TABLA PARA DIMENSIONAR TUBERIAS con CAUDALES entre 4 y 6 l/sg
Temperatura del agua tem = 10 ºC
me=1000-1.9549*10^(-2)*abs((tem-3.82))^1.68
densidad del agua me = 999.60 kg/m3
vid =2.414*10^-5*10^(247.8/(tem+273.15-140))
Viscosidad dinamica vid =0.001299537 kg/m·sg
______________________________________________________________________________________________
ve = velocidad maxima inicial
qs = caudal de servicio
dm = diametro minimo calculado d=2*sqr(q/ve/3.14159)
d = DIAMETRO comercial
vs = Velocidad de servicio vs=q/3.14159/(d/2)^2
re = Numero de Reynolds re=vs*d*me/vid
f = Factor de friccion (Colebrook) f=1/((2*log(k/(3.71*d)+(2.51)/(re*sqr(f)))/log(10))^2)
pcf = Perdida de carga por friccion (Darcy-Weisbach) pcf=f*(vs^2)/(d*2*9.8)
k = Rugosidad absoluta mm (valores medios que aumentan con la edad)
0.0015(Cobre/PVC) 0.003(PE) 0.005(PVC-U) 0.03(acero) 0.029(PRFV) 0.1(Fundicion) 0.15(fibrocemento)
______________________________________________________________________________________________
qs ve dm d vs re f pcf mca/m
l/sg m/sg mm mm m/sg kg·m/N·sg2 0.0015 0.0240 0.1215 0.3840 0.9375 (k)
______________________________________________________________________________________________
4.00 0.60 92.1 100 0.51 39175.1 0.0386 0.0029 0.0030 0.0034 0.0041 0.0051
0.80 79.8 80 0.80 48968.8 0.0411 0.0085 0.0089 0.0103 0.0129 0.0166
1.00 71.4 75 0.91 52233.4 0.0419 0.0116 0.0122 0.0142 0.0180 0.0234
1.20 65.1 70 1.04 55964.4 0.0428 0.0161 0.0170 0.0201 0.0258 0.0337
1.40 60.3 63 1.28 62182.6 0.0443 0.0267 0.0285 0.0344 0.0447 0.0590
1.60 56.4 60 1.41 65291.8 0.0450 0.0337 0.0362 0.0441 0.0578 0.0766
1.80 53.2
2.00 50.5
______________________________________________________________________________________________
4.10 0.60 93.3 100 0.52 40154.4 0.0386 0.0031 0.0032 0.0035 0.0043 0.0054
0.80 80.8 90 0.64 44616.0 0.0397 0.0051 0.0053 0.0060 0.0073 0.0093
1.00 72.3 75 0.93 53539.2 0.0419 0.0121 0.0127 0.0149 0.0189 0.0245
1.20 66.0 70 1.07 57363.5 0.0428 0.0168 0.0178 0.0211 0.0271 0.0354
1.40 61.1 63 1.32 63737.2 0.0442 0.0279 0.0298 0.0361 0.0470 0.0620
1.60 57.1 60 1.45 66924.0 0.0450 0.0352 0.0378 0.0463 0.0607 0.0804
1.80 53.9
2.00 51.1
______________________________________________________________________________________________
4.20 0.60 94.4 100 0.53 41133.8 0.0385 0.0032 0.0033 0.0037 0.0045 0.0056
0.80 81.8 90 0.66 45704.2 0.0397 0.0053 0.0055 0.0062 0.0077 0.0098
1.00 73.1 75 0.95 54845.1 0.0418 0.0126 0.0133 0.0156 0.0198 0.0257
1.20 66.8 70 1.09 58762.6 0.0427 0.0176 0.0186 0.0221 0.0284 0.0371
1.40 61.8 63 1.35 65291.8 0.0442 0.0291 0.0311 0.0378 0.0492 0.0650
1.60 57.8 60 1.49 68556.3 0.0450 0.0368 0.0396 0.0485 0.0636 0.0844
1.80 54.5
2.00 51.7
______________________________________________________________________________________________
4.30 0.60 95.5 100 0.55 42113.2 0.0385 0.0033 0.0034 0.0038 0.0047 0.0059
0.80 82.7 90 0.68 46792.4 0.0396 0.0055 0.0057 0.0065 0.0080 0.0103
1.00 74.0 75 0.97 56150.9 0.0418 0.0132 0.0139 0.0163 0.0207 0.0269
1.20 67.5 70 1.12 60161.7 0.0427 0.0183 0.0194 0.0231 0.0297 0.0389
1.40 62.5 63 1.38 66846.3 0.0442 0.0304 0.0325 0.0395 0.0516 0.0681
1.60 58.5 60 1.52 70188.6 0.0449 0.0384 0.0413 0.0507 0.0666 0.0884
1.80 55.2
2.00 52.3
______________________________________________________________________________________________
4.40 0.60 96.6 100 0.56 43092.6 0.0385 0.0035 0.0036 0.0040 0.0049 0.0062
