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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 15 <br />Roof Support Beam B1, cont. <br />Design Strengths - Span: <br />For Lb<Lp : <br />Top Flange: 4Mn' = 124.5 ft -k <br />Bottom Flange: ON,,"= 124.5 ft -k <br />Where: = 0.9 <br />Mn = lesser of: 1) MP = FyZ., = 138 ft -k <br />2) 1.5My = 1.5FySX = 181 ft -k <br />For Lp<LbSLr <br />Top Flange: 4W= 93.3 ft -k <br />Bottom Flange: ON,," = 135.0 ft -k <br />Where: = 0.9 <br />Mn' = Cb{Mp-(Mp M,)[(Lb'-Lp)/(L,-Lp)]] = 103.7 ft -k <br />Mn" = Cb{MP (MP M,)[(Lb"-Lp)/(Lr- Lp)]] = 150.0 ft -k <br />Cb = 1.0 <br />Mr = FLSX = 96.7 ft -k <br />For Lb>Lr: <br />Top Flange: ObMn' = 105.7 ft -k <br />Bottom Flange: ObMn" = 1765 ft -k <br />Where: = 0.9 <br />Mn' = Mcr =[CbSxXl(2)1'2/(Lb'/ry)][1+Xl2X2/[2(Lb'/ry)2]]U2 = <br />Mn" = M,;,' =[CbSxXl(2)11 <br />2/(Lb"/ry)][1+XJ2X2/[2(Lb"/ry)2]]1/2 = <br />Design Strengths - Cantilever: <br />For Lb<Lp : <br />Top Flange: �bMn' = 124.5 ft -k <br />Bottom Flange: �bMn"= 124.5 ft -k <br />For Lp<Lh<Lr <br />N/A this case <br />Governs for bottom flange <br />Governs for top flange <br />N/A this case <br />JUN 0 8 2017 <br />IA <br />N/A this case <br />N/A this case <br />117 ft -k <br />1961 ft -k <br />N/A this case <br />Governs for bottom flange <br />Top Flange: ObMn' = 59.0 ft -k N/A this case <br />Bottom Flange: ObMn" = 135.0 ft -k N/A this case <br />Where: = 0.9 <br />M,'= Cb{Mp (Mp-Mr)[(Lb'-Lp)/(Lr Lp)]) = 65.5 ft -k <br />MI"= Cb{MP (Mp-Mr)[(Lb"-Lp)/(Lr Lp)]) = 150.0 ft -k <br />For Lb>Lr <br />Top Flange: ObMn' = 46.3 ft -k Governs for top flange <br />Bottom Flange: ON,," = 1765 ft -k N/A this case <br />Where: = 0.9 <br />Mn' = Ma' =[CbSxXl(2)"2/(Lb'/ry)][1+Xl2X2/[2(Lb'/ry)2]]U2 = 51 ft -k <br />Mn"= M.,' = [CbS.Xl(2)112/(Lb"/ry)][1+Xl2X2/[2(Lb"/ry)2]]112 = 1961 ft -k <br />