RTR Pipe Check AWWA M45 (Effluent Water) - Modified Parameters

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Calculation1Pressure Class, PcAWWA M45 section 5.7.1.1Sea Water IntakeNominal Pipe SizeDesign Pressure = 12 Bar gmmin.70025127'401.5ID702.7mm502OD718.5mm652.5Interior Liner Thickness, tL11.0mm803External Layer (Top Coat) Thickness, ttc0.3mm1004Total Liner Thickness, tL1.3mm1506t6.6mm2008tt7.9mm25010D711.9mm30012HDB Strain Basis0.66mm/mm35014FS1.837515EH18.70Gpa40016Pc1271.4kPa4501812.71Bar500205502160024700278003085033900361000392Working Pressure, PwAWWA M45 section 5.7.1.2110042115045120048Pdesign1000130051Pw450kPa140054OK1500601700663Surge Pressure, PsAWWA M45 section 5.7.1.3180072200078220084Ps550kPa230090(Pw + Ps) / 1.4714kPa240096OK260010228001084Pipe Stiffness, PSAWWA M45 section 5.7.1.3290011430001203400132E21.690GPa3600144I41.09mm4/mmr355.95mmdd/D5.00%Dyt35.60mmPS114.56kPa

5Max .Allowable Deflection from Ring BendingAWWA M45 section 5.7.2GravelSandPSDumped to SlightModerate to HighDumped to SlightModerate to HighkPaShape Factor DfDf6.73Table 5-1625.5768Sb1.35mm/mm1244.55.556.5FS1.502483.84.545.5Dya85.81mm4963.33.83.54.5Dya / D12.05%Max Allowable Def.5.00%

6.934.5691382766.934.56913827618000000900034.56913827641434.569138276414

SC1, SC2SC1, SC23.23.63.94.55.73.23.63.94.55.76Vertical Soil Load on the Pipe, WcAWWA M45 section 5.7.3.5SPD853.360.000.000.000.00SPD850.000.004.080.000.003.63.94.55.76.93.63.94.55.76.98.810.311.212.414.58.810.311.212.414.5gs18000N/m3SPD900.000.000.000.000.00SPD900.000.000.000.000.00hmin1.00m10.311.212.414.517.210.311.212.414.517.2hmax5.00m13.817.920.723.829.313.817.920.723.829.3Wc for hmin18000N/m2SPD950.000.000.000.000.00SPD950.000.000.000.000.00Wc for hmax90000N/m217.920.723.829.334.517.920.723.829.334.516.223.82937.951.716.223.82937.951.7SPD1000.000.000.000.000.00SPD1000.000.000.000.000.0023.82937.951.764.13.3623.82937.951.764.14.087Live Load on the Pipe, WLAWWA M45 section 5.7.3.6

SC3SC3MP1.202.52.72.833.52.52.72.833.5P90000NSPD850.000.000.000.000.00SPD850.000.000.000.000.00If for hmin1.1952.72.833.54.12.72.833.54.1If for hmax1.0004.65.15.25.46.24.65.15.25.46.2Backfill CategorySC2SPD900.000.000.000.000.00SPD900.000.000.000.000.00Backfill TypeSandBackfill Compaction LevelSPD855.15.25.46.27.15.15.25.46.27.1LLDF1.1509.811.512.21314.49.811.512.21314.4L1 for hmin1.400SPD950.000.000.000.000.00SPD950.000.000.000.000.00L1 for hmax6.00011.512.21314.415.911.512.21314.415.9hint1.1570000000000L2 for hmin1.650SPD1000.000.000.000.000.00SPD1000.000.000.000.000.00L2 for hmax4.040000000.00000000.00WL for hmin55858.63N/m2WL for hmax4455.45N/m2SC4SC40.91.21.41.620.91.21.41.62SPD850.000.000.000.000.00SPD850.000.000.000.000.001.21.41.622.41.21.41.622.41.82.22.52.73.21.82.22.52.73.2SPD900.000.000.000.000.00SPD900.000.000.000.000.002.22.52.73.23.62.22.52.73.23.63.74.34.85.15.63.74.34.85.15.6SPD950.000.000.000.000.00SPD950.000.000.000.000.004.34.85.15.66.24.34.85.15.66.20000000000SPD1000.000.000.000.000.00SPD1000.000.000.000.000.00000000.00000000.00

8Constrained Soil Modulus, MsAWWA M45 section 5.7.3.8Msn10.30MPaBd1460mmMsbhmin3.36MPahmax4.08MPaMsn / Msbhmin3.06hmax2.52Bd /D2.05Schmin1.49hmax1.39Mshmin5.01MPahmax5.68MPa

