WAC 51-11C-610226
WAC 51-11C-610226. Tables A102.2.6 — Assembly U-factors for roofs with insulation entirely above deck
Table A102.2.6(1)
Assembly U-factors for Roofs with Tapered Insulation Entirely Above Deck Single Slope Rectangular to One-side d,e,f,g,h
(Uninterrupted by Framing)
Rated R-value of Insulation at Maximum Condition (Rmax c ) 1 5 10 15 20 25 30 35 40 45 50 55 60 Rated R-value of insulation at a Minimum Condition (Rmin b ) 1 0.562 0.306 0.213 0.168 0.140 0.121 0.107 0.097 0.088 0.081 0.075 0.070 0.066 5 - 0.173 0.125 0.101 0.086 0.076 0.068 0.062 0.057 0.053 0.049 0.046 0.044 10 - - 0.093 0.076 0.066 0.058 0.053 0.048 0.045 0.042 0.039 0.037 0.035 15 - - - 0.063 0.055 0.049 0.045 0.041 0.038 0.036 0.034 0.032 0.030 20 - - - - 0.048 0.043 0.039 0.036 0.034 0.032 0.030 0.028 0.027 25 - - - - - 0.039 0.035 0.033 0.031 0.029 0.027 0.026 0.025 30 - - - - - - 0.032 0.030 0.028 0.026 0.025 0.024 0.023 35 - - - - - - - 0.028 0.026 0.025 0.023 0.022 0.021 40 - - - - - - - - 0.025 0.023 0.022 0.021 0.020 45 - - - - - - - - - 0.022 0.021 0.020 0.019 50 - - - - - - - - - - 0.020 0.019 0.018 55 - - - - - - - - - - - 0.018 0.017 60 - - - - - - - - - - - - 0.016
Rated R-value of Insulation at Maximum Condition (Rmax c )
1
5
10
15
20
25
30
35
40
45
50
55
60
Rated R-value of insulation at a Minimum Condition (Rmin b )
1
0.562
0.306
0.213
0.168
0.140
0.121
0.107
0.097
0.088
0.081
0.075
0.070
0.066
5
-
0.173
0.125
0.101
0.086
0.076
0.068
0.062
0.057
0.053
0.049
0.046
0.044
10
-
-
0.093
0.076
0.066
0.058
0.053
0.048
0.045
0.042
0.039
0.037
0.035
15
-
-
-
0.063
0.055
0.049
0.045
0.041
0.038
0.036
0.034
0.032
0.030
20
-
-
-
-
0.048
0.043
0.039
0.036
0.034
0.032
0.030
0.028
0.027
25
-
-
-
-
-
0.039
0.035
0.033
0.031
0.029
0.027
0.026
0.025
30
-
-
-
-
-
-
0.032
0.030
0.028
0.026
0.025
0.024
0.023
35
-
-
-
-
-
-
-
0.028
0.026
0.025
0.023
0.022
0.021
40
-
-
-
-
-
-
-
-
0.025
0.023
0.022
0.021
0.020
45
-
-
-
-
-
-
-
-
-
0.022
0.021
0.020
0.019
50
-
-
-
-
-
-
-
-
-
-
0.020
0.019
0.018
55
-
-
-
-
-
-
-
-
-
-
-
0.018
0.017
60
-
-
-
-
-
-
-
-
-
-
-
-
0.016
Table A102.2.6(2)
Assembly U-factors for Roofs with Tapered Insulation Entirely Above Deck Sloped Triangle (Roof with Center Drain) e,f,g,h,i
(Uninterrupted by Framing)
Rated R-value of Insulation at Maximum Condition (Rmax c ) 1 5 10 15 20 25 30 35 40 45 50 55 60 Rated R-value of insulation at a Minimum Condition (Rmin b ) 1 0.526 0.242 0.146 0.106 0.083 0.068 0.058 0.051 0.045 0.040 0.036 0.033 0.031 5 - 0.173 0.112 0.084 0.068 0.057 0.049 0.044 0.039 0.035 0.032 0.030 0.028 10 - - 0.093 0.071 0.059 0.050 0.044 0.039 0.035 0.032 0.029 0.027 0.025 15 - - - 0.063 0.053 0.045 0.040 0.035 0.032 0.029 0.027 0.025 0.023 20 - - - - 0.048 0.042 0.037 0.033 0.030 0.027 0.025 0.024 0.022 25 - - - - - 0.039 0.034 0.031 0.028 0.026 0.024 0.022 0.021 30 - - - - - - 0.032 0.029 0.027 0.025 0.023 0.021 0.020 35 - - - - - - - 0.028 0.026 0.024 0.022 0.021 0.019 40 - - - - - - - - 0.025 0.023 0.021 0.020 0.019 45 - - - - - - - - - 0.022 0.020 0.019 0.018 50 - - - - - - - - - - 0.020 0.018 0.017 55 - - - - - - - - - - - 0.018 0.017 60 - - - - - - - - - - - - 0.016
