# How to Calculate a U-value

25 April 2017 Kingspan Insulation Middle East

## What is a U-value?

The U-value assesses the rate of heat loss / gain through all the thicknesses of the combined elements that make up a building component such as a wall, floor or roof. It is measured in units of W/m2.K (Watts per metre squared Kelvin). It is a way of measuring the insulating properties of the building element. The lower the U-value, the better insulated the building element is. So a wall with a low U-value should prevent heat loss / gain better than a wall with a high U-value.

## Why do we use U-Values?

The use of U-values allows for the comparison of different build ups for applications, so the insulating properties of a solid wall could be compared to that of a cavity wall for example, or allows the comparison of two different types of insulation at different thicknesses.

It is the most accurate way of measuring the insulating properties of the application or material and Building Regulations/Standards specifies U-values which have to be achieved when building or refurbishing a building. For example when building in Dubai, a roof in a villa has a recommended best starting point of a U-value of 0.30W/m2.K.

Without knowing the U-value of a wall or a floor or roof, you won’t know how energy efficient the whole building will be.

Before you start any building work you should calculate the U-value as part of the design process, to make sure that meets or is lower than that specified by Building Regulations/Standards.

## How do We Calculate a U-Value

To calculate a U-Value you have to start with the R Value or resistivity of the elements that make up the building element you are trying to calculate the U-Value for. The R-Value refers to a material’s ability to resist heat transfer at a certain thickness – the higher the better when looking for an insulation material. It is measured in m2.K/W. The R-Value is calculated as R = l/λ where l = the thickness of the material in metres and λ (lambda) is the thermal conductivity of the material in W/m.K.

So for example to work out the R-Value of 60mm of Kingspan Kooltherm K8 Cavity Board, which has a thermal conductivity or λ value of 0.021W/m.K:

R-Value = l/λ = 0.06/0.021 = 2.86 m2.K/W

## U-value formula

For a particular application, such as a cavity wall, which is built up of a concrete block outer leaf, 50mm clear cavity, Kingpan Kooltherm K8 Cavity Board, dense block and skim coated plaster board, then the R-Value for each of the elements would be calculated in order to work out the U-Value.

U Value is the reciprocal of all resistances of the materials found in the building element. To calculate the U-Value of the building element the R-Value of all the different components that make up that element will be considered.

U-Value = 1/(Sum of all R-Value)

U-Value (of building element) = 1 / (Rso + Rsi + R1 + R2 …)

where Rso is the fixed external resistance, Rsi is the fixed internal resistance and R1, R2 etc are resistivity of all elements within the application including that of cavities within the construction.

This is the basic formula and by using this you could work out the U-Value for a particular application, however there are also other factors which need to be taken into account including thermal bridging factors of fixings or stud work.

## How to Achieve these U-values?

Different insulation materials will require a different thickness based on their thermal conductivity. We've produced some example calculations for you on our product pages, so you can see what thickness you'd need to specify. You can find these by clicking on the products below.