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Shaw Environmental, Inc. <br />NORTH COUNTY RECYCLING CENTER AND SANITARY LANDFILL, MODULE I <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, Ef <br />(ii) strain due to hoop stress, Eh <br />(iii) strain due to Poisson's effect corresponding to longitudinal strain, c, <br />Ignoring longitudinal strain, <br />E=Ef+Eh <br />Where, <br />1 D,, <br />Ef = 0.010 = 0.99 % <br />6 i . D <br />E' 2 . t E <br />eh = 0.0221 = 2.21 % <br />Therefore, total circumferential strain, <br />E = Ef + Eh = 3.20 % Strain is Acceptable <br />SUMMARY: <br />Design Criteria <br />Acceptable Value <br />Computed <br />Conclusion <br />Ring Deflection (%) <br />3.88 Maximum <br />3.52 <br />Acceptable <br />Factor of Safety Against Pi e Buckling <br />2.00 Minimum <br />3.28 <br />Acceptable <br />Factor of Safety Against Wall Crushing <br />2.00 Minimum <br />2.96 <br />Acceptable <br />Long-term circumferential Strain (%) <br />5.00 Maximum <br />3.20 <br />Acceptable <br />V <br />3 <br />N:\GEOTECHNiCAL\NCRC&SL-2007\Pipe-Loadin-Nodule I&2\Modulei&2_31nchPipe_ImprovedMethod_148ft.xis Page 6 of 6 <br />