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PROJECT: Cross Dock <br /> '.SE�ZMIG FOR: Tuff Shed_Jeffery Beag <br /> 4a `: ADDRESS: 6501 Rainier Dr., <br /> ,INC i Everett,WA <br /> SHEET#: 7 <br /> MATERIAL HANDLING Et1GINEERING CALCULATED BY: tchang <br /> EST.1985 DATE: 6/11/2024 <br /> TEL:(909)869-0989 PN: 20240523 5 <br /> 1130 E.CYPRESS ST,COVINA,CA 91724 <br /> Fundamental Period of Vibration(Longitudinal) <br /> Per FEMA 460 Appendix A-Development of An Analytical Model for the Displacement Based Seismic <br /> Design of Storage Racks in Their Down Aisle Direction <br /> GNL1 Wpihpi2 <br /> T = 2rt (A-7) <br /> g(N `kk+ kbe)+Nb(kb+keel� <br /> Where: #oflevels 2 <br /> W,, =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 ko 520 kip-in/rad <br /> g =the acceleration of gravity kbo 5175 kip-in/rad <br /> N� =the number of loaded levels kb 356 kip-in/rad <br /> kc 1425 kip-in/rad <br /> k =the rotational stiffness of the connector <br /> Ib 4.21 in4 <br /> ko =the flexural rotational stiffness of the beam-end L 144 in <br /> kb =the rotational stiffness of the base plate I. 1.18 in4 <br /> kCe =the flexural rotational stiffness of the base upright-end H 98 in <br /> E 29500 ksi <br /> N, =the number of beam-to-upright connections <br /> Level h, Wp1 <br /> Nb =the number of base plate connections 1 69 in 3 kip <br /> 6EI, 2 122 in 3 kip <br /> _ <br /> L <br /> 4EL <br /> kc,= <br /> H <br /> EI <br /> kb= ° <br /> H <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 /> Io =the moment of inertia of each base upright <br /> E =the Young's modulus of the beams <br /> Calculated T= 1.28 <br />