La viscosidad dinámica (vid) del agua es una función de su temperatura (tem).
vid = 2.414 · 10-5 · 10247.8/(tem + 273.15 - 140)
Mostrando entradas con la etiqueta Hidráulica. Mostrar todas las entradas
Mostrando entradas con la etiqueta Hidráulica. Mostrar todas las entradas
miércoles, 13 de octubre de 2021
sábado, 7 de abril de 2018
Presion minima necesaria en la red y el diametro de la conduccion
'acometida.bas calcula la presion minima necesaria en una red y el diametro de esa conduccion
cls
alt=2 'm altura de los puntos de consumo
lon=22 'm longitud de la conduccion
qs= 1.85 : q=qs*10^(-3) 'caudal l/sg : m3/sg
kk =0.0015 : k=kk/1000 'rugosidad absoluta mm : m
psm=2 : ps=psm*10^(-4) 'presion de servicio minima necesaria kg/cm2 : kg/m2
ve= 0.6 'm/sg velocidad maxima
tem=20 'temperatura del agua en ºC
cls
alt=2 'm altura de los puntos de consumo
lon=22 'm longitud de la conduccion
qs= 1.85 : q=qs*10^(-3) 'caudal l/sg : m3/sg
kk =0.0015 : k=kk/1000 'rugosidad absoluta mm : m
psm=2 : ps=psm*10^(-4) 'presion de servicio minima necesaria kg/cm2 : kg/m2
ve= 0.6 'm/sg velocidad maxima
tem=20 'temperatura del agua en ºC
viernes, 30 de enero de 2015
jueves, 29 de enero de 2015
Calculo rapido del diametro de un canalon
m2 de cubiera diametro del canalon
Sup < 39 10cm
39< Sup < 100 15 cm
100< Sup < 200 20 cm
200< Sup < 300 25 cm
300< Sup < 400 30 cm
domingo, 10 de julio de 2011
TUBERIAS DE PRESION CAUDAL 8 - 10 l/sg Tablas y formulas
TABLA PARA DIMENSIONAR TUBERIAS con CAUDALES entre 8 y 10 l/sg
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)
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)
______________________________________________________________________________________________
8.00 0.60 130.3 140 0.52 55964.4 0.0346 0.0020 0.0021 0.0023 0.0027 0.0034
0.80 112.8 120 0.71 65291.8 0.0360 0.0042 0.0044 0.0049 0.0061 0.0077
1.00 100.9 110 0.84 71227.4 0.0368 0.0064 0.0067 0.0077 0.0095 0.0121
1.20 92.1 100 1.02 78350.1 0.0379 0.0101 0.0106 0.0124 0.0156 0.0200
1.40 85.3 90 1.26 87055.7 0.0391 0.0167 0.0177 0.0211 0.0270 0.0350
1.60 79.8 80 1.59 97937.6 0.0405 0.0293 0.0315 0.0385 0.0500 0.0655
1.80 75.2
2.00 71.4 75 1.81 104466.8 0.0414 0.0400 0.0433 0.0535 0.0702 0.0923
______________________________________________________________________________________________
8.10 0.60 131.1 140 0.53 56663.9 0.0346 0.0021 0.0021 0.0023 0.0028 0.0035
0.80 113.5 120 0.72 66107.9 0.0359 0.0043 0.0045 0.0051 0.0062 0.0078
1.00 101.6 110 0.85 72117.7 0.0368 0.0065 0.0068 0.0078 0.0097 0.0124
1.20 92.7 100 1.03 79329.5 0.0378 0.0103 0.0108 0.0127 0.0160 0.0205
1.40 85.8 90 1.27 88143.9 0.0391 0.0171 0.0181 0.0216 0.0277 0.0359
1.60 80.3
1.80 75.7 80 1.61 99161.8 0.0405 0.0300 0.0323 0.0394 0.0512 0.0671
2.00 71.8 75 1.83 105772.6 0.0414 0.0409 0.0443 0.0548 0.0719 0.0946
______________________________________________________________________________________________
8.20 0.60 131.9 140 0.53 57363.5 0.0345 0.0021 0.0022 0.0024 0.0029 0.0036
0.80 114.2 120 0.73 66924.0 0.0359 0.0044 0.0046 0.0052 0.0064 0.0080
1.00 102.2 110 0.86 73008.0 0.0368 0.0067 0.0070 0.0080 0.0100 0.0127
1.20 93.3 100 1.04 80308.9 0.0378 0.0105 0.0111 0.0130 0.0164 0.0210
1.40 86.4 90 1.29 89232.1 0.0391 0.0174 0.0185 0.0221 0.0283 0.0368
