I disagree with this. Based on this rational, if you had a room that was 10' wide and 40 ft long, you could load a 20,000 lb load on one section. If that room was 80' long, now you could have 40,000 lbs on one section, I think you can see that logically, you're going to run into an issue. The statement that BrotherBart had with "Floor loading standards are for 50 pounds per square foot distributed over it" is accurate. It specifically says that the load is "distributed over it", which implies even loading. The total floor rating in a 10x10 room is, as you state, 5000 lbs, but if that entire load is focused over one or two joists, I can assure you that you'll have problems.
Now, your final statement of 1 ton over a 6'x6' area is far different. This equates to 2000 lbs on 36 sqft, which equals a little over 55 lbs/sqft. Now that's probably well within the factor of safety that would be implied with a 50lb/sqft rating.
Good luck!