9DeflectionAWWA M45 section 5.7.3DL1.50Msn / MsbBd/D = 1.25Bd/D = 1.50Bd/D = 1.75Bd/D = 2.00Bd/D = 2.50Bd/D = 3.00Bd/D = 4.00Bd/D = 5.00Kx0.100.0050.020.050.080.120.230.430.721Dy /Dhmin0.02570.010.030.070.110.150.270.470.741256.72 %0.020.050.10.150.20.320.520.771Dy /D < Min (dd/D, Dya/D)YES0.050.10.150.20.270.380.580.81Dy /Dhmax0.03830.10.150.20.270.350.460.650.841383.47 %0.20.250.30.380.470.580.750.881Dy /D < Min (dd/D, Dya/D)YES0.40.450.50.560.640.750.850.9310.60.650.70.750.810.870.940.9810.80.840.870.90.930.960.98111111111111.51.41.31.21.121.061.031121.71.51.41.31.21.11.05132.21.81.651.51.351.21.11532.21.91.71.51.31.15122.052.5022.052.503.001.501.352.001.301.203.061.511.491.352.521.401.391.285.001.701.503.001.501.35

10Combined LoadingAWWA M45 section 5.7.4epr0.00130mm/mmeb0.00373mm/mmrc0.850eb rc / Sb0.235epr / HDB0.1971 - (eb rc / Sb ) / FSpr0.425Check Eq 5-22OK1 - (epr / HDB ) / FSb0.536Check Eq 5-23OK

11BucklingAWWA M45 section 5.7.5.2n0.30kn0.74Rhhmin0.973hmax1.023hwhmin0.00mhmax0.00mRwhmin1.000hmax1.000Fs2.50qahmin159.879kPahmax182.807Pv100.00kPa[gwhw min + RwWc] x 10-3 + Pv118.000kPa0.738Check Eq 5-25OK[gwhw max + RwWc] x 10-3 + Pv190.000kPa1.039Check Eq 5-25NOT OK
SANA ULLAH HASHEMI: SANA ULLAH HASHEMI:As per Miyoshi San, "Vacuum case not required to be considered for Effluent water case".[gwhw min + RwWc + WL] x 10-373.859kPa0.462Check Eq 5-25OK[gwhw max + RwWc + WL] x 10-394.455kPa0.517Check Eq 5-25OK

FPI FUTUREAWWA M45 (SECOND EDITION) CALCULATIONSPROJECT: Jazan Construction Water Network ProjectSea Water IntakeItemSymbolUnitsValueValueValueDiameterDNmm700800700Stiffness ClassSNPa2,5002,500 Pressure ClassPNBarg121210

Pipe Parameters Outer DiameterODmm718.5820.5718.50Total Wall Thicknessttmm7.78.77.90Interior Liner ThicknesstLmm111.00External Layer (Top Coat) Thicknessttcmm0.30.30.30Reinforced (Structural) Wall Thicknesstmm6.47.46.60Mean Pipe DiameterDmm711.90Hoop Tensile ModulusEHMPa22,25022,25018700Hoop Flexural ModulusEMPa23,26424,39521690Hydrostatic Design BasisHDB% Strain0.660.660.66Long Term Ring BendingSb% Strain1.351.351.35Permitted Long Term Deflectiondd/D%555.00

System Parameters Pressure Safety FactorFSpr-1.81.81.80Maximum Surge AllowanceSax PN1.41.41.4Bending Safety FactorFSb-1.51.51.50Buckling Safety FactorFSbuckling-2.52.52.50

Load Parameters Working PressurePwBarg12124.50Additional Surge Pressure PsBarg4.84.85.50Vacuum (0 to -1)PvBarg-1-11.00Vehicle Traffic Wheel LoadPkN909090.00Direction of Passing TrafficAcross/ParallelAcrossAcrossVehicle Axle TypeSingle/TandemSingleSingleVehicle Axle Spacing-m00 Length of Tire Footprinttlm0.250.25 Width of Tire Footprinttwm0.50.5

