Stepped optimization algorithm for light‐weight elastic‐plastic structures considering load combinations

Abstract The aim of the article is to present a developed algorithm of a stepped structural optimization method in the case of load combinations. The presentation of external loading via load combinations usually is employed in design codes. The pin‐jointed steel structures as light‐weight ones are widely used in actual engineering practice. The employment of dissipative features of material via elastic‐plastic model ensures a significant reduction of structural carrying capacity reserves (essential economic effect) versus the employment of structural response only in the elastic range. The stability, stiffness, constructional requirements and actual functions for cross‐sectional properties of standard profiles are employed in the optimization process aiming to obtain an optimal light‐weight structure which deformed behavior is compatible with codified requirements for such class of engineering structures. FEM mathematical models realizing structural optimization method steps are developed.