There are some freebie online truss calculating tools, but you basically have to be an engineer to interpret the results. Assuming anything more than 2x loading if the 2x4 used simply as a
JOIST might be pushing your luck for un-rated site-built trusses (unless you model it correctly.)
In Clemson, SC with a composition shingle roof you could use wet-spray cellulose blown-in-blanket (behind mesh) against the roof deck (rather than all foam) without risk of roof-deck rot. If you want to be extra careful a 1" shot of closed cell foam on the roof deck and rafter elements prior to the cellulose would guarantee that it works with ANY type of roofing material. See:
http://www.buildingscience.com/docu...of-systemsThe inch of spray foam could be your air-barrier/air-seal, and would glue the roof deck to the trusses, making it more hurricane-proof too. Giving the rafters the full inch, not just the roof deck is worth maximizes the glue effect with less material than a full 2" shot on the roof-deck only.
Open cell foam on the roof deck would also work, but is usually more expensive per unit R than spray cellulose BIB.
If you want a full foot of cellulose at the roof deck you'd probably have to build out the rafter elements Larsen Truss style, to which you would attach horizontal furring to staple the blowing mesh to. That would also add some structural rigidity to the assembly, but if it's a lower pitched roof this could be very awkward. Since the additional truss element is not strictly structural for supporting the roof (it only needs to support the insulation), you'd probably be able to do it every-other truss just to have something to staple the blowing mesh to at a consistent depth.
At the gable ends, again, an inch of foam as an air seal is sufficient, the rest can be done in fiber at a fraction of the cost. If you want higher-R than the gable studs would give you, a Mooney Wall approach and cellulose blown in mesh will work. See:
http://www.builditsolar.com/Project...eyWall.htm This Mooney Wall approach simper to do for the roof deck as well, but would be thinner insulation. A 1" shot of foam + 6" of cellulose would deliver ~ R27, but combined with a total of 3-4" of cellulose on the floor it adds up to ~R40. If you used 2x6 24" o.c. on as the Mooney horizontals you'd get ~ R35 out of it at the roof deck, and another R12-14 at the floor, which would be simpler than a Larsen Truss approach. (This is what to do if that part is contracted out rather than DIY.) The more of the framing elements you can set up as a DIY, the less out-of-pocket you'd spend. If you use wet-spray cellulose it won't sag over time (it uses water based adhesives), and it can be applied at low density (much cheaper than dense-packing.)
If that's all too complicated, an 8-9" shot of 0.7lb density Demilec open cell foam would give you the R value and about the right vapor-permeance but not the additional structural rigidity. It'll probably be significantly more expensive though.
With R6 of foam and a foot of cellulose you'd be looking at an ~R50 roof. While not cost effective on a net-present-value against projected utility savings in a 10 year time frame, both the peak & average heating cooling loads will come down substantially. And you'd be at the recommended R levels for a longer term payback for climate zone 3 (which is where you live) See table 0.2, p 10:
http://www.buildingscience.com/docu...mate-zones While you're having the foam guys in, insulating the foundation sill and band joist with an inch of foam seals one of the largest air leaks the basement too. If you can get to it ahead of time, put 0.5-1" of extruded polystyrene (XPS- pink or blue foam-board) on the basement walls first, and use the foam to seal the top edge of the foam. To meet fire code on the wall foam you need to put 1/2" gypsum between the foam and the rest of the basement, and the best way to do that would be to put up a 16" or 24" o.c. studwall (single-plated top/bottom- it's not structural, but putting XPS under the bottom plate acts as a capillary break to protect the framing from moisture). In the studwall you can cheaply add R value using UNFACED R11 or R13 batts. The seams of the XPS should be sealed with housewrap tape or fiber-reinforced duct tape as you go. The foundation needs to be able to dry toward the air-conditioned interior in order to keep the foundation-sill dry enough to avoid rot, which it can do through an inch of unfaced XPS or closed cell spray foam. If there's a history of partial flooding of the basement, only extend the batts down to the high-water mark. The interior gypsum can be painted with latex (which is semi vapor-permeable), but avoid oil paints or vinyl/foil wallpapers, or it can be left unpainted. The XPS on the wall reduces the rate of moisture reaching the studwall from capillary draw and vapor diffusion thereby protecting it from ground moisture, as long as you don't block the drying path at the gypsum layer. Alternatively, you could use 2.5-3" of EPS (bead-board) instead of XPS as long as it has no facers on it, and use furring through-screwed to the foundation wall on which to attach the gypsum. An all-foam solution has the advantage of being tolerant of bulk-water incursions.
See Case 4, p49:
http://www.buildingscience.com/docu...y-analysis Note, Clemson is much warmer than the Minneapolis climate where the hygric analysis was done in that document, which is why you can get away with much less XPS without wintertime accumulation of moisture. Unfaced EPS is much more vapor permeable than XPS, but anything between 1.5" and 4" would work from a moisture point of view (but you're looking for R10+, which would mean 2.5" minimum for EPS.) Rigid foam with poly or foil facers MUST be avoided, or you'll risk rot the foundation sill.
By insulating the basement you're earth-coupling the house to the thermal mass of Clemson's nearly ideal ~65F deep subsoil temps, which for low and moderately well insulated house has benefit in both the heating & cooling seasons.
By air sealing both the basement and the attic you will reduce to near-zero the natural convection "stack effect" infiltration, and you will then have those leaky ducts within condioned space where the leakage does less harm. It's still worth trying to rectify the leakage wherever you can though. Duct-mastic is best, but if you must use tape, 2" aluminum FSK tape designed for ductwork is the best option. With leaking unbalanced ducts the air-handler drives air infiltration at higher rates than natural forces would otherwise. Having a professional air-sealing contractor fix all of the low-hanging fruit for air leaks in the whole house after you've dealt with the attic & basement further reduces the efficiency losses of leaking ductwork too (and is by far the most cost-effective way to reduce heating & cooling loads on most homes.)
With a high-R roof you may end up lowering the sensible cooling load to the point that you may need to run dehumidifier to keep the interior humidity at healthy levels in summer. In a moderately well sealed house setting up a room-dehumidifier in the basement set to keep the basement at 60% RH or less is usually enough to keep the (typically warmer) first floor at a very healthy 50% max. If it can be set up to drip-drain into a sump or basement-sink it won't require manual dumping of the water, just seasonal cleaning of it's filters, etc.
Bottom line, foam is an expensive way to go high-R, but is useful for adjusting the moisture profiles of the assembly. In your mixed climate a little foam goes a long way, so when looking at maximizing insulation dollars, use the foam primarily for air-sealing and vapor control, let cheap fiber do the heavy lifting on R value. Sprayed/blown fiber nearly always performs to spec, batts only do if installed perfectly, and stay at moderate temperature ranges, so blown fiber is worth paying a moderate premium for, but often is pretty close to batts cost-wise, and foam NEVER is. Cellulose is usually the $/R value-leader for blown/sprayed fiber.