Calculators › HVAC and building envelope
Opaque-wall resistance within a shared heat limit calculator
Opaque-wall resistance within a shared heat limit
Minimum opaque-wall heat resistance is calculated as A_wall × ΔT / (q_limit − U_glass × A_glass × ΔT). Use the stated system boundary and matching input units.
Units IP (US) SI (metric)
R wall = A wall × Δ T q limit − U glass × A glass × Δ T R_{\text{wall}} = \frac{A_{\text{wall}} \times \Delta T}{q_{\text{limit}} - U_{\text{glass}} \times A_{\text{glass}} \times \Delta T} R wall = q limit − U glass × A glass × Δ T A wall × Δ T
R wall = A wall × Δ T 1000 × q limit − U glass × A glass × Δ T R_{\text{wall}} = \frac{A_{\text{wall}} \times \Delta T}{1000 \times q_{\text{limit}} - U_{\text{glass}} \times A_{\text{glass}} \times \Delta T} R wall = 1000 × q limit − U glass × A glass × Δ T A wall × Δ T
Calculator
Enter the values you know and leave one box empty. Calculate finds the empty one, the result or any input.
Worked example
Given
A wall A_{\text{wall}} A wall = 8,000 ft² Δ T \Delta T Δ T = 40 °F q limit q_{\text{limit}} q limit = 100,000 Btu/h U glass U_{\text{glass}} U glass = 0.5 Btu/(h·ft²·°F) A glass A_{\text{glass}} A glass = 2,000 ft²
R wall = 8000 × 40 100 , 000 − 0.5 × 2000 × 40 ≈ 5.333 R_{\text{wall}} = \frac{8000 \times 40}{100{,}000 - 0.5 \times 2000 \times 40} \approx 5.333 R wall = 100 , 000 − 0.5 × 2000 × 40 8000 × 40 ≈ 5.333
Given
A wall A_{\text{wall}} A wall = 800 m² Δ T \Delta T Δ T = 20 K q limit q_{\text{limit}} q limit = 35 kW U glass U_{\text{glass}} U glass = 2 W/(m²·K) A glass A_{\text{glass}} A glass = 200 m²
R wall = 800 × 20 1000 × 35 − 2 × 200 × 20 ≈ 0.5926 R_{\text{wall}} = \frac{800 \times 20}{1000 \times 35 - 2 \times 200 \times 20} \approx 0.5926 R wall = 1000 × 35 − 2 × 200 × 20 800 × 20 ≈ 0.5926
Symbols and units
Symbol Meaning Unit
R wall R_{\text{wall}} R wall minimum opaque-wall heat resistance h·ft²·°F/Btu
A wall A_{\text{wall}} A wall opaque wall area ft²
Δ T \Delta T Δ T inside-outside temperature difference °F
q limit q_{\text{limit}} q limit maximum shared conductive heat loss Btu/h
U glass U_{\text{glass}} U glass glazing conductance Btu/(h·ft²·°F)
A glass A_{\text{glass}} A glass glazing area ft²
Symbol Meaning Unit
R wall R_{\text{wall}} R wall minimum opaque-wall heat resistance m²·K/W
A wall A_{\text{wall}} A wall opaque wall area m²
Δ T \Delta T Δ T inside-outside temperature difference K
q limit q_{\text{limit}} q limit maximum shared conductive heat loss kW
U glass U_{\text{glass}} U glass glazing conductance W/(m²·K)
A glass A_{\text{glass}} A glass glazing area m²
Studying for the CEM® exam?
The ClueLuma CEM app has 1,041 calculation-focused practice questions, a formula calculator like this one in every question, and an endless drill where the numbers change every time. Try it free, no card needed.
Results are estimates for study and screening. Check the inputs, units and assumptions before you use them for design, billing or contract decisions.