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Worksheet 3 <br /> Worksheet #3-_ - - - - - -- SlopeStabilityAnalysis, FactorofSafety <br /> - ----------- <br /> Limit equilibrium analysis method, see attached sheets for derivation' <br /> and equations. <br /> reference: Stability Analysis of Earth Slopes, Y.H. Huang, Van <br /> Nostrand Reinhold Publ., 71-78, 1983, ISBN 0-442-23689-1. <br /> --------------------*****--------------------------------------------I <br /> INPUT BLOCK <br /> ** SECTION ANALYZED: XS-5 (largest sectional area) <br /> Geometric Variables Soil Properties <br /> --------- ------ ------------------ <br /> L1 = 71 ft effective cohesion, c = 0.1 tsf <br /> L2 = 154 ft effect. frict. angle, f = 30 deg <br /> alpha, a = 27 deg unit weight of waste,Gs = 125 lb/ft3 <br /> area,A1 = 828 sq-ft pore press. ratio, ru = 0.25 <br /> area,A2 = 1619 sq-ft W1, W2 - weight of each block <br /> ----- <br /> ***** COMPUTE QUADRATIC COEFFICIENTS ***** <br /> w1 = 103500 al = 91876.3 = 91876.31 <br /> W2 = 202375 a2 = 12652.3 118011.8 30800.0 = 161464.11 <br /> a3 = 3722.0 11747.0 = 15469.01 <br /> Quadratic eq. forfactorofsafety, F: al*F_ - - - - -2 + a2*F + a3 =0 <br /> - - - - - - -.------ --� <br /> ***** TRIAL AND ERROR SOLUTION TO QUADRATIC ***** <br /> F RHS F RHS <br /> -------------------- ------------------ <br /> 1 -85056.8 1.8 -8425.1 <br /> 1.2 -76924.0 1.81 -6723.0 <br /> 1.4 -61441.1 1.82 -5002.5 <br /> 1.6 -38608.2 1.83 -3263.7 <br /> 1.8 -8425.1 1.84 -1506.5 <br /> 2 29108.1 <--- 1.85 269.1 <---- Solution <br /> 2.2 73991.4 1.86 2063.1 <br /> ---------------------------------------------------------------------� <br /> FACTOR OF SAFETY = 1_85 ***** Section 5----- <br /> 9 <br />