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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 />F. Circumferential Strain <br />Allowable Long-term Strain = 1 51`/c <br />The total circumferential strain is a combination of: <br />(i) strain due to ring deflection or flexure, Ff <br />(ii) strain due to hoop stress, Fh <br />(iii) strain due to Poisson's effect corresponding to longitudinal strain, c, <br />Ignoring longitudinal strain, <br />E=Ef+FI, <br />Where, <br />_ ( t DY <br />a r 6 ` D,,, ID„ <br />Et = 0.008 = 0.84 % <br />_ 6 D <br />2. t .E,, <br />el, = 0.0313 = 3.13 % <br />Therefore, total circumferential strain, <br />F = Ff + Ch = 3.97 % Strain is Acceptable <br />SUMMARY: <br />Design Criteria <br />Acceptable Value <br />Computed <br />Conclusion <br />Rine Deflection <br />3.38 Maximum <br />2.90 <br />Acceptable <br />Factor of Safety Aoainst Pipe Buckling <br />2.00 Minimum <br />3.25 <br />Acceptable <br />Factor of Safety Against Wall Crushing <br />2.00 Minimum <br />2.09 <br />Acceptable <br />Long-term circumferential Strain (%) <br />5.00 Maximum <br />3.97 <br />Acceptable <br />Ll <br />N:\GEOTECHNICALWCRC&SL-2007\Pipe-Loading\Modules 5-1 M5-11_41nchPipe_SDR13.5_255ft.xis Page 6 of 6 <br />