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11/13/2007 13:57 FAX <br />Project, Steve Adit Tunnel BuIldie id. Sta. 2+65 <br />10' Thick, 10' Widc, 101 Rich, #6 Rebar <br />Notation continued: <br />Vn = nominal concrete shear strength (lb/ft) <br />V, = factored concrete shear strength (lb/ft) <br />V.4 = rebar shear stress (psi) <br />W = total bulkhead load (lb) <br />Z = height of rock to prevent hydroli-ac (ft) <br />Aovb = overburden rock stress per ft depth (ft) <br />coj, = factored static fluid bulkhead load (psf) <br />= factored static fluid bulkhead <br />earthquake load (psf) <br />coin = factored line-of=sight fluid <br />earthquake bulkhead load (psf) <br />Wtbe = factored concrete bulkhead <br />earthquake load (psf) <br />? 0121018 <br />By M EL/JFA Date 10/30/07 <br />Sheet 2 of 8 <br />Inputs continued: <br />Load inereasi design factors <br />fluid static load, ?F., := 1.40 <br />Earthquake acceleration cf static fluid epfc := 1.05 <br />load, <br />Earthquake acceleration of line-of-sight OL.a 1.40 <br />impounded 17uid and F. ullchead loads, <br />v„ i = nominal limiting shear stress, wb/Lt<2 (psi) <br />vie = nominal limiting shear stress, wb/L,= 2-5 (psi) <br />a'y = flexural st•1•ess (psi) <br />amingh = tniminum conuict grout pressure (psi) <br />c,,,aNgp = maximum conurct grout pressure (psi) <br />Bulkhead length for allowable hydraulic pressure Gradient: <br />H --1,, <br />Maximum (design) hydraulic pressure, p := 144 psi p = 52 psi <br />B w''?I w <br />Minimum contact grout pressure, Umingp := 144 psi Cymingp = 49.8 psi <br />2 <br />' Bw•1'r <br />Maximum contact grout pressure, Urnaxgp :_ <br />144 psi Qmaxgp 260 psi <br />= <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, L11i, := 1 ft L1,p = 1.27 ft <br />Depth below surface to prevent hvdrofrac of rock around tunnel: <br />Available formation breakdown pressure, <br />Overburden pressure, per ft of depth, <br />Height of rock to prevent hydrofrac, <br />BP p <br />Dovb 144 <br />Z BP <br />2•Dovb <br />131, = 52 psi <br />da,,b = 1.132 psi/ft <br />Z=23 ft