1.60 80.8
1.80 76.2 80 1.63 100386.1 0.0405 0.0307 0.0330 0.0403 0.0525 0.0688
2.00 72.3 75 1.86 107078.5 0.0414 0.0418 0.0454 0.0561 0.0737 0.0970
______________________________________________________________________________________________
8.30 0.60 132.7 140 0.54 58063.0 0.0345 0.0021 0.0022 0.0025 0.0029 0.0037
0.80 114.9 120 0.73 67740.2 0.0359 0.0045 0.0047 0.0053 0.0065 0.0082
1.00 102.8 110 0.87 73898.4 0.0368 0.0068 0.0071 0.0082 0.0102 0.0130
1.20 93.8 100 1.06 81288.2 0.0378 0.0107 0.0113 0.0133 0.0168 0.0216
1.40 86.9 90 1.30 90320.3 0.0390 0.0178 0.0189 0.0227 0.0290 0.0377
1.60 81.3
1.80 76.6 80 1.65 101610.3 0.0405 0.0314 0.0338 0.0413 0.0538 0.0705
2.00 72.7 75 1.88 108384.3 0.0414 0.0427 0.0464 0.0575 0.0754 0.0994
______________________________________________________________________________________________
8.40 0.60 133.5 140 0.55 58762.6 0.0345 0.0022 0.0023 0.0025 0.0030 0.0037
0.80 115.6 120 0.74 68556.3 0.0359 0.0046 0.0048 0.0054 0.0067 0.0084
1.00 103.4 110 0.88 74788.7 0.0368 0.0070 0.0073 0.0084 0.0105 0.0133
1.20 94.4 100 1.07 82267.6 0.0378 0.0110 0.0116 0.0136 0.0172 0.0221
1.40 87.4 90 1.32 91408.5 0.0390 0.0182 0.0194 0.0232 0.0297 0.0386
1.60 81.8
1.80 77.1 80 1.67 102834.5 0.0405 0.0320 0.0345 0.0423 0.0551 0.0722
2.00 73.1 75 1.90 109690.1 0.0414 0.0437 0.0474 0.0588 0.0772 0.1017
______________________________________________________________________________________________
8.50 0.60 134.3 140 0.55 59462.1 0.0345 0.0022 0.0023 0.0026 0.0031 0.0038
0.80 116.3 120 0.75 69372.5 0.0359 0.0047 0.0049 0.0055 0.0068 0.0086
1.00 104.0 110 0.89 75679.1 0.0368 0.0071 0.0074 0.0086 0.0107 0.0136
1.20 95.0 100 1.08 83247.0 0.0378 0.0112 0.0118 0.0139 0.0176 0.0226
1.40 87.9 90 1.34 92496.6 0.0390 0.0186 0.0198 0.0237 0.0304 0.0395
1.60 82.2
1.80 77.5 80 1.69 104058.7 0.0405 0.0327 0.0353 0.0432 0.0564 0.0739
2.00 73.6 75 1.92 110996.0 0.0414 0.0446 0.0485 0.0602 0.0791 0.1042
______________________________________________________________________________________________
8.60 0.60 135.1 140 0.56 60161.7 0.0345 0.0023 0.0024 0.0026 0.0032 0.0039
0.80 117.0 120 0.76 70188.6 0.0359 0.0048 0.0050 0.0057 0.0070 0.0088
1.00 104.6 110 0.90 76569.4 0.0368 0.0073 0.0076 0.0088 0.0109 0.0140
1.20 95.5 100 1.09 84226.4 0.0378 0.0115 0.0121 0.0142 0.0180 0.0231
1.40 88.4 90 1.35 93584.8 0.0390 0.0190 0.0202 0.0242 0.0311 0.0404
1.60 82.7
1.80 78.0 80 1.71 105282.9 0.0405 0.0334 0.0361 0.0442 0.0577 0.0756
2.00 74.0 75 1.95 112301.8 0.0414 0.0456 0.0495 0.0616 0.0809 0.1066
______________________________________________________________________________________________
8.70 0.60 135.9 140 0.57 60861.2 0.0345 0.0023 0.0024 0.0027 0.0032 0.0040
0.80 117.7 120 0.77 71004.8 0.0359 0.0049 0.0051 0.0058 0.0071 0.0090
1.00 105.2 110 0.92 77459.8 0.0368 0.0074 0.0078 0.0090 0.0112 0.0143
1.20 96.1 100 1.11 85205.7 0.0378 0.0117 0.0123 0.0145 0.0184 0.0237
1.40 89.0 90 1.37 94673.0 0.0390 0.0194 0.0207 0.0248 0.0318 0.0414
1.60 83.2
1.80 78.4 80 1.73 106507.2 0.0405 0.0341 0.0368 0.0452 0.0590 0.0774
2.00 74.4 75 1.97 113607.6 0.0414 0.0465 0.0506 0.0630 0.0828 0.1091
______________________________________________________________________________________________
8.80 0.60 136.7 140 0.57 61560.8 0.0345 0.0024 0.0025 0.0027 0.0033 0.0041
