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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 />Roof Deck, cont. <br />Check Cantilevered End (a): <br />Positive Bendina <br />Max. allowable moment for positive bending (Wind Uplift): <br />Procedure I - Based on Initiation of Yielding <br />(Procedure II strain check produces same result) <br />Nominal Moment (Mnp) = SepFy = 19.53 in -k <br />Allowable Moment (Map) = Mnp/S2f= 11.7 in -k <br />Where of = 1.67 (Factor of Safety) <br />Actual positive bending moment <br />Map = (wWIND UPLIFT- wDL)(a2)/2 - PDLa = 0.5 In -k <br />Since map < Map, 20 ga. Sheet Metal Deck Span is OK for Positive Bending <br />Negative Bendina <br />Case 1: DL+LL <br />Max Allowable Moment for negative bending (DL+LL): <br />Procedure I - Based on Initiation of Yielding <br />(Procedure II strain check produces same result) <br />Nominal Moment (Mnn) = SenFy = 15.05 in -k <br />Allowable Moment (Man) = Mnn/Of = 9.0 in -k <br />Where S4 = 1.67 (Factor of Safety) <br />Actual negative bending moment <br />Man = (wDL+LL)(L2)/2 + (PDL+LL)(a) = 3.9 in -k <br />Sheet 10 <br />JUN G S 2017 <br />Since man < Man, 20 ga. Sheet Metal Deck Cantilevered End is OK <br />Case 2: DL + Wind Down <br />Max Allowable Moment for negative bending (DL + Wind Down): <br />Allowable Moment (Man) = Mnn/nf = 9.0 in -k (see above) <br />Actual negative bending moment <br />man = (wDL)(a2)/2 + (PDL+PWIND)(a) — 4.7 in -k <br />Since man < Man, 20 ga. Sheet Metal Deck Cant. End is OK for Negative Bending <br />Selected Roof Deck Section: (See following pages for calculated properties) <br />Gauge of Deck Used = 20 ga. Material = A653 <br />Sep = 0.391 in Fy = 50 ksl <br />Sen = 0.301 in E = 29000 ksl <br />