askd how much a bath weighs and got this answer
If you assume a normal bath is about 1700mm long x 600mm wide x 500mm deep and then take off around 100mm each end to allow for the edge of the bath then your looking at around,
1.6x0.5x0.5 = 0.4 cubic meters of water x 100kg/m3 = 400kg for an absoutely brimming bath.
Pretty massive fish tank.
Like [name removed] says it's normal to double the floor joists under baths to allow for the extra weight, there are plenty of houses where they haven't though and the baths don't end up on the floor below.
It would also depend on where you're planning to put the tank, for example right in the middle of the floor would be worse than at the edge as the floor joists have to carry the load further away from the supporting walls.
Come on, confess, how many people read this and started thinking: hey, I could take the bath out of my bathroom and replace it with a really massive fishtank...