Semper Supra · useful information · thermal bridges

Thermal bridges and mould: why condensation forms in corners and what a thermal bridge costs

With the house at 20 °C and 50 % RH, mould can grow on any surface colder than about 12.6 °C (80 % RH right at the surface); at −5 °C outdoors that means every detail with a temperature factor fRsi below 0.70. An uninsulated balcony slab of 4 m with ψ ≈ 0.8 W/(mK) loses as much heat as 13 m² of the insulated wall around it (U 0.25 W/(m²·K)): 198 kWh a year in Bucharest, about €14. Below: a checker for any detail, a table of calculated typical details, ψ values with their sources, kWh and money a year for a 150 m² house, and what to do.

Checker · temperature factor · 80 % RH at the surface

Checker: will mould grow on this detail?

Temperatures · from outdoors to indoors

How cold the surface is: condensation, mould or no risk

condensationmouldno risksurface: 12.5 °C, 81 % RHoutdoors −5.0 °Cindoors 20.0 °Cdew point 9.3 °Cmould limit 12.6 °C
condensation: below the dew point, water on the wallmould: 80–100 % RH at the surfaceno risk: below 80 % RHthe detail’s surface

The bar is a temperature scale: the outdoor temperature on the left, the indoor one on the right. A wall surface always sits between them; the better insulated the detail, the further right the triangle. If the triangle lands in the orange zone, mould grows; in the red one, water forms on the wall.

Surface temperature12.5 °CfRsi 0.70; the mould limit is 12.6 °C
Humidity at the surface81 % RHthe room air, cooled at the surface
Dew point9.3 °Cbelow it water forms on the wall
Minimum factor needed0.70for these temperatures and 50 % RH

At the limit: the surface is at 81 % RH, right at the 80 % RH threshold. The standards’ fRsi 0.70 is this threshold, rounded.

With these indoor conditions the detail reaches 80 % RH from −4.6 °C outdoors downwards.

Choose the outdoor temperature, the indoor temperature and humidity, and the detail: either its temperature factor fRsi or the U-value of a plain wall (then fRsi = 1 − U · 0.25). The checker gives the surface temperature, the relative humidity right at the surface and the verdict: below 80 % RH no risk, from 80 % RH a mould risk, at 100 % RH condensation. Steady-state, as in EN ISO 13788; it ignores furniture, curtains and corners without air movement, which make the surface colder still.

Mould and condensation · where and why

Where mould appears and why

Mould needs damp, not water running down the wall: it grows where the relative humidity right at the surface stays above 80 % RH for days. Room air cools next to a cold surface and its relative humidity rises; with 20 °C and 50 % RH in the room, a surface reaches 80 % RH at 12.6 °C and 100 % RH, the dew point, at 9.3 °C. The dew point is explained on the page on relative and absolute humidity. The cold spots of a house are its thermal bridges: places where heat escapes more easily than through the rest of the wall.

Why mould grows in the corner of a room

The corner between two outside walls is a geometric thermal bridge: inside it has a small surface that receives heat, outside a large one that loses it. In an old uninsulated wall the corner has fRsi ≈ 0.61: at −5 °C outdoors, 10.3 °C on the surface and 94 % RH. The same corner insulated outside has fRsi ≈ 0.86 and stays dry. Corners at the floor and at the ceiling under a cold attic are colder still, because three surfaces meet there.

Mould on window reveals: causes

The reveal is the thin strip of wall between the window and the facade. When the window sits in the middle of the wall and the facade insulation stops at the edge of the opening, heat bypasses the frame through the reveal. Without reveal insulation the calculation gives fRsi ≈ 0.71, at the mould limit at 20 °C and 50 % RH; with 3 cm of insulation on the outer reveal, 0.83. The concrete lintel above the window and the sill below behave the same way.

The plinth, the balcony and the roof junction

The plinth (the bottom of the wall, next to the ground) is cold when the facade insulation stops above ground and the concrete footing links the warm slab to the cold ground: fRsi ≈ 0.53 in this page’s calculation. A concrete balcony slab passes through the insulation like a cooling fin; a concrete ring beam or cornice at the roof junction does the same unless the insulation wraps it.

Mould behind furniture

A wardrobe against an outside wall keeps the warm air away from the wall: the surface behind it is a few degrees colder than the rest of the wall, even without a thermal bridge. The checker above computes the open wall; behind furniture and heavy curtains reality is colder.

