There is a hangar at Boscombe Down called the "Weigbridge Hangar" (original name!) which could happily do a weight and balance on pretty much any aircraft size and shape - and an incredibly useful facility it was too.
Whilst I was there, I saw it used for aircraft from C130 to motorgliders, didn't particularly struggle with any, although I was never indoctrinated in the intricacies of it's use. It was I believe first used for the Bristol Brabazon.
G