Hey @josemo, let me see if I can help bring clarity to your question.
To calculate the U-value of a wall in elevation, you’ll need the dimensions of the wall, dimensions of any penetrations (doors and windows) in the wall, and the R or U values for the wall assembly and door/windows.
Let’s start with the formula we’ll need to accomplish this: U-value = 1 / (sum of all R-values).
Not all assemblies will cover the same amount of space on the building, however, so we’ll need to multiply the various assemblies based on the percentage of area on the elevation. For example, if we have a 12’ x 40’ wall, with a 3’ x 7’ door, and two 2’ x 3’ windows, we’d calculate the area as follows:
- Total elevation area = 12’ x 40’ = 480 SF
- Total area of the door = 3’ x 7’ = 21 SF
- Total area of windows = 2 (2’ x 3’) = 12 SF
- Total area of the wall assembly = elevation area - penetrations = 480 SF - 21 SF - 12 SF = 447 SF
Total percentage of area of each element:
- (Door area / total elevation area) x 100 = (21 SF / 480 SF) x 100 = 4.375%
- (window area / total elevation area) x 100 = (12 SF / 480 SF) x 100 = 2.5%
- (wall assembly / total elevation area) x 100 = (447 SF / 480 SF) x 100 = 93.125%
To double check your math, the total percentages should equal 100%. 4.375% + 2.5% + 93.125% = 100%. As a note, if you come across a question that gives you uneven numbers, or numbers with many trailing decimals, check the question verbiage for how many decimals to round to, and use this as a guide for rounding numbers in your calculations.
Next, if the question doesn’t give R values for each element, calculate the R-values for each assembly with information in the question text. Multiply the R-values of the assemblies by the percentage of the elevation to find their effective insulating value as part of the elevation. For example, if we were given the wall assembly = R-12, the door = R-6, and the windows = R-8, our calculations would be as follows:
- R-value of door per elevation = 6 x 0.04375 = 0.2625
- R-value of windows per elevation = 8 x 0.025 = 0.2
- R-value of wall assembly per elevation = 12 x 0.93125 = 11.175
Add the R-values together to determine the sum. 0.2625 + 0.2 + 11.175 = 11.6375.
To determine the U-value of the assembly, we return to the original formula of U = 1 / sum of R-values. U = 1 / 11.6375. U = 0.08592911, or approximately, 0.086.
Does that help answer your question?