Installation Parameters Minimum Burial Depth (Pipe Crown)hminm111.00Maximum Burial Depth (Pipe Crown)hmaxm555.00Ground Water Level (Pipe Crown) for hminhw1m550.000 to 1 mGround Water Level (Pipe Crown) for hmaxhw2m0.000 to 5 mTrench Width (Pipe Springline)Bdm1.31.41.46Backfill Category (SC1, SC2, SC3, or SC4)--SC2SC2SC2Backfill Type (Sand/Gravel)--SandSandSandBackfill Compaction LevelSPD%SPD90SPD90SPD85Backfill Compaction Description- -ModerateModerate Backfill Weight gbkN/m3191918Native Soil Description - -MediumMedium Bedding CoefficientKx-0.10.10.10Deflection Lag FactorDL-1.51.51.50AWWA M45 (SECOND EDITION) CALCULATIONS PROJECT: Jazan Construction Water Network Project Sea Water IntakeItemSymbolUnitsValueValueValueDiameterDNmm700800700Stiffness ClassSNPa2,5002,500 Pressure ClassPNBarg121210

Values for Calculations Backfill Correction Factor due to BuoyancyRw-0.850.85Dry Backfill Constrained Modulus at hminMsbMPa9.449.443.36Dry Backfill Constrained Modulus at hmaxMsbMPa11.6311.634.08Native Soil ModulusMsnMPa10.310.310.30Native Soil/Backfill Ratio at hminMsn/Msb-1.281.283.06Native Soil/Backfill Ratio at hmaxMsn/Msb-1.041.042.52Trench Width/DiameterBd/DN-1.861.752.05Soil Support Combining Factor at hminSc-1.091.111.49Soil Support Combining Factor at hmaxSc-1.011.021.39Composite Constrained Modulus at hminSc x MsbMPa8.788.945.01Composite Constrained Modulus at hmaxSc x MsbMPa10.0210.055.68Shape FactorDf-6.56.56.73Maximum Allowable Long Term DeflectionDya / D%12.7512.9612.05

Deflection Prediction at Minimum Depth Vertical Soil Load at hminWckPa191918Load Width Parallel to Direction of TravelL1m1.41.41.40Load Width Perpendicular to Dir. of TravelL2m1.651.651.65Impact FactorIf-1.191.191.19Live Load at hminWLkPa55.955.955.86Predicted DeflectionDy /D%1.521.492.57Deflection < Min (dd/D, Dya/D)Yes/NoYESYESYES

Deflection Prediction at Maximum Depth Vertical Soil Load at hmaxWckPa959590Load Width Parallel to Direction of TravelL1m666Load Width Perpendicular to Dir. of TravelL2m4.044.044.04Impact FactorIf-111Live Load at hmaxWLkPa4.54.54.46Predicted DeflectionDy /D%2.332.323.83Deflection < Min (dd/D, Dya/D)Yes/NoYESYESYESAWWA M45 (SECOND EDITION) CALCULATIONS PROJECT: Jazan Construction Water Network Project Sea Water IntakeItemSymbolUnitsValueValueValueDiameterDNmm700800700Stiffness ClassSNPa2,5002,500 Pressure ClassPNBarg121210

Pressure Analysis Pipe Pressure ClassPcBarg14.7414.8212.71Actual Pressure Safety FactorFSa-2.212.225.09Pc > Pw ?Yes/NoYESYESYESMaximum Pressure with SurgePw + PsBarg16.816.81000kPaActual Surge Safety FactorFSa-1.231.242.83FSsurge x Pc > (Pw + Ps) ?Yes/NoYESYESYESWorking Strain due to Internal Pressureepr%0.29850.29680.1298Bending Strain due to Max. Permitted Def.eb%0.35290.34720.3733Rerounding Coefficientrc-0.60.60.8500Rerounded Bending Straineb x rc%0.21180.20830.3173epr / HDB--0.45230.44970.1966(1 - eb x rc / Sb) / FSpr--0.46840.46980.4250epr / HDB < (1 - eb x rc / Sb) / FSpr ?Yes/NoYESYESYESAchieved Safety Factor--1.861.883.89eb x rc / Sb--0.15690.15430.2351(1 - epr / HDB) / FSb--0.36520.36690.5356eb x rc / Sb < (1 - epr / HDB) / FSb ? Yes/NoYESYESYESAchieved Safety Factor--3.493.573.42

Buckling Analysis at Minimum Depth Correction Factor for Depth of FillRh-0.970.970.97Water Buoyancy FactorRw-0.670.671.00Load for Typical InstallationWtypicalkPa123123118.00Critical Buckling PressureqckPa618620399.70Achieved Safety FactorFSa-5.045.063.387FSa > FSbuckling ?Yes/NoYESYESYESLoad for Traffic InstallationWtraffickPa787873.86Achieved Safety FactorFSa-7.887.915.412FSa . FSbuckling ?Yes/NoYESYESYES