0.80 83.7 90 0.69 47880.6 0.0396 0.0057 0.0060 0.0068 0.0084 0.0107
1.00 74.8 75 1.00 57456.7 0.0418 0.0137 0.0145 0.0170 0.0217 0.0282
1.20 68.3 70 1.14 61560.8 0.0427 0.0191 0.0203 0.0242 0.0311 0.0407
1.40 63.3
1.60 59.2 60 1.56 71820.9 0.0449 0.0400 0.0431 0.0530 0.0697 0.0925
1.80 55.8
2.00 52.9
______________________________________________________________________________________________
4.50 0.60 97.7 100 0.57 44071.9 0.0384 0.0036 0.0037 0.0042 0.0051 0.0064
0.80 84.6 90 0.71 48968.8 0.0396 0.0060 0.0062 0.0071 0.0088 0.0112
1.00 75.7 80 0.90 55089.9 0.0410 0.0105 0.0110 0.0128 0.0162 0.0209
1.20 69.1 70 1.17 62959.9 0.0427 0.0199 0.0211 0.0252 0.0325 0.0425
1.40 64.0
1.60 59.8 60 1.59 73453.2 0.0449 0.0416 0.0449 0.0553 0.0728 0.0967
1.80 56.4
2.00 53.5
______________________________________________________________________________________________
4.60 0.60 98.8 100 0.59 45051.3 0.0384 0.0038 0.0039 0.0044 0.0053 0.0067
0.80 85.6 90 0.72 50057.0 0.0395 0.0062 0.0065 0.0074 0.0092 0.0117
1.00 76.5 80 0.92 56314.1 0.0409 0.0109 0.0115 0.0134 0.0169 0.0219
1.20 69.9 70 1.20 64359.0 0.0427 0.0207 0.0220 0.0263 0.0339 0.0444
1.40 64.7
1.60 60.5 63 1.48 71510.0 0.0442 0.0342 0.0368 0.0450 0.0589 0.0779
1.80 57.0 60 1.63 75085.5 0.0449 0.0433 0.0468 0.0577 0.0761 0.1011
2.00 54.1
______________________________________________________________________________________________
4.70 0.60 99.9 100 0.60 46030.7 0.0384 0.0039 0.0040 0.0045 0.0055 0.0070
0.80 86.5 90 0.74 51145.2 0.0395 0.0065 0.0067 0.0077 0.0096 0.0122
1.00 77.4 80 0.94 57538.4 0.0409 0.0113 0.0119 0.0139 0.0176 0.0228
1.20 70.6 75 1.06 61374.2 0.0417 0.0154 0.0163 0.0193 0.0247 0.0321
1.40 65.4 70 1.22 65758.1 0.0427 0.0215 0.0228 0.0274 0.0354 0.0464
1.60 61.2 63 1.51 73064.6 0.0442 0.0356 0.0383 0.0469 0.0614 0.0813
1.80 57.7 60 1.66 76717.8 0.0449 0.0450 0.0487 0.0602 0.0794 0.1055
2.00 54.7
______________________________________________________________________________________________
4.80 0.60 100.9 110 0.51 42736.4 0.0374 0.0026 0.0026 0.0029 0.0035 0.0044
0.80 87.4 90 0.75 52233.4 0.0395 0.0067 0.0070 0.0080 0.0100 0.0127
1.00 78.2 80 0.95 58762.6 0.0409 0.0118 0.0124 0.0145 0.0184 0.0238
1.20 71.4 75 1.09 62680.1 0.0417 0.0160 0.0170 0.0201 0.0257 0.0335
1.40 66.1 70 1.25 67157.2 0.0426 0.0223 0.0237 0.0285 0.0369 0.0484
1.60 61.8 63 1.54 74619.1 0.0441 0.0370 0.0398 0.0488 0.0640 0.0848
1.80 58.3 60 1.70 78350.1 0.0449 0.0467 0.0506 0.0627 0.0827 0.1100
2.00 55.3
______________________________________________________________________________________________
4.90 0.60 102.0 110 0.52 43626.8 0.0374 0.0027 0.0027 0.0031 0.0037 0.0046
0.80 88.3 90 0.77 53321.6 0.0395 0.0069 0.0072 0.0083 0.0104 0.0133
1.00 79.0 80 0.97 59986.8 0.0409 0.0122 0.0128 0.0151 0.0191 0.0248
1.20 72.1 75 1.11 63985.9 0.0417 0.0166 0.0176 0.0209 0.0268 0.0349
1.40 66.8 70 1.27 68556.3 0.0426 0.0231 0.0247 0.0297 0.0384 0.0504
1.60 62.4 63 1.57 76173.7 0.0441 0.0383 0.0413 0.0508 0.0667 0.0883
1.80 58.9 60 1.73 79982.4 0.0449 0.0485 0.0525 0.0652 0.0862 0.1146
2.00 55.9
______________________________________________________________________________________________
5.00 0.60 103.0 110 0.53 44517.1 0.0374 0.0028 0.0028 0.0032 0.0038 0.0048
0.80 89.2 90 0.79 54409.8 0.0395 0.0072 0.0075 0.0086 0.0108 0.0138