Rated R-value of Insulation at Maximum Condition (Rmax c )
1
5
10
15
20
25
30
35
40
45
50
55
60
Rated R-value of insulation at a Minimum Condition (Rmin b )
1
0.526
0.242
0.146
0.106
0.083
0.068
0.058
0.051
0.045
0.040
0.036
0.033
0.031
5
-
0.173
0.112
0.084
0.068
0.057
0.049
0.044
0.039
0.035
0.032
0.030
0.028
10
-
-
0.093
0.071
0.059
0.050
0.044
0.039
0.035
0.032
0.029
0.027
0.025
15
-
-
-
0.063
0.053
0.045
0.040
0.035
0.032
0.029
0.027
0.025
0.023
20
-
-
-
-
0.048
0.042
0.037
0.033
0.030
0.027
0.025
0.024
0.022
25
-
-
-
-
-
0.039
0.034
0.031
0.028
0.026
0.024
0.022
0.021
30
-
-
-
-
-
-
0.032
0.029
0.027
0.025
0.023
0.021
0.020
35
-
-
-
-
-
-
-
0.028
0.026
0.024
0.022
0.021
0.019
40
-
-
-
-
-
-
-
-
0.025
0.023
0.021
0.020
0.019
45
-
-
-
-
-
-
-
-
-
0.022
0.020
0.019
0.018
50
-
-
-
-
-
-
-
-
-
-
0.020
0.018
0.017
55
-
-
-
-
-
-
-
-
-
-
-
0.018
0.017
60
-
-
-
-
-
-
-
-
-
-
-
-
0.016
Table A102.2.6(3)
Assembly U-factors for Roofs with Tapered Insulation Entirely Above Deck Sloped Triangle (Roof with Perimeter Drains) e,f,g,h,i
(Uninterrupted by Framing)
Rated R-value of Insulation at Maximum Condition (Rmax c ) 1 5 10 15 20 25 30 35 40 45 50 55 60 Rated R-value of insulation at a Minimum Condition (Rmin b ) 1 0.562 0.242 0.146 0.106 0.083 0.068 0.058 0.051 0.045 0.040 0.036 0.033 0.031 5 - 0.173 0.122 0.084 0.068 0.057 0.049 0.044 0.039 0.035 0.032 0.030 0.028 10 - - 0.093 0.071 0.059 0.050 0.044 0.039 0.035 0.032 0.029 0.027 0.025 15 - - - 0.063 0.053 0.045 0.040 0.035 0.032 0.029 0.027 0.025 0.024 20 - - - - 0.048 0.042 0.037 0.033 0.030 0.027 0.025 0.024 0.022 25 - - - - - 0.039 0.034 0.031 0.028 0.026 0.024 0.022 0.021 30 - - - - - - 0.032 0.029 0.027 0.025 0.023 0.021 0.020 35 - - - - - - - 0.028 0.026 0.024 0.022 0.021 0.019 40 - - - - - - - - 0.025 0.023 0.021 0.020 0.019 45 - - - - - - - - - 0.022 0.020 0.019 0.018 50 - - - - - - - - - - 0.020 0.018 0.017 55 - - - - - - - - - - - 0.018 0.017 60 - - - - - - - - - - - - 0.016
Rated R-value of Insulation at Maximum Condition (Rmax c )
1
5
10
15
20
25
30
35
40
45
50
55
60
Rated R-value of insulation at a Minimum Condition (Rmin b )
1
0.562
0.242
0.146
0.106
0.083
0.068
0.058
0.051
0.045
0.040
0.036
0.033
0.031
5
-
0.173
0.122
0.084
0.068
0.057
0.049
0.044
0.039
0.035
0.032
0.030
0.028
10
-
-
0.093
0.071
0.059
0.050
0.044
0.039
0.035
0.032
0.029
0.027
0.025
15
-
-
-
0.063
0.053
0.045
0.040
0.035
0.032
0.029
0.027
0.025
0.024
20
-
-
-
-
0.048
0.042
0.037
0.033
0.030
0.027
0.025
0.024
0.022
25
-
-
-
-
-
0.039
0.034
0.031
0.028
0.026
0.024
0.022
0.021
30
-
-
-
-
-
-
0.032
0.029
0.027
0.025
0.023
0.021
0.020
35
-
-
-
-
-
-
-
0.028
0.026
0.024
0.022
0.021
0.019
40
-
-
-
-
-
-
-
-
0.025
0.023
0.021
0.020
0.019
45
-
-
-
-
-
-
-
-
-
0.022
0.020
0.019
0.018
50
-
-
-
-
-
-
-
-
-
-
0.020
0.018
0.017
55
-
-
-
-
-
-
-
-
-
-
-
0.018
