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Shaw Environmental, Inc. <br />NORTH COUNTY RECYCLING CENTER AND SANITARY LANDFILL, MODULE 1 <br />CHECK OF EXISTING LEACHATE COLLECTION PIPES <br />USING THE IMPROVED PIPE LOADING CALCULATION <br />25000 <br />20000 <br />N <br />a <br />u 15000 <br />v <br />0 <br />g <br />v <br />m <br />m 10000 <br />N <br />C <br />O <br />U <br />5000 <br />0 <br />_:sponding <br />Soil No. 3; M, = 2289 ((T 1)0,37 <br />Soil No. 5; Ms = 1483 (6,)°'^ <br />Soil No. 8; MS = 2338 (a, <br />Soil No. 14 <br />Soil No. 19 <br />0 100 200 300 400 500 <br />Vertical Stress, 6, (psi) <br />Figure 1. Variation of Constrained Modulus with Vertical Stress for Various Soil Types <br />Based on Hyperbolic Stress -Strain Model <br />Assuming the sand bedding to meet the hyperbolic model parameters for Soil No. 8 <br />in Table 3 of Wilson-Fahmy, 1994 (note that the table is based on Selig, 1990), <br />the curve fitting for the hyperbolic model from Figure 1 above, <br />M s = 2338 (a, 10.17 <br />Therefore, <br />M, = 4972 psi <br />Account for Arching (based on McGrath, 1998b) <br />Based on McGrath (I 998b), the vertical arching factor for no -slip <br />condition is given by, <br />S„ —0.7 <br />VAF = 1.06 — 0.96 <br />S„ +1.75 <br />N:\GEOTECHNICAL\NCRC&SL-2007\Pipe-Loadin;\Module 1&2\Modulel&2}InchPipe_ImprovedMethod_148ft.xls <br />Page 3 of 6 <br />