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<br />40 009/019 <br />Project, Pierce Adit Bulkhcad. Sta. 3+04 By lg EVJFA Date 10/29/07 <br />12' Thick, 12' Wide, 12' Hieh, #6 Rebar_ Sheet 8 of 8 <br />Calculation equation for allowable shear strength (V,) at critical section of deep beam, <br />including rebar tensile reinforcement, <br />VC := K. 1.9 f, + 2500-p,,; VU • d 12•bw.d <br />MU 12 <br />Maximum permitted calculated concrete shear strength (v,): (ACA 318-02, Sec 11.8.3) <br />VC := 6 f? vc = 329 psi <br />AS <br />Ratio of rebar reinforcement area to concrete area (p,,), PW ;- -• pW = 0.000261 <br />b,.• 12. d <br />Limiting value for term K = [3.5-2.5(Nl„/V,,d)] = 2.5 <br />M <br />3.5 - 2.5. U K = 3.306 Therefore, T,&:= 2.5 <br />VLI <br />12 <br />Allowable shear strength (Vc) at critical section of deep beam, <br />Vc := K. 1.9-F + 2500•pw V`? d 12•bW•d <br />ML, 12 <br />Vc = 473998 lb per 1-it wide horizontal deep beam <br />Limiting allowable shear force cannot exceed: <br />Vrnax := v,.b,;,•12•d Vmax = 554076 <br />Factor of safety using the lower of calculated Vc or V„„ix in relation to maximum credible <br />earthquake loading induced factored nominal developed shear force (.V J at critical section, <br />v1113X <br />FS = 7.088 <br />V L,