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Instrument · 03

Assembly U-Value Builder

Stack the layers of a wall, roof or floor from your wall section, mark the one the studs interrupt, and watch MEEB Example 9.2's parallel-path arithmetic written out with your numbers in it — plus the temperature at every interface, so you can see where the wall gets cold enough to condense.

The assembly · outside to inside

#Layerin.RBridged

Your wall is nothing like the examples? Start from scratch: it keeps only the two air films. Add your layers from outside to inside — each new one goes in just inside the last, ahead of the inside film — then tick Bridged on the layer the studs interrupt.

R in h·ft²·°F/Btu. Thickness only matters for per-inch materials. Pick Custom to name a layer, type its R from your product data, choose how it is drawn, and give its source — the name and source go into the assumptions-log line. Values marked typical are MEEB Tables E.1, E.3 and E.4 — check the table for your exact product.

The framing · the layer marked Bridged

25%

Softwood at R 1.24 per inch (MEEB Ex. 9.2). ASHRAE 90.1 Appendix A assumes about 25% framing for 16 in. o.c. and 22% for 24 in. o.c., counting plates, sills and headers. MEEB's example uses 12%, which is studs alone.

Conditions · for the gradient and the code check

Outside defaults to Detroit Metro's 99.6% heating design dry-bulb, 3.2 °F (TMYx, 2025 ASHRAE). Detroit is climate zone 5A, the same zone as MEEB's Indianapolis example.

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ΣR · through insulation
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ΣR · through framing
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U · Btu/h·ft²·°F
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vs. code maximum
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#Layer · outside to insideR°F out → in
Section, outside on the left · layer widths to scale, numbered as in the layer table · the magenta line is the temperature through the insulation path, dropping across each layer in proportion to its R (MEEB Ex. 9.5, after Fig. 9.11) · dashed line is the indoor air's dew point · magenta blocks = the studs
The calculation · MEEB §9.3(e) · Examples 9.1 and 9.2

For the assumptions log
§ 01

What to watch for

Four things the layer table makes obvious that the formula alone does not.

Load MEEB Example 9.2 and read the third line

Then work the same wall in SI and convert. The two must agree.

Through the framing, 1 ÷ 10.25 = 0.098; weighted at 12%, the wall comes out at 0.051 — and MEEB's SI solution, 0.291 W/m²·K ÷ 5.678, gives the same. The framing costs about 14% over the 0.045 you get by ignoring it. This is the Verifier's whole job in one line: a number you can check beats a number you were given.

Average the U's, never the R's

Set the framing fraction to 25% and compare two arithmetics.

Heat takes both paths at once, so the paths add as conductances: U = 0.75·Uins + 0.25·Uframe. Averaging the resistances instead (0.75·Rins + 0.25·Rframe) always flatters the wall, because it lets the insulation vote on the stud's share. LV 1's tolerance is set so that the R-averaged answer falls outside it.

Switch the method to steel

Same batt, same depth, and the U-value climbs by half.

MEEB §9.3(e): a 2×4 wood wall with R-13 is U 0.094; the same wall on steel studs is 0.134, "equivalent to an R-3 decrease in insulation." Continuous insulation outboard of the studs is the fix, and the reason Zone 5 code walls on steel need it to reach 0.064. And the batt still matters: the effective R is the batt's value after the steel has taken its share, so leaving the cavity empty costs you that too.

Raise the indoor RH to 40% and watch the dashed line

The first interface colder than the dew point is where the wall gets wet — unless a vapor retarder stops the vapor before it gets there.

MEEB §9.4(b): in a cold climate the retarder goes as close to the warm side as possible, because the indoor air is the source. The gradient here assumes the indoor vapor reaches every layer; the drawing is telling you why it must not. Move the insulation outboard (Orenco preset) and the sheathing warms up — that is the other cure.

§ 02

What it computes

Each layer contributes R = thickness × R-per-inch, or a fixed R for films, air spaces and batts. Through the insulation, ΣRins is the sum of every layer; Uins = 1 ÷ ΣRins. Through the framing, the bridged layer's R is replaced by the stud's R (softwood at 1.24 per inch) and Uframe = 1 ÷ ΣRframe. The area-weighted U = (1 − f)·Uins + f·Uframe, MEEB Example 9.2. For steel studs the bridged layer (the cavity insulation) and the studs around it count together as one effective R from ASHRAE 90.1 Appendix A, and there is one path. The effective R exists because the cavity is insulated; it is not what the steel leaves when the insulation is removed. The gradient (Example 9.5) puts the temperature at each interface at Tin − Δt × (R accumulated from inside ÷ ΣRins). Dew point from the indoor dry-bulb and RH by the Magnus approximation. Imperial throughout; ÷ 5.678 turns W/m²·K into Btu/h·ft²·°F.

Glass. You can stack panes and a sealed gap as custom layers, and the Builder will show you why double glazing is warmer on the room side. What it gives you is a center-of-glass U. The window's heat loss uses the whole-unit U from the NFRC label, MEEB Fig. 9.15 or Table E.15, because the frame and the edge spacer raise it, a lot on a steel frame without a thermal break. When it sees glass, the Builder compares against the Zone 5 window line (0.35), and it checks condensation only on the room-side face of the glass, because room air cannot reach the surfaces inside a sealed unit.

It does not do windows (NFRC whole-unit U-factors, §9.5), slab edges (F2 per foot of perimeter, §9.3(f)) or below-grade walls — those are single numbers you look up, and MEEB Chapter 9 says where.