Temperature factor · 80 % RH · 12.6 °C

The temperature factor fRsi

fRsi says how warm a detail stays on the inside, whatever the weather: 1 means the surface is at room temperature, 0 that it is at the outdoor temperature.

What is fRsi

fRsi = (θsi − θe) / (θi − θe) where θsi is the lowest inside surface temperature, θi the indoor and θe the outdoor temperature. For a plain wall with no thermal bridge, θsi = θi − U · Rsi · (θi − θe), so fRsi = 1 − U · Rsi. An old wall with U 1.2 W/(m²·K) has fRsi = 0.70: at −5 °C outdoors and 20 °C indoors, 12.5 °C on the surface. A Passive House wall with U 0.15 has 0.96: 19.1 °C. For shaped details (corners, reveals, balconies) fRsi is computed numerically, to EN ISO 10211.

Why Rsi 0.25 and not 0.13

Rsi is the resistance of the air layer against the wall on the inside. For heat loss (the design U-value) 0.13 m²·K/W is used. For the mould check EN ISO 13788 and DIN 4108-2 require 0.25 m²·K/W: in corners, behind furniture and curtains the air moves less and the surface is colder than 0.13 suggests.

The 80 % RH and 12.6 °C limit

Mould is taken as possible when the relative humidity at the surface reaches 80 % RH (EN ISO 13788; per Passipedia, for 12 hours a day). DIN 4108-2 does the sum with 20 °C and 50 % RH indoors and −5 °C outdoors: the surface must stay above 12.6 °C, that is fRsi ≥ 0.70 (Passipedia, thermal bridges). The owner of this site designs houses at 23 °C in winter: with 23 °C and 50 % RH the limit rises to 15.5 °C and the minimum fRsi at −5 °C becomes 0.73, slightly stricter.

The Passive House criterion: fRsi ≥ 0.70

The Passive House Institute requires fRsi ≥ 0.70 with Rsi 0.25 for components certified for the cool-temperate climate (Romania’s), the “hygiene” criterion (PHI, criteria for opaque construction systems). That is a separate thing from the comfort criterion for windows, which limits the installed window U-value so there is no cold draught by the glass.

Table · −5 °C outdoors · 20 °C and 50 % RH indoors

Typical details: where mould grows

Eleven details at −5 °C outdoors and 20 °C with 50 % RH indoors. The plain walls from the formula; the others from a 2D calculation made for this page, to EN ISO 10211, on typical sections described under Method. They are typical values, not a calculation of your house: the same detail can come out better or worse with other materials and dimensions.

DetailfRsiSourceSurfaceRH at the surfaceVerdict
Old uninsulated wall, U 1.20.70formula, 1 − U · 0.2512.5 °C81 % RHat the limit
Thinly insulated wall, U 0.60.85formula, 1 − U · 0.2516.3 °C63 % RHno risk
nZEB wall, U 0.250.94formula, 1 − U · 0.2518.4 °C55 % RHno risk
Passive House wall, U 0.150.96formula, 1 − U · 0.2519.1 °C53 % RHno risk
Corner of two old uninsulated walls0.612D calculation on this page10.3 °C94 % RHmould
Corner of two insulated walls0.862D calculation on this page16.6 °C62 % RHno risk
Window reveal without insulation0.712D calculation on this page12.7 °C80 % RHat the limit
Window reveal with 3 cm of insulation0.832D calculation on this page15.7 °C66 % RHno risk
Uninsulated balcony slab, insulated wall0.792D calculation on this page14.8 °C70 % RHno risk
Plinth without insulation, insulated wall0.532D calculation on this page8.2 °C100 % RHcondensation
Plinth insulated 0.9 m below ground0.772D calculation on this page14.4 °C71 % RHno risk

Mould limit: 12.6 °C (fRsi 0.70); dew point: 9.3 °C. The 2D calculation uses 1–2 cm cells; halving them changes fRsi by at most 0.01.

What to do · construction and use

What to do

Condensation on walls in winter: what to do

Two levers: a warmer surface and drier air. On the construction side, insulation outside, continuous over the detail: around the corner, along the reveal up to the frame, over the ring beam and cornice, down the plinth below ground level. On the use side: keep indoor humidity between 40 and 55 % RH (heat recovery ventilation, see the ventilation calculator, or short airing several times a day), keep wardrobes off outside walls, heat every room and do not leave bedrooms cold with the door shut.

