I am not an engineer, but you should have no issues with a tank unless the house has issues supporting itself.
Remember, you are spreading the weight across 12 sq-ft. The tank setup is going to weigh in around 1000 lbs. That is the equivalent of four 250 lb. people standing next to each other. Houses are designed to handle that, easily. They can do that while supporting the walls, roof, ceiling, etc.
So, unless there is something wrong with the house structurally, you shouldn't have to worry.
ps: This same logic holds true for apartments and second floors.