Recessed lights clearance

So I am installing some recessed lights this week and picked some up from the local store. The room is completely stripped down to beams and posts, so no walls or ceilings. When I read through the instructions they call for at least 7.5in of clearance on the beam they are connecting to, however I only have roughly 7.125-7.25in of clearance. Now the cans seem to set well, and there is probably a millimeter between the back of the can and floor board (which I may add will have insulation) (and yes they are IC cans). Is there anything wrong with installing these cans? I really don't want the shallow ones if I can avoid it, but the only thing I can think would help is to attach some 1" planks to the beams to give it more clearance and then my ceiling drywall will be 1" lower. Also not an ideal option but probably my choice if it means I can avoid the shallow cans.

Pre Thanks for any help.

 

Can you provide the manufacturer and model number of the recessed cans? I am a little baffled by the clearance required if these are IC rated cans.

 

Sorry I was incorrect in my use of the term "clearance". I meant I have a total depth of 7.25 and the cans call for a total depth of 7.5in, which from what I hear is pretty standard. Now, the cans fit, there is no doubt of that. However the clearance (space between the back of the can and the above floor boards) is very minimal. My question is if I actually need the extra .25in of space with an IC can or if I can just jam my insulation up there and tighten it all down.

I'd hate to get it all installed and have the lights flicker or have the inspector call me a moron. That would be no fun.

 

By beam I assume you mean joists. Your joists sound like they are suppose to be 2X8s which are usually 7-5/8" or 7-1/2". I don't understand why they are 7.25. Are these composite joists instead of 2X8s?

 

big think wood joists measured at 7.25" x 3.5" circa 1961

 

I had this same problem, I ended up using Juno adjustable cans but they were not IC rated since it was just between floors. Here is what I used: J-TC2R 6" REMODEL RECESSED HOUSING ADJUSTABLE 5-1/4" TO 7-1/4" HEIGHT