Abstract
Composite steel beam is commonly used element in multistory steel buildings today. The composite action between the concrete deck and the steel beam reduces both steel weight and deflection, accordingly, enhance floor economy and serviceability. Many earlier researches were carried out to optimize the design of the composite steel beams under both static loading and dynamic behavior. None of these researches was concerned in optimizing the cross section or the longitudinal profile of built-up composite steel beams. The aim of this research is to develop simple and practical equations to determine the optimum cross section dimensions and optimum longitudinal profile for both shored and un-shored simply supported built-up fully composite steel beams. These equations were developed using (GRG) solving technique considering residential buildings loads and (ASD) design method. Also, the research presented an example for utilizing the developed equations
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