PROBLEM 4. (40 points) Consider a square building of 20m x 20m x 10m, with a theoretical 100% WWR South faade in Chicago, IL. You can assume that the faade consists of 1/8in uncoated double-glazed fixed window system, with a non-extended frame accounting for 5% of its total area, and no shading whatsoever. 10m 20m 20m a. (15 points): Calculate the direct solar radiation incident on that faade for January 21st at 1pm. Please show your work in detail with the appropriate equations. (You may use your solar Excel spreadsheet, but just to check your results!). You are given the following parameters, so don't waste your time with calculating them from scratch: . . . . Latitude = 41.8781 Longitude = 87.6298 Equation of time = 1.03 min Declination angle 8=20.38 Solar azimuth Os=6.70 Diffuse radiation (sky and ground) = 179 W/m2 A=1202W/m, B=0.149, C=0.103, CN=0.98 b. (10 points): Calculate the total transmitted solar radiation through the facade. The frame's absorptivity is given equal to a=0.3, its U-value is Uf=6.42W/mc and the total exterior film coefficient is ho=22.7 W/mc d. (15 points): Calculate the per unit area absorbed solar radiation for (i) one interior wall surface of your choice and (ii) for the floor, considering an absorptivity of the floor equal to 0.20. PROBLEM 4. (40 points) Consider a square building of 20m x 20m x 10m, with a theoretical 100% WWR South faade in Chicago, IL. You can assume that the faade consists of 1/8in uncoated double-glazed fixed window system, with a non-extended frame accounting for 5% of its total area, and no shading whatsoever. 10m 20m 20m a. (15 points): Calculate the direct solar radiation incident on that faade for January 21st at 1pm. Please show your work in detail with the appropriate equations. (You may use your solar Excel spreadsheet, but just to check your results!). You are given the following parameters, so don't waste your time with calculating them from scratch: . . . . Latitude = 41.8781 Longitude = 87.6298 Equation of time = 1.03 min Declination angle 8=20.38 Solar azimuth Os=6.70 Diffuse radiation (sky and ground) = 179 W/m2 A=1202W/m, B=0.149, C=0.103, CN=0.98 b. (10 points): Calculate the total transmitted solar radiation through the facade. The frame's absorptivity is given equal to a=0.3, its U-value is Uf=6.42W/mc and the total exterior film coefficient is ho=22.7 W/mc d. (15 points): Calculate the per unit area absorbed solar radiation for (i) one interior wall surface of your choice and (ii) for the floor, considering an absorptivity of the floor equal to 0.20