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El <br />Shaw Environmental, Inc. <br />NORTH COUNTY RECYCLING CENTER AND SANITARY LANDFILL, MODULE 3 <br />CHECK OF EXISTING LEACHATE COLLECTION PIPES <br />USING THE IMPROVED PIPE LOADING CALCULATION <br />where, <br />Therefore, <br />C. Ring Deflection <br />SH <br />_ M,..R <br />`' E H . A <br />A,,; = area of pipe wall/unit circumference of pipe, int/in = t <br />= 0.29 int/in <br />Allowable ring deflection (AY/D,,)all.µ = 3.88 % <br />Based on the modified Iowa deflection equation, the ring deflection ratio, <br />DY <br />D,,, E,, . I + 0.0 61M, . R 3 <br />Where: AY = vertical pipe deflection (in) <br />I = moment of inertia (in3 <br />t'' <br />12 <br />I = 0.0020 in4/in <br />Therefore, <br />Initial Long -Term <br />SH <br />0.3063 1.6710 <br />VAF <br />1.2438 0.7875 <br />Load, PT <br />117 psi 74 psi <br />Allowable ring deflection (AY/D,,)all.µ = 3.88 % <br />Based on the modified Iowa deflection equation, the ring deflection ratio, <br />DY <br />D,,, E,, . I + 0.0 61M, . R 3 <br />Where: AY = vertical pipe deflection (in) <br />I = moment of inertia (in3 <br />t'' <br />12 <br />I = 0.0020 in4/in <br />Therefore, <br />N:\GEOTECHNICAL\NCRC&SL-2007\Pipe-LoadinEU\Module 3\Module3_41nchPipe_ImprovedMethod_165ft.xls Page 4 of 6 <br />Rina Deflection <br />Note <br />Initial Lona -Term <br />M (%) <br />AY/D,,, <br />3.85 2.60 <br />Ring Deflection is Acceptable <br />N:\GEOTECHNICAL\NCRC&SL-2007\Pipe-LoadinEU\Module 3\Module3_41nchPipe_ImprovedMethod_165ft.xls Page 4 of 6 <br />