Architectural building envelopes lose or gain thermal energy via conductive heat transfer through exterior assemblies, which depends on surface square footage, indoor-to-outdoor temperature deltas, and insulation thermal resistance (R-value). In this building envelope analysis workspace, thermal parameters are represented by three variables: a wall surface dimensional factor ($V_1$), a thermal gradient multiplier ($V_2$), and an assembly R-value resistance divisor ($V_3$).

The utility determines the primary conductive heat loss index ($[V_1 imes V_2] / max(0.01, V_3)$), the intermediate thermodynamic factor ($sqrt{max(0, V_1 imes V_2)}$), and the relative envelope thermal retention share ($[V_1 / (V_1 + V_2)] imes 100$).

### Distinct Worked Calculation Evaluating a residential timber-framed exterior wall cavity: - Wall Dimension Factor ($V_1$): 130 - Thermal Gradient Multiplier ($V_2$): 39 - Assembly R-Value Divisor ($V_3$): 13

Step-by-step results: - Primary Heat Loss Metric: $(130 imes 39) / 13 = 130 imes 3 = 390.00$ - Intermediate Thermal Root: $sqrt{130 imes 39} = sqrt{5070} approx 71.20$ - Thermal Retention Share: $[130 / (130 + 39)] imes 100 = (130 / 169) imes 100 approx 76.92%$

### In-Browser Architectural Sizing Note All thermal envelope calculations run 100% inside your client browser tab. Wall surface dimensions, local degree days, and insulation values remain strictly on your computer without network transmission.