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GOLD PRINCE MINE MAIN BULKHEAD DESIGN CALCULATIONS August 18, 1993 <br /> Notation: <br /> a=compression zone depth(in) minimum to balance rebar tension <br /> Aa=area of rebar b=beam width(1 in) <br /> ba,=web width(12 in) C=comp bendin force(lb) <br /> c=centroidal distance(in) D=dead load (1b <br /> 8 <br /> d=distance, extreme compression fiber to rebar centroid (in) <br /> E=earthquake load (lb) E.= earthquake mass (%.secs) <br /> ft m ft J <br /> YE=total earthquake load (lb) F=fluid load (ft) <br /> FS =factor of safety fc =concrete comp strength(psi) <br /> fc = square root of fc fcl =concrete tensile strength(psi) <br /> fs =concrete shear strength(2 psi) fy =rebar yield strength(psi) <br /> g=acceleration due to gravity(32.22 ) H=design water head (20 & 65 ft)* <br /> SeC <br /> h=tunnel height (ft) I=moment of inertia <br /> K= (3.5—2.5 d°) L=beam length or depth(ft) <br /> l =tunnel width(ft) M=bending moment(ft-lb) <br /> K=nominal beam moment (ft-lb) K=factored beam moment (ft-lb) <br /> M,.=earthquake beam moment (ft-lb) m,=minimum cover, form face to <br /> rebar surface(in) <br /> S =section modulus S,=line-of-sight distance(ft) <br /> T=tensile bending force(lb) U=required strength (Lb) <br /> ft <br /> U.=earthquake required strength Vc=concrete shear strength(lb) <br /> V.=nominal shear force(lb) V.=rebar shear strength(lb) <br /> V.=factored shear force(lb) v$=rebar shear stress(psi) <br /> W=bulkhead load (lb) co =uniform load (lb)ft <br /> a =earthquake acceleration (0.087--L2) p =pressure head(psi) <br /> SOCpg =pressure gradient (ftl) p _ A. <br /> bqd <br /> =strength reduction factors Yp =water density(62.4PCF) <br /> 0.90 flexure rebar tension yv, =concrete density(151PCF) <br /> 0.85 concrete shear a =flexure stress (psi) <br /> 0.65 plain concrete flexure <br /> * "20 ft water head required to back water into Sunnyside Mine; <br /> 65 ft water head required to push water to ground surface above tunnel bulkhead location 150 ft <br /> from portal <br /> 1 <br />