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v r " <br /> PROJECT: Cross Dock <br /> L� � 1ZMT FOR: Tuff Shed_Jeffery Beag <br /> '�' i t;': ADDRESS: 6501 Rainier Dr., <br /> 1NC Everett,WA <br /> SHEET#: 23 <br /> MATERIAL HANDLING ENGINEERING tchang <br /> BY: tchang <br /> EST t985 DATE: 6/11/2024 <br /> TEL:(909)869-0989 PN: 20240523 5 <br /> 1130 E,CYPRESS ST,COVINA,CA 91724 <br /> Equation for Maximum Considered Earthquake Base Rotation <br /> Per RMI 2012 Commentary 2.6.4 <br /> kc+kbe <br /> t 1 Wpihpt( kckbe ) as-the first iteration of the second order amplification term <br /> _ computed using W,,from section 2.6.4 of the Commentary <br /> as _ kbkce kc+kbe <br /> (Nc+Nb( k +k ) <br /> kckbe)( bce <br /> Where: #of levels 2 <br /> Wp, =the weight of the ith pallet supported by the storage rack min.#of bays 3 <br /> No 24 <br /> hp =the elevation of the center of gravity of the ith pallet Nb 8 <br /> with respect to the base of the storage rack k0 520 kip-in/rad <br /> N,, =the number of loaded levels kbe 5175 kip-in/rad <br /> kb =the rotational stiffness of the connector kb 356 kip-in/rad <br /> kr 1425 kip-in/rad <br /> kbe =the flexural rotational stiffness of the beam-end <br /> Ib 4.21 in4 <br /> kb =the rotational stiffness of the base plate L 144 in <br /> kee =the flexural rotational stiffness of the base upright-end Ic 1.18 in' <br /> N0 =the number of beam-to-upright connections H 98 in <br /> E 29500 ksi <br /> Ni, =the number of base plate connections <br /> Level hp, Wp; <br /> 6EIb 4EI EI 1 69 in 3 kip <br /> kbe= k = kb= ` <br /> L H H 2 122in 3kip <br /> L =the clear span of the beams <br /> H =the clear height of the upright <br /> Ib =the moment of inertia about the bending axis of each beam <br /> =the moment of inertia of each base upright <br /> E =the Young's modulus of the beams <br /> a,=0.16 <br /> Per RMI 2012 7.1.3 <br /> C (1+as)M Cd the deflection amplification factor per section 2.6.6 <br /> e = d b Mb=the base moment from analysis <br /> b k Oe 0.12 <br /> b <br /> Per RMI 2012 2.6.6, <br /> in unbraced direction,seismic separation for rack structure is 0.05 h,ot,.Therefore <br /> tanO„,a 0.5 O =2.862 rad Ob ok <br /> Maximum moment in base plate <br /> M ac if one anchor,then 0 OR(#of anchors/2)*anchor pull out capacity*spacing of anchor(Sx) <br /> M,,c 9,644 kip-in >_ Mb OK <br />