So, the floor is okay for L360, correct. If I decided to go ahead and return the travertine and find a ceramic tile, all I would need is 1 layer of 3/4 plywood or OSB along with Ditra and I should be fine, right? What about Hardibacker? I already purchased that.
As far as calculations go, you are at about L/340 which just makes it for tile. Thats without adding any additional plywood.
Can you tell us what the thickness of the subfloor is?
I also want to clarify what "unsupported span" means. This is the length of the joist that is not supported by wall or beam, correct?
Some people use this term to describe the section of a floor josit that spans between two supports.(IE: foundation walls,exterior walls and beams)
That term is not used when your talking about code specifications. It's actually referred to as supported span when doing size calculations.
What Harry means by "bridge a support midway", refers to constructing a wall or placing a beam in the middle of the span under the floor area in question.
You may have miscalculated the actual span of your floor joists. Can you tell me what the distance is from wall to wall and the dimension from the walls to the beam in your garage?
Is there a way to find a contractor that is familiar with Ditra?
No easy way other than asking each tile setter or contractor you call whether they use Ditra floor underlayment.