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American Tunnel bulkheads #2 & #3 Page 13 January 15, 2001 <br /> Appendix A. American Tunnel Bulkhead #2 design calculations (Continued) <br /> v" - nominal shear stress shall not be greater than 8 f. when d < 2 <br /> (ACI 318-95, Sec 11.8.4) <br /> Limiting value: v" <8 3 000 <438 psi V"<(v.)b,,,d <(438)12(116.5)<612,300 lb <br /> V"= iA —(i¢)(o") =0.35coQ = 0.35(55800)13.5 =263,700 lb <br /> _ = <br /> V. I1311 = 310,200 lb <br /> — 0.s5 0.85 <br /> ( 2`�—)(0.15 Q)—co(0.15 Q)0"" = 0.06375�2 = 0.06375[55100(13.52)) <br /> M„= 324,200 ft•lb <br /> 1 0.9 — 324200 <br /> 0.9 - 360,200 ft•lb <br /> V, =K(1.9 f. +2500p,v Md)bWd <br /> K= 3.5 - 2.5a = 3.5 - 2.51 36020065 1 = 3.5 - 0.30 = 3.20 <br /> L 310200(12 ) J <br /> K cannot exceed 2.5 Therefore K=2.5 <br /> _ A _ 2.11 = 0.001817 Trial, #10 bars on 6-in centers, two-way <br /> p� — bwd — (12)116.5 <br /> Vc=K(1.9 f'C +2500pw Md)bwd <br /> 310200(�123) <br /> Vc=2.5 1.9 3000 +2500(0.001817) 360200 12(116.5) <br /> Vc = 2.5[104.1 +38.0]1398 = 2.5[142.1]1398 =496,600 lb <br /> Allowable Vc<—(6 e.)bwd<(6 3000 )12(116.5) =459,4001b (ACI 318-95, Sec 11.8.7) <br /> Therefore FS — v° as <br /> — " = 1.48 <br /> — V„ — 310200 <br />