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11f13f2?0f 1;j:5H FAX <br />LQVIU/VI?J <br />Project, Steve Adit Bulk-bead, Sta. 2+65 By _ MEL/JFA Date 10130107 <br />10' Thick, 10' Wide, 10' High, 96 Rebar Sheet 8 of 8 <br />Calculation equation for allowable shear strength (VO at critical section oi'deep beam, <br />including rebar tensile reinforcement, <br />V <br />Vc := K• 1.9 f, + 2500•p tir u d • 12•bw.d <br />Mu 12 <br />i Maximum permitted calculated concrete shear strength (vc): (A.CI 318-02, Sec 11.8.3) <br />i <br />VC := 6 f? VC = 329 psi <br />AS <br />Ratio of rebar reinforcement area to concrete area (p W), pw - pW = 0.0003147 <br />b,v• 12•d <br />Limiting value for term K = [3.5-2.5(M,,/Vud)] = 2.5 <br />3.5 - 2.5 Mu K = 3.305 Therefore, 7???:= 2.5 <br />V„ • d <br />12 <br />I <br />Allowable shear strength (V) at critical section of deep beam, <br />Vc K. 1.9•? + 2500-pW- `? . d 12•bw•d <br />M„ 12 <br />Vc = 398894 lb per 1-ft wide horizontal deep beam <br />I <br />Limiting allowable shear force cannot exceed: <br />Vmax := vc-bW 12•d V,,£,x = 459430 <br />Factor of safety using the lower or calculated V, or V,,a,r in relation to maximum credible <br />earthquake loading induced factored nominal developed shear force (V,,) at critical section, <br />V max <br />S := FS = 7.667 <br />V„