1.00 79.8 80 0.99 61211.0 0.0409 0.0127 0.0133 0.0157 0.0199 0.0258
1.20 72.8 75 1.13 65291.8 0.0417 0.0172 0.0183 0.0217 0.0278 0.0363
1.40 67.4 70 1.30 69955.4 0.0426 0.0240 0.0256 0.0308 0.0399 0.0524
1.60 63.1
1.80 59.5 60 1.77 81614.7 0.0449 0.0502 0.0545 0.0678 0.0897 0.1193
2.00 56.4
______________________________________________________________________________________________
5.10 0.60 104.0 110 0.54 45407.4 0.0373 0.0029 0.0029 0.0033 0.0040 0.0050
0.80 90.1 100 0.65 49948.2 0.0383 0.0045 0.0047 0.0053 0.0065 0.0082
1.00 80.6 90 0.80 55498.0 0.0394 0.0075 0.0078 0.0090 0.0112 0.0144
1.20 73.6 75 1.15 66597.6 0.0417 0.0179 0.0189 0.0225 0.0289 0.0378
1.40 68.1 70 1.33 71354.6 0.0426 0.0249 0.0265 0.0320 0.0415 0.0545
1.60 63.7
1.80 60.1 63 1.64 79282.8 0.0441 0.0412 0.0445 0.0548 0.0721 0.0956
2.00 57.0 60 1.80 83247.0 0.0448 0.0521 0.0566 0.0704 0.0932 0.1241
______________________________________________________________________________________________
5.20 0.60 105.0 110 0.55 46297.8 0.0373 0.0030 0.0031 0.0034 0.0041 0.0052
0.80 91.0 100 0.66 50927.6 0.0383 0.0047 0.0048 0.0055 0.0067 0.0086
1.00 81.4 90 0.82 56586.2 0.0394 0.0077 0.0081 0.0093 0.0116 0.0149
1.20 74.3 75 1.18 67903.4 0.0417 0.0185 0.0196 0.0234 0.0301 0.0393
1.40 68.8 70 1.35 72753.7 0.0426 0.0257 0.0275 0.0332 0.0431 0.0567
1.60 64.3
1.80 60.6 63 1.67 80837.4 0.0441 0.0427 0.0461 0.0569 0.0750 0.0994
2.00 57.5 60 1.84 84879.3 0.0448 0.0539 0.0586 0.0731 0.0969 0.1290
______________________________________________________________________________________________
5.30 0.60 106.1 110 0.56 47188.1 0.0373 0.0031 0.0032 0.0035 0.0043 0.0054
0.80 91.8 100 0.67 51906.9 0.0382 0.0048 0.0050 0.0057 0.0070 0.0089
1.00 82.1 90 0.83 57674.4 0.0394 0.0080 0.0084 0.0097 0.0121 0.0155
1.20 75.0 75 1.20 69209.3 0.0416 0.0191 0.0203 0.0243 0.0312 0.0408
1.40 69.4 70 1.38 74152.8 0.0426 0.0266 0.0285 0.0345 0.0448 0.0589
1.60 64.9
1.80 61.2 63 1.70 82392.0 0.0441 0.0441 0.0478 0.0591 0.0778 0.1032
2.00 58.1 60 1.87 86511.6 0.0448 0.0558 0.0607 0.0759 0.1006 0.1339
______________________________________________________________________________________________
5.40 0.60 107.0 110 0.57 48078.5 0.0373 0.0032 0.0033 0.0037 0.0044 0.0056
0.80 92.7 100 0.69 52886.3 0.0382 0.0050 0.0052 0.0059 0.0073 0.0092
1.00 82.9 90 0.85 58762.6 0.0394 0.0083 0.0086 0.0100 0.0125 0.0161
1.20 75.7 80 1.07 66107.9 0.0408 0.0145 0.0153 0.0181 0.0231 0.0300
1.40 70.1 75 1.22 70515.1 0.0416 0.0198 0.0210 0.0251 0.0324 0.0423
1.60 65.6 70 1.40 75551.9 0.0426 0.0275 0.0295 0.0357 0.0465 0.0611
1.80 61.8 63 1.73 83946.5 0.0441 0.0456 0.0494 0.0612 0.0807 0.1071
2.00 58.6 60 1.91 88143.9 0.0448 0.0577 0.0629 0.0787 0.1044 0.1390
______________________________________________________________________________________________
5.50 0.60 108.0 110 0.58 48968.8 0.0372 0.0033 0.0034 0.0038 0.0046 0.0058
0.80 93.6 100 0.70 53865.7 0.0382 0.0052 0.0054 0.0061 0.0075 0.0096
1.00 83.7 90 0.86 59850.8 0.0394 0.0085 0.0089 0.0104 0.0130 0.0167
1.20 76.4 80 1.09 67332.1 0.0408 0.0150 0.0159 0.0188 0.0240 0.0311
1.40 70.7 75 1.24 71820.9 0.0416 0.0204 0.0217 0.0260 0.0336 0.0439
1.60 66.2 70 1.43 76951.0 0.0426 0.0285 0.0305 0.0370 0.0482 0.0633
1.80 62.4 63 1.76 85501.1 0.0441 0.0472 0.0511 0.0634 0.0837 0.1111
2.00 59.2 60 1.95 89776.2 0.0448 0.0596 0.0651 0.0815 0.1082 0.1442
