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American Tunnel bu.Lkheads #2 & #3 Page lD January 15, 2001 <br /> Appendix A. American Tunnel Bulkhead #2 design calculations (Continued) <br /> Check for adequacy <br /> Allowable M„, =—58,800A, +6,990,OOOA, = 16,070,000 in-lb <br /> Design M„, = 14,320,OOOin-lb <br /> FS = 14320 0 = 1.12 for the inbye (upstream) side of the 10-ft thick bulkhead under <br /> maximum earthquake loading <br /> Loads to be carried by outbye (downstream) side rebar of bulkhead resulting from maximum credible <br /> earthquake acceleration of the inbye fluid (F) and bulkhead (E) masses bearing on a 10-ft <br /> thick bulkhead. <br /> _ SyyNhQ+Lhfyo — [1280(62.4)14(13.S�d0(14)13.5(151)] — [13,100,000+285,400] — Ib_2 <br /> 9 — 32.2 — 32.2 —477,800 ft <br /> E E. =E,,,a =477,800(0.087) =41,600 lb <br /> E _ Y-Em — 41600 = 2 9 70 lb <br /> h — 14 ) 8 <br /> Total load under maximum earthquake acceleration for American Tunnel bulkhead #2, under <br /> 640-ft hydraulic head: <br /> _ Hyw _ 640(62.4) =277 Sl <br /> p— 144 — 144 P <br /> F=pb,v(12) =277(12)12 =39,890 a <br /> UQ = 1.05F + 1.40E= 1.05(39890) + 1.40(2970)=41,880 +4,160 <br /> U. =46,040 n <br /> Earthquake nominal beam bending moment <br /> u 1 <br /> a 049,46040(13.s2) <br /> Mom = s = 000 ft-lb= <br /> Mn <br /> 0.9 — 100 9� <br /> Mua = — 1,166,000 ft-lb (13,990,000 in-lb) <br /> - - <br /> Steel area required for earthquake loading: <br /> 58800A2 - 6,990,000AS + 13,990,000=0 <br />