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n <br />C <br />Shaw Environmental, Inc. <br />NORTH COUNTY RECYCLING CENTER AND SANITARY LANDFILL, MODULE 4 <br />CHECK OF EXISTING LEACHATE COLLECTION PIPES <br />USING THE IMPROVED PIPE LOADING CALCULATION <br />25000 <br />20000 <br />,, 15000 <br />D <br />a <br />0 <br />m <br />C= 10000 <br />5000 <br />0 <br />e: <br />esponding <br />Soil No. 3; Ms = 2289 (c X,17 <br />Soil No. 5; Ms = 1483 (a)°'4 <br />Soil No. 8; MS = 2338 (OX 1' <br />Soil No. 14 <br />Soil No. 19 <br />0 100 200 300 400 500 <br />Vertical Stress, a, (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 gravel bedding to meet the hyperbolic model parameters for Soil No. S <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, = 1483 (cjl )0.34 <br />Therefore, <br />M, = 8253 psi <br />Account for Arching (based on McGrath, 1998b) <br />Based on McGrath (1998b), the vertical arching factor for no -slip <br />condition is given by, <br />VAF= 1.06-0.96 <br />SH +1.75 <br />N:\GEOTECHNICAL\NCRC&SL-2007\Pipe-Loading\Module 4\Module4_4lnchPipe_ImprovedMethod_24I ft.xls <br />Page 3 of 6 <br />