The object of the article is the shed cover of the Fisht Olympic Stadium - the venue of the Opening Ceremony of the Winter Olympics in 2014. The study proposed and investigated several variants of the shed structures - shed of the plane frameworks (which existed in 2012-2015.), the shed of the lenticular frames with variable height; shed of the cross frames and shade of the cross shaped frames. The analysis of the stress-strain behavior of the different variants of the shed was made using a SCAD Office; considering the optimization of geometrical parameters of the proposed new options and a comparative analysis of the developed solutions. During the research the height of a covering was changed. It is found that the variable height structures are more effective.