I am wanting to install a mezzanine floor in my kid's bedroom to free up some space below. She will have her bed on the mezzanine level and below will be a study/leisure area. The mezzanine size will be 2580mm x 1980mm - just enough room for a queen bed. As room ceiling height is a consideration and I want to maximise headroom on the mezzanine level, I am wanting to create the support grid with beams/joists at the minimum thickness, still allowing for safety etc. From my research I think the beams need to be 140mmx45mm, but not sure if I could use 90mmx45 instead. Any advice on either timber or steel options that minimise the thickness of the mezzanine floor. Much appreciated.