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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 />F. Circumferential Strain <br />Allowable Long-term Strain <br />The total circumferential strain is a combination of: <br />(i) strain due to ring deflection or flexure, et <br />(ii) strain due to hoop stress, Eh <br />(iii) strain due to Poisson's effect corresponding to longitudinal strain, £p <br />Ignoring longitudinal strain, <br />E=Er+Eh <br />Where, <br />E =6 <br />t DY <br />D,,, <br />et = 0.007 = 0.66 % <br />6 D <br />2 t .EN <br />eh = 0.0322 = 3.22 % <br />Therefore, total circumferential strain, <br />E = Et + Eh = 3.88 % Strain is Acceptable <br />SUMMARY: <br />Design Criteria <br />y <br />Acceptable Value <br />Computed <br />Conclusion <br />Ring Deflection (%) <br />3.88 Maximum <br />2.80 <br />Acceptable <br />Factor of Safety Against Pipe Buckling <br />2.00 Minimum <br />2.91 <br />Acceptable <br />Factor of Safety Against Wall Crushing <br />2.00 Minimum <br />2.03 <br />Acce table <br />Long-term circumferential Strain (%) <br />5.00 Maximum <br />3.88 <br />Acceptable <br />El <br />N:\GEOTECNNICAL\NCRC&SL-2007\Pipe-Loadin,-\Module4\Module4_41nchPipe_ImprovedMethod_241ftAs Page 6 of 6 <br />