2x6x12s, 16oc should be fine.
Making some leaps on the design, I get the 2x6's as being on the light side at 16" OC for 11'-0" with a shallow 4/12 (common on lean to structures) slope. Figuring roof loading at 20PSF Live & 15 PSF dead with no ceiling, I show Southern Yellow pine as capable of 10-3 max. Change the spacing to 12" OC and they barely pass, move up to 2X8's at 16" OC anything greater than #2 passes.
To really answer any design questions, location including State (This is needed for local Snow load information) needs to be supplied. Should also provide some additional information such as planned method of construction, roof type, slope or any basic details you can provide.
Also if you have a local Building or Code enforcement agency they may be a good reference to help answer some basic (or minimum requirment) questions.
Making some leaps on the design, I get the 2x6's as being on the light side at 16" OC for 11'-0" with a shallow 4/12 (common on lean to structures) slope. Figuring roof loading at 20PSF Live & 15 PSF dead with no ceiling, I show Southern Yellow pine as capable of 10-3 max. Change the spacing to 12" OC and they barely pass, move up to 2X8's at 16" OC anything greater than #2 passes.
To really answer any design questions, location including State (This is needed for local Snow load information) needs to be supplied. Should also provide some additional information such as planned method of construction, roof type, slope or any basic details you can provide.
Also if you have a local Building or Code enforcement agency they may be a good reference to help answer some basic (or minimum requirment) questions.
Thanks, please see topic. I have garage I'm putting this on the side.

Thanks, please see topic. I have garage I'm putting this on the side.
It doesn't matter if you're putting it on the side of a garage, a barn, or a skyscraper. The framing design will be the same for any of them for what you asked about.
D KRAGER gave you good, usable information.
I still stand by the 2x8 @16 OC recommendation (should be cheaper and stronger than 2X6 @ 12 OC), the 2/12 slope is actually worse, snow load for your area should be 20PSF and my original number figured it with a shingled roof (not the lighter metal). I would use a round number for post spacing say 25'-0"/4 or 5 posts 6'-3".
Correct to an extent. Basic construction is similar, Sheating, siding and topping material is the difference.
I asked about basic materials of construction because framing must hold the weight of the topping material. Roof framing cares a great deal if you are topping them with metal (light), shingles/ shakes (medium) or tile/ slate (heavy).
I talked Fri. to county engineer, and he said 2x6 16oc was code. Even for 2/12. Also 2x8 in and out for header was good for 6' post seperation. He also said shingles could not be used less than 3/12. Metal or "roof roll".
Further comments? I'm not trying to low ball cheap, but to many of us, cost is a concern.
