A lightweight construction, especially a greenhouse structure, comprises a plurality of pillars (12) arranged at the periphery of an area of said lightweight construction, said pillars (12) extending obliquely and outwardly so that an upper end (22) of said pillars (12) lies substantially in a vertical plane passing through a respective area border. According to the invention at least one of said pillars (12) comprises a supporting element (14), said supporting element being mounted onto said pillar (12) so as to define a predetermined inclination angle of said pillar (12).