0.80 118.3 120 0.78 71820.9 0.0359 0.0050 0.0052 0.0059 0.0073 0.0092
1.00 105.9 110 0.93 78350.1 0.0367 0.0076 0.0079 0.0092 0.0114 0.0146
1.20 96.6 100 1.12 86185.1 0.0378 0.0119 0.0126 0.0148 0.0188 0.0242
1.40 89.5 90 1.38 95761.2 0.0390 0.0198 0.0211 0.0253 0.0326 0.0423
1.60 83.7
1.80 78.9 80 1.75 107731.4 0.0405 0.0348 0.0376 0.0462 0.0603 0.0791
2.00 74.8 75 1.99 114913.5 0.0414 0.0475 0.0517 0.0644 0.0847 0.1116
______________________________________________________________________________________________
8.90 0.60 137.4 140 0.58 62260.3 0.0344 0.0024 0.0025 0.0028 0.0034 0.0042
0.80 119.0 120 0.79 72637.1 0.0359 0.0051 0.0053 0.0060 0.0075 0.0094
1.00 106.5 110 0.94 79240.4 0.0367 0.0077 0.0081 0.0094 0.0117 0.0149
1.20 97.2 100 1.13 87164.5 0.0378 0.0122 0.0129 0.0152 0.0192 0.0247
1.40 90.0 90 1.40 96849.4 0.0390 0.0202 0.0215 0.0259 0.0333 0.0433
1.60 84.2
1.80 79.3 80 1.77 108955.6 0.0405 0.0355 0.0384 0.0473 0.0617 0.0809
2.00 75.3
______________________________________________________________________________________________
9.00 0.60 138.2 140 0.58 62959.9 0.0344 0.0025 0.0026 0.0029 0.0034 0.0043
0.80 119.7 120 0.80 73453.2 0.0358 0.0052 0.0054 0.0062 0.0076 0.0097
1.00 107.0 110 0.95 80130.8 0.0367 0.0079 0.0082 0.0096 0.0120 0.0153
1.20 97.7 100 1.15 88143.9 0.0378 0.0124 0.0131 0.0155 0.0196 0.0253
1.40 90.5
1.60 84.6 90 1.41 97937.6 0.0390 0.0206 0.0220 0.0265 0.0340 0.0442
1.80 79.8 80 1.79 110179.8 0.0405 0.0363 0.0392 0.0483 0.0631 0.0828
2.00 75.7
______________________________________________________________________________________________
9.10 0.60 139.0 140 0.59 63659.5 0.0344 0.0025 0.0026 0.0029 0.0035 0.0044
0.80 120.3 125 0.74 71298.6 0.0354 0.0043 0.0045 0.0051 0.0063 0.0080
1.00 107.6 110 0.96 81021.1 0.0367 0.0080 0.0084 0.0098 0.0122 0.0156
1.20 98.3 100 1.16 89123.2 0.0378 0.0127 0.0134 0.0158 0.0201 0.0259
1.40 91.0
1.60 85.1 90 1.43 99025.8 0.0390 0.0210 0.0224 0.0270 0.0348 0.0452
1.80 80.2
2.00 76.1 80 1.81 111404.0 0.0405 0.0370 0.0400 0.0493 0.0645 0.0846
______________________________________________________________________________________________
9.20 0.60 139.7 140 0.60 64359.0 0.0344 0.0026 0.0027 0.0030 0.0036 0.0045
0.80 121.0 125 0.75 72082.1 0.0354 0.0044 0.0046 0.0052 0.0064 0.0081
1.00 108.2 110 0.97 81911.5 0.0367 0.0082 0.0086 0.0100 0.0125 0.0160
1.20 98.8 100 1.17 90102.6 0.0377 0.0129 0.0137 0.0162 0.0205 0.0264
1.40 91.5
1.60 85.6 90 1.45 100114.0 0.0390 0.0214 0.0229 0.0276 0.0355 0.0462
1.80 80.7
2.00 76.5 80 1.83 112628.3 0.0405 0.0377 0.0408 0.0504 0.0659 0.0865
______________________________________________________________________________________________
9.30 0.60 140.5 150 0.53 60721.3 0.0338 0.0019 0.0019 0.0022 0.0026 0.0032
0.80 121.7 125 0.76 72865.6 0.0354 0.0045 0.0047 0.0053 0.0066 0.0083
1.00 108.8 110 0.98 82801.8 0.0367 0.0083 0.0088 0.0102 0.0128 0.0163
1.20 99.3 100 1.18 91082.0 0.0377 0.0132 0.0139 0.0165 0.0209 0.0270
1.40 92.0
1.60 86.0 90 1.46 101202.2 0.0390 0.0218 0.0234 0.0282 0.0363 0.0472
1.80 81.1
2.00 76.9 80 1.85 113852.5 0.0405 0.0385 0.0417 0.0514 0.0673 0.0883
______________________________________________________________________________________________
9.40 0.60 141.2 150 0.53 61374.2 0.0338 0.0019 0.0020 0.0022 0.0026 0.0033
