Posted By jmagill on 12 Sep 2011 04:54 PM
It is a blank slate right now. The upstairs of a gambrel barn. Not insulated yet. Steel barn, wood floor that will get 4 inches of blue board between the plywood decking and finished floor. We will be using one(maybe 2) inches of blue board on all all walls and ceilings and then blown in celulose (that is the plan right now.) Only windows on the north wall, double pane clad (Kolbe I think but not sure).
This will be an art studio.
Down stairs will be unheated.
Independently of whether the blue board is on the interior of the cellulose that may not be sufficient R (or vapor retardency) to be fully protective from moisture drives. This is climate, stackup, and total-R dependent, and may need some adjustment for your actual location.
Air leakage at windows can be large loss factor in high-R buildings. Using windows that don't open makes it tighter, as does using casements or awning windows rather than single/double-hungs or sliders. Casements & awnings also provide the greatest amount of egress area per unit area of glass too.
Taking a rough cut at the heat load:
At -30F outdoors, 70F indoors, 100 square feet of U-0.30 low-E window represents a heat loss of 3000BTU/hr, not counting air infiltration.
Then, assuming you get a true R40 out of it, 800 square feet of ceiling/roof is worth another 2000BTU/hr.
With R20 under the floor, and assuming the lower part of the barn doesn't drop below -10F on -30F night (a big assumption), the floor with it's 4" of XPS is another 3200BTU/hr.
Assuming an average wall height of 10' and a 20x40' footprint for ~1200' of wall, and assuming you can get about R30 out of it, that's another ~4000BTU/hr.
That addsl up to ~12-13K, before infiltration & ventilation losses- call it 15KBTU/hr, which is supportable by 3.5kw of electric baseboard.
If it's ~15K @ -30F, 0F you'd be looking at 10-11K, which a 1.5 ton mini-split could keep up with reasonably efficiently, and still provide 100% of the heat all the way down to -5F or -10F or wherever the particular unit's low-temp operating limit is.
But you have to be sure the R/U values are designed & built into it correctly- thermal bridging of joists & studs robs the assembly of a significant amount of thermal performance. For a good primer on high-R walls see:
http://www.buildingscience.com/docu...gh-r-wallsLook at table-3, p 13. Your wall stackup seems most-similar to case 2a & b, with perhaps different foam thicknesses. Even though case 2b has a center-cavity R of ~ R40, as would 4" of foam with a 2x6 cellulose cavity fill wall, it's actual whole-wall (all thermal bridging of the framing factored in), is only R34. If you go thinner foam, thicker cellulose retaining a R40 center-cavity value, the thermal bridging of the studs/joists will be higher than in the examples cited, and the whole-wall R even lower.