Insulation & Efficiency

Thermal Bridge Heat Loss Calculator (ψ and χ Values)

The heat lost through an element's thermal bridges, junctions as ψ times length and point bridges as χ times count, and what they add to its U-value.

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Imperial · sales tax
The wall or roof area the bridges belong to, measured the way its U-value is.

The heat loss of the bridges divided by this area is what they add to the element's U-value.

The clear-field U-value, before any junction or bracket is counted.

With it, the page adds the bridges' share and gives the effective U-value of the element as built.

The junction's ψ-value, from a certified detail, a model or a published catalogue.

Heat lost per unit length of the junction for each degree of difference, over and above what the plane U-values count: a window reveal, a floor edge, a parapet, a corner.

The length of that junction on this element.

Measured along the junction — the perimeter of every window for a reveal, the run of the slab edge for a floor junction.

The junction's ψ-value, from a certified detail, a model or a published catalogue.

Heat lost per unit length of the junction for each degree of difference, over and above what the plane U-values count: a window reveal, a floor edge, a parapet, a corner.

The length of that junction on this element.

Measured along the junction — the perimeter of every window for a reveal, the run of the slab edge for a floor junction.

The junction's ψ-value, from a certified detail, a model or a published catalogue.

Heat lost per unit length of the junction for each degree of difference, over and above what the plane U-values count: a window reveal, a floor edge, a parapet, a corner.

The length of that junction on this element.

Measured along the junction — the perimeter of every window for a reveal, the run of the slab edge for a floor junction.

The junction's ψ-value, from a certified detail, a model or a published catalogue.

Heat lost per unit length of the junction for each degree of difference, over and above what the plane U-values count: a window reveal, a floor edge, a parapet, a corner.

The length of that junction on this element.

Measured along the junction — the perimeter of every window for a reveal, the run of the slab edge for a floor junction.

The χ-value of one bracket, clip or fixing, from its manufacturer's model.

Calculated to BS EN ISO 10211 for that bracket in its tested build-up; a different clip changes the number even when the drawing does not.

How many of those brackets or clips cross the insulation on this element.

The count from the fixing grid you settled on.

A second kind of point bridge — a balcony connector, a canopy fixing.

Enter its own χ-value and count.

How many of the second kind.

Zero if there is only one kind of point bridge.

Heat loss through the thermal bridges

10.41 BTU/hr·°F

High confidence

The bridges' heat loss per degree is Σψ × L + Σχ; divided by the element's area it is what they add to the U-value. Multiply the total by a temperature difference for the heat itself.

From the junctions (ψ × length)
7.57 BTU/hr·°F
From the point bridges (χ × count)
2.84 BTU/hr·°F
Added to the U-value by the bridges
0.01 BTU/(hr·ft²·°F)
Effective U-value with the bridges
0.04 BTU/(hr·ft²·°F)
Then change the inputs to see how far the answer moves.

Show calculation logic

How this was calculated

Formula source(s)

  • BS EN ISO 14683, Thermal bridges in building construction — Linear thermal transmittance; BS EN ISO 10211, Heat flows and surface temperatures — Detailed calculations: the heat loss of the bridges is Σψ × L + Σχ
  • BRE BR 497, Conventions for calculating linear thermal transmittance and temperature factors
  • ANSI/ASHRAE/IES Standard 90.1-2022, Section 5.5.5 and Appendix A Table A10.1: linear (ψ, Btu/h·ft·°F) and point (χ, Btu/h·°F) thermal bridges

Inputs used

Area of the Element
1080 sq ft
U-Value of the Element Without the Bridges (0 to skip)
0.04 BTU/(hr·ft²·°F)
Junction 1: Linear Thermal Transmittance ψ
0.03 BTU/hr·ft·°F
Junction 1: Length
130 ft
Junction 2: Linear Thermal Transmittance ψ (0 if none)
0.06 BTU/hr·ft·°F
Junction 2: Length
66 ft
Junction 3: Linear Thermal Transmittance ψ (0 if none)
0 BTU/hr·ft·°F
Junction 3: Length
0 ft
Junction 4: Linear Thermal Transmittance ψ (0 if none)
0 BTU/hr·ft·°F
Junction 4: Length
0 ft
Point Bridges: Point Thermal Transmittance χ
0.06 BTU/hr·°F
Point Bridges: How Many
50
Second Point Bridge: χ (0 if none)
0 BTU/hr·°F
Second Point Bridge: How Many
0

Intermediate steps

From the junctions (ψ × length)
7.57 BTU/hr·°F
From the point bridges (χ × count)
2.84 BTU/hr·°F
Added to the U-value by the bridges
0.01 BTU/(hr·ft²·°F)
Effective U-value with the bridges
0.04 BTU/(hr·ft²·°F)
Final result10.41 BTU/hr·°F

Confidence note: The bridges' heat loss per degree is Σψ × L + Σχ; divided by the element's area it is what they add to the U-value. Multiply the total by a temperature difference for the heat itself.

