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MasterMath

Insulation R-Value Calculator

The thermal resistance R and transmittance U of a layer of insulation, with the thickness needed to reach the usual reference values.

Currency and number format for

Thermal resistance R

—

Thermal resistance R—
Transmittance U—
Conductivity of the material—
Thickness to reach R = 3—
Thickness to reach R = 5—
Heat lost through that area—
Material—

How this was worked out

    The formula

    R = thickness ÷ conductivity, and U = 1 ÷ R

    Where it comes from

    There are only two numbers and they are inverses. Resistance R measures how well it insulates: the higher, the better. Transmittance U measures how much gets through: the lower, the better. R comes from dividing the thickness in metres by the conductivity of the material, the lambda given on its data sheet; U is simply one divided by R. Ten centimetres of mineral wool at lambda 0.035 gives R = 2.86 and U = 0.35.

    How to work it out by hand

    1. Convert the thickness to metres
    2. Look up the conductivity of the material on its data sheet
    3. Divide the thickness by the conductivity: that is R
    4. One divided by R is U

    What is worth knowing

    What this page works out is the insulation layer, not the whole wall. A real build-up also has brick, render, a cavity and the two surface resistances of the air on either side, and resistances of layers in series add together. That is why the U of a finished wall is always better than the figure here. And there is one detail that wrecks any calculation: thermal bridges. An uninsulated floor slab edge or column lets more heat through on its own than several square metres of well-insulated wall, and no thickness of mineral wool elsewhere makes up for it.

    Frequently asked questions

    What is thermal resistance R?

    How well a layer insulates: the thickness divided by the conductivity of the material. The higher R is, the less heat gets through.

    What is the difference between R and U?

    They are inverses. R measures how well it insulates and U how much gets through: U = 1 ÷ R. You want R high and U low.

    How much insulation should I fit?

    It depends on the climate and local regulations. As a practical reference, R = 3 is reasonable in a wall and R = 5 or more in a roof.

    What is lambda conductivity?

    How readily a material conducts heat, in W per metre per kelvin. The lower, the better it insulates: polyurethane is 0.028 and cork 0.040.

    Is the wall U-value the one this gives?

    No: this is the insulation layer alone. A real wall adds the other layers and the surface resistances, so its U is better.

    What are thermal bridges?

    Points where the insulation is interrupted: slab edges, columns, blind boxes. They let a lot of heat through and extra thickness elsewhere does not compensate.