertainty in ω has a considerable influence on the columns with relatively higher cross-sectional slenderness.
Highlights
Stainless steel is a steel alloy that contains a minimum of 10.5% chromium (Cr) content by mass.There is a wide range of stainless steels with varied levels of corrosion resistance and mechanical strength
Research related to the effect of uncertainty in localized imperfection on the ultimate compressive strength of cold-formed stainless steel rectangular hollow section (RHS) and square hollow section (SHS) has not been explicitly reported, even though they have been studied for structural applications at the material, member, and system levels [1,17,19,20,21,22,23]
A probabilistic study was carried out to investigate the effect on the uncertainty in localized imperfection (ω) on the distribution of the ultimate strength of the stainless steel columns with cold-formed RHS and SHS
Summary
Stainless steel is a steel alloy that contains a minimum of 10.5% chromium (Cr) content by mass. Research related to the effect of uncertainty in localized imperfection on the ultimate compressive strength of cold-formed stainless steel RHS and SHS has not been explicitly reported, even though they have been studied for structural applications at the material, member, and system levels [1,17,19,20,21,22,23]. For this purpose, a mathematical approach utilizing Fourier series to generate the 3D models of members with random ω is proposed in this paper. Is min{ω max/b, 0.5 mm}, where ωmax/b ≤ 0.008; b is the side (straight side of the crosscross-section) length; and ω represents the maximum deviation from the straight max section) length; and ωmax represents the maximum deviation from the straight side. side
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