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A target acceleration response spectral envelope was developed for each of the MCE/MPE candidate <br /> events using the median and 84'" percentile acceleration response spectra evaluated using the <br /> Abrahamson and Silva [1997] attenuation model. Based upon the target significant duration of strong <br /> ground shaking and acceleration response spectral envelope for each candidate event, the following <br /> four time histories were selected to represent ground motions at hypothetical bedrock outcrop at the <br /> site: <br /> The 270-degree component of the Saratoga-Aloha Avenue record from the Mme.6.9 Loma <br /> Prieta earthquake, scaled to either 0.19 g to represent the NICE or to 0.13 g to represent the <br /> MPE; <br /> The 315-degree component of the Santa Teresa Hills record from the M,6.9 Loma Prieta <br /> earthquake, scaled to either 0.19 g to represent the NICE or to 0.13 g to represent the MPE; <br /> The 360-degree component of the Corrahtos-Eureka Canyon Road record from the Mw. 6.9 <br /> Loma Prieta earthquake,scaled to either 0.19 g to represent the NICE or to 0.13 g to <br /> represent the MPE; and <br /> The Magnitude 8+synthetic accelerogram generated by Seed and Idriss [1969] to simulate <br /> distant large-magnitude event on the San Andreas fault, scaled to 0.10 g to represent both <br /> the MCE and MPE. <br /> 3.2 Analytical Method <br /> The slope stability analysis was performed using the computer program SLOPEW. SLOPEW <br /> calculates slope stability using a limit equilibrium analysis based on the method of slices. The method <br /> of slices estimates slope stability by assuming a shear surface and calculating the forces that would <br /> cause slope movement, and the forces resisting slope movement for the selected shear surface. The <br /> ratio of available shear strength (resisting forces) to mobilized shear strength (driving forces) is <br /> known as the factor of safety. SLOPEW employs a searching routine to determine the critical shear <br /> surface with the minimum factor of safety. A factor of safety equal to 1.0 under static loading <br /> conditions represents a condition of imminent failure. For temporary slopes, a minimum factor of <br /> safety of 13 under static loading conditions is generally considered adequate. Permanent slopes are <br /> typically designed to achieve a minimum static factor of safety of 1.5. <br /> During a seismic event, the propagation of bedrock motions induces a sequence of cyclic shear <br /> stresses on the soil and refuse. These cyclic shear stresses result in cyclic strains. When the stresses <br /> are above yield, a certain amount of strain remains, which produces permanent seismic deformations <br /> in the soil or refuse. To estimate these seismic deformations, a procedure based on the concept <br /> proposed by Newmark(1965)for calculating seismic permanent deformations and refined by Makdisi <br /> and Seed(1978)was used. The method assumes that failure occurs on a well-defined slip surface and <br /> that the material behaves elastically at stress levels below failure, but develops a plastic behavior <br /> above yield. When the maximum, average acceleration in the potential sliding mass (k,,,a,) exceeds <br /> the calculated yield acceleration for each sliding surface (ky), movements are assumed to occur along <br /> the direction of the failure plane. The ky is the seismic coefficient that results in a factor of safety of <br /> 1.0. The overall deformation is obtained by summing the strains over the failure surface. The strains <br /> are estimated based on a time-step finite-element analysis using the equivalent linear method (Seed et <br /> al., 1973). <br /> FORWARD LANDFILL WMU F-03 AND F-WEST DESIGN REPORT <br /> 3-3 <br />