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6.3.2 SLOPE/W <br /> Limit equilibrium stability analyses were performed using SLOPE/W (v10.9) developed by <br /> GEO-SLOPE International, Ltd. The analyses were performed using Spencer's method. <br /> Spencer's method is the preferred method as it satisfies both moment and force equilibrium. <br /> For all SLOPE/W analyses, circular and non-circular"optimized" slip surfaces were <br /> considered and defined using the entry-and-exit method. <br /> The South and West Quarry highwall global analyses were evaluated using the Spencer <br /> analysis method. The intra-bench local analyses were evaluated using the Bishop Simplified <br /> method. <br /> 6.3.3 FLAC/Slope <br /> Additional stability analyses were performed using FLAC/Slope (v8.0), which is a simplified <br /> version of FLAC used for performing slope stability analyses using the finite difference <br /> method. The slope stability factor of safety (FOS) is obtained in FLAC/Slope using the <br /> strength reduction method to progressively reduce material shear strength until the slope <br /> reaches a limiting state of equilibrium. Using frictional strength parameters, this is defined <br /> according to the equations: <br /> trial = 1 <br /> Ftrial <br /> trial = arctan (Ft 1 tanqb) <br /> rial <br /> where Ft"al is the trial value factor of safety, ct"al is the resulting trial apparent cohesion, and <br /> 0trial is the resulting trial friction angle. Analyses are performed for various iterations of Ftrial <br /> until a limiting value of c`ial and 0"al that cause the slope to fail are obtained. The <br /> corresponding value of Ftrial is the resulting FOS, providing an alternative method to <br /> calculating the FOS. <br /> The Hoek-Brown criterion is approximated locally in FLAC/Slope using the Mohr-Coulomb <br /> criterion: <br /> r = Q'tan(kc + cc <br /> where apparent cohesion (cc) and friction angle ((kc) are given in terms of the local minor <br /> principal stress, 63 by: <br /> Oc = 2 tan-1 N(pc — 90' and <br /> 07UCS <br /> c` 2 o <br /> 2s <br /> Aggregate Industries—Morrison Quarry GEI Consultants, Inc. <br /> AM-07 Geotechnical Stability Exhibit November 2020 <br />