______________________________________________________________________________________________
5.60 0.60 109.0 110 0.59 49859.2 0.0372 0.0034 0.0035 0.0039 0.0048 0.0060
0.80 94.4 100 0.71 54845.1 0.0382 0.0053 0.0055 0.0063 0.0078 0.0099
1.00 84.4 90 0.88 60939.0 0.0393 0.0088 0.0092 0.0107 0.0134 0.0173
1.20 77.1 80 1.11 68556.3 0.0408 0.0155 0.0164 0.0194 0.0248 0.0323
1.40 71.4 75 1.27 73126.8 0.0416 0.0211 0.0225 0.0270 0.0348 0.0455
1.60 66.8 70 1.46 78350.1 0.0425 0.0294 0.0315 0.0383 0.0499 0.0657
1.80 62.9 63 1.80 87055.7 0.0441 0.0487 0.0529 0.0657 0.0868 0.1151
2.00 59.7 60 1.98 91408.5 0.0448 0.0616 0.0673 0.0844 0.1121 0.1494
______________________________________________________________________________________________
5.70 0.60 110.0 110 0.60 50749.5 0.0372 0.0035 0.0036 0.0040 0.0049 0.0062
0.80 95.2 100 0.73 55824.4 0.0382 0.0055 0.0057 0.0065 0.0081 0.0103
1.00 85.2 90 0.90 62027.2 0.0393 0.0091 0.0095 0.0111 0.0139 0.0179
1.20 77.8 80 1.13 69780.6 0.0408 0.0160 0.0169 0.0201 0.0257 0.0334
1.40 72.0 75 1.29 74432.6 0.0416 0.0218 0.0232 0.0279 0.0360 0.0471
1.60 67.3 70 1.48 79749.2 0.0425 0.0303 0.0325 0.0396 0.0517 0.0680
1.80 63.5
2.00 60.2 63 1.83 88610.2 0.0440 0.0503 0.0546 0.0680 0.0898 0.1193
______________________________________________________________________________________________
5.80 0.60 110.9 120 0.51 47336.5 0.0363 0.0024 0.0024 0.0027 0.0033 0.0041
0.80 96.1 100 0.74 56803.8 0.0381 0.0057 0.0059 0.0067 0.0083 0.0106
1.00 85.9 90 0.91 63115.4 0.0393 0.0094 0.0098 0.0114 0.0144 0.0185
1.20 78.4 80 1.15 71004.8 0.0407 0.0165 0.0175 0.0208 0.0266 0.0346
1.40 72.6 75 1.31 75738.4 0.0416 0.0225 0.0240 0.0288 0.0372 0.0488
1.60 67.9 70 1.51 81148.3 0.0425 0.0313 0.0336 0.0410 0.0535 0.0704
1.80 64.1
2.00 60.8 63 1.86 90164.8 0.0440 0.0519 0.0564 0.0703 0.0930 0.1235
______________________________________________________________________________________________
5.90 0.60 111.9 120 0.52 48152.7 0.0363 0.0024 0.0025 0.0028 0.0034 0.0042
0.80 96.9 100 0.75 57783.2 0.0381 0.0058 0.0061 0.0070 0.0086 0.0110
1.00 86.7 90 0.93 64203.6 0.0393 0.0097 0.0102 0.0118 0.0149 0.0192
1.20 79.1 80 1.17 72229.0 0.0407 0.0170 0.0180 0.0215 0.0275 0.0358
1.40 73.3 75 1.34 77044.3 0.0416 0.0232 0.0247 0.0298 0.0385 0.0504
1.60 68.5 70 1.53 82547.4 0.0425 0.0323 0.0347 0.0424 0.0553 0.0728
1.80 64.6
2.00 61.3 63 1.89 91719.4 0.0440 0.0535 0.0582 0.0727 0.0962 0.1277
______________________________________________________________________________________________
6.00 0.60 112.8 120 0.53 48968.8 0.0363 0.0025 0.0026 0.0029 0.0035 0.0043
0.80 97.7 100 0.76 58762.6 0.0381 0.0060 0.0063 0.0072 0.0089 0.0113
1.00 87.4 90 0.94 65291.8 0.0393 0.0100 0.0105 0.0122 0.0154 0.0198
1.20 79.8 80 1.19 73453.2 0.0407 0.0175 0.0186 0.0222 0.0284 0.0370
1.40 73.9 75 1.36 78350.1 0.0416 0.0239 0.0255 0.0308 0.0398 0.0521
1.60 69.1 70 1.56 83946.5 0.0425 0.0333 0.0358 0.0438 0.0572 0.0753
1.80 65.1
2.00 61.8 63 1.92 93273.9 0.0440 0.0551 0.0601 0.0751 0.0994 0.1321
______________________________________________________________________________________________
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______________________________________________________________________________________________
