CALCULO DE CAUDALES EN CADA TUBERA Mtodo de Hardy - Cross

Datos de diseo:CH= 100

1 Iteracin 2 Iteracin 3 IteracinCircuito Tramo L (Km) CH

C - 12 5 1.500000 14 '' 100 75.00000 3.971 0.053 -1.356 73.644 3.839 0.052 2.043 75.687 4.039 0.053 -0.214 75.4735 3 2.000000 6 '' 100 10.00000 7.889 0.789 -5.319 4.681 1.937 0.414 2.324 7.004 4.083 0.583 -1.740 5.2643 2 1.000000 6 '' 100 -15.00000 -8.352 0.557 -1.356 -16.356 -9.802 0.599 2.043 -14.313 -7.658 0.535 -0.214 -14.527

3.509 1.399 -8.031 -4.026 1.065 6.409 0.464 1.171 -2.168

C - 23 5 2.000000 6 '' 100 -10.00000 -7.889 0.789 5.319 -4.681 -1.937 0.414 -2.324 -7.004 -4.083 0.583 1.740 -5.2645 4 1.000000 12 '' 100 35.00000 1.369 0.039 3.963 38.963 1.670 0.043 -0.281 38.682 1.648 0.043 1.526 40.2094 3 2.000000 10 '' 100 5.00000 0.182 0.036 3.963 8.963 0.535 0.060 -0.281 8.682 0.505 0.058 1.526 10.209

-6.338 0.864 13.246 0.268 0.516 -2.886 -1.930 0.684 4.793

(pulg) Q0 hf0 hf0 / Q0 Q1 Q1 hf0 hf0 / Q0 Q1 Q1 hf0 hf0 / Q0 Q1 Q1

1,85

1,85 4,87

7105,813f

L QhCH D

0

00

1,85

hfQhfQ

4 Iteracin 5 Iteracin 6 Iteracin 7 IteracinCG

4.018 0.053 0.743 76.216 4.091 0.054 -0.031 76.185 4.088 0.054 0.273 76.458 4.115 0.054 -0.004 76.454 4.115 2278.0702.407 0.457 0.785 6.049 3.113 0.515 -0.610 5.439 2.557 0.470 0.279 5.718 2.805 0.491 -0.221 5.496 2.607 2270.640-7.871 0.542 0.743 -13.784 -7.143 0.518 -0.031 -13.815 -7.172 0.519 0.273 -13.542 -6.912 0.510 -0.004 -13.546 6.916 2268.360-1.447 1.052 2.271 0.061 1.086 -0.671 -0.527 1.043 0.825 0.008 1.055 -0.229 -2.407 0.457 -0.785 -6.049 -3.113 0.515 0.610 -5.439 -2.557 0.470 -0.279 -5.718 -2.805 0.491 0.221 -5.496 2.607 2270.6401.770 0.044 -0.042 40.167 1.767 0.044 0.580 40.746 1.814 0.045 -0.006 40.741 1.814 0.045 0.217 40.958 1.832 2265.9700.681 0.067 -0.042 10.167 0.676 0.066 0.580 10.746 0.749 0.070 -0.006 10.741 0.748 0.070 0.217 10.958 0.776 2267.8000.044 0.568 -0.869 -0.670 0.625 1.770 0.006 0.584 -0.290 -0.243 0.605 0.655

hf0 hf0 / Q0 Q1 Q1 hf0 hf0 / Q0 Q1 Q1 hf0 hf0 / Q0 Q1 Q1 hf0 hf0 / Q0 Q1 Q1 hfreal

0.03588 i f0.01247 1 2278.07 2270.640.01061 2 2270.64 2265.970.02472 3 2268.36 2265.340.04453 4 2278.07 2268.360.02483 5 2268.36 2267.680.02938 6 2267.68 2257.180.03411 7 2265.34 2257.180.01313 8 2257.18 2258.450.04171 9 2265.97 2258.45

0.0683 10 2265.34 2265.9752.53 11 2265.97 2266.5963.29 12 2267.8 2266.5967.39 13 2270.64 2267.8

14 2267.8 2266.7217.85 15 2267 2266.7242.48 16 2266.59 226735.23 17 2266.59 2263.3618.85 18 2258.45 2263.36

