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Madison Industries <br />Designed by: ML/JFB <br />August 4, 2016 <br />Job No: WCA17860-1 <br />Customer: Mobil Fueling Canopy <br />Structure: 65'-0" x 54'-4" (4) Column Canopy <br />Location: Tracy, CA 95377 <br />Sheet 11 <br />Roof Deck Section Properties <br />20 Gauae Deck. 3 in. Ribs -- Positive Bendin <br />(Top Flange of Deck in Compression) ASTM A653 Gr. 50 <br />_ Fy = 50,000 psi <br />FL <br />Fb = 30,000 psi <br />15/16" 13/16 <br />t = 0.036 in <br />1/2° JUS! 0 8 2017 <br />3/8" <br />---FR <br />2 15/16" 2 13/16" <br />. .,. tiT <br />16" 1/8" radius (typical) <br />TOTAL DEPTH = <br />CENTROID (Y) = SUM(AY)/SUM(AREA) _ <br />C1= Y = <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) = (I/A)^1/2= <br />2.938 in <br />0.634 in <br />0.634 in <br />2.303 in <br />0.90 in <br />1.418 in <br />0.391 in comp. flg. <br />1.019 in <br />Previous <br />Area <br />b <br />d <br />Theta <br />a <br />h <br />AREA <br />Y <br />AY <br />AY^2 <br />to <br />1 <br />- <br />16 <br />0.036 <br />0 <br />0.000 <br />0.036 <br />0.576 <br />0.018 <br />0.01 <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 />0.867 <br />in <br />0.55 <br />1.2 <br />TOTAL DEPTH = <br />CENTROID (Y) = SUM(AY)/SUM(AREA) _ <br />C1= Y = <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) = (I/A)^1/2= <br />2.938 in <br />0.634 in <br />0.634 in <br />2.303 in <br />0.90 in <br />1.418 in <br />0.391 in comp. flg. <br />1.019 in <br />