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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 27 Roof Support Girder G1, cont. Design Strenqths - Span: For Lt,<Lp : Top Flange: Bottom Flange: For Lp<Lb<Lr ObMn' = 420.0 ft -k ObMn"= 420.0 ft -k Where: ¢ _ Mn = lesser of: 1) MP = FyZx = 2) 1.5My = 1.5FySx = Top Flange: ObMn' = 223.4 ft -k Bottom Flange: ObMn" = 394.4 ft -k Where: _ M,,'= Cb{MP (MP-M,)((Le-Lp)/(Lr Lp)l) = Mn„ = Cb{MP (Mp-M,)I(Lb"-Lp)/(Lr Lp)l) = Cb = Mr = FLSx = For Lb>Lr: 0.9 467 ft -k 614 ft -k 0.9 248 ft -k 438 ft -k 1.0 327.7 ft -k Top Flange: Wn' = 184.9 ft -k Bottom Flange: ObMn" = 996.4 ft -k Where:7 = 0.9 Mn' = Mcr = [CbSxX1(2)1/2/(Lbs/ry)l(1+X12X2/(2(Lb'/ry)2))1/2 = Mn" = Ma" =(CbSxX1(2)11 2/(Lb"/ry)l(1+X12X2/[2(Lb"/ry)2]]1/2 = Design Strengths - Cantilever: For Lh<Lp : Top Flange: ObMn' = 420.0 ft -k Bottom Flange: ObMn"= 420.0 ft -k For Lp<Lb:<Lr : Top Flange: ObMn' = 278.4 ft -k Bottom Flange: ObMn" = 342.5 ft -k Where: ¢ = 0.9 Mn' = Cb{Mp-(MP Mr)I(Lb'-Lp)/(Lr Lp)l) = 309 ft -k Mn' = Cb{Mp-(Mp-M,)I(Lb"-Lp)/(LrLp)l) = 381 ft -k For Lb>Lr Top Flange: ObMn' = 260.0 ft -k Bottom Flange: ObMn" = 465.3 ft -k Where: = 0.9 7 Mn' = Mcr =(Cb5xX1(2)V2/(Lb'/ry)l[1+X12X2/[2(Lb'/ry)2]JV2 = Mnn = Mcr' =(CbSxX1(2)1'2/(Lb"/ry)l[1+X12X2/I2(Lb'/ry)2111/ 2 = N/A this case N/A this case N/A this case Governs for bottom flange ..: JUN 0 8 2017 Governs for top flange N/A this case 205 ft -k 1107 ft -k N/A this case N/A this case N/A this case Governs for bottom flange Governs for top flange N/A this case 289 ft -k 517 ft -k