0.017
60
-
-
-
-
-
-
-
-
-
-
-
-
0.016
Footnotes to Tables A102.2.6(1), A102.2.6(2), and A102.2.6(3): a R max and R min are determined along the linearly tapered cross section for the 6. respective minimum and maximum thickness values for the roof section being analyzed. For triangular roof sections. b R max refers to the insulation value along the long edge of the triangle and R min to the insulation at the point of the triangle which assumes that the insulation slopes to the center. c R max refers to the insulation value at the point of the triangle and R min to the insulation along the long edge of the triangle which assumes that the insulation slopes to the perimeter. d Effective U-factor for rectangular tapered insulation is calculated as follows:
Footnotes to Tables A102.2.6(1), A102.2.6(2), and A102.2.6(3):
a R max and R min are determined along the linearly tapered cross section for the 6. respective minimum and maximum thickness values for the roof section being analyzed. For triangular roof sections.
b R max refers to the insulation value along the long edge of the triangle and R min to the insulation at the point of the triangle which assumes that the insulation slopes to the center.
c R max refers to the insulation value at the point of the triangle and R min to the insulation along the long edge of the triangle which assumes that the insulation slopes to the perimeter.
d Effective U-factor for rectangular tapered insulation is calculated as follows:
R eff = R max – R min Ln[R max /R min ]
R eff
=
R max – R min
Ln[R max /R min ]
e Effective U-factor for triangular tapered insulation is calculated as follows: R eff = [2/(R max – R min ) [1 + (R min /R max – R min )ln(R min /R max )]] -1 f Assembly U-factors include an exterior air film (R=0.17) and an interior air film, horizontal with heat flow up (R=0.61). g For effective U-factors of roof assemblies with different R max or R min values not listed in the tables interpolation is allowed. h This table shall only be applied to tapered insulation that is tapered along only one axis. i In areas of differing insulation slopes/configurations, individual U-values shall be calculated and an area weighted U-value calculation shall be used to determine the effective value of the roof.
e Effective U-factor for triangular tapered insulation is calculated as follows:
R eff = [2/(R max – R min ) [1 + (R min /R max – R min )ln(R min /R max )]] -1
f Assembly U-factors include an exterior air film (R=0.17) and an interior air film, horizontal with heat flow up (R=0.61).
g For effective U-factors of roof assemblies with different R max or R min values not listed in the tables interpolation is allowed.
h This table shall only be applied to tapered insulation that is tapered along only one axis.
i In areas of differing insulation slopes/configurations, individual U-values shall be calculated and an area weighted U-value calculation shall be used to determine the effective value of the roof.