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Project Design Mogul Tunnel Bulkhead By JFA Date 8121103 <br />10.6' x 9.5' 1 9' Thick. Station 2+411 <br />Sheet 5 of 6 <br />Critical section shear strength for 9-ft thick reinforce_d_c~oncrete deep-beam bending <br />stress desiEn for earthquake acceleration: <br />Deep beam defined as Ud<5 (ACI 318-95, Sec 11.8.1). This is the case for earthquake acceleration of <br />0.094g and critical section sheaz at 0.151(1.20 ft) from ribside (ACI 318-95, Sec 11.8.5). <br />1•(12) = 1.217 < 5 Therefore, this is a deep beam for design! <br />a <br />v „ -nominal shear stress shall not be greater than 8 times sq rt of f ~ when Ud < 2 (ACI 318-95, <br />Sec 11.8.7) <br />Limiting values: v n := 8• 3000 v n = 438.2 psi <br />V n := v n•12•b µ,•d V n = 549475 16/ft, limiting sheaz force per foot of beam <br />width <br />Developed sheaz force at critical section: <br />V n := 0.35 •u •] V n = 87643 ]b/ft, nominal shear force per foot of beam <br />width <br />v <br />V u :_ -° V u = 103109 lb/ft, factored sheaz force per foot of beam width <br />0~ <br />Developed moment at critical section: <br />M n := 0.06375 • °° ZlZ) M n = 84606 ft-lb, nominal critical bending moment per foot of <br />beam width <br />M <br />M u :_ ° M u = 94007 ft-Ib, factored critical bending moment per foot of beam <br />~ rt width <br />Permitted concrete sheaz strength (v ~): <br />Limiting vaiue for v~ : v o := 6 f c (ACI 318-95, Sec 11.8.7) <br />ve:=6 f~ ve=328.6 psi <br />Limiting value for term K = [3.5-2.5(Ma/V ud)] _ <br />2.5 2.5 •M u <br />K:=3.5- K=3.238 <br />V u•d <br />12 <br />Therefore, K := 2.5 <br />