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Madison Industries <br />Designed by: ML/JFB <br />August 4, 2016 <br />Job No: WCA17860-1 <br />Results of Strenath Checks: <br />Span: Bending of <br />Top Flange: <br />Bottom Flange: <br />Cantilever: Bending of <br />Top Flange: <br />Bottom Flange: <br />Customer: Mobil Fueling Canopy <br />Structure: 65'-0" x 54'-4" (4) Column Canopy <br />Location: Tracy, CA 95377 <br />Roof Support Girder G1, cont. <br />M_ (ft -k) <br />$hM_ (ft -k) <br />Max Due to DL + LL (ADL LL) = U240 = 1.1 in 7n," <br />/"�r__;1Recommended <br />9.2 <br />< 184.9 <br />Beam is OK <br />249.2 <br />< 394.4 <br />Beam is OK <br />39.7 <br />< 260.0 <br />Beam is OK <br />249.2 <br />< 342.5 <br />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. <br />They are, however, used to determine "Suggested Shape" below and may <br />be exceeded at discretion of design engineer. <br />Allowable Deflection in Span <br />Sheet 28 <br />Max Due to LL (ALL) = L/360 = 0.7333 in <br />Max Due to DL + LL (ADL LL) = U240 = 1.1 in 7n," <br />/"�r__;1Recommended <br />., <br />Max Due to DL(ADL) = * 0.367 in, ,--� <br />Allowable Deflection in Cantilever: <br />��y <br />2017 <br />Max Due to LL (ALL) = L/360 = 1.1667 in <br />Max Due to DL + LL (ADL+LL) = L/240 = 1.75 in_ <br />Recommended Max Due to DL (ADL) _ * 0.583 in ENV ��� { ���'� <br />_ <br />F —ALTH <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= 15WDLL4/384+(P3DLc)(3L2-4c2)/24-woLa2L2/16-P1pLaL2/8-P21)LbL2/8]/EADL= <br />-398.9 in <br />DL+LL Deflection: <br />Ix=15WDLILLL4/384+(P3DL+LLc)(3L2-4c2)/24-wDLa2L2/16-P11A2/8-P2DLbL2/8]/EADL+LL= <br />-23.81 in <br />LL Deflection: <br />Ix= [5wLLL4/384+(P3LLc)(3L2-4c2)/24]/EALL= 163.74 in <br />Case 2: Full DL + LL on cantilever; DL on span -- Checks critical deflection in cantilever <br />DL Deflection: * <br />Ix =[(wDL)(a3)(4L+3a)/24+(P1DLa2)(L+a)/3+(P2DLb2)(L+b)/3-wDLL3a/48-(P3DLac)(L-c)(3L)/12L]/[E(ADL)] = 963.96 in4 <br />DL+LL Deflection: <br />=[(wDL+LL)(a3)(4L+3a)/24+(P1DL+LLa2)(L+a)/3+(P2DL+LLb2)(L+b)/3-wDLL3a/48-(P3DLac)(L-c)(3L)/12L]/(EADL+LL) = 1133.3 in <br />LL Deflection: <br />Ix =[(wLL)(a3)(4L+3a)/8+(P1LLa2)(L+a)+(P2LLb2)(L+b)]/(3EALL) = 1218 in <br />* DL deflections are for information only; they are not used for sizing members <br />Min Moment of Inertia suggested for both Cantilever and Span = 1133 in <br />(End of Design for ) <br />