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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 23 <br />Roof Support Beam B3, cont. <br />Design Strengths - Span: <br />For Lb<LP : <br />Top Flange: ObMn' = 124.5 ft -k <br />Bottom Flange: �bMn"= 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<Lh<Lr <br />Top Flange: ObMn' = 93.3 ft -k <br />Bottom Flange: ObMn" = 135.0 ft -k <br />Where: = 0.9 <br />Mn' = Cb{MP (Mp-Mr)I(Lb'-Lp)/(Lc Lp)]} = 103.7 ft -k <br />Mn, = Cb{Mp-(MP-Mr)I(Lb"-Lp)/(Lr Lp)]) = 150.0 ft -k <br />Cb = 1.0 <br />Mr = FLS, = 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 = ICbSxXl(2)1'2/(Lbs/ry)][1+Xl2X2/I2(Lb'/ry)2]]1/2 = <br />Mn" = M.r" =(CbSxX,(2)1/2/(Lb„/ry)]I1+XJ2X2/[2(Lb"/ry)2]]112 = <br />Design Strengths - Cantilever: <br />For Lb<Lp : <br />Top Flange: �bMn' = 124.5 ft -k <br />Bottom Flange: ON,,"= 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 S 2017 <br />N/A this case r <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)I(Lb'-Lp)/(Lc Lp)]) = 65.5 ft -k <br />Mn„ = Cb{Mp-(MP Mr)[(Lb"-Lp)/(Lr Lp)]} = 150.0 ft -k <br />For Lb>Lr: <br />Top Flange: Wn' = 46.3 ft -k Governs for top flange <br />Bottom Flange: Wn" = 1765 ft -k N/A this case <br />Where: = 0.9 <br />Mn' = Mcr = ICbSxXl(2)1"/(Lbs/ry)]I1+Xi2X2/[2(Lb,/ry)2]]1/2 = 51 ft -k <br />Mn„ = Mr,' = ICbSxXl(2)112/(Lb"/ry)]I1+Xi2X2/[2(Lb"/ry)2]]112 = 1961 ft -k <br />