All statements without guarantee

Roof construction Roof construction

created on 24.5.2020

Thermal protection Moisture proofing Heat protection

No condensate Temperature amplitude damping: 1,3
U = 0,17 W/(m²K) phase shift: 3,5 h
Thermal capacity inside: 5,7 kJ/m²K
EnEV Bestand*: U<0,24 W/(m²K)

excellent insufficient excellent insufficient excellent insufficient

6
10 4 5

150
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3
241

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80 2
1

80 600

1 bariera vapori 4 asteriala din lemn (10 mm) 7 Roofing tiles

2 vata minerala (80 mm) 5 membrana respiranta
3 vata minerala (150 mm) 6 Rear ventilated level

Impact of each layer and comparison to reference values

For the following figure, the thermal resistances of the individual layers were converted in millimeters insulation. The scale
refers to an insulation of thermal conductivity 0,035 W/mK.

asteriala din lemn Equivalent

insulation thickness
vata minerala caprior, vata minerala (WLS 035)

0 20 40 60 80 100 120 140 160 180 200 220 240 260 280 300 320 mm

08 Ti 5 ,2 au ,15 MV 40 0,1
41 ige 0,2 =0 W ub =0 n W =
IN r U= tand au U G B N s U ESa n.
e f sU
5
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Be u b
rm 1 a u aß ub
a ha
tzV nd V Ne Wä EV er-H lm 5
Ne siv
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Inside air : 20,0°C / 50% Thickness: 37,4 cm

Outside air: -15,0°C / 50% sd-value: 11,2 m Weight: 69 kg/m²
Surface temperature.: 19,3°C / -14,8°C Heat capacity: 24 kJ/m²K

*Comparison to the maximum U-value according to the german EnEV 2014/2016 for first-time installation or renewal of Decken, Dächer und Page 1
Dachschrägen (Anlage 3, Tabelle 1, Zeile 4a).
 All statements without guarantee

Roof construction, U=0,17 W/(m²K)

Temperature profile
Temperature profile
20 Temperature
15 1 2 3 4 Dew point
5
10 6 7
Temperature [°C]

5
0
-5
-10
-15 www.ubakus.de
-20

0 50 100 150 200 250 300 350 400

Inside 0°C [mm]
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Outside 80 600

1 bariera vapori 4 asteriala din lemn (10 mm) 7 Roofing tiles

2 vata minerala (80 mm) 5 membrana respiranta
3 vata minerala (150 mm) 6 Rear ventilated level

Left:Temperature and dew-point temperature at the place marked in the right figure. The dew-point indicates the
temperature, at which water vapour condensates. As long as the temperature of the component is everywhere above the dew
point, no condensation occurs. If the curves have contact, condensation occurs at the corresponding position.
Right: The component, drawn to scale.

Layers (from inside to outside)

# Material λ R Temperatur [°C] Weight
[W/mK] [m²K/W] min max [kg/m²]
Thermal contact resistance* 0,100 19,3 20,0
1 0,05 cm bariera vapori 0,220 0,002 19,2 19,5 0,1
2 8 cm vata minerala 0,035 2,286 1,1 19,5 1,6
3 15 cm vata minerala 0,035 4,286 -14,5 7,6 2,6
15 cm caprior (12%) 0,130 1,154 -13,6 2,1 7,9
4 1 cm asteriala din lemn 0,130 0,077 -14,8 -13,5 4,5
5 0,05 cm membrana respiranta 0,500 0,001 -14,8 -14,5 0,4
Thermal contact resistance* 0,100 -15,0 -14,5
6 Rear ventilated level (outside air) -15,0 -15,0 0,0
7 Roofing tiles (clay) -15,0 -15,0 51,5
37,4 cm Whole component 6,043 68,7
*Assuming free circulating air at the inside surface.
Surface temperature inside (min / average / max): 19,3°C 19,4°C 19,5°C
Surface temperature outside (min / average / max): -14,8°C -14,8°C -14,5°C

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 All statements without guarantee

Roof construction, U=0,17 W/(m²K)

Moisture proofing
For the calculation of the amount of condensation water, the component was exposed to the following constant climate for
90 days: inside: 20°C und 50% Humidity; outside: -15°C und 50% Humidity (Climate according to user input).
This component is free of condensate under the given climate conditions.

