Gee there sure is a lot of "I'm an Engineer-itis" going around this post, like that qualifies us for a special deal at Waffle House or something.
http://www.dow.com/styrofoam/na/res-canada/projects/insulating_under_slab.htm
And I quote:
"It is important to insulate slabs to reduce the potential for condensation (or sweating) on the slab and to reduce energy loss and increase comfort. And, it is critical to insulate slabs that are going to have floor coverings installed over them to reduce the potential for condensation and mold. It is easy to insulate under the slab before the concrete is poured (placed). STYROFOAM™ extruded polystyrene insulation offers high moisture resistance, compressive strength and R-value and is ideal for this application"
The product is rated at 30 psi. As a mechanical engineer (damn...it must be catching) I take solace in the fact the product manufacturer recommends it for the application in question. I had no qualms in using it in my garage and wouldn't consider building another without the same product or similar under the slab.
I DID remove the foam in 4' X 4' squares under my lift columns (2 post 10,000 pound). That meant I ended up with 2" more concrete under those sitting right on the vapor barrier. The rest of the slab was 4" to 5" thick (sloping to the floor drains) with heavy wire grid reinforcement (designed for the hydronic tubing) AND fiber reinforcement. The fiber reinforcement was only $7 per yard extra...so I said "what the hey".
The slab is 1 year old and the only imperfection on it is where I dropped one of the lift columns while unloading it.
Let's think about it...30 psi compressive rating means 10% deformation at a loading of 4320 pounds per square foot. That's dynamic load. Your concrete is actually going to float any applied load across an area much larger then 1 square foot, because it can't deform as much as the styrofoam.
I would not use styrofoam under a machine base, or something like that...but under a garage floor it's a GREAT solution to an important problem with slab on grade construction, namely breaking the thermal barrier to the ground, so that indoor comfort can be obtained with some efficiency.
That's my take on it.
Phil