0.80 122.3 125 0.77 73649.1 0.0354 0.0046 0.0048 0.0055 0.0067 0.0085
1.00 109.4 110 0.99 83692.2 0.0367 0.0085 0.0089 0.0104 0.0130 0.0167
1.20 99.9 100 1.20 92061.4 0.0377 0.0134 0.0142 0.0168 0.0214 0.0276
1.40 92.5
1.60 86.5 90 1.48 102290.4 0.0390 0.0223 0.0238 0.0288 0.0371 0.0482
1.80 81.5
2.00 77.4 80 1.87 115076.7 0.0405 0.0392 0.0425 0.0525 0.0687 0.0902
______________________________________________________________________________________________
9.50 0.60 142.0 150 0.54 62027.2 0.0338 0.0020 0.0020 0.0022 0.0027 0.0033
0.80 123.0 125 0.77 74432.6 0.0354 0.0047 0.0049 0.0056 0.0069 0.0087
1.00 110.0 110 1.00 84582.5 0.0367 0.0087 0.0091 0.0106 0.0133 0.0170
1.20 100.4
1.40 93.0 100 1.21 93040.7 0.0377 0.0137 0.0145 0.0172 0.0218 0.0282
1.60 86.9 90 1.49 103378.6 0.0390 0.0227 0.0243 0.0294 0.0379 0.0493
1.80 82.0
2.00 77.8 80 1.89 116300.9 0.0405 0.0400 0.0433 0.0536 0.0702 0.0922
______________________________________________________________________________________________
9.60 0.60 142.7 150 0.54 62680.1 0.0338 0.0020 0.0021 0.0023 0.0027 0.0034
0.80 123.6 125 0.78 75216.1 0.0354 0.0048 0.0050 0.0057 0.0070 0.0088
1.00 110.6 120 0.85 78350.1 0.0358 0.0058 0.0061 0.0070 0.0086 0.0110
1.20 100.9 110 1.01 85472.8 0.0367 0.0088 0.0093 0.0108 0.0136 0.0174
1.40 93.4 100 1.22 94020.1 0.0377 0.0140 0.0148 0.0175 0.0223 0.0288
1.60 87.4 90 1.51 104466.8 0.0390 0.0231 0.0248 0.0299 0.0386 0.0503
1.80 82.4
2.00 78.2 80 1.91 117525.2 0.0404 0.0407 0.0442 0.0547 0.0716 0.0941
______________________________________________________________________________________________
9.70 0.60 143.5 150 0.55 63333.0 0.0338 0.0020 0.0021 0.0023 0.0028 0.0035
0.80 124.2 125 0.79 75999.6 0.0354 0.0049 0.0051 0.0058 0.0071 0.0090
1.00 111.1 120 0.86 79166.2 0.0358 0.0059 0.0062 0.0071 0.0088 0.0112
1.20 101.4 110 1.02 86363.2 0.0367 0.0090 0.0095 0.0110 0.0138 0.0177
1.40 93.9 100 1.24 94999.5 0.0377 0.0142 0.0151 0.0179 0.0227 0.0294
1.60 87.9 90 1.52 105555.0 0.0390 0.0236 0.0252 0.0306 0.0394 0.0513
1.80 82.8
2.00 78.6 80 1.93 118749.4 0.0404 0.0415 0.0451 0.0558 0.0731 0.0961
______________________________________________________________________________________________
9.80 0.60 144.2 150 0.55 63985.9 0.0337 0.0021 0.0021 0.0024 0.0028 0.0035
0.80 124.9 125 0.80 76783.1 0.0354 0.0050 0.0052 0.0059 0.0073 0.0092
1.00 111.7 120 0.87 79982.4 0.0358 0.0060 0.0063 0.0073 0.0090 0.0114
1.20 102.0 110 1.03 87253.5 0.0367 0.0092 0.0096 0.0112 0.0141 0.0181
1.40 94.4 100 1.25 95978.9 0.0377 0.0145 0.0153 0.0182 0.0232 0.0300
1.60 88.3 90 1.54 106643.2 0.0389 0.0240 0.0257 0.0312 0.0402 0.0524
1.80 83.3
2.00 79.0 80 1.95 119973.6 0.0404 0.0423 0.0459 0.0569 0.0746 0.0980
______________________________________________________________________________________________
9.90 0.60 144.9 150 0.56 64638.8 0.0337 0.0021 0.0022 0.0024 0.0029 0.0036
0.80 125.5 130 0.75 74583.3 0.0350 0.0042 0.0044 0.0049 0.0061 0.0076
1.00 112.3 120 0.88 80798.5 0.0358 0.0061 0.0064 0.0074 0.0092 0.0117
1.20 102.5 110 1.04 88143.9 0.0367 0.0093 0.0098 0.0115 0.0144 0.0185
1.40 94.9 100 1.26 96958.2 0.0377 0.0147 0.0156 0.0186 0.0237 0.0306
1.60 88.8 90 1.56 107731.4 0.0389 0.0244 0.0262 0.0318 0.0411 0.0535
