R-Value Calculator

Engineering Calculators › R-Value Calculator
Engineering · Thermal

R-Value Calculator

Add up the insulation in a wall or roof assembly — layer by layer — to get its total R-value and U-factor, then check it against the code minimum for your climate zone.

Layers (material and thickness)

Code check (optional)

Heat loss (optional)

Total R-value

R-Value, U-Factor, and How They Add Up

R-value measures resistance to heat flow — higher is better insulation. The handy part is that the layers of an assembly add in series: drywall plus cavity insulation plus sheathing plus the air films sum to a total R. The U-factor is just its inverse, and it is what drives heat loss:

Rtotal = R₁ + R₂ + R₃ + …  ·  U = 1 / Rtotal

Heat loss through the assembly is then Q = U × area × temperature difference. Double the R-value and you roughly halve the heat lost through that surface.

Watch Out for Thermal Bridging

A wall is not all insulation — the studs are a shortcut for heat. A 2×6 cavity filled to R-21 performs more like R-16 to R-18 once you account for the framing, which is why codes increasingly call for continuous exterior insulation that is not interrupted by studs. This calculator gives the center-of-cavity (one-dimensional) R; derate it for framing or add continuous insulation to compensate.

Code Minimums by Climate Zone

Approximate IECC residential prescriptive minimums:

Climate zoneWood-frame wallCeiling
1 – 2R-13R-30 to R-49
3 – 4R-20R-49 to R-60
5 – 6R-20R-60
7 – 8R-21R-60

Frequently Asked Questions

What are air films?

Thin layers of still air clinging to the inside and outside surfaces add real resistance — about R-0.85 combined for a typical wall. The calculator includes them by default; turn them off to compare bare material R only.

R-value or RSI?

R-value is the imperial figure (ft-squared degF hr / BTU); RSI is the metric equivalent (m-squared K / W). RSI = R divided by 5.68. The calculator shows both.

Does more insulation always pay off?

Returns diminish — going from R-10 to R-20 halves the loss, but R-20 to R-30 only cuts it another third. Match the level to your climate zone and the code rather than overbuilding.

For education and preliminary design. Real assemblies must account for thermal bridging, moisture and air sealing, and must meet the energy code in force for your jurisdiction. Values shown are typical and approximate.
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The calculators and tools on Formula Factory are provided for general guidance and informational purposes only. Results are estimates based on standard formulas and the values you enter — they do not constitute professional engineering, electrical, or architectural advice. Always verify calculations with a qualified professional before making decisions for any safety-critical, code-compliance, or commercial application. Formula Factory makes no representations or warranties as to the accuracy or completeness of any result, and accepts no liability for errors, omissions, or any outcomes arising from reliance on this information.