30.4 19 2263.36 2264.6629.15 20 2264.66 226716.37 21 2267 2264.0326.17 22 2264.03 2264.5848.91 23 2266.72 2264.5860.65 24 2264.58 2262.8663.52 25 2260.59 2262.8665.93 26 2264.03 2260.5963.13 27 2261.66 2264.0367.51 28 2264.66 2261.6660.99 29 2261.66 226260.02 30 2262 2260.5955.57 31 2260.59 2255.3660.91 32 2262.86 2262.363.41 33 2255.36 2262.359.29 34 2255.36 225423.93 35 2254.35 2255.36

42.8 36 2256 225447.96 37 2254.35 225639.7553.1921.7929.2571.5138.1560.7253.17

61.4550.1657.7948.8972.2954.6858.5756.4964.7557.4738.6877.8189.0388.4341.9354.4379.47

CALCULO DE CAUDALES EN CADA TUBERA Mtodo de Hardy - Cross

Datos de diseo:CH= 140

1 Iteracin 2 Iteracin 3 IteracinCircuito # T L (Km) CH

C - 1

1 1 0.124190 6 '' 140 39.14500 3.282 0.084 -0.024 39.121 3.279 0.084 -0.290 38.831 3.234 0.083 -0.413 38.4192 2 0.057870 4 '' 140 16.78000 2.299 0.137 -3.435 13.345 1.505 0.113 0.024 13.369 1.510 0.113 -0.665 12.7043 10 0.084600 4 '' 140 -16.78000 -3.361 0.200 2.594 -14.186 -2.464 0.174 0.183 -14.003 -2.405 0.172 0.110 -13.8944 9 0.066370 6 '' 140 -39.14500 -1.754 0.045 -0.024 -39.169 -1.756 0.045 -0.290 -39.459 -1.780 0.045 -0.413 -39.8715 8 0.040210 4 '' 140 -8.39000 -0.443 0.053 1.387 -7.003 -0.317 0.045 1.339 -5.664 -0.214 0.038 -0.679 -6.343

0.023 0.519 0.247 0.460 0.344 0.451

C - 2

1 2 0.057870 4 '' 140 -16.78000 -2.299 0.137 3.435 -13.345 -1.505 0.113 -0.024 -13.369 -1.510 0.113 0.665 -12.7042 3 0.069230 4 '' 140 -12.58500 -1.615 0.128 5.024 -7.561 -0.629 0.083 -1.637 -9.198 -0.904 0.098 0.694 -8.5043 11 0.058310 4 '' 140 9.58500 0.822 0.086 3.411 12.996 1.444 0.111 -0.314 12.682 1.380 0.109 0.253 12.9354 10 0.072840 6 '' 140 22.36500 0.684 0.031 3.411 25.776 0.889 0.034 -0.314 25.462 0.869 0.034 0.253 25.715

-2.409 0.382 0.198 0.342 -0.166 0.354

C - 3

1 3 0.058310 4 '' 140 -9.58500 -0.822 0.086 1.616 -7.969 -0.584 0.073 3.329 -4.641 -0.215 0.046 0.801 -3.8392 4 0.056290 6 '' 140 12.78000 0.188 0.015 5.027 17.807 0.346 0.019 3.015 20.822 0.463 0.022 1.054 21.8753 12 0.056870 4 '' 140 -10.66750 -0.977 0.092 4.905 -5.763 -0.313 0.054 2.352 -3.410 -0.119 0.035 0.618 -2.7924 11 0.058640 4 '' 140 -11.08500 -1.082 0.098 2.180 -8.905 -0.722 0.081 1.932 -6.974 -0.459 0.066 -0.592 -7.566

-2.694 0.290 -1.272 0.228 -0.330 0.169

C - 4

1 4 0.056870 4 '' 140 10.66750 0.977 0.092 -4.905 5.763 0.313 0.054 -2.352 3.410 0.119 0.035 -0.618 2.7922 5 0.064860 4 '' 140 -10.66750 -1.115 0.104 3.161 -7.507 -0.582 0.078 0.784 -6.723 -0.474 0.071 0.331 -6.3923 13 0.057420 4 '' 140 -8.26375 -0.615 0.074 -0.720 -8.983 -0.718 0.080 1.301 -7.683 -0.538 0.070 0.617 -7.0664 12 0.066890 6 '' 140 23.44750 0.685 0.029 0.122 23.569 0.692 0.029 0.663 24.232 0.728 0.030 0.436 24.668

