Support for Tile floor

I have 2x8 (7.25x1.5) what appear to be doug fur or southern pine floor joists on 16" centers in a finished basement. I want to tile a master bath on the main floor. Joists span exactly 11' 4" from the concrete foundation to a steel center beam. Is that span too much?

If I use this calculator: http://www.johnbridge.com/vbulletin/deflecto.pl

I get 11.5 foot = not good for tile. 11 feet = good for tile.

House was built in 1962. My joists are in good condition, but subfloor is shot and will be replaced (had some leaky upstairs bathrooms.) However, the cross bridging is non-existent (should I add this?) And, in one joist someone cut a 1x3" notch out of the top for plumbing.

Can these joists / spans support ceramic tile? And, how large of a soaker tub will they support (soaker tub will be placed near outside wall/foundation).

I'm not sure if laminating a sister to each beam would count as three inches (I don't see why not if done properly, for at least as far as deflection is concerned; load calculation I have no idea), then it would be `3 x 7.75`, and according to your link (L/673) that's OK for tile.