Se entra en la columna de la izquierda con el caudal de servicio y la velocidad máxima admisible, a la derecha tendremos el diámetro necesario y la pérdida de carga unitaria para varias rugosidades (desde 0.0015 hasta 0.9375)
Para caudales de 0,1 a 2 l/sg pulsar aqui
Para caudales de 2 a 4 l/sg pulsar aquiPara caudales de 0,1 a 2 l/sg pulsar aqui
Temperatura del agua tem = 10 ºC
me=1000-1.9549*10^(-2)*abs((tem-3.82))^1.68
densidad del agua me = 999.60 kg/m3
vid =2.414*10^-5*10^(247.8/(tem+273.15-140))
Viscosidad dinamica vid =0.001299537 kg/m·sg
______________________________________________________________________________________________
ve = velocidad maxima inicial
qs = caudal de servicio
dm = diametro minimo calculado d=2*sqr(q/ve/3.14159)
d = DIAMETRO comercial
vs = Velocidad de servicio vs=q/3.14159/(d/2)^2
re = Numero de Reynolds re=vs*d*me/vid
f = Factor de friccion (Colebrook) f=1/((2*log(k/(3.71*d)+(2.51)/(re*sqr(f)))/log(10))^2)
pcf = Perdida de carga por friccion (Darcy-Weisbach) pcf=f*(vs^2)/(d*2*9.8)
k = Rugosidad absoluta mm (valores medios que aumentan con la edad)
0.0015(Cobre/PVC) 0.003(PE) 0.005(PVC-U) 0.03(acero) 0.029(PRFV) 0.1(Fundicion) 0.15(fibrocemento)
______________________________________________________________________________________________
qs ve dm d vs re f pcf mca/m
l/sg m/sg mm mm m/sg kg·m/N·sg2 0.0015 0.0240 0.1215 0.3840 0.9375 (k)
______________________________________________________________________________________________
4.00 0.60 92.1 100 0.51 39175.1 0.0386 0.0029 0.0030 0.0034 0.0041 0.0051
0.80 79.8 80 0.80 48968.8 0.0411 0.0085 0.0089 0.0103 0.0129 0.0166
1.00 71.4 75 0.91 52233.4 0.0419 0.0116 0.0122 0.0142 0.0180 0.0234
1.20 65.1 70 1.04 55964.4 0.0428 0.0161 0.0170 0.0201 0.0258 0.0337
1.40 60.3 63 1.28 62182.6 0.0443 0.0267 0.0285 0.0344 0.0447 0.0590
1.60 56.4 60 1.41 65291.8 0.0450 0.0337 0.0362 0.0441 0.0578 0.0766
1.80 53.2
2.00 50.5
______________________________________________________________________________________________
4.10 0.60 93.3 100 0.52 40154.4 0.0386 0.0031 0.0032 0.0035 0.0043 0.0054
0.80 80.8 90 0.64 44616.0 0.0397 0.0051 0.0053 0.0060 0.0073 0.0093
1.00 72.3 75 0.93 53539.2 0.0419 0.0121 0.0127 0.0149 0.0189 0.0245
1.20 66.0 70 1.07 57363.5 0.0428 0.0168 0.0178 0.0211 0.0271 0.0354
1.40 61.1 63 1.32 63737.2 0.0442 0.0279 0.0298 0.0361 0.0470 0.0620
1.60 57.1 60 1.45 66924.0 0.0450 0.0352 0.0378 0.0463 0.0607 0.0804
1.80 53.9
2.00 51.1
______________________________________________________________________________________________
4.20 0.60 94.4 100 0.53 41133.8 0.0385 0.0032 0.0033 0.0037 0.0045 0.0056
0.80 81.8 90 0.66 45704.2 0.0397 0.0053 0.0055 0.0062 0.0077 0.0098
1.00 73.1 75 0.95 54845.1 0.0418 0.0126 0.0133 0.0156 0.0198 0.0257
1.20 66.8 70 1.09 58762.6 0.0427 0.0176 0.0186 0.0221 0.0284 0.0371
1.40 61.8 63 1.35 65291.8 0.0442 0.0291 0.0311 0.0378 0.0492 0.0650
1.60 57.8 60 1.49 68556.3 0.0450 0.0368 0.0396 0.0485 0.0636 0.0844
1.80 54.5
2.00 51.7
______________________________________________________________________________________________
4.30 0.60 95.5 100 0.55 42113.2 0.0385 0.0033 0.0034 0.0038 0.0047 0.0059
0.80 82.7 90 0.68 46792.4 0.0396 0.0055 0.0057 0.0065 0.0080 0.0103
1.00 74.0 75 0.97 56150.9 0.0418 0.0132 0.0139 0.0163 0.0207 0.0269
1.20 67.5 70 1.12 60161.7 0.0427 0.0183 0.0194 0.0231 0.0297 0.0389
1.40 62.5 63 1.38 66846.3 0.0442 0.0304 0.0325 0.0395 0.0516 0.0681
