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Case: Unsaturated slope at 3:1 (H:V) <br />Slope Surface <br /> dw Potential Failure Surface <br />α <br /> Z <br /> h <br />Final cover thickness:h= 2 ft <br />Data:Vertical Cover Thickness: Z = 2 ftCover Soil Density:γ =110 pcfSoil/Interface Layer Properties: c = 0 psf <br />φ =26 degreesSlope Angle (3:1, H:V)α = 18 degreesSeismic Coefficient (g)ks =0.00 gVertical depth to water table (ft)dw =2ftAssumes slope is drainedUnit weight of water (pcf)γw =62.4 pcf <br />Fill SlopeUnder Static conditions, the value of ks=0. The final cover is unsaturated, i.e. dw = 4.5' <br />1). Static Factor of Safety*= c/(γ z cos2 α) + tan φ[1−(γw(z-dw))/(γz)] - ks tan α tanφ = 1.54 ks + tan α <br />Under Pseudo-static conditions, the value of ks= (a value) at FOS=1.0. <br />For this case, the final cover is unsaturated, i.e. dw = 4.5' <br />1). Pseudo-static Factor of Safety*= c/(γ z cos2 α) + tan φ[1−(γw(z-dw))/(γz)] - ks tan α tanφ ks + tan α <br />Solve for Factor of Safety = 1.0: <br />Pseudo-StaticYield Acceleration = ky Factor of Safety <br />0.15 g 1.00 <br />Note: * - From Matasovic, N., 1991, As referenced in Richardson, G.N., et. Al ., 1995, RCRA Subtitle D (258) Seismic Design Guidance for Municipal Solid Waste Landfill Facilities, USEPA Publication EPA/600/R-95/051. <br />COVER SLOPE STABILITY ANALYSIS- INFINITE SLOPENORTH COUNTY RECYCLING CENTER AND SANITARY LANDFILL <br />FIGURE B-5 <br />Figure B-5_NCRCSL_Cover stability.xls