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11/13/2007 13:57 FAX <br />? 703/018 <br />Project, Pierce Adit Bulkhead. Sts,. 3+04 By ld'EL/JFA Date 10/29/07 <br />12' Thick, 12' Wide, 12' High, #6 Rebar_ Sheet 8 of 8 <br />Calculation equation for allowable shear strength (VJ at critical section of deep beam, <br />including rebar tensile reinforcement, <br />V, := K 1.9 + 2500•p,? vU d 12•bw d <br />Mu 12 <br />Maximum permitted calculated concrete shear strength (v,): (ACI 318-02, Sec 11.8.3) <br />vc:= 6•r ve = 329 psi <br />AS <br />Ratio of rebar reinforcement area Lo concrete area (p W), pW _• p, = 0.000261 <br />b",.• 12• d <br />Limiting value for term K = [3.5-2.5(M„/V„ d)] = 2.5 <br />&= 3.5 - 2.5 MU K = 3,306 Therefore, T := 2.5 <br />VU•d <br />12 <br />Allowable shear strength (Vc) at critical section of deep beam, <br />Vc K• 1.9•? + 2500•p„t M`? • l?? 12•bw•d <br />?? <br />VC = 473998 lb per 1-it wide horizontal deep beam <br />Limiting allowable shear force cannot exceed: <br />Vmax :_ vc bW 12 d Vma_ = 554076 <br />Factor of safety using the lower of calculated V, or Vmex in relation to maximum credible <br />earthquake loading induced factored nominal developed shear force (Vu) at critical section, <br />Vmax <br />FS = 7.058 <br />Vu