Welcome to the fray, Tom and Pat.
I'll be the first to admit I don't understand some of this description:
Quote:
The substructure is plywood on top of 7/8 in. Trus Joists. The joists run perpendicular to where the cracks occur. The joists are around 39 feet long and around 19 inches apart. The maximun joint deflection is supposed to be L/480 live load and L/240 total load.
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In particular, I don't understand the description of a "7/8 in. Trus Joist". Truss Joist I comprende OK, but not the 7/8 inch. Can you tell us a little more about the joists? In particular, the depth of each joist, and a model number if you can see one stamped on there somewhere (I'm assuming they are Weyerhauser's Silent Floor System).
And we are to understand that the joists are a clear span of 39 feet with no intermediate support? That's a fairly long residential span, is why I ask, and to get L/480 deflection with 19.2 inch spacing a fella'd need pretty deep joists.
As has been pointed out, the standard deflection is far higher than your rating, if indeed you have that much floor. Did you get the specs from the builder or from an engineer or the manufacturer?
We also need to know what's under the backer board. With 19.2 inch spacing, you'll need to have a lot of plywood under there in two layers. Find out what they gave you as a subfloor. Then find out what's directly under the backer board. If it's stapled down, I'm a little suspicious that it may not have thinset under it and that the joints may not have been taped as required. Do you know if both those things were done? And the name of the backer board may be helpful, since it's stapled.
You may have a number of problems ganging up on you here. I'm also gonna agree with my friends Mike and Randy that if your builder/tile mechanic have ever done this installation before, they've seen this problem before. I'd be questioning them very pointedly about this installation.
My opinion; worth price charged.