It depends on the load you intend to impose and the grade and species of lumber and it's size and spacing as well as the ceiling you want below it.
All ceiling joists deflect or sag (Sag is not the right term). The question is how much. For a finished ceiling you want L/360 (Or better), or a deflection of 1/360th of the length of the span. For a situation with no ceiling, L/240 is OK.
The load is a combination of the things that will be stored, any human occupation and the weight of the structure itself. People and stuff are called the live load and the structure is called the dead load.
Typical LL for residential floors is 40#/SF (Square foot). Structure like this is usually 10#/SF. This is what I would use if the space is tall enough for you to walk around up there and fill the space with typical residential stuff. If the space is shallow and only light storage, you have to adjust the LL.
So let's look at yours. The 8/12 pitch means you can get up there and store stuff up there. You will need a 3/4" T&G plywood floor deck, screwed and glued to the joists. You can insulate between the ceiling joists, but that may not be adequate and you will need additional insulation at the rafters. Don't forget an airspace in each rafter bay for ventilation.
You may install a pull down stair. I'll also assume a ceiling will be installed.
Using a joist calculator and choosing readily available #2 and better hem-fir dimensional lumber, you can span 13'10". Your span is 13'5".
Adjust species or grade or spacing or loads or allowable deflection to get other results.
Span calculator:
http://www.awc.org/codes-standards/calculators-software/spancalc
Personally, I don't like to space floor or ceiling joists with a floor above them, more than 16"o.c. So if there is no ceiling and storage up there is going to be relatively light, with a ceiling that could flex without cracking, I would use a #30 live load and L/240 so I could use 2x8's at 16"o.c. Also, if zoning allowed the height, I would go 12/12 roof pitch to give me 7' inside at the peak.
Understand?
Bill