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Boss lesson · The Envelope Audit
Exam-hall rules, last wall
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Exam-hall rules, last wall

This is the boss. No calculator — every R-value in it sums to a clean number and every reciprocal is one you already know: RSI 2 is U-0.5, RSI 2.5 is U-0.4, RSI 4 is U-0.25, RSI 5 is U-0.2. Learn those four and half of building science is mental arithmetic.

One wall, one long problem, and every answer feeds the next: stack the resistances, invert to a U-factor, take the design loss, then rule on the wall. Write each line down as you go — a film forgotten on line one walks all the way to the verdict.

And note what the last line actually asks. It does not want another number; it wants a DECISION, the way a real code check does. Watch the direction of the comparison too: a U-factor cap is a CEILING, and lower is better. The arithmetic is only there to earn you the right to make the call.

Everything in the chapter rides in this one wall. 5★ under par here is the chapter crown. Clock in.

R1R2R3Rtot

Rtot=R1+R2+R3R_{tot} = R_1 + R_2 + R_3

  • RtotR_{tot}= Total assembly R-value
  • R1R_1= First layer R-value
  • R2R_2= Second layer R-value
  • R3R_3= Third layer R-value

each variable a areal thermal resistance

Total R-Value of an Assembly solver →
RtotU

U=1RtotU = \frac{1}{R_{tot}}

  • UU= U-factor (heat transfer coefficient)
  • RtotR_{tot}= Total assembly R-value (areal thermal resistance)
U-Factor from Total R-Value (U = 1/R) solver →
ΔTAQRtot

Q˙=A ΔTRtot\dot{Q} = \frac{A \, \Delta T}{R_{tot}}

  • Q˙\dot{Q}= Heat loss rate (power)
  • AA= Assembly area (area)
  • ΔT\Delta T= Inside-to-outside ΔT (temperature difference)
  • RtotR_{tot}= Total assembly R-value (areal thermal resistance)
Heat Loss Through an Assembly (Q = A·ΔT/R) solver →
no calculator in the boss room — the numbers are chosen to fit in your head