OH? What material science are you talking about?
It's actually simple. Using your info of 2x6 joists, spanning 10' 0" @ 16" o.c. (2x6 is very unusual). Most of these joists would be grade #2. So according to my chart you would be at I-360 at 9' 9" max. You are over spanned if it measures 10' 0". Since I-360 is the max for tiles. Will is work at I-250? It might, but the industry standard does not allow it.
You can sister those joists, at least the mid 2/3 will do wonders. Build a supporting wall or a beam to shorten the span. Or you can take a chance and pray.
Another choice is to find a thin set that says will work even at I-240. Hydroment Reflex.
http://www.bostik-us.com/sites/default/files/Reflex.pdf It's a great company and you'll want to consider this if you
can not do the other remedies. I said
can not, not don't want to.
Jaz