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Terry Tunnel Bulkhead #2 Page 7 August 17, 2000 <br /> Appendix A. Terry Tunnel near portal bulkhead design calculations <br /> Notation: <br /> a= compression zone depth(in) minimum to balance rebar tension <br /> A5= area of rebar b =beam width (1 ft) <br /> by=web width (12 in) Bp =formation breakdown pressure (psi) <br /> C = comp bending force (lb) c= centroidal distance (in) <br /> D = dead load(fl) d = distance, extreme compression fiber to <br /> Ib <br /> E = earthquake load ($) rebar centroid (in) <br /> E,„ =earthquake mass ib ft z) EE =total earthquake load (lb) <br /> F = fluid load n) FS = factor of safety <br /> fr, = concrete comp strength (3,000 psi) = square root of f4, <br /> f,, = concrete tensile strength (50 f, psi) fs = concrete shear strength (psi) <br /> fy = rebar yield strength(60,000 psi) g= acceleration due to gravity (32.2 Z <br /> H= design water head (469 ft) h=tunnel height (13 ft) <br /> I = moment of inertia K= (3.5—2.5 a° <br /> L=bulkhead (beam) thickness 1 =tunnel width(12.7 ft) <br /> M=bending moment (ft lb) M„=nominal beam moment (ft lb) <br /> M„= factored beam moment (ft lb) M.= earthquake beam moment (ft lb) <br /> m,=minimum cover, form face to S = section modulus (in 3) <br /> rebar surface (3.5 in) S,=line-of-sight distance (3500 ft) <br /> T =tensile bending force (lb) U= required strength a <br /> U.= earthquake required strength V, = concrete shear strength (lb) <br /> Vn= nominal shear force(lb) V.= rebar shear strength (lb) <br /> Vu=factored shear force (lb) v,= rebar shear stress (psi) <br /> Lb <br /> W=total bulkhead load (lb) co=uniform load . <br /> fl <br /> a= earthquake acceleration (0.087 ft2 p=pressure head (203 psi) <br /> sec <br /> pB =pressure gradient psi <br /> pw = ne <br /> bw,d <br /> = strength reduction factors yw =water density(62.4PCF) <br /> 0.90 flexure rebar tension y� =concrete density (151PCF) <br /> 0.85 concrete shear yr =rock density(173 PCF) <br /> 0.65 plain concrete flexure or, =flexure stress (psi) <br /> co=uniform bulkhead design load Z =bulkhead design depth (200 ft) <br /> Load factors (ACI 318, Sec 9.2.2, 9.2.3, 9.2.5) <br /> Static fluid load factor(F) = 1.4; <br /> Factor for fluid load under earthquake acceleration (F) = 1.05; <br /> Earthquake accelerated load factor(E) = 1.40 <br />