Searching for a compromise solution in cross-section size optimization problems of cold-formed steel structural members

A parametric optimization problem of cross-sectional sizes for cold-formed steel lipped channel structural members subjected to axial compression has been considered by the paper. An is formulated as define optimum member taking into account post-buckling behavior (web and flange local distortional buckling) well requirements when profile perimeter (strip width), thickness, design lengths material properties are constant specified in advance. Maximization load-carrying capacity assumed purpose function. The solved exhaustive search method using software written Python. As results channels with dimensions have obtained depending on thickness member. In order obtain solutions CFS which independent from flexural searching a compromise solution performed method. higher buckling resistance under at same consumption (stripe width) comparing proposed manufacturer. Web phenomenon occurred all cross-sections sizes.