1.80 83.7
2.00 79.4 80 1.97 121197.8 0.0404 0.0430 0.0468 0.0581 0.0761 0.1000
______________________________________________________________________________________________
10.00 0.60 145.7 150 0.57 65291.8 0.0337 0.0022 0.0022 0.0025 0.0030 0.0037
0.80 126.2 130 0.75 75336.6 0.0350 0.0043 0.0044 0.0050 0.0062 0.0078
1.00 112.8 120 0.88 81614.7 0.0358 0.0063 0.0065 0.0075 0.0094 0.0119
1.20 103.0 110 1.05 89034.2 0.0366 0.0095 0.0100 0.0117 0.0147 0.0188
1.40 95.4 100 1.27 97937.6 0.0377 0.0150 0.0159 0.0189 0.0241 0.0312
1.60 89.2 90 1.57 108819.6 0.0389 0.0249 0.0267 0.0324 0.0419 0.0545
1.80 84.1
2.00 79.8 80 1.99 122422.0 0.0404 0.0438 0.0477 0.0592 0.0777 0.1020
______________________________________________________________________________________________
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______________________________________________________________________________________________
TUBERIAS DE PRESION CAUDAL 6 - 8 l/sg Tablas y formulas
TABLA PARA DIMENSIONAR TUBERIAS con CAUDALES entre 6 y 8 l/sg
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)
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)
______________________________________________________________________________________________
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
______________________________________________________________________________________________
6.10 0.60 113.8 120 0.54 49785.0 0.0363 0.0026 0.0027 0.0030 0.0036 0.0045
0.80 98.5 100 0.78 59742.0 0.0381 0.0062 0.0065 0.0074 0.0092 0.0117
1.00 88.1 90 0.96 66379.9 0.0393 0.0103 0.0108 0.0126 0.0159 0.0205
1.20 80.5
1.40 74.5 75 1.38 79655.9 0.0415 0.0246 0.0263 0.0318 0.0411 0.0539
1.60 69.7 70 1.59 85345.6 0.0425 0.0343 0.0369 0.0452 0.0590 0.0778
1.80 65.7
2.00 62.3 63 1.96 94828.5 0.0440 0.0568 0.0619 0.0775 0.1027 0.1365
______________________________________________________________________________________________
6.20 0.60 114.7 120 0.55 50601.1 0.0363 0.0027 0.0028 0.0031 0.0037 0.0046
0.80 99.3 100 0.79 60721.3 0.0381 0.0064 0.0067 0.0076 0.0095 0.0121
1.00 88.8 90 0.97 67468.1 0.0393 0.0106 0.0111 0.0130 0.0164 0.0211
1.20 81.1
1.40 75.1 80 1.23 75901.7 0.0407 0.0186 0.0197 0.0236 0.0303 0.0395
1.60 70.2 75 1.40 80961.8 0.0415 0.0253 0.0271 0.0328 0.0425 0.0557
1.80 66.2 70 1.61 86744.8 0.0425 0.0353 0.0380 0.0466 0.0610 0.0804
2.00 62.8 63 1.99 96383.1 0.0440 0.0585 0.0638 0.0800 0.1061 0.1410
______________________________________________________________________________________________
6.30 0.60 115.6 120 0.56 51417.3 0.0362 0.0027 0.0028 0.0032 0.0038 0.0048
0.80 100.1 110 0.66 56091.5 0.0371 0.0042 0.0043 0.0049 0.0060 0.0076
1.00 89.6 90 0.99 68556.3 0.0392 0.0109 0.0114 0.0134 0.0169 0.0218
1.20 81.8
1.40 75.7 80 1.25 77125.9 0.0407 0.0191 0.0203 0.0243 0.0313 0.0408
1.60 70.8 75 1.43 82267.6 0.0415 0.0261 0.0279 0.0338 0.0438 0.0574
1.80 66.8 70 1.64 88143.9 0.0425 0.0363 0.0391 0.0481 0.0629 0.0830
2.00 63.3
______________________________________________________________________________________________
6.40 0.60 116.5 120 0.57 52233.4 0.0362 0.0028 0.0029 0.0033 0.0039 0.0049
0.80 100.9 110 0.67 56981.9 0.0371 0.0043 0.0044 0.0050 0.0062 0.0078
1.00 90.3 100 0.81 62680.1 0.0380 0.0068 0.0071 0.0081 0.0101 0.0129
