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LEVELJBRENNEMAN BULKHEAD DESIGN CALCULATIONS <br />Notation: - <br />a = compression zone depth(in) minimum to balance rebar tension <br />A = area of rebar — in' <br />ft <br />b = beam width (1 in) <br />C = comp bending force (lb) <br />D = dead load (I <br />F = fluid load (39300) FS = factor of safety <br />f = square root of f c <br />f'r = rock cohesion ( >265 psi) <br />f;, = rebar yield strength (60000 psi) <br />h = tunnel height (9 ft) <br />K= (3.5 -2.5 -_ <br />d <br />e = tunnel width (9 ft) <br />M = nominal beam moment (ft•lb) <br />m = minimum cover, form face to <br />rebar surface (3.5 in) <br />s = distance of beam analysis (12 in) <br />U = required strength (—lb 1 <br />ft <br />V = nominal shear force (lb) <br />V„ = factored shear force (lb) <br />v = rebar shear stress (psi) <br />co = uniform load (lb ) <br />ft) <br />February 21, 1994 <br />A = area of shear reinforcement(in <br />b = web width (12 in) <br />c = centroidal distance (in) <br />d = distance, extreme compression <br />fiber to rebar centroid (32.5 in) <br />i {c = concrete comp strength (2500 psi) <br />f = concrete tensile strength (psi) <br />f = concrete shear strength (2 f': psi) <br />H = design water head (70 ft) <br />I = moment of inertia (in <br />L = beam length or depth (3 ft) <br />M = bending moment (ft-lb) <br />M„ = factored beam moment (ft-lb) <br />p = pressure head (30 psi) <br />S = section modulus (in <br />T = tensile bending force (lb) <br />V = concrete shear strength (lb) <br />V = rebar shear strength (lb) <br />v = concrete shear stress (psi) <br />W = bulkhead load (lb) <br />P = pressure gradient (psi 1 <br />ft <br />III I I <br />