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Thermal Resistance & Insulation R-Value Converter

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### Building Science, Architectural Thermodynamics & Thermal Resistance Metrology Thermal resistance ($R$) quantifies a material's opposition to conductive heat transfer: - **1. Universal R-Value.

Reviewed by Sheraz Share · BSCS
Last updated:
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⚙ Input Values

R
m²
Δ°C

📊 Results

Converted Target Thermal Resistance
2.289
resistance units
Metric RSI Resistance (m²·K/W)
2.289
m²·K/W
US R-Value (ft²·°F·h/BTU)
13
US R
Thermal U-Factor (U = 1/R in W/(m²·K))
0.437
W/(m²·K)
Imperial U-Factor (BTU/(h·ft²·°F))
0.0769
BTU/(h·ft²·°F)
Total Steady-State Heat Loss (Q̇ = U·A·ΔT)
873.6
Watts (W)
✦ ASHRAE & ASTM C518 Building Science Diagnostic Summary
Building Thermal Performance Profile (Standard 2x4 Wall (US R-13)): Converted Resistance = 2.289 metric rsi m2 k w. Standard Metrology Equivalencies: US R-13.00 ≡ Metric RSI 2.289 m²·K/W | 22.9 Tog | 14.77 Clo. Thermal Transmittance: U-Factor = 0.437 W/(m²·K) (Imperial U = 0.0769 BTU/(h·ft²·°F)). Steady-State Heat Flux across 100.0 m² at ΔT = 20.0°C: Total Heat Loss = 873.6 Watts (2980.8 BTU/hr). Building Science Insight: R-value measures resistance to heat flow (higher is better), whereas U-factor measures rate of heat transmission (lower is better, U = 1/R). Adding insulation yields diminishing returns because heat loss scales inversely with R-value (Q̇ ∝ 1/R).
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📐 Formula

For electronics: RSI = R_abs * Area

💡 Practical Example

✅

A building architect specifying US R-13 fiberglass batt insulation converts the rating to Metric RSI 2.29 m²·K/W), calculating that a 100 m² wall facing a 20°C winter freeze loses 873.7 Watts of thermal energy.

📖 About Thermal Resistance & Insulation R-Value Converter

Building Science, Architectural Thermodynamics & Thermal Resistance Metrology

Thermal resistance (R) quantifies a material's opposition to conductive heat transfer:

  • **
  • Universal R-Value Conversion Formulas (ASHRAE Standards)**:

US R-Value = Metric RSI × 5.678263

Metric RSI = US R-Value × 0.176110 = US R-Value5.678263

1 Tog = 0.10 m^2·K/W = 0.5678 US R | 1 Clo = 0.155 m^2·K/W = 0.8803 US R

  • **
  • U-Factor & Steady-State Heat Loss Equations**:

U_Metric = (1) / (RSI) ) | U_Imperial = (1) / (US R) )

Q = U × A × Δ T = (A × Δ T) / (R_SI) (Watts, W)

  • **
  • Standard Insulation & Assembly Benchmarks**:
  • Standard 2x4 Wall (US R-13): RSI 2.289 m^2·K/W U = 0.437 W/(m^2·K) 874 W per 100m^2 @ 20^ Δ T
  • 2x6 High-Efficiency Wall (US R-20): RSI 3.522 m^2·K/W U = 0.284 W/(m^2·K) 568 W
  • Attic Ceiling (US R-49): RSI 8.629 m^2·K/W U = 0.116 W/(m^2·K)
  • Double-Pane Low-E Window (US R-3.3): RSI 0.587 m^2·K/W U = 1.703 W/(m^2·K)

How to Use This Calculator

Enter your Thermal Resistance Magnitude (R-Value / RSI) (e.g. 13 in R), From Thermal Resistance Unit — choose from US R-Value (ft²·°F·h/BTU - US Insulation Standard), Metric RSI (m²·K/W - International / SI Standard), Absolute Resistance (K/W = °C/W - Electronics Heatsinks), To Thermal Resistance Unit — choose from Metric RSI (m²·K/W), US R-Value (ft²·°F·h/BTU), Tog Rating, Wall / Roof Surface Area (m²) (e.g. 100 in m²), Indoor-to-Outdoor Temp Difference (ΔT in °C) (e.g. 20 in Δ°C), and Building Envelope & Electronics Benchmark — choose from Custom Thermal Resistance, Standard 2x4 Wall Fiberglass Batt (US R-13) → RSI 2.289 m²·K/W | U = 0.437 W/(m²·K) | Q̇ = 874 W, High-Efficiency 2x6 Wall (US R-20) → RSI 3.522 m²·K/W | U = 0.284 W/(m²·K) | Q̇ = 568 W. Results update instantly as you type — adjust any value to compare scenarios.

The Formula

For electronics: RSI = R_abs * Area

Worked Example

A building architect specifying US R-13 fiberglass batt insulation converts the rating to Metric RSI 2.29 m²·K/W), calculating that a 100 m² wall facing a 20°C winter freeze loses 873.7 Watts of thermal energy.

Understanding Your Result

Unit conversions are exact by definition within a given measurement system (e.g., 1 km = exactly 1,000 m). Cross-system conversions (metric to imperial) use defined exchange factors: 1 inch = exactly 2.54 cm; 1 pound = 0.45359237 kg. Round your converted result to match the precision of your original measurement — expressing more decimal places than your input justifies implies false accuracy. For regulatory, legal, or safety-critical applications, verify which measurement system is required by the applicable standard.

💡 Methodological Standards & Calculation Accuracy

  • All calculations are performed client-side in your browser using verified, standards-compliant mathematical algorithms.
  • Results are provided for educational and informational analysis; verify critical applications with certified domain specialists.
  • Ensure input values are entered in consistent units matching the selector options to guarantee accurate outputs.
  • Periodic recalibration is recommended whenever baseline assumptions, operating parameters, or external conditions change.

Results are for informational and educational purposes only. Always verify critical decisions with a qualified professional.

❓ Frequently Asked Questions

What is the difference between US R-value and Metric RSI?

US R-value is measured in imperial units, while Metric RSI is measured in SI units. To convert US R-value to Metric RSI, divide by 5.67826.

What is the relationship between R-value and U-factor?

U-factor (thermal transmittance) is the exact mathematical reciprocal of R-value. A higher R-value means better insulation, which corresponds to a lower U-factor (less heat escaping per second).

What is a Tog rating?

A Tog is a European unit of thermal resistance primarily used for duvets, blankets, and carpets. 1 Tog equals 0.1 m²·K/W (approximately 0.568 US R-value). A winter duvet typically rates 10.5 to 13.5 Tog.

Why do increasing R-values give diminishing energy savings?

Heat loss is proportional to 1/R. Going from R-1 to R-11 reduces heat loss by 91%, but going from R-11 to R-21 only reduces the remaining heat loss by another 4.3%. Each additional inch of insulation saves less absolute energy than the previous inch.

What is absolute thermal resistance in electronics?

Absolute thermal resistance measures temperature rise per unit of heat power dissipated without factoring in area: ΔT = θ × Power (Watts). A CPU heatsink rated at 0.15 K/W warms by 15°C when dissipating 100 Watts.

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