I'm building a detached 24x32. It has a bonus room above. Can I get away with r 13 on floor of the bonus room since I'm hearing and cooling both levels? I live in North Alabama
Insulation between floors would be for noise since both are heated and a/c. R13 or sound insulation would be good. Garage on bottom, bonus room on top, if you have kids up there, then noise coming from them could be a problem too. Course you might want to hear them to keep them from tearing it up too bad.
The insulation is not going to do anything as long as you are heating and cooling both spaces at all times to within a few degrees of each other. If you want it for noise abatement, here is my experience: spray foam > blown in > fiberglass batts > rigid foam . Decide how much noise abatement matters and how much you are willing to spend to get it.
R13 is a 2x4 = 3-1/2" of insulation...agreed you don't need it if you are going to condition both levels but I wouldn't expect much dampening. Go with Roxul which has a high density/high mass for the dampening effect.
If it is going to be finished room above where a guest might stay, or if its a room to hang out and watch tv. Like a movie room, then yeah insulation is a good thing. Rooms above garages are almost always cold due to the overhead garage door below. Even if the OH door is insulated, they still leak a good bit.