Fixes for corners and reveals

The corner of an old wall is solved only by insulating outside; insulating inside moves the problem to the junctions with floors and internal walls. At the window: 3–4 cm of insulation on the outer reveal, with the frame set as close to the insulation as possible, and for new windows the frame set in the plane of the insulation.

Balcony thermal bridge: solutions

In a new house the balcony stands on its own posts or is tied to the slab through a structural thermal break, which carries the load through stainless steel bars and insulation instead of concrete. In an existing house the slab is wrapped in insulation on all faces, at least for the first metre next to the wall.

The plinth

The facade insulation continues down the plinth in a material that tolerates damp (extruded polystyrene), at least 0.5–1 m below ground. In this page’s calculation fRsi rises from 0.53 to 0.77 with the insulation taken down 0.9 m.

Thermal bridges · ψ · W/(mK)

What a thermal bridge is and what ψ is

A thermal bridge is a linear (an edge, a junction) or point-like part of the envelope where heat escapes more easily than through the elements next to it.

What is a thermal bridge

Thermal bridges are geometric (corners, where the shape makes the outer surface larger than the inner one), structural (concrete, steel or masonry passing through the insulation: balconies, ring beams, lintels, footings) and installation bridges (the window frame against the insulation). They do two things: a colder inside surface (mould, Part A) and extra heat loss (Part B).

What ψ is

ψ (psi), the linear thermal transmittance, in W/(mK): how many watts each metre of thermal bridge loses for every degree between inside and outside, on top of what the walls next to it lose. The loss a year: Q = ψ · l · Gt with l the bridge length in m and Gt the heating-season degree hours in kKh. For Bucharest, the site’s typical year gives Gt = 61.9 kKh to 20 °C (172 days averaging 12 °C or less).

How to calculate a thermal bridge

ψ is computed numerically to EN ISO 10211: the section of the detail is divided into small cells, each with its material’s conductivity, and the heat flow is solved. From the total flow you subtract U · length for the walls next to the detail; what is left is ψ. EN ISO 14683 gives simplified methods and higher default values for when there is no calculation.

External dimensions and negative ψ

ψ depends on how the walls are measured. PHPP (the Passive House planning tool) measures outside, so at a corner the area in the calculation is larger than the area heat actually flows through and ψ comes out negative: −0.56 W/(mK) at the corner of the old walls, −0.09 at the insulated corner, in this page’s calculation. With internal dimensions a corner has a positive ψ (the SAP 10 default: 0.18). Use the values below only with their own convention.

Thermal-bridge-free Passive House: what it means

The Passive House Institute calls a detail “thermal bridge free” when ψ ≤ 0.01 W/(mK), with external dimensions (Passipedia; PHI criteria). The loss through details is then negligible and, offset by the corners with negative ψ, can be left out of the balance. Passipedia reports that without this care the remaining thermal bridges added up to 14 kWh/(m²·a) to the heating demand in real projects.

Table · typical ψ values · sources

Typical ψ values

DetailDefault without mitigationImproved detailCalculated on this pageSources
Balcony slab through the insulation1.00 · 0.820.31 (ASHRAE, default)0.64SAP 10, Table K1 · ASHRAE 90.1, Table A10.1
Floor slab or ring beam at the wall0.820.31; 0.14 (SAP, within a dwelling)—ASHRAE 90.1 · SAP 10
Ground slab at the plinth0.32 (SAP, default)——SAP 10, Table K1
Window: jamb, sill0.10 · 0.330.23 (ASHRAE, default)—SAP 10 · ASHRAE 90.1
Steel or concrete lintel1.00 (SAP, default)——SAP 10, Table K1
Eaves, roof junction0.87 · 0.12–0.150.17 (ASHRAE, default)—ASHRAE 90.1 · SAP 10
External corner0.18 (SAP, internal dims.)—−0.56 · −0.09 (external dims.)SAP 10, Table K1
Passive House criterion—≤ 0.01—Passipedia · PHI

All in W/(mK). SAP 10 (the UK energy rating method, Table K1) gives default values for unchecked details. ASHRAE 90.1 (Table A10.1, mass construction insulated outside) gives an “unmitigated” value and a default for improved details; converted from Btu/(h·ft·°F) with 1.7307. The values calculated on this page use external dimensions, as PHPP does.

