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0 <br />Madison Industries <br />Designed by: ML/JFB <br />August 4, 2016 <br />Job No: WCA17860 Mobil Fueling Canopy <br />Customer: Mobil Fueling Canopy <br />Structure: 65'-0" x 54'-4" (4) Column Canopy <br />Location: Tracy, CA 95377 <br />Sheet 37 <br />Reduced Section Properties for HSS12x12x3/8 Column <br />Effective width of compression flange = be = [253t/fb)112]{1-50.3/[(b/t)(fb)12], = 12.0 in <br />/ Element # 3 = be - dp = 8.5 inches (compression flg) <br />Previous <br />Area b d Theta a <br />dp = 3.5 inches downspout penetration through column <br />JUN 08 2017 <br />h AREA Y AY AY^2 to <br />1 <br />- <br />12 <br />0.375 <br />0 <br />0.000 <br />0.375 <br />4.500 <br />0.188 <br />0.84 <br />0.2 <br />0.05 <br />2 <br />1 <br />0.8 <br />11.25 <br />0 <br />0.375 <br />11.625 <br />8.438 <br />6.00 <br />50.63 <br />304 <br />89 <br />3 <br />2 <br />8.5 <br />0.375 <br />0 <br />11.625 <br />12.000 <br />3.188 <br />11.81 <br />37.65 <br />445 <br />0.04 <br />4 <br />3 <br />0 <br />0 <br />0 <br />12.000 <br />12.000 <br />0.000 <br />12.00 <br />0.00 <br />0.0 <br />0.00 <br />5 <br />4 <br />0 <br />0 <br />0 <br />12.000 <br />12.000 <br />0.000 <br />12.00 <br />0.00 <br />0.0 <br />0.00 <br />6 <br />5 <br />0 <br />0 <br />0 <br />12.000 <br />12.000 <br />0.000 <br />12.00 <br />0.00 <br />0.0 <br />0.00 <br />7 <br />6 <br />0 <br />0 <br />0 <br />12.000 <br />12.000 <br />0.000 <br />12.00 <br />0.00 <br />0.0 <br />0.00 <br />8 <br />7 <br />0 <br />0 <br />0 <br />12.000 <br />12.000 <br />0.000 <br />12.00 <br />0.00 <br />0.0 <br />0.00 <br />9 <br />8 <br />0 <br />0 <br />0 <br />12.000 <br />12.000 <br />0.000 <br />12.00 <br />0.00 <br />0.0 <br />0.00 <br />10 <br />9 <br />0 <br />0 <br />0 <br />12.000 <br />12.000 <br />0.000 <br />12.00 <br />0.00 <br />0.0 <br />0.00 <br />TOTAL AREA = <br />16.13 <br />int <br />89.1 <br />838 <br />TOTAL DEPTH = 12.00 in <br />CENTROID (Y) = SUM(AY)/SUM(AREA) = 5.527 in <br />Cl = Y = 5.527 in <br />C2 = DEPTH - Ybar = 6.473 in <br />((total)= [SUM(AY^2)+SUM(lo)]-(AREA)(Y)^2 = 345.2 in <br />Sx1 = I/C1 = 62.46 in <br />Sx2 = I/C2 = 53.33 in3 <br />Radius of gyration (r) = (I/A)"1/2= 4.63 in <br />