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r !. <br />Madison Industries Customer: Mobil Fueling Canopy <br />Designed by: ML/JFB JUN 0 8 2017Structure: 65'-0" x 54'-4" (4) Column Canopy <br />August 4, 2016 Location: Tracy, CA 95377 <br />Job No: WCA17860-1 E: `Vli It-'% H ALTH Sheet 12 <br />Roof Deck Section Properties, cont. <br />20 Gauge Deck, 3 in. Ribs -- Negative Bending <br />(Bottom Flange of Deck in Compression) <br />15/16" <br />1/2" <br />2 15/16"1 T- <br />1 <br />16" <br />[bell = 1.80 in] <br />Previous <br />Area b d Theta a <br />LeWJ2 <br />h AREA Y <br />ASTM A653 Gr. 50 <br />Fy = 50,000 psi <br />Fb = 30,000 psi <br />t = 0.036 in <br />2 13/16" <br />1/8" radius (typical) <br />AY AY^2 to <br />1 <br />- <br />2.05 <br />0.036 <br />0 <br />0.000 <br />0.036 <br />0.074 <br />0.018 <br />0.00 <br />0.0 <br />0.00 <br />2 <br />1 <br />0.072 <br />2.4015 <br />0 <br />0.036 <br />2.438 <br />0.173 <br />1.237 <br />0.21 <br />0.3 <br />0.08 <br />3 <br />2 <br />0.144 <br />0.339 <br />0 <br />2.438 <br />2.777 <br />0.049 <br />2.607 <br />0.13 <br />0.3 <br />0.00 <br />4 <br />3 <br />0.8125 <br />0.036 <br />0 <br />2.777 <br />2.813 <br />0.029 <br />2.795 <br />0.08 <br />0.2 <br />0.00 <br />5 <br />4 <br />0.072 <br />0.089 <br />0 <br />2.813 <br />2.902 <br />0.006 <br />2.857 <br />0.02 <br />0.1 <br />0.00 <br />6 <br />5 <br />0.9375 <br />0.036 <br />0 <br />2.902 <br />2.938 <br />0.034 <br />2.920 <br />0.10 <br />0.3 <br />0.00 <br />7 <br />6 <br />0 <br />0 <br />0 <br />2.938 <br />2.938 <br />0.000 <br />2.938 <br />0.00 <br />0.0 <br />0.00 <br />8 <br />7 <br />0 <br />0 <br />0 <br />2.938 <br />2.938 <br />0.000 <br />2.938 <br />0.00 <br />0.0 <br />0.00 <br />9 <br />8 <br />0 <br />0 <br />0 <br />2.938 <br />2.938 <br />0.000 <br />2.938 <br />0.00 <br />0.0 <br />0.00 <br />10 <br />9 <br />0 <br />0 <br />0 <br />2.938 <br />2.938 <br />0.000 <br />2.938 <br />0.00 <br />0.0 <br />0.00 <br />TOTAL AREA = <br />0.365 <br />in <br />0.54 <br />1.2 <br />TOTAL DEPTH = <br />CENTROID (Y) = SUM(AY)/SUM(AREA) _ <br />C2 = DEPTH - Ybar = <br />((total)= [SUM(AY^2)+SUM(lo)]-(AREA)(Y)^2 = <br />Sx1 = I/C1 = <br />Sx2 = I/C2 = <br />Radius of gyration (r) = (1/A)^1/2= <br />2.938 in <br />1.483 in <br />1.455 in <br />0.45 in <br />0.301 in3 f- comp. fig. <br />0.307 in3 <br />1.106 in <br />