The trick in heat flow calculations is you can't pro-rate R-value. Take the example of a wall that's 90% R-30 insulated and 10% single pane glass, which is only R 0.14. The pro-rated average would be R 27.015, but would be completely incorrect.
The U-factor is a measure of heat flow and is basically 1/R. 90% of the wall at R-30 passes only 1/30 BTU/Degree_F/Square Foot. 10% of the wall at R-0.14 passes 1/0.14 or 7 BTU/Degree_F/Square Foot. So the composite average is (90% x 1/30) + (10% x 1/0.15) = 0.74. Convert this back to R-value and you find the whole wall system gets R=1.34. Almost all the heat gain/loss is through the glass- it wouldn't matter much whether the wall insulation were R5 or R500.
bobhenry wrote:...
We were discussing this over on Tearjerkers forum here is my spin on R value of 2 different wall styles.............
Panel #1 is a stick built panel w/3/4" Styrofoam insulation consisting of;
2 sheets of 1/4" plywood .31 ea .62 R
32sq foot of 3/4 Styrofoam 20.4 sq ft 3.75 x .64 = 2.4
7. 8' 1X3's 11.6 sq ft .93 x .36 = .3348
so your composit 1x3 and foam wall is 2.735
Wall #1 total "r" value is 3.355 ...
But again, you can't average R-values. The stick built panel is 1/4" plywood on each side with flat 1x3's covering 11.6 square feet or 36% of the area, and 3/4" foam covering 20.4 square feet or 64% of the area.
Ply+foam+ply gets R0.31 + R3.75 + R0.31 = R4.37; U-factor is 1/4.37
Ply+"1x"+ply gets R0.31 + R0.93 + R0.31 = R1.55; U-factor is 1/1.55
Combined U-factor is: (64% x 1/4.37) + (36% x 1/1.155) = 0.46;
Combined or "total" R-value is R-2.2 bobhenry wrote:Panel #2 is a solid sheet of 1/2" plywood with a foam backed rug glued to one side consisting of;
1 sheet of 1/2" plywood .63
32 sq foot of foam backed rug 1.23 (see note)
wall #2 total "r" value is 1.86 ...
Since the rug is continuous, the added R-value is correct for this wall. Go with a bit thicker foam backing and the wall exceeds the stick-panel. Or conversely, with a stick panel work to minimize the percentage that's solid wood. If you do 4/4" x 3/4" strips instead of 1x3 you would reduce the solid wood from 36% to 14%, and the combined R-value would go up from R-2.2 to R-3.1, and you would save some weight as well.
Doing a bit of googling for "carpet pad R-value" I found that thin foam rubber pads get low values that you quoted, thick fiber mats get higher, but thick (1/2") urethane or eva foam pads are over R-2 (for the pad alone). So the basic 1/2" plywood wall with a good, soft foam pad is quite well insulated, easy to build, and cozy.
One caveat is that if you have porous insulation on the inside (carpet, open cell foam, or fiber pads), on a cold night moisture vapor will migrate through and condense against the inside of your plywood. Maybe not a big deal if you can thoroughally dry out the trailer during the day, but something to consider.
bobhenry wrote:All info above subject to change by a resident thermal engineer ! Just my good guess based on my cheat sheet info.
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I'm not a thermal engineer, but I do have to work with numbers all day and they aren't always what they seem. I studied up on heat calc's when I was trying to convince my dad to not go "stick built" with the two homes he's building right now. I failed though- he did 2x6 on 16".