Buckling Analysis at Maximum Depth Correction Factor for Depth of FillRh-1.021.021.023Water Buoyancy FactorRw-0.670.671.00Load for Typical InstallationWtypicalkPa213213190Critical Buckling PressureqckPa710710457.02Achieved Safety FactorFSa-3.343.342.405FSa . FSbuckling ?Yes/NoYESYESNOLoad for Traffic InstallationWtraffickPa11711794.4554455446Achieved Safety FactorFSa-6.066.064.838FSa . FSbuckling ?Yes/NoYESYESYES

BdPipe ODmm820.5718.5Hmm19001800Amm12001100Bdmm1610.31459.3

FminTable 10 Minimum hop tensile strength requirements (from Eq 2)Pressue Class - psi [kPa]50100150200250psiNominal Pipe Size50[345.0]100[689.0]150[1034.0]200[1379.0]250[1724.0][345.0][689.0][1034.0][1379.0][1724.0]kpain.mmMinimum Hoop Tensile Strength lbf / in. of width (kN / m of width)1[25]100[18]200[35]300[53]400[70]500[88]Nominal Pipe Size[689.0][1000.0][1034.0]kpa123451.5[40]150[26]300[53]450[79]600[105]750[131]in.mmMinimum Hoop Tensile Strength (kN / m of width)2468102[50]200[35]400[70]600[105]800[140]1000[175]27[700][946][1372][1419]135792.5[65]250[44]500[88]750[131]1000[175]1250[219]3[80]300[53]600[105]900[158]1200[210]1500[263]4[100]400[70]800[140]1200[210]1600[280]2000[350]6[150]600[105]1200[210]1800[315]2400[420]3000[525]Nominal Pipe Size100145.0150.0psi8[200]800[140]1600[280]2400[420]3200[560]4000[701]in.mmMinimum Hoop Tensile Strength (lbf / in. of width)10[250]1000[175]2000[350]3000[525]4000[701]5000[876]27[700]5400[7832]810012[300]1200[210]2400[420]3600[630]4800[841]6000[1051]14[350]1400[245]2800[490]4200[736]5600[981]7000[1226]15[375]1500[263]3000[525]4500[788]6000[1051]7500[1313]16[400]1600[280]3200[560]4800[841]6400[1121]8000[1401]18[450]1800[315]3600[630]5400[946]7200[1261]9000[1576]20[500]2000[350]4000[701]6000[1051]8000[1401]10000[1751]21[550]2100[368]4200[736]6300[1103]8400[1471]10500[1839]24[600]2400[420]4800[841]7200[1261]9600[1681]12000[2102]27[700]2700[473]5400[946]8100[1419]10800[1891]13500[2364]30[800]3000[525]6000[1051]9000[1576]12000[2102]15000[2627]33[850]3300[578]6600[1156]9900[1734]13200[2312]16500[2890]36[900]3600[630]7200[1261]10800[1891]14400[2522]18000[3152]39[1000]3900[683]7800[1366]11700[2049]15600[2732]19500[3415]42[1100]4200[736]8400[1471]12600[2207]16800[2942]21000[3678]45[1150]4500[788]9000[1576]13500[2364]18000[3152]22500[3940]48[1200]4800[841]9600[1681]14400[2522]19200[3362]24000[4203]51[1300]5100[893]10200[1786]15300[2679]20400[3573]25500[4466]54[1400]5400[946]10800[1891]16200[2837]21600[3783]27000[4728]60[1500]6000[1051]12000[2102]18000[3152]24000[4203]30000[5254]66[1700]6600[1156]13200[2312]19800[3468]26400[4623]33000[5779]72[1800]7200[1261]14400[2522]21600[3783]28800[5044]36000[6305]78[2000]7800[1366]15600[2732]23400[4098]31200[5464]39000[6830]84[2200]8400[1471]16800[2942]25200[4413]33600[5884]42000[7355]90[2300]9000[1576]18000[3152]27000[4728]36000[6305]45000[7881]96[2400]9600[1681]19200[3362]28800[5044]38400[6725]48000[8406]102[2600]10200[1786]20400[3573]30600[5359]40800[7145]51000[8931]108[2800]10800[1891]21600[3783]32400[5674]43200[7565]54000[9457]114[2900]11400[1996]22800[3993]34200[5989]45600[7986]57000[9982]120[3000]12000[2102]24000[4203]36000[6305]48000[8406]60000[10508]132[3400]13200[2312]26400[4623]39600[6935]52800[9247]66000[11558]144[3600]14400[2522]28800[5044]43200[7565]57600[10087]72000[12609]