Table 2: Material properties, resistance, UA, and capacitance for each roof layer U (1/R) W/m2- с 25 F01 Outer Surface Resistance F13 Build-Up Roofing 4 cm Roofing Insulation 10 cm Concrete

R5 Combined 10 cm Steel Joints 10 cm Airspace 20 mm Plaster Ceiling F03 Inside Horizontal Surface Resistance Total R R1 R2 R3 L k mm 9.5 0.16 28 W/m- с 40 rho Cp R C- kg/m³ kJ/kg- с m²/W 0.04 0.06 16.84 0.75 1,120 0.03 43 1.46 1.21 0.84 R4 R5 R5a 100 45.4 7,800 0.5 R5b 100 0.0251 1.2 R6 20 0.16 800 R7 100 0.53 1,280 1.004 1.05 1.33 0.19 5.30 0.18 5.56 0.12 8.33 0.18 5.56 0.13 8.00 0.16 6.25 XXX XXX с (tho*cp*L) kJ/m2-C 15.53 2.08 107.52 11.82 390.00 0.12 16.80 a. Determine the overall conductance of the roof. b. Use the thermal network approach to represent the transient response. Assume that all of the thermal storage is in the concrete and that the other roof elements have only a thermal resistance. Verify that the capacitance of the steel joists is negligible. c. Determine and plot the heat gain as a function of time over the course of the day d. Discuss how the HVAC system design is affected by energy storage in the concrete.