-0.068 0.300 -0.295 0.241 -0.166 0.205

C - 5

1 5 0.057420 4 '' 140 8.26375 0.615 0.074 0.720 8.983 0.718 0.080 -1.301 7.683 0.538 0.070 -0.617 7.0662 6 0.059780 6 '' 140 2.23125 0.008 0.004 0.841 3.073 0.014 0.005 -0.638 2.435 0.009 0.004 -0.181 2.2533 14 0.057690 4 '' 140 -5.80688 -0.322 0.055 0.613 -5.194 -0.262 0.050 -0.313 -5.507 -0.292 0.053 0.323 -5.1854 13 0.058530 4 '' 140 -8.26375 -0.627 0.076 3.213 -5.051 -0.252 0.050 0.624 -4.426 -0.198 0.045 0.254 -4.173

-0.326 0.209 0.218 0.185 0.058 0.171

C - 6

1 6 0.057690 4 '' 140 5.80688 0.322 0.055 -0.613 5.194 0.262 0.050 0.313 5.507 0.292 0.053 -0.323 5.1852 7 0.058590 4 '' 140 -5.80688 -0.327 0.056 1.973 -3.833 -0.152 0.040 0.304 -3.530 -0.130 0.037 0.296 -3.2333 14 0.057890 6 '' 140 8.03813 0.082 0.010 0.229 8.267 0.086 0.010 -0.325 7.942 0.080 0.010 -0.504 7.4384 15 0.060190 6 '' 140 -10.27188 -0.134 0.013 0.229 -10.043 -0.128 0.013 -0.325 -10.368 -0.136 0.013 -0.504 -10.872

-0.057 0.135 0.068 0.113 0.105 0.113

C - 7

1 15 0.084600 4 '' 140 16.78000 3.361 0.200 -2.594 14.186 2.464 0.174 -0.183 14.003 2.405 0.172 -0.110 13.8942 16 0.109660 6 '' 140 -22.36500 -1.029 0.046 -2.618 -24.983 -1.263 0.051 -0.472 -25.455 -1.307 0.051 -0.523 -25.9783 24 0.131210 6 '' 140 -22.36500 -1.231 0.055 -2.618 -24.983 -1.511 0.060 -0.472 -25.455 -1.564 0.061 -0.523 -25.9784 25 0.076990 4 '' 140 8.39000 0.848 0.101 -1.207 7.183 0.637 0.089 1.156 8.339 0.839 0.101 -0.789 7.550

1.949 0.402 0.326 0.373 0.372 0.385

C - 8

1 14 0.076990 4 '' 140 -8.39000 -0.848 0.101 1.207 -7.183 -0.637 0.089 -1.156 -8.339 -0.839 0.101 0.789 -7.5502 15 0.087300 6 '' 140 -12.51500 -0.280 0.022 -1.411 -13.926 -0.341 0.024 -1.628 -15.555 -0.418 0.027 0.266 -15.2883 23 0.061940 4 '' 140 12.58500 1.445 0.115 0.201 12.786 1.488 0.116 -2.951 9.835 0.916 0.093 0.708 10.5434 24 0.040210 4 '' 140 8.39000 0.443 0.053 -1.387 7.003 0.317 0.045 -1.339 5.664 0.214 0.038 0.679 6.343

0.760 0.291 0.828 0.275 -0.127 0.258

C - 9

1 13 0.061940 4 '' 140 -12.58500 -1.445 0.115 -0.201 -12.786 -1.488 0.116 2.951 -9.835 -0.916 0.093 -0.708 -10.5432 14 0.069230 4 '' 140 12.58500 1.615 0.128 -5.024 7.561 0.629 0.083 1.637 9.198 0.904 0.098 -0.694 8.5043 22 0.061160 4 '' 140 11.08500 1.128 0.102 -4.460 6.625 0.435 0.066 0.240 6.865 0.465 0.068 -2.087 4.7784 23 0.065040 6 '' 140 -12.84000 -0.219 0.017 -1.612 -14.452 -0.272 0.019 1.323 -13.130 -0.228 0.017 -0.441 -13.571