1.60 58.5 60 1.52 70188.6 0.0449 0.0384 0.0413 0.0507 0.0666 0.0884
1.80 55.2
2.00 52.3
______________________________________________________________________________________________
4.40 0.60 96.6 100 0.56 43092.6 0.0385 0.0035 0.0036 0.0040 0.0049 0.0062
0.80 83.7 90 0.69 47880.6 0.0396 0.0057 0.0060 0.0068 0.0084 0.0107
1.00 74.8 75 1.00 57456.7 0.0418 0.0137 0.0145 0.0170 0.0217 0.0282
1.20 68.3 70 1.14 61560.8 0.0427 0.0191 0.0203 0.0242 0.0311 0.0407
1.40 63.3
1.60 59.2 60 1.56 71820.9 0.0449 0.0400 0.0431 0.0530 0.0697 0.0925
1.80 55.8
2.00 52.9
______________________________________________________________________________________________
4.50 0.60 97.7 100 0.57 44071.9 0.0384 0.0036 0.0037 0.0042 0.0051 0.0064
0.80 84.6 90 0.71 48968.8 0.0396 0.0060 0.0062 0.0071 0.0088 0.0112
1.00 75.7 80 0.90 55089.9 0.0410 0.0105 0.0110 0.0128 0.0162 0.0209
1.20 69.1 70 1.17 62959.9 0.0427 0.0199 0.0211 0.0252 0.0325 0.0425
1.40 64.0
1.60 59.8 60 1.59 73453.2 0.0449 0.0416 0.0449 0.0553 0.0728 0.0967
1.80 56.4
2.00 53.5
______________________________________________________________________________________________
4.60 0.60 98.8 100 0.59 45051.3 0.0384 0.0038 0.0039 0.0044 0.0053 0.0067
0.80 85.6 90 0.72 50057.0 0.0395 0.0062 0.0065 0.0074 0.0092 0.0117
1.00 76.5 80 0.92 56314.1 0.0409 0.0109 0.0115 0.0134 0.0169 0.0219
1.20 69.9 70 1.20 64359.0 0.0427 0.0207 0.0220 0.0263 0.0339 0.0444
1.40 64.7
1.60 60.5 63 1.48 71510.0 0.0442 0.0342 0.0368 0.0450 0.0589 0.0779
1.80 57.0 60 1.63 75085.5 0.0449 0.0433 0.0468 0.0577 0.0761 0.1011
2.00 54.1
______________________________________________________________________________________________
4.70 0.60 99.9 100 0.60 46030.7 0.0384 0.0039 0.0040 0.0045 0.0055 0.0070
0.80 86.5 90 0.74 51145.2 0.0395 0.0065 0.0067 0.0077 0.0096 0.0122
1.00 77.4 80 0.94 57538.4 0.0409 0.0113 0.0119 0.0139 0.0176 0.0228
1.20 70.6 75 1.06 61374.2 0.0417 0.0154 0.0163 0.0193 0.0247 0.0321
1.40 65.4 70 1.22 65758.1 0.0427 0.0215 0.0228 0.0274 0.0354 0.0464
1.60 61.2 63 1.51 73064.6 0.0442 0.0356 0.0383 0.0469 0.0614 0.0813
1.80 57.7 60 1.66 76717.8 0.0449 0.0450 0.0487 0.0602 0.0794 0.1055
2.00 54.7
______________________________________________________________________________________________
4.80 0.60 100.9 110 0.51 42736.4 0.0374 0.0026 0.0026 0.0029 0.0035 0.0044
0.80 87.4 90 0.75 52233.4 0.0395 0.0067 0.0070 0.0080 0.0100 0.0127
1.00 78.2 80 0.95 58762.6 0.0409 0.0118 0.0124 0.0145 0.0184 0.0238
1.20 71.4 75 1.09 62680.1 0.0417 0.0160 0.0170 0.0201 0.0257 0.0335
1.40 66.1 70 1.25 67157.2 0.0426 0.0223 0.0237 0.0285 0.0369 0.0484
1.60 61.8 63 1.54 74619.1 0.0441 0.0370 0.0398 0.0488 0.0640 0.0848
1.80 58.3 60 1.70 78350.1 0.0449 0.0467 0.0506 0.0627 0.0827 0.1100
2.00 55.3
______________________________________________________________________________________________
4.90 0.60 102.0 110 0.52 43626.8 0.0374 0.0027 0.0027 0.0031 0.0037 0.0046
0.80 88.3 90 0.77 53321.6 0.0395 0.0069 0.0072 0.0083 0.0104 0.0133
1.00 79.0 80 0.97 59986.8 0.0409 0.0122 0.0128 0.0151 0.0191 0.0248
1.20 72.1 75 1.11 63985.9 0.0417 0.0166 0.0176 0.0209 0.0268 0.0349
1.40 66.8 70 1.27 68556.3 0.0426 0.0231 0.0247 0.0297 0.0384 0.0504
1.60 62.4 63 1.57 76173.7 0.0441 0.0383 0.0413 0.0508 0.0667 0.0883
1.80 58.9 60 1.73 79982.4 0.0449 0.0485 0.0525 0.0652 0.0862 0.1146
2.00 55.9
