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Shaw Environmental, Inc. <br />NORTH COUNTY RECYCLING CENTER AND SANITARY LANDFILL, MODULE S 5 THROUGH 11 <br />DESIGN OF LEACHATE COLLECTION PIPES <br />USING THE IMPROVED PIPE LOADING CALCULATION <br />where, <br />Therefore, <br />C. Ring Deflection <br />S _ M,ti..R <br />" E,, . A,,. <br />A,, = area of pipe wall/unit circumference of pipe, int/in = t <br />0.333 int/in <br />Allowable ring deflection (AY/D)�iioµ. = 3.38 <br />Based on the modified Iowa deflection equation, the ring deflection ratio, <br />AY Ll.K.61.R3 <br />D EP .1 + 0.06IMS . R' <br />Where: AY = vertical pipe deflection (in) <br />I = moment of inertia (in 3) <br />t; <br />12 <br />I = 0.0031 in4/in <br />Therefore, <br />Initial <br />Long -Term <br />SH <br />0.4386 <br />2.3924 <br />VAF <br />1.1747 <br />0.6678 <br />Load, PT <br />194 psi <br />110 psi <br />Allowable ring deflection (AY/D)�iioµ. = 3.38 <br />Based on the modified Iowa deflection equation, the ring deflection ratio, <br />AY Ll.K.61.R3 <br />D EP .1 + 0.06IMS . R' <br />Where: AY = vertical pipe deflection (in) <br />I = moment of inertia (in 3) <br />t; <br />12 <br />I = 0.0031 in4/in <br />Therefore, <br />C <br />N:\GEOTECHNICAL\NCRC&SL-2007\Pipe-Loading\Modules 5-I1\M5-11_4lnchPipe_SDR13.5_255ft.xls Page 4 of 6 <br />Ring Deflection <br />Note <br />Initial Long -Term <br />M M <br />AY/D,, <br />2.90 1.75 <br />Ring Deflection is Acceptable <br />C <br />N:\GEOTECHNICAL\NCRC&SL-2007\Pipe-Loading\Modules 5-I1\M5-11_4lnchPipe_SDR13.5_255ft.xls Page 4 of 6 <br />