Yes there is such thing as a weigh-bridge.. Bogota/Columbia has (had) one and (would) often send a 747F over for a check (those who know BOG geography know that performance is not to be trifled with). I haven't been there in a while, so don't know if it is still operative. As an indicator, B744F MTOW 398T was restricted to about 330T IIRC out of there. Circling climb in a bowl of mountains.
At what cost... and before anyone says anything, cost is everything these days. Risk analysis etc etc (which means "acceptable" risk for minimum cost, and no, I cannot define "acceptable")