______________________________________________________________________________________________
5.00 0.60 103.0 110 0.53 44517.1 0.0374 0.0028 0.0028 0.0032 0.0038 0.0048
0.80 89.2 90 0.79 54409.8 0.0395 0.0072 0.0075 0.0086 0.0108 0.0138
1.00 79.8 80 0.99 61211.0 0.0409 0.0127 0.0133 0.0157 0.0199 0.0258
1.20 72.8 75 1.13 65291.8 0.0417 0.0172 0.0183 0.0217 0.0278 0.0363
1.40 67.4 70 1.30 69955.4 0.0426 0.0240 0.0256 0.0308 0.0399 0.0524
1.60 63.1
1.80 59.5 60 1.77 81614.7 0.0449 0.0502 0.0545 0.0678 0.0897 0.1193
2.00 56.4
______________________________________________________________________________________________
5.10 0.60 104.0 110 0.54 45407.4 0.0373 0.0029 0.0029 0.0033 0.0040 0.0050
0.80 90.1 100 0.65 49948.2 0.0383 0.0045 0.0047 0.0053 0.0065 0.0082
1.00 80.6 90 0.80 55498.0 0.0394 0.0075 0.0078 0.0090 0.0112 0.0144
1.20 73.6 75 1.15 66597.6 0.0417 0.0179 0.0189 0.0225 0.0289 0.0378
1.40 68.1 70 1.33 71354.6 0.0426 0.0249 0.0265 0.0320 0.0415 0.0545
1.60 63.7
1.80 60.1 63 1.64 79282.8 0.0441 0.0412 0.0445 0.0548 0.0721 0.0956
2.00 57.0 60 1.80 83247.0 0.0448 0.0521 0.0566 0.0704 0.0932 0.1241
______________________________________________________________________________________________
5.20 0.60 105.0 110 0.55 46297.8 0.0373 0.0030 0.0031 0.0034 0.0041 0.0052
0.80 91.0 100 0.66 50927.6 0.0383 0.0047 0.0048 0.0055 0.0067 0.0086
1.00 81.4 90 0.82 56586.2 0.0394 0.0077 0.0081 0.0093 0.0116 0.0149
1.20 74.3 75 1.18 67903.4 0.0417 0.0185 0.0196 0.0234 0.0301 0.0393
1.40 68.8 70 1.35 72753.7 0.0426 0.0257 0.0275 0.0332 0.0431 0.0567
1.60 64.3
1.80 60.6 63 1.67 80837.4 0.0441 0.0427 0.0461 0.0569 0.0750 0.0994
2.00 57.5 60 1.84 84879.3 0.0448 0.0539 0.0586 0.0731 0.0969 0.1290
______________________________________________________________________________________________
5.30 0.60 106.1 110 0.56 47188.1 0.0373 0.0031 0.0032 0.0035 0.0043 0.0054
0.80 91.8 100 0.67 51906.9 0.0382 0.0048 0.0050 0.0057 0.0070 0.0089
1.00 82.1 90 0.83 57674.4 0.0394 0.0080 0.0084 0.0097 0.0121 0.0155
1.20 75.0 75 1.20 69209.3 0.0416 0.0191 0.0203 0.0243 0.0312 0.0408
1.40 69.4 70 1.38 74152.8 0.0426 0.0266 0.0285 0.0345 0.0448 0.0589
1.60 64.9
1.80 61.2 63 1.70 82392.0 0.0441 0.0441 0.0478 0.0591 0.0778 0.1032
2.00 58.1 60 1.87 86511.6 0.0448 0.0558 0.0607 0.0759 0.1006 0.1339
______________________________________________________________________________________________
5.40 0.60 107.0 110 0.57 48078.5 0.0373 0.0032 0.0033 0.0037 0.0044 0.0056
0.80 92.7 100 0.69 52886.3 0.0382 0.0050 0.0052 0.0059 0.0073 0.0092
1.00 82.9 90 0.85 58762.6 0.0394 0.0083 0.0086 0.0100 0.0125 0.0161
1.20 75.7 80 1.07 66107.9 0.0408 0.0145 0.0153 0.0181 0.0231 0.0300
1.40 70.1 75 1.22 70515.1 0.0416 0.0198 0.0210 0.0251 0.0324 0.0423
1.60 65.6 70 1.40 75551.9 0.0426 0.0275 0.0295 0.0357 0.0465 0.0611
1.80 61.8 63 1.73 83946.5 0.0441 0.0456 0.0494 0.0612 0.0807 0.1071
2.00 58.6 60 1.91 88143.9 0.0448 0.0577 0.0629 0.0787 0.1044 0.1390
______________________________________________________________________________________________
5.50 0.60 108.0 110 0.58 48968.8 0.0372 0.0033 0.0034 0.0038 0.0046 0.0058
0.80 93.6 100 0.70 53865.7 0.0382 0.0052 0.0054 0.0061 0.0075 0.0096
1.00 83.7 90 0.86 59850.8 0.0394 0.0085 0.0089 0.0104 0.0130 0.0167
1.20 76.4 80 1.09 67332.1 0.0408 0.0150 0.0159 0.0188 0.0240 0.0311
1.40 70.7 75 1.24 71820.9 0.0416 0.0204 0.0217 0.0260 0.0336 0.0439