# Material sd-value Condensate Weight

[m] [kg/m²] [Gew.-%] [kg/m²]
1 0,05 cm bariera vapori 10,00 - 0,1
2 8 cm vata minerala 0,08 - 1,6
3 15 cm vata minerala 0,15 - 2,6
15 cm caprior (12%) 7,50 - - 7,9
4 1 cm asteriala din lemn 0,50 - - 4,5
5 0,05 cm membrana respiranta 0,05 - 0,4
37,4 cm Whole component 11,19 68,7

Humidity

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Die Oberflächentemperatur der Wandinnenseite beträgt 19,3 °C was zu einer relativen Luftfeuchtigkeit an der Oberfläche von
52% führt. Mould formation is not expected under these conditions.
The following figure shows the relative humidity inside the component.

100 Relative humidity (%)

1 2 3 4 saturation point
90
5
80
Relative humidity (%)

6 7
70
60
50
40
30
20 www.ubakus.de
10
0
0 50 100 150 200 250 300 350 400
Inside 0°C [mm]
www.ubakus.de Outside 80 600

1 bariera vapori 4 asteriala din lemn (10 mm) 7 Roofing tiles

2 vata minerala (80 mm) 5 membrana respiranta
3 vata minerala (150 mm) 6 Rear ventilated level

Notes: Calculation using the Ubakus 2D-FE method. Convection and the capillarity of the building materials
were not considered. The drying time may take longer under unfavorable conditions (shading, damp / cool
summers) than calculated here.

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 All statements without guarantee

Roof construction, U=0,17 W/(m²K)

Heat protection
The following results are properties of the tested component alone and do not make any statement about the heat protection
of the entire room:

Temperature profile
This document has been generated by the U-value calculator on www.ubakus.de. If you are harmed by the free use of these contents, the service provider is only liable in case of

36 Temperature at 3pm, 11am and 7am

34 1 2 3 4 Temperature at 7pm, 11pm and 3am
intent and gross negligence on the part of the service provider. For further information, please refer to the terms and conditions at https://www.ubakus.de/agb

32 5
6 7 1 bariera vapori
30
Temperature [°C]

28 2 vata minerala (80 mm)

26 3 vata minerala (150 mm)
24 4 asteriala din lemn (10 mm)
5 membrana respiranta
22
6 Rear ventilated level
20
7 Roofing tiles
18

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16
14
0 50 100 150 200 250 300 350 400
Inside [mm]
www.ubakus.de Outside

[°C] The surface temperature during the day

36 Outside
34 Inside
32
30
28
26
24
22
20
18
16
14 Phase shift: 3.5h
12 14 16 18 20 22 24 2 4 6 8 10 12
[time of day]
Top:Temperature profile within the component at different times. From top to bottom, brown lines: at 3 pm, 11 am and 7 am
and red lines at 7 pm , 11 pm and 3 am.
Bottom:Temperature on the outer ( red ) and inner ( blue ) surface in the course of a day. The arrows indicate the location of
the temperature maximum values . The maximum of the inner surface temperature should preferably occur during the
second half of the night.

Phase shift* 3,5 h Heat storage capacity (whole component): 24 kJ/m²K

Amplitude attenuation ** 1,3 Thermal capacity of inner layers: 5.7 kJ/m²K
TAV *** 0,759
* The phase shift is the time in hours after which the temperature peak of the afternoon reaches the component interior.
** The amplitude attenuation describes the attenuation of the temperature wave when passing through the component. A value of 10
means that the temperature on the outside varies 10x stronger than on the inside, e.g. outside 15-35 °C, inside 24-26 °C.
*** The temperature amplitude ratio TAV is the reciprocal of the attenuation: TAV = 1 / amplitude attenuation
Note: The heat protection of a room is influenced by several factors, but essentially by the direct solar radiation through windows and the
total amount of heat storage capacity (including floor, interior walls and furniture). A single component usually has only a very small
influence on the heat protection of the room.

The calculations presented above have been created for a 1-dimensional cross-section of the component.

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