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Madison Industries <br />Designed by: ML/JFB <br />August 4, 2016 <br />Job No: WCA17860-1 <br />Results of Strength Checks: <br />Customer: Mobil Fueling Canopy <br />Structure: 65'-0" x 54'-4" (4) Column Canopy <br />Location: Tracy, CA 95377 <br />Sheet 16 <br />Roof Support Beam B1, cont. <br />Span: Bending of <br />M,,,, (ft -k) <br />$hM_ (ft -k) <br />Top Flange: <br />26.5 <br />< 93.3 Beam is OK <br />Bottom Flange: <br />43.5 <br />< 125 Beam is OK <br />Cantilever: Bending of <br />Top Flange: <br />20.2 <br />< 46.3 Beam is OK <br />Bottom Flange: <br />43.5 <br />< 125 Beam is OK <br />Deflection Criteria: Following are recommended maximum allowable deflections; they are not req'd <br />since roof members are steel & don't support plaster. They are, however, used to <br />determine "Suggested Shape" above and may be exceeded at discretion of <br />design engineer. <br />Allowable Deflection in Span: <br />Max Due to LL (ALL) = U360 = <br />0.87 in <br />Max Due to DL + LL (ADL+LL) = L/240 = <br />1.3 in <br />Recommended Max Due to DL (ADL) _" <br />0.43 in <br />_ <br />Allowable Deflection in Left Cantilever: <br />Max Due to LL (ALL) = L/360 = <br />0.47 in <br />JUN 0 8 2017 <br />Max Due to DL + LL (ADL+LL) = L/240 = <br />0.71 in <br />Recommended Max Due to DL (ADL) _ " <br />0.24 in <br />Allowable Deflection in Right Cantilever: <br />ENWI QNi�3�';�;s",� };:�;_,_TH <br />Max Due to LL(ALL) — U360 = <br />0.47 in <br />�i=�'r`r`+f4v=�T <br />Max Due to DL + LL (ADL+LL) = L/240 = <br />0.71 in <br />Recommended Max Due to DL (ADL) _ " <br />0.24 in <br />Moment of Inertia Required in order not to exceed Allowable Deflection: <br />Case 1: Full DL + LL over span; DL on cantilever -- Checks critical deflection in span <br />DL Deflection: * <br />Ix = [5WDLL4/384-wDLa2L2/16-P1DLaL2/16-P2DLbL2/16]/EADL = <br />DL+LL Deflection: <br />Ix = [5WDL+LLL4/384-wDLa2L2/16-131DA2/16-13211A2/16]/EADL+LL = <br />LL Deflection: <br />Ix = [SwLLL 4/384]/FALL = <br />Case 2: Full DL + LL on left cantilever; DL on span -- Checks critical deflection <br />DL Deflection: * <br />IX[(P1DLa2)(L+a)/3+wDLa3(4L+3a)/24-WDLL3a/48]/EADL = <br />DL+LL Deflection: <br />Iz[(P1DL+LLa2)(L+a)/3+WDL+LLa3(4L+3a)/24-WDLL3a/48]/EADL+LL = <br />LL Deflection: <br />lx[(P1LLa2)(L+a)/3+WLLa3(4L+3a)/24]/FALL = <br />(End of Design for Roof Support Beam 131) <br />-49.3 in <br />38.8 in <br />82.8 in <br />317.7 in <br />401.5 in <br />443.3 in <br />