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11/13/2007 13:56 FAX Z003/018 <br />Project, Pierce Adit Tunnel Bulkhead Stn. 3+04 By M.EL/JFA Date 10/30/07 <br />_12' Thick, 12' Wide, 12' Hiah, #6 Rebar <br /> Sheet 2 of 8 <br />Notation continued: Nuts continued: <br />V„ = nominal concrete shear strength (lb/ft) Load increase design factors <br />V, = factored concrete shear strength (lb/ft) Fluid static load, '- 1.40 <br />V, = rebar shear stress (psi) Earthquake acceleration of static fluid fife := 1.05 <br />W = total bulkhead load (lb) load, <br />Z = height of rock to prevent hydrofrac (ft) Earthquake acceleration. of line-of-sight 0 <br />:= 1.40 <br />A,,,b = overburden rock stress per ft depth (ft) ,a <br />impounded fluid and bulkhead loads, <br />cots = factored static fluid bulkhead load (pst) v„] = nominal limiting sl-iear stress, wi,/Lt<2 (psi) <br />a)l;c =factored static fluid bullchead vn2 = noiiiinal limiting shear stress, cob/Lt= 2-5 (psi) <br />earthquake load (psf) <br /> QS = flexural stress (psi) <br />con,, =factored line-of-sight fluid <br /> <br />earthquake bulkhead load (psf) 6,,,;ngp = minimum contact t grout pressure (psi) <br /> a,,,,,csI) = maximum contact grout pressure (psi) <br />o)fbe = factored concrete bulkhead <br />earthquake load (psf) <br />Bulkhead IenQth for allowable hydraulic pressure grat,dient: <br />Maximum desi n h draulic ressure II yW <br />( g) Y P P '- 144 psi p = 52 psi <br />Bw'"1'w <br />Minimum contact grout pressure, Qn,ingp P' si <br />144 viningp = 54.2 psi <br />2.$w.?(r <br />Maximum contact grout pressure, 01inaxgp :- <br />144 psi Qmaxgp = 283 P5i <br />Allowable 41 psi/ft pressure gradient for low-pressure grouting of upper part of concrete/rock contact: <br />Required bulkhead thickness for low-pressure contact grouting, LI,p := A ft LI,p = 1.27 ft <br />41 <br />Death below surface to prevent hydrofrac of rock around tunnel: <br />Available formation breakdown pressure, Bn p B13 = 52 psi <br />Overburden pressure, per ft of depth, ?ovb Ir4 povI, = 1.132 psi/fr <br />14 <br />13p <br />Height of rock to prevent hydrofrac Z Z = 23 ft <br />2'Aovb