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Page -L-5—of <br />Written by: T. Boardman Date: 14 el2t 1999 Reviewed by: i I Date: <br />Client: Allied Waste Project: Forward Landfill Project/ Proposal No.: W30264 Task No <br />The following can be estimated from geometry: <br />Z = YCOS)6 <br />Static Condition: <br />Under static conditions, the value of ks = 0 <br />Therefore, equation (1) can be modified to the following form: <br />/C+tan0 1—(YW(z—d,,. <br />y Z cost 'g) (Y z) <br />FS = <br />tan,(3 <br />Equation (2) <br />Equation (3) <br />Case A: No water table is present on the slope, i.e. dw = z. This is considered to be a long-term condition. <br />Consequently, equation (3) is modified to the following form: <br />Note: c to be used in this equation is at in-place water content. <br />c(y ZCos2 ,8� <br />+tangy <br />FS = <br />tan �3 <br />Equation (4) <br />Case B: Water table is at the surface of the slope, i.e. dw = 0. This is considered to be a short-term <br />condition. Consequently, equation (3) is modified to the following form: <br />Note: c to be used in this equation is for saturated condition. <br />C + tan 1— Y" Equation (5) <br />y Z cost ,Q <br />FS=Z <br />tan I8 <br />11 <br />n <br />u <br />