1.60 66.2 70 1.43 76951.0 0.0426 0.0285 0.0305 0.0370 0.0482 0.0633
1.80 62.4 63 1.76 85501.1 0.0441 0.0472 0.0511 0.0634 0.0837 0.1111
2.00 59.2 60 1.95 89776.2 0.0448 0.0596 0.0651 0.0815 0.1082 0.1442
______________________________________________________________________________________________
5.60 0.60 109.0 110 0.59 49859.2 0.0372 0.0034 0.0035 0.0039 0.0048 0.0060
0.80 94.4 100 0.71 54845.1 0.0382 0.0053 0.0055 0.0063 0.0078 0.0099
1.00 84.4 90 0.88 60939.0 0.0393 0.0088 0.0092 0.0107 0.0134 0.0173
1.20 77.1 80 1.11 68556.3 0.0408 0.0155 0.0164 0.0194 0.0248 0.0323
1.40 71.4 75 1.27 73126.8 0.0416 0.0211 0.0225 0.0270 0.0348 0.0455
1.60 66.8 70 1.46 78350.1 0.0425 0.0294 0.0315 0.0383 0.0499 0.0657
1.80 62.9 63 1.80 87055.7 0.0441 0.0487 0.0529 0.0657 0.0868 0.1151
2.00 59.7 60 1.98 91408.5 0.0448 0.0616 0.0673 0.0844 0.1121 0.1494
______________________________________________________________________________________________
5.70 0.60 110.0 110 0.60 50749.5 0.0372 0.0035 0.0036 0.0040 0.0049 0.0062
0.80 95.2 100 0.73 55824.4 0.0382 0.0055 0.0057 0.0065 0.0081 0.0103
1.00 85.2 90 0.90 62027.2 0.0393 0.0091 0.0095 0.0111 0.0139 0.0179
1.20 77.8 80 1.13 69780.6 0.0408 0.0160 0.0169 0.0201 0.0257 0.0334
1.40 72.0 75 1.29 74432.6 0.0416 0.0218 0.0232 0.0279 0.0360 0.0471
1.60 67.3 70 1.48 79749.2 0.0425 0.0303 0.0325 0.0396 0.0517 0.0680
1.80 63.5
2.00 60.2 63 1.83 88610.2 0.0440 0.0503 0.0546 0.0680 0.0898 0.1193
______________________________________________________________________________________________
5.80 0.60 110.9 120 0.51 47336.5 0.0363 0.0024 0.0024 0.0027 0.0033 0.0041
0.80 96.1 100 0.74 56803.8 0.0381 0.0057 0.0059 0.0067 0.0083 0.0106
1.00 85.9 90 0.91 63115.4 0.0393 0.0094 0.0098 0.0114 0.0144 0.0185
1.20 78.4 80 1.15 71004.8 0.0407 0.0165 0.0175 0.0208 0.0266 0.0346
1.40 72.6 75 1.31 75738.4 0.0416 0.0225 0.0240 0.0288 0.0372 0.0488
1.60 67.9 70 1.51 81148.3 0.0425 0.0313 0.0336 0.0410 0.0535 0.0704
1.80 64.1
2.00 60.8 63 1.86 90164.8 0.0440 0.0519 0.0564 0.0703 0.0930 0.1235
______________________________________________________________________________________________
5.90 0.60 111.9 120 0.52 48152.7 0.0363 0.0024 0.0025 0.0028 0.0034 0.0042
0.80 96.9 100 0.75 57783.2 0.0381 0.0058 0.0061 0.0070 0.0086 0.0110
1.00 86.7 90 0.93 64203.6 0.0393 0.0097 0.0102 0.0118 0.0149 0.0192
1.20 79.1 80 1.17 72229.0 0.0407 0.0170 0.0180 0.0215 0.0275 0.0358
1.40 73.3 75 1.34 77044.3 0.0416 0.0232 0.0247 0.0298 0.0385 0.0504
1.60 68.5 70 1.53 82547.4 0.0425 0.0323 0.0347 0.0424 0.0553 0.0728
1.80 64.6
2.00 61.3 63 1.89 91719.4 0.0440 0.0535 0.0582 0.0727 0.0962 0.1277
______________________________________________________________________________________________
6.00 0.60 112.8 120 0.53 48968.8 0.0363 0.0025 0.0026 0.0029 0.0035 0.0043
0.80 97.7 100 0.76 58762.6 0.0381 0.0060 0.0063 0.0072 0.0089 0.0113
1.00 87.4 90 0.94 65291.8 0.0393 0.0100 0.0105 0.0122 0.0154 0.0198
1.20 79.8 80 1.19 73453.2 0.0407 0.0175 0.0186 0.0222 0.0284 0.0370
1.40 73.9 75 1.36 78350.1 0.0416 0.0239 0.0255 0.0308 0.0398 0.0521
1.60 69.1 70 1.56 83946.5 0.0425 0.0333 0.0358 0.0438 0.0572 0.0753
1.80 65.1
2.00 61.8 63 1.92 93273.9 0.0440 0.0551 0.0601 0.0751 0.0994 0.1321
______________________________________________________________________________________________
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