Optimal Open Cross Sections of Thin-Walled Beams
The paper presents a comparative analysis of optimal mono-symmetrical arbitrary open cross sections of cold-formed thin-walled beams. Five different shapes of open cross sections of the beams are subject to the optimization. Every section is separately described by dimensionless parameters. Warping functions and inertia moments are determined. These thin-walled beams with open cross sections are in a pure-bending state. The strength and stability conditions are defined for each of the beams. Optimal cross section forms of the investigated beams are determined based on maximal value of a dimensionless objective function under strength and stability constraints.