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Madison Industries Customer: Mobil Fueling Canopy Designed by: ML/JFB Structure: 65'-0" x 54'-4" (4) Column Canopy August 4, 2016 Location: Tracy, CA 95377 Job No: WCA17860-1 Sheet 19 Roof Support Beam BZ cont. Design Strengths - Span: For Lb<Lp : Top Flange: ObM"' = 124.5 ft-k N/A this case Bottom Flange: ObMn" = 124.5 ft-k Governs for bottom flange Where: = 0.9 Mn = lesser of: 1) M = FyZX = 138 ft-k 2) 1.5My = 1.5FySX = 181 ft-k For Lp<Lb<Lr : Top Flange: ObMn' = 93.3 ft-k Governs for top flange Bottom Flange: ObMn" = 135.0 ft-k N/A this case Where: 0 = 0.9 Mn' = Cb(MP (Mp-Mr)I(Lb'-Lp)/(Lr Lp)]} = 103.7 ft-k,- Mn" = Cb(Mp--(Mp-Mr)((Lb"-Lp)/(Lr Lp)]} = 150.0 ft-k Cb= 1.0 JUN 0 8 2017 Mr = FLS. = 96.7 ft-k For Lb>Lr: Top Flange: ObMn' = 105.7 ft-k N/A this case Bottom Flange: ObMn" = 1765 ft-k N/A this case Where: = 0.9 M,,'= Mcr =(CbSxX1(2)12/(Lb'/ry)](1+X12X2/[2(Lb'/ry)2]]112 = 117 ft-k Mn" = Mr" = (CbSXX1(2)112/(Lb"/ry)](1+X12X2/[2(Lb' /ry)2]]1/2 = 1961 ft-k Design Strengths - Cantilever: For Lb<Lp : Top Flange: ObMn' = 124.5 ft-k N/A this case Bottom Flange: ObMn" = 124.5 ft-k Governs for bottom flange For Lp<Lb<Lr Top Flange: ObMn' = 59.0 ft-k N/A this case Bottom Flange: ObMn" = 135.0 ft-k N/A this case Where: = 0.9 M,'= Cb{Mp-(Mp-Mr)I(Lb'-Lp)/(Lr Lp)]) = 65.5 ft-k Mn" = Cb(Mp-(Mp-Mr)((Lb"-Lp)/(Lr Lp)]) = 150.0 ft-k For Lb>Lr: Top Flange: 4Mn' = 46.3 ft-k Governs for top flange Bottom Flange: ObMn" = 1765 ft-k N/A this case Where: = 0.9 Mn' = Mcr = ICbS.X1(2)1/2/(Lbs/ry)]I1+X12X2/[2(Lb'/ry)2]]1/2 = 51 ft-k Mn" = Mcr " = [CbS.X1(2)U2/(Lbs /r )][1+X12X2/[2(Lb' /ry )2]]1/2 = y 1961 ft-k