1.20 82.4 90 1.01 69644.5 0.0392 0.0112 0.0118 0.0138 0.0174 0.0225
1.40 76.3 80 1.27 78350.1 0.0407 0.0197 0.0209 0.0251 0.0322 0.0421
1.60 71.4 75 1.45 83573.4 0.0415 0.0268 0.0287 0.0348 0.0452 0.0593
1.80 67.3 70 1.66 89543.0 0.0425 0.0373 0.0403 0.0495 0.0649 0.0856
2.00 63.8
______________________________________________________________________________________________
6.50 0.60 117.4 120 0.57 53049.5 0.0362 0.0029 0.0030 0.0034 0.0041 0.0051
0.80 101.7 110 0.68 57872.2 0.0370 0.0044 0.0046 0.0052 0.0063 0.0080
1.00 91.0 100 0.83 63659.5 0.0380 0.0069 0.0073 0.0083 0.0104 0.0133
1.20 83.0 90 1.02 70732.7 0.0392 0.0115 0.0121 0.0142 0.0180 0.0232
1.40 76.9 80 1.29 79574.3 0.0407 0.0202 0.0215 0.0258 0.0332 0.0434
1.60 71.9 75 1.47 84879.3 0.0415 0.0276 0.0295 0.0359 0.0466 0.0611
1.80 67.8 70 1.69 90942.1 0.0425 0.0384 0.0415 0.0510 0.0669 0.0883
2.00 64.3
______________________________________________________________________________________________
6.60 0.60 118.3 120 0.58 53865.7 0.0362 0.0030 0.0031 0.0034 0.0042 0.0052
0.80 102.5 110 0.69 58762.6 0.0370 0.0045 0.0047 0.0053 0.0065 0.0083
1.00 91.7 100 0.84 64638.8 0.0380 0.0071 0.0075 0.0086 0.0107 0.0137
1.20 83.7 90 1.04 71820.9 0.0392 0.0118 0.0125 0.0146 0.0185 0.0239
1.40 77.5 80 1.31 80798.5 0.0407 0.0208 0.0221 0.0266 0.0343 0.0447
1.60 72.5 75 1.49 86185.1 0.0415 0.0283 0.0304 0.0369 0.0480 0.0630
1.80 68.3 70 1.71 92341.2 0.0424 0.0394 0.0426 0.0526 0.0690 0.0910
2.00 64.8
______________________________________________________________________________________________
6.70 0.60 119.2 120 0.59 54681.8 0.0362 0.0031 0.0032 0.0035 0.0043 0.0054
0.80 103.3 110 0.71 59652.9 0.0370 0.0046 0.0048 0.0055 0.0067 0.0085
1.00 92.4 100 0.85 65618.2 0.0380 0.0073 0.0077 0.0088 0.0110 0.0141
1.20 84.3 90 1.05 72909.1 0.0392 0.0121 0.0128 0.0151 0.0191 0.0246
1.40 78.1 80 1.33 82022.8 0.0406 0.0214 0.0228 0.0274 0.0353 0.0461
1.60 73.0 75 1.52 87490.9 0.0415 0.0291 0.0312 0.0380 0.0495 0.0649
1.80 68.8 70 1.74 93740.3 0.0424 0.0405 0.0438 0.0541 0.0710 0.0938
2.00 65.3
______________________________________________________________________________________________
6.80 0.60 120.1 125 0.55 53278.1 0.0358 0.0026 0.0027 0.0030 0.0036 0.0045
0.80 104.0 110 0.72 60543.3 0.0370 0.0048 0.0050 0.0056 0.0069 0.0088
1.00 93.0 100 0.87 66597.6 0.0380 0.0075 0.0079 0.0091 0.0114 0.0145
1.20 84.9 90 1.07 73997.3 0.0392 0.0125 0.0132 0.0155 0.0196 0.0254
1.40 78.6 80 1.35 83247.0 0.0406 0.0219 0.0234 0.0282 0.0363 0.0474
1.60 73.6 75 1.54 88796.8 0.0415 0.0299 0.0321 0.0391 0.0509 0.0669
1.80 69.4 70 1.77 95139.4 0.0424 0.0416 0.0451 0.0557 0.0731 0.0966
2.00 65.8
______________________________________________________________________________________________
6.90 0.60 121.0 125 0.56 54061.6 0.0357 0.0027 0.0027 0.0031 0.0037 0.0046
0.80 104.8 110 0.73 61433.6 0.0370 0.0049 0.0051 0.0058 0.0071 0.0090
1.00 93.7 100 0.88 67577.0 0.0380 0.0077 0.0081 0.0093 0.0117 0.0150
1.20 85.6 90 1.08 75085.5 0.0392 0.0128 0.0135 0.0159 0.0202 0.0261
1.40 79.2 80 1.37 84471.2 0.0406 0.0225 0.0240 0.0290 0.0374 0.0488
1.60 74.1 75 1.56 90102.6 0.0415 0.0307 0.0330 0.0402 0.0524 0.0688
1.80 69.9 70 1.79 96538.5 0.0424 0.0427 0.0463 0.0573 0.0753 0.0994
2.00 66.3