Table · kWh and money a year · Bucharest

What a thermal bridge costs

The thermal bridges of a typical 150 m² two-storey house in Bucharest, with example ψ values chosen within the ranges above: “typical” is an insulated house without care for the details, “bridge-free” one with the details solved. Gt = 61.9 kKh; heat from a condensing gas boiler (efficiency 92 %), gas at €0.065/kWh (the cost calculator’s prices of , converted at the BNR rate of 5.3495 lei/€ on 28 October 2026). “m² of wall” shows how many square metres of insulated wall with U 0.25 W/(m²·K) lose as much.

Thermal bridgeLengthψ, W/(mK): typical → bridge-freekWh/yr, typicalkWh/yr, bridge-free€/yr, typicalm² of wall, typical
Balcony slab4 m0.80 → 0.011982€1413 m²
Ground slab edge at the plinth40 m0.50 → 0.051,238124€8880 m²
Window perimeter30 m0.10 → 0.0218637€1312 m²
Eaves (wall–roof junction)40 m0.20 → 0.0249550€3532 m²
Total114 m2,117213€151137 m²

The difference between the two houses: 1,904 kWh a year, about €135 a year. For a 150 m² house that is 12.7 kWh/(m²·a) more heating demand; a Passive House is allowed at most 15 kWh/(m²·a) in all. The wall calculator gives the U-value of your walls.

Calculator · ψ · length · city

Work out the thermal-bridge loss of your house

Enter the length and ψ of each thermal bridge. The yearly loss is ψ × length × degree hours; the cost, with gas and a condensing boiler. The starting values are those of the typical house in the table above.

Thermal bridgeLength, mψ, W/(mK)kWh a yearCost a year
Balcony slab198€14
Ground slab edge at the plinth1,238€88
Window perimeter186€13
Eaves (wall–roof junction)495€35
Total2,117€151

Total 2,117 kWh a year, as much as 137 m² of insulated wall (U 0.25) loses; gas at €0.065/kWh, efficiency 92 %.

PHPP · certification · EN ISO 10211

Thermal bridges in PHPP and certification

In PHPP each thermal bridge enters the energy balance as ψ × length, next to U × area for the walls, roof, floor and windows, with external dimensions. For Passive House certification the details must either meet ψ ≤ 0.01 W/(mK) (certified systems or calculation) or be calculated and entered with their own ψ; either way fRsi ≥ 0.70 at Rsi 0.25 for Romania’s climate. Semper Supra calculates a project’s critical details (balconies, plinth, windows, the roof junction) to EN ISO 10211 as part of the PHPP model: ψ for the balance and fRsi for mould. See Semper Supra’s services.

Frequently asked questions

Thermal bridges and mould, in short

Why is there mould in the corner of my room?

Because the corner of an outside wall is colder than the rest of the wall: outside it loses heat through a larger surface than it receives it through inside. In an old uninsulated wall the corner has fRsi ≈ 0.61: with −5 °C outdoors and 20 °C and 50 % RH indoors, 10.3 °C on the surface and 94 % RH, above the 80 % RH mould limit.

What causes mould on window reveals?

Facade insulation that stops at the edge of the opening, a frame set far from the insulation and high indoor humidity. A reveal without insulation reaches fRsi ≈ 0.71, at the mould limit; with 3 cm of insulation on the outer reveal, 0.83.

What is a thermal bridge?

A part of the envelope (corner, balcony, lintel, plinth, window junction) where heat escapes more easily than through the elements next to it. It makes the inside surface colder and raises the heat loss.

What is fRsi?

The temperature factor of the inside surface: (θsi − θe) / (θi − θe), computed with Rsi 0.25 m²·K/W. At 20 °C and 50 % RH indoors and −5 °C outdoors, fRsi must be at least 0.70 for the surface to stay above 12.6 °C.

How do you calculate a thermal bridge?

Numerically, to EN ISO 10211: the heat flow through the section of the detail minus U · length for the walls next to it gives ψ, in W/(mK). The loss a year is ψ × length × degree hours: in Bucharest, 61.9 kKh to 20 °C.

Condensation on walls in winter: what should I do?

Lower the indoor humidity to 40–55 % RH (ventilation, or short and frequent airing), heat every room, move furniture away from outside walls and, for the long term, insulate outside, continuously over corners, reveals and the plinth.

