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Madison Industries Designed by: ML/JFB August 4, 2016 Job No: WCA17860-1 Customer: Mobil Fueling Canopy Structure: 65'-0" x 54'-4" (4) Column Canopy Location: Tracy, CA 95377 Roof Support Girder G1, cont. Sheet 26 Factored Service Load Moments: Bottom flanges cantilever & span in compression: Case 1: Full DL + LL over entire beam -- Checks critical negative bending in span & cantilever M"„(cant) = Mu"(span) = (Wu2)a2/2 + (P1u2)(a) +(P2u2)(b) = 249 ft -k Top flange span in compression: Case 2: Full DL + LL over span; DL only on cantilever -- Checks critical positive bending in span Case 2A: Actual loads Mu'(span) = (P3u2)(C) + (Wu2)L2/8 - (0.9WDL)(a2)/2 - (P1A(a) - (P2.3)(b)= 9.2 ft -k Case 213: For roof members Is this a roof member? (y/n) y Mu'(span) =(P3ut)(c)+(wu1)L2/8-(0.9WDL)(a2)/2-(P1u3)(a)-(P2u3)(b)+P'U4 = -26.4 ft -k Where P'= (1.4)(200 lbs) if tributary area < 200 ft2 or (1.4)(2000 lbs) per UBC 1994 Section 1605.2.3 Factored moment for design of span top flange = M,,'(span) = 9.2 ft -k Bottom flange span & top flange cantilever in compression: Case 3: Full DL + WIND UPLIFT over entire length -- Checks crit. neg. bending stress in span & crit. pos. bending stress in cantilever mull l(span) _ (Wu3)L2/8 - (P30)(C) = Mu'(cant) = (Wu3)a2/2 - (P100) - (P200) = Factored service load design moments: Top flange span in compression: Bottom flange span in compression: Top flange cantilever in compression: Bottom flange cantilever in compression Unbraced Length Limits: Lp = 300ry/sgrt(Fy) = L, = ryXt/Ft_(1+sgrt(1+X2FL2))1/2 = Where: Xt = (7E/Sx)(EGJA/2)1/2 = X2 = (4Cw/ly)(Sx/GJ)2 = FL=(Fy-10)= Mu (span) = Mu (span) = Mu (cant) = Mu (cant) = 5.9 ft 16.15 ft 2112 0.009 40 ks i 29.7 ft -k 39.7 ft -k 9.2 ft -k 249.2 ft -k 39.7 ft -k 249.2 ft -k JUN 0 8 2017