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Factor of Safety (FS) <br />For infinite slopes consisting of cohesionless soils that are either above the water table or <br />that are fully submerged, the factor of safety for slope stability is determined as follows: <br />FS = Tancp /Tan13 <br />where <br />cp = the angle of internal friction for the soil <br />(3 = the slope angle relative to the horizontal <br />(WSDOT Geotechnical Design Manual M) <br />There could be a small amount of cohesion which would add to the strength but this will <br />be ignored in order to calculate the worst case scenario. <br />FS = tan (40 °) /tan (26.56 °) = 1.67 <br />>1.4 is the recommended parameter for safety factor of permanent slopes. <br />Thus the 2:1 slope satisfies the Factor of Safety for this material. <br />