Balcony thermal bridge: what are the solutions?

In new houses, a balcony on its own posts or tied through a structural thermal break; in existing ones, the slab wrapped in insulation. An uninsulated 4 m slab (ψ ≈ 0.8) loses 198 kWh a year in Bucharest, as much as 13 m² of insulated wall.

What does thermal-bridge-free mean in a Passive House?

That every junction has ψ ≤ 0.01 W/(mK) measured outside, so thermal bridges can be left out of the energy balance, and fRsi ≥ 0.70 everywhere, so no mould at 20 °C and 50 % RH.

Method · updated

Method and sources

Steady-state calculation, as in EN ISO 13788 for mould and EN ISO 10211 for the details; humidity with the Magnus formula, the same as on the humidity page.

  1. The surface

    θsi = θe + fRsi · (θi − θe); plain wall: fRsi = 1 − U · 0.25.

    Source: EN ISO 13788 · DIN 4108-2

  2. Humidity at the surface

    RHs = pv(room air) / ps(θsi) · 100, at most 100 % RH; ps = 610.94 · exp(17.625 · t / (t + 243.04)) Pa.

    Source: Alduchov and Eskridge, 1996

  3. Mould limit

    θ80 = the dew point of air with RH/0.8; fRsi,min = (θ80 − θe) / (θi − θe).

    Source: EN ISO 13788 · Passipedia

  4. The 2D details

    Section in 1–2 cm cells, each with its λ; Rsi 0.25 for fRsi, 0.13 for ψ; Rse 0.04; cut planes adiabatic; Gauss-Seidel with over-relaxation to 10−7.

    Source: EN ISO 10211

  5. Loss a year

    Q = ψ · l · Gt; Gt = Σ (20 − tday) · 24 h over the days averaging 12 °C or less in the site’s typical year.

    Source: PVGIS

Checks

CheckReferenceThis page
20 °C and 50 % RHdew point 9.3 °C; 80 % RH at 12.6 °C9.3 °C; 12.6 °C
DIN 4108-2, −5 °C outdoorsfRsi 0.700.70
Wall U 1.2 and U 0.15, −5 °C12.5 °C and 19.1 °C12.5 °C and 19.1 °C
2D calculation of a plain wallfRsi = 1 − U · 0.25equal to the fifth decimal

Limitations

  • Steady state: mould needs days of damp, and one cold night alone is not enough. An hour-by-hour check needs a dynamic simulation (EN 15026).
  • The 2D details: old masonry λ 0.45 W/(mK), 30 cm (U ≈ 1.2); insulation λ 0.035, 10 cm (wall U 0.27); reinforced concrete λ 2.3; ground λ 2.0, 2 m each way; frame λ 0.12, 8 cm; glazing λ 0.027, 2 cm (U ≈ 1.1); joint foam λ 0.04. The plinth: a 15 cm slab on 10 cm of insulation, the concrete footing down to 0.9 m below ground.
  • The reveal’s fRsi is the lowest on the masonry and the joint, not on the frame or the glass edge, which belong to the window.
  • The example ψ values in the cost table are chosen within the sources’ ranges; your house has its own lengths and details.
  • The Romanian standards (the C107 series and the thermal-bridge catalogue) are not quoted with values, because their current text could not be checked; Mc 001-2022 requires thermal resistances corrected for thermal bridges.

Sources

  • Passipedia, definition of thermal bridges, 80 % RH and 12.6 °C
  • Passipedia, thermal-bridge-free design, ψ ≤ 0.01 W/(mK)
  • Passive House Institute, criteria for opaque construction systems: fRsi ≥ 0.70 (cool-temperate climate), external dimensions
  • BRE, SAP 10 technical paper S10TP-05, Table K1, default ψ values
  • ASHRAE 90.1, Table A10.1, ψ values
  • EN ISO 13788 (surface temperature, mould criterion), EN ISO 10211 (numerical calculation of thermal bridges), EN ISO 14683 (simplified methods and default values), DIN 4108-2 (minimum thermal protection)
  • Alduchov and Eskridge (1996), Magnus formula
  • Climate data: PVGIS typical meteorological year 2005–2023, daily means

Calculation and text: SEMPER SUPRA INITIATIVE S.R.L. · Climate data: PVGIS © European Union, 2001–2026.