Cross-Section Size Optimization of Cold-Formed Steel Lipped Channel Structural Members Subjected to Axial Compression

Abstract

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 optimization problem is formulated to define optimum cross-sectional sizes of cold-formed structural member taking into account post-buckling behavior and structural requirements when stripe width, profile thickness and profile type are constant and specified in advance. Maximization of the load-carrying capacity of the cold-formed structural member has been assumed as purpose function. As optimization results cold-formed steel lipped channels with optimum dimensions have been obtained. Steel lipped channels structural members with the optimum cross-sectional dimensions have higher load-carrying capacities at the same material consumption (stripe width) comparing with the ones proposed by the manufacturer when the material consumption.

Keywords

• cold-formed steel
• buckling resistance
• torsional-flexural buckling
• parametric optimization
• gradient-based methods