______________________________________________________________________________________________
7.00 0.60 121.9 125 0.57 54845.1 0.0357 0.0027 0.0028 0.0031 0.0038 0.0047
0.80 105.6 110 0.74 62323.9 0.0370 0.0050 0.0052 0.0059 0.0073 0.0093
1.00 94.4 100 0.89 68556.3 0.0380 0.0079 0.0083 0.0096 0.0120 0.0154
1.20 86.2 90 1.10 76173.7 0.0392 0.0131 0.0139 0.0164 0.0208 0.0269
1.40 79.8 80 1.39 85695.4 0.0406 0.0231 0.0247 0.0298 0.0385 0.0502
1.60 74.6 75 1.58 91408.5 0.0415 0.0315 0.0339 0.0414 0.0539 0.0708
1.80 70.4
2.00 66.8 70 1.82 97937.6 0.0424 0.0438 0.0475 0.0589 0.0774 0.1023
______________________________________________________________________________________________
7.10 0.60 122.7 125 0.58 55628.6 0.0357 0.0028 0.0029 0.0032 0.0039 0.0049
0.80 106.3 110 0.75 63214.3 0.0369 0.0052 0.0054 0.0061 0.0075 0.0096
1.00 95.1 100 0.90 69535.7 0.0379 0.0081 0.0085 0.0099 0.0124 0.0158
1.20 86.8 90 1.12 77261.9 0.0392 0.0135 0.0142 0.0168 0.0214 0.0276
1.40 80.4
1.60 75.2 80 1.41 86919.6 0.0406 0.0237 0.0253 0.0306 0.0395 0.0517
1.80 70.9 75 1.61 92714.3 0.0415 0.0323 0.0348 0.0425 0.0554 0.0728
2.00 67.2 70 1.84 99336.7 0.0424 0.0450 0.0488 0.0605 0.0796 0.1052
______________________________________________________________________________________________
7.20 0.60 123.6 125 0.59 56412.1 0.0357 0.0029 0.0030 0.0033 0.0040 0.0050
0.80 107.0 110 0.76 64104.6 0.0369 0.0053 0.0055 0.0063 0.0077 0.0098
1.00 95.7 100 0.92 70515.1 0.0379 0.0083 0.0087 0.0101 0.0127 0.0163
1.20 87.4 90 1.13 78350.1 0.0391 0.0138 0.0146 0.0173 0.0220 0.0284
1.40 80.9
1.60 75.7 80 1.43 88143.9 0.0406 0.0243 0.0260 0.0314 0.0406 0.0531
1.80 71.4 75 1.63 94020.1 0.0415 0.0331 0.0357 0.0437 0.0570 0.0749
2.00 67.7 70 1.87 100735.8 0.0424 0.0461 0.0501 0.0622 0.0819 0.1082
______________________________________________________________________________________________
7.30 0.60 124.5 125 0.59 57195.6 0.0357 0.0029 0.0030 0.0034 0.0041 0.0052
0.80 107.8 110 0.77 64995.0 0.0369 0.0054 0.0056 0.0064 0.0080 0.0101
1.00 96.4 100 0.93 71494.5 0.0379 0.0085 0.0090 0.0104 0.0130 0.0167
1.20 88.0 90 1.15 79438.3 0.0391 0.0142 0.0150 0.0177 0.0226 0.0292
1.40 81.5
1.60 76.2 80 1.45 89368.1 0.0406 0.0249 0.0267 0.0323 0.0418 0.0546
1.80 71.9 75 1.65 95326.0 0.0414 0.0339 0.0366 0.0449 0.0586 0.0770
2.00 68.2 70 1.90 102135.0 0.0424 0.0473 0.0514 0.0639 0.0841 0.1112
______________________________________________________________________________________________
7.40 0.60 125.3 130 0.56 55749.1 0.0353 0.0025 0.0026 0.0029 0.0035 0.0043
0.80 108.5 110 0.78 65885.3 0.0369 0.0055 0.0058 0.0066 0.0082 0.0104
1.00 97.1 100 0.94 72473.8 0.0379 0.0088 0.0092 0.0107 0.0134 0.0172
1.20 88.6 90 1.16 80526.5 0.0391 0.0145 0.0154 0.0182 0.0232 0.0300
1.40 82.0
1.60 76.7 80 1.47 90592.3 0.0406 0.0255 0.0273 0.0331 0.0429 0.0561
1.80 72.3 75 1.68 96631.8 0.0414 0.0348 0.0375 0.0460 0.0602 0.0791
2.00 68.6 70 1.92 103534.1 0.0424 0.0484 0.0527 0.0656 0.0864 0.1142
______________________________________________________________________________________________
7.50 0.60 126.2 130 0.57 56502.5 0.0353 0.0026 0.0026 0.0029 0.0035 0.0044
0.80 109.3 110 0.79 66775.7 0.0369 0.0057 0.0059 0.0068 0.0084 0.0107
1.00 97.7 100 0.95 73453.2 0.0379 0.0090 0.0094 0.0109 0.0137 0.0176
