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Madison Industries <br />Designed by: ML/JFB <br />August 4, 2016 <br />Job No: WCA17860-1 <br />fE a ��`—�I <br />'x' is measured from R2 <br />Customer: Mobil Fueling Canopy <br />Structure: 65'-0" x 54'-4" (4) Column Canopy <br />Location: Tracy, CA 95377 <br />Sheet 9 <br />Roof Deck <br />PDL — <br />PLL — <br />PWIND DOWN — <br />DL= <br />LL = <br />R2 Wind uplift load (enter negative number) = <br />Deck Wt = <br />Tributary Loading Strip = <br />WDL = <br />WILL — <br />wDL+LL — <br />WWIND UPLIFT — <br />WSELF WEIGHT OF DECK — <br />Check Span U: L = <br />Positive Bendina <br />Max. allowable moment for positive bending (DL+LL on span; DL on cant.): <br />Procedure I - Based on Initiation of Yielding <br />(Procedure II strain check produces same result) <br />Nominal Moment (Mnp) = SepF, = 19.53 in -k <br />Allowable Moment (Map) = MnP/Of = 11.7 in -k <br />Where Of = 1.67 (Factor of Safety) <br />Actual positive bending moment <br />R2 for this case = 180 lbs <br />Pt. to max. moment = x = 5.8 ft <br />Map = (R2)(x)/2 = 6.3 in -k <br />a= <br />20 lbs <br />0 lbs <br />70 lbs <br />3.26 psf <br />20 psf <br />-14.5 psf <br />2.95 plf <br />1.33 ft <br />4.33 plf <br />26.6 plf <br />30.9 plf <br />-19.3 plf <br />2.951 plf <br />12.25 ft <br />4.00 ft <br />JUN 0 8 2017 <br />Eqte1;0T!?M'7`,' -,..l` F ALT; <br />Since maP < Map, 20 ga. Sheet Metal Deck Span is OK for Positive Bending <br />Negative Bendina <br />Max Allowable Moment for negative bending (Wind Uplift): <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 Of = 1.67 (Factor of Safety) <br />Actual negative bending moment <br />Man = f wWIND UPLIFT- WDL)(L2)/8 = 3.4 in -k <br />Since man < Man, 20 ga. Sheet Metal Deck Span is OK for Negative Bending <br />