What this calculation does not cover

  • The ψ- and χ-values are inputs, and they are only as good as their source: a certified detail, a model to BS EN ISO 10211 for that construction, or a published catalogue for a similar one. A default value from a table is usually larger than a modelled one, on purpose.
  • A continuous girt or stud is not a point bridge; it is usually handled as a reduced layer resistance, which the thermal bridging calculator computes.
  • ψ-values depend on which dimensions the U-values were measured to — internal or external — and must be used with areas measured the same way.

Add the equipment this sizes

This result is a specification — 10.41 BTU/hr·°F — not a quantity. Put the thing it sizes into your project: how many, what you call it, and your supplier’s price.

130 ft
Schematic, drawn to the proportions you entered — not to scale on screen.

Computed in your browser — nothing you enter is uploaded. Presented in US customary units and US trade terminology. Where a formula follows a published standard, that standard and its edition are cited beside it on this page; where none governs, the page says so. Local amendments override model codes — verify against the code in force where you build.

Sources checked 2026-09-22 · v1.0.0

Regulatory standards & verification citations3
  1. BS EN ISO 14683, Thermal bridges in building construction — Linear thermal transmittance; BS EN ISO 10211, Heat flows and surface temperatures — Detailed calculations: the heat loss of the bridges is Σψ × L + Σχ
  2. BRE BR 497, Conventions for calculating linear thermal transmittance and temperature factors
  3. ANSI/ASHRAE/IES Standard 90.1-2022, Section 5.5.5 and Appendix A Table A10.1: linear (ψ, Btu/h·ft·°F) and point (χ, Btu/h·°F) thermal bridges

Which documents these citations point at

Standards referenced: ISO 14683, ISO 10211 (International Organization for Standardization, International).

Cite this page

Your workspace

Most jobs need more than one number. Add the calculators you need next and they open right here, underneath this one — your figures stay on screen and nothing is lost to a page change.

Now that you have the number

These guides cover the work this quantity is for — the first ones run this calculator inside the section that raises the question.

How to calculate thermal bridge heat loss (ψ and χ values) in 15 steps

  1. Area of the ElementThe wall or roof area the bridges belong to, measured the way its U-value is.
  2. U-Value of the Element Without the Bridges (0 to skip)The clear-field U-value, before any junction or bracket is counted.
  3. Junction 1: Linear Thermal Transmittance ψThe junction's ψ-value, from a certified detail, a model or a published catalogue.
  4. Junction 1: LengthThe length of that junction on this element.
  5. Junction 2: Linear Thermal Transmittance ψ (0 if none)The junction's ψ-value, from a certified detail, a model or a published catalogue.
  6. Junction 2: LengthThe length of that junction on this element.
  7. Junction 3: Linear Thermal Transmittance ψ (0 if none)The junction's ψ-value, from a certified detail, a model or a published catalogue.
  8. Junction 3: LengthThe length of that junction on this element.
  9. Junction 4: Linear Thermal Transmittance ψ (0 if none)The junction's ψ-value, from a certified detail, a model or a published catalogue.
  10. Junction 4: LengthThe length of that junction on this element.
  11. Point Bridges: Point Thermal Transmittance χThe χ-value of one bracket, clip or fixing, from its manufacturer's model.
  12. Point Bridges: How ManyHow many of those brackets or clips cross the insulation on this element.
  13. Second Point Bridge: χ (0 if none)A second kind of point bridge — a balcony connector, a canopy fixing.
  14. Second Point Bridge: How ManyHow many of the second kind.
  15. Heat loss through the thermal bridgesThe tool computes the heat loss through the thermal bridges from those figures and shows the formula, its sources, and a confidence rating alongside it.

Frequently asked questions

Why is a bracket a point and not an area?
Because it is a single path for heat through the insulation, and its penalty is a fixed amount per bracket rather than a share of the wall. Forcing a discrete clip into an area-fraction method over- or under-states it depending on how the fraction was guessed; the manufacturer's χ-value times the count is the direct figure.
How does this relate to a y-value?
A y-value is the same total heat loss of the junctions divided by the total exposed area of the building, used as a single allowance in SAP. This page does that for one element: the bridges' W/K divided by its area.
Do the values change between metric and US units?
Only in their unit. ψ in W/m·K and in BTU/hr·ft·°F, χ in W/K and in BTU/hr·°F, describe the same detail, and every box follows the unit switch.
Preliminary estimate, not certified engineering. This tool produces an indicative quantity calculation for planning purposes only — it is not a certified structural analysis, a guaranteed material takeoff, or a substitute for building department approval. Always verify measurements on-site and have a licensed contractor or structural engineer review any load-bearing, code-sensitive, or safety-critical work before purchasing materials or starting construction. Spotted an arithmetic or standards error? Report it to contact@craftquantities.com with your inputs — a confirmed fix gets a permanent check of its own, so the same mistake cannot come back.