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TABLE 6 <br /> SEISMIC INDUCED PERMANENT DISPLACEMENT EVALUATION-COVER <br /> FORWARD LANDFILL <br /> PROCEDURE USED-Bray and Rathje(1998) and Bray et al (1998) <br /> INPUT DATA: <br /> SITE CONDITION-ALLUVIUM <br /> FILL HEIGHT,H, feet 20' 40' 60' 80 <br /> SHEAR WAVE VELOCITY,VS,ft/sec 575 600 625 650 <br /> (from Bray, et al., (1998),Figure 3) <br /> EARTHQUAKE MAGNITUDE for the MCE: 6.7(on the Great Valley 7-20 miles away) <br /> MAXIMUM HORIZONTAL SITE ACCELERATION,k.,, 0.15g (mean value for the <br /> MCE for the Site) <br /> SIGNIFICANT DURATION-D5_95 -15 Sec. (for the MPE, <br /> Bray et al, 1998) <br /> YIELD ACCELERATION,ky 0.225g(minimum value <br /> for all cases from pseudo- <br /> static analysis for cover <br /> component,Tables 1-3) <br /> CALCULATION: <br /> MEAN PERIOD OF SHAKING, for the MCE: Tm =0.54 Sec. (Bray et al ,1998) <br /> FILL HEIGHT,H, feet 20' 40' 60' 80' <br /> PREDOMINANT FILL PERIOD,Ts, sec 0.14 0.27 0.38 0.49 <br /> (TS=4H/VS) <br /> RATIO Ts/Tm = 0.26 0.50 0.70 0.91 <br /> RATIO MHEA/MHA x NRF= 1.61 1.41 1.18 1.06 <br /> (from Bray and Rathje(1998),Figure 8b) <br /> Where- MHEA-Maximum Horizontal Equivalent Acceleration of the fill=kmax <br /> MHA -Maximum Horizontal Site Acceleration <br /> NRF -Nonlinear Response Factor= 1.3 (Bray&Rathje, 1998,Figure 6b). <br /> Thus, calculate: <br /> FILL HEIGHT,H, feet 20' 40' 60' 80 <br /> MHEA(or kmax): 0.31 0.27 0.23 0.21 <br /> Multiply by 1.25 to account for 2D effects: 0.39 0.34 0.29 0.26 <br /> Ratio of ky/kmax = 0.58 0.66 0.78 0.87 <br /> Calculate Displacement,U, from Figure 13 of Bray and Rathje(1998): <br /> FILL HEIGHT,H, feet 20' 40' 60' 80' <br /> DISPLACEMENT,U,inches: 0.8" 0.4" <0.1" <0.1" <br />