1.20 89.2 90 1.18 81614.7 0.0391 0.0149 0.0157 0.0187 0.0238 0.0308
1.40 82.6
1.60 77.3 80 1.49 91816.5 0.0406 0.0261 0.0280 0.0340 0.0440 0.0576
1.80 72.8 75 1.70 97937.6 0.0414 0.0356 0.0385 0.0473 0.0618 0.0812
2.00 69.1 70 1.95 104933.2 0.0424 0.0496 0.0540 0.0673 0.0887 0.1173
______________________________________________________________________________________________
7.60 0.60 127.0 130 0.57 57255.8 0.0353 0.0026 0.0027 0.0030 0.0036 0.0045
0.80 110.0 110 0.80 67666.0 0.0369 0.0058 0.0061 0.0069 0.0086 0.0109
1.00 98.4 100 0.97 74432.6 0.0379 0.0092 0.0096 0.0112 0.0141 0.0181
1.20 89.8 90 1.19 82702.9 0.0391 0.0152 0.0161 0.0191 0.0244 0.0316
1.40 83.1
1.60 77.8 80 1.51 93040.7 0.0406 0.0268 0.0287 0.0349 0.0452 0.0591
1.80 73.3 75 1.72 99243.5 0.0414 0.0365 0.0394 0.0485 0.0634 0.0834
2.00 69.6 70 1.97 106332.3 0.0424 0.0508 0.0554 0.0690 0.0911 0.1205
______________________________________________________________________________________________
7.70 0.60 127.8 130 0.58 58009.2 0.0353 0.0027 0.0028 0.0031 0.0037 0.0047
0.80 110.7 120 0.68 62843.3 0.0360 0.0039 0.0041 0.0046 0.0056 0.0071
1.00 99.0 100 0.98 75412.0 0.0379 0.0094 0.0099 0.0115 0.0145 0.0186
1.20 90.4
1.40 83.7 90 1.21 83791.1 0.0391 0.0156 0.0165 0.0196 0.0251 0.0325
1.60 78.3 80 1.53 94265.0 0.0406 0.0274 0.0294 0.0357 0.0464 0.0607
1.80 73.8 75 1.74 100549.3 0.0414 0.0374 0.0404 0.0497 0.0651 0.0856
2.00 70.0
______________________________________________________________________________________________
7.80 0.60 128.7 130 0.59 58762.6 0.0352 0.0027 0.0028 0.0032 0.0038 0.0048
0.80 111.4 120 0.69 63659.5 0.0360 0.0040 0.0042 0.0047 0.0058 0.0073
1.00 99.7 100 0.99 76391.3 0.0379 0.0096 0.0101 0.0118 0.0148 0.0191
1.20 91.0
1.40 84.2 90 1.23 84879.3 0.0391 0.0159 0.0169 0.0201 0.0257 0.0333
1.60 78.8 80 1.55 95489.2 0.0406 0.0280 0.0301 0.0366 0.0476 0.0623
1.80 74.3 75 1.77 101855.1 0.0414 0.0382 0.0414 0.0510 0.0667 0.0878
2.00 70.5
______________________________________________________________________________________________
7.90 0.60 129.5 130 0.60 59515.9 0.0352 0.0028 0.0029 0.0032 0.0039 0.0049
0.80 112.1 120 0.70 64475.6 0.0360 0.0041 0.0043 0.0048 0.0059 0.0075
1.00 100.3 110 0.83 70337.0 0.0368 0.0062 0.0065 0.0075 0.0093 0.0118
1.20 91.6 100 1.01 77370.7 0.0379 0.0098 0.0103 0.0121 0.0152 0.0195
1.40 84.8 90 1.24 85967.5 0.0391 0.0163 0.0173 0.0206 0.0263 0.0342
1.60 79.3 80 1.57 96713.4 0.0405 0.0287 0.0308 0.0376 0.0488 0.0639
1.80 74.8 75 1.79 103161.0 0.0414 0.0391 0.0423 0.0522 0.0684 0.0901
2.00 70.9
______________________________________________________________________________________________
8.00 0.60 130.3 140 0.52 55964.4 0.0346 0.0020 0.0021 0.0023 0.0027 0.0034
0.80 112.8 120 0.71 65291.8 0.0360 0.0042 0.0044 0.0049 0.0061 0.0077
1.00 100.9 110 0.84 71227.4 0.0368 0.0064 0.0067 0.0077 0.0095 0.0121
1.20 92.1 100 1.02 78350.1 0.0379 0.0101 0.0106 0.0124 0.0156 0.0200
1.40 85.3 90 1.26 87055.7 0.0391 0.0167 0.0177 0.0211 0.0270 0.0350
1.60 79.8 80 1.59 97937.6 0.0405 0.0293 0.0315 0.0385 0.0500 0.0655
1.80 75.2
2.00 71.4 75 1.81 104466.8 0.0414 0.0400 0.0433 0.0535 0.0702 0.0923
______________________________________________________________________________________________
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