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DR/SCOWPE ] <br />4. Based upon the pipe SDR and the value of the <br />polyethylene modulus of elasticity, E, calculate the <br />pipes hydrostatic, critical -collapse differential <br />pressure. Pc: <br />_ 2.32 (E) <br />Pc (SDR)3 <br />5. Calculate the soil modulus, E', by plotting the total <br />external soil pressure. Pt, against a specified soil <br />density to derive the soil strain as shown in the <br />example problem on Chart 26. <br />6. Calculate the critical buckling pressure at the top <br />of the pipe by the formula: <br />P,b = 0.8E x P <br />7. Calculate the Safety Factor: S.F. = PC8 _ P, <br />In burial applications, a safety factor of 1.0 may be <br />considered a minimum because of the margin of <br />safety provided by the arching action of the soil. <br />However, Driscopipe endorses using a more <br />conservative value approaching or exceeding a <br />2.0 safety factor. <br />8. The above procedures could be reversed to <br />derive the minimum pipe SDR required for a given <br />soil pressure and an estimated soil density. <br />However, this procedure should permit the <br />engineer to optimize the system design quickly by <br />examining several combinations. <br />Chart 2� <br />•; of Data fe <br />Typical(Except •: <br />from Actual Tests* <br />4000 <br />PP.. <br />e <br />F2W) <br />4 <br />v <br />m 1000 <br />a <br />a <br />es vertical Soil strain (percent) <br />EXAMPLE <br />Find: E'@ 2000 PSF and 80% Density <br />Formula: E' = Piles <br />Calculations: E'= 2000 PSF /.018 =111111 PSF = 771 pal <br />Note: The curves shown on this chart are sample curves for a granular soil. <br />If other types of soil are used for backfill, such as clay or clay loam, curves <br />should be developed from laboratory test data for the material used. Soil <br />pressures greater than 4000 psi may be examined by.extrapolating the <br />slope of the curve or by generating curves by testing at those higher soil <br />pressures. Probable error of curves is about halt the distance between <br />adjacent lines. <br />ICU <br />Design by Ring Deflection: Ring deflection is defined <br />as the ratio of the vertical change in diameter to the <br />original diameter. It is often expressed as a <br />percdntage. Ring deflection for buried Driscopipe is <br />conservatively the.same as (no more than) the vertical <br />compression of the soil envelope around the pipe. <br />Design by ring deflection matches the ability of <br />Driscopipe to accommodate, without structural <br />distress, the vertical compression of the soil. <br />enveloping the buried pipeline. Design by ring <br />deflection comprises a calculation of vertical soil strain <br />to ensure it will be less than the allowable ring deflection <br />of the pipe. See Chart 27. The tabulation shows that <br />with lower values of SDR, the allowable deflection is <br />less. For installations which require this thicker wall to <br />resist the external soil pressure, actual ring deflection <br />can easily be limited to the tabular values by proper <br />compaction of the backfill around the pipe. The <br />recommended allowable deflection for the various <br />SDR s are: <br />Chart 27 <br />Allowable <br />SDR <br />Ring Deflection <br />32.5 <br />8.1% <br />26.0 <br />6.5% <br />21.0 <br />5.2% <br />19.0 <br />4.7% <br />17.0 <br />4.2% <br />15.5 <br />3.9% <br />13.5 <br />3.4% <br />11.0 <br />2.7% <br />The allowable ring deflection of polyethylene pipe is <br />a function of the allowable tangential strain in the <br />outer surface of the pipe wall. A conservative limit of <br />1-11/2% tangential strain in the outer surface of the <br />pipe wall due to vertical deflection of the pipe "ring" <br />by soil compression can be understood by <br />comparing two pipes of the same diameter but <br />different wall thickness. <br />DMIN <br />% Ring Deflection = { 1 - D o x 100% <br />NOTE: 5%deflection decreases flow -area by y.%.10% deflection <br />decreases flow -area by 1 %. <br />