1.080 0.362 -0.696 0.284 0.226 0.277

C - 10

1 12 0.058640 4 '' 140 11.08500 1.082 0.098 -2.180 8.905 0.722 0.081 -1.932 6.974 0.459 0.066 0.592 7.5662 13 0.061160 4 '' 140 -11.08500 -1.128 0.102 4.460 -6.625 -0.435 0.066 -0.240 -6.865 -0.465 0.068 2.087 -4.7783 22 0.061330 6 '' 140 -23.92500 -0.652 0.027 2.847 -21.078 -0.516 0.024 1.083 -19.995 -0.468 0.023 1.646 -18.3494 21 0.063840 4 '' 140 -10.25000 -1.019 0.099 5.886 -4.364 -0.210 0.048 1.205 -3.159 -0.116 0.037 1.541 -1.619

-1.717 0.326 -0.440 0.219 -0.589 0.194

C - 11

1 11 0.063840 4 '' 140 10.25000 1.019 0.099 -5.886 4.364 0.210 0.048 -1.205 3.159 0.116 0.037 -1.541 1.6192 12 0.064860 4 '' 140 10.66750 1.115 0.104 -3.161 7.507 0.582 0.078 -0.784 6.723 0.474 0.071 -0.331 6.3923 21 0.059930 4 '' 140 -5.86000 -0.340 0.058 -0.667 -6.527 -0.415 0.064 1.141 -5.386 -0.291 0.054 0.540 -4.8464 20 0.060250 6 '' 140 -13.67500 -0.228 0.017 -3.039 -16.714 -0.330 0.020 -0.121 -16.835 -0.334 0.020 0.105 -16.730

1.566 0.279 0.047 0.209 -0.035 0.181

C - 12

1 10 0.058530 4 '' 140 8.26375 0.627 0.076 -3.213 5.051 0.252 0.050 -0.624 4.426 0.198 0.045 -0.254 4.1732 11 0.059930 4 '' 140 5.86000 0.340 0.058 0.667 6.527 0.415 0.064 -1.141 5.386 0.291 0.054 -0.540 4.8463 20 0.061310 6 '' 140 -7.81500 -0.082 0.011 -2.372 -10.187 -0.134 0.013 -1.262 -11.449 -0.167 0.015 -0.435 -11.8844 19 0.053940 4 '' 140 -3.35000 -0.109 0.032 -0.627 -3.977 -0.149 0.038 -0.634 -4.611 -0.196 0.043 0.365 -4.245

0.776 0.177 0.384 0.164 0.125 0.156

C - 13

1 9 0.053940 4 '' 140 3.35000 0.109 0.032 0.627 3.977 0.149 0.038 0.634 4.611 0.196 0.043 -0.365 4.2452 10 0.058590 4 '' 140 5.80688 0.327 0.056 -1.973 3.833 0.152 0.040 -0.304 3.530 0.130 0.037 -0.296 3.2333 19 0.052320 4 '' 140 -1.91000 -0.037 0.020 -1.547 -3.457 -0.112 0.032 0.388 -3.069 -0.090 0.029 -0.360 -3.4294 18 0.059470 6 '' 140 -4.46500 -0.028 0.006 -1.745 -6.210 -0.052 0.008 -0.628 -6.838 -0.062 0.009 -0.801 -7.639

0.370 0.115 0.137 0.118 0.174 0.118

C - 14

1 8 0.048860 6 '' 140 -2.55500 -0.008 0.003 -0.198 -2.753 -0.010 0.003 -1.017 -3.769 -0.017 0.005 -0.440 -4.2092 9 0.052320 4 '' 140 1.91000 0.037 0.020 1.547 3.457 0.112 0.032 -0.388 3.069 0.090 0.029 0.360 3.4293 18 0.055760 6 '' 140 -2.55500 -0.009 0.004 -0.198 -2.753 -0.011 0.004 -1.017 -3.769 -0.019 0.005 -0.440 -4.209

(pulg) Q0 hf0 hf0 / Q0 Q1 Q1 hf0 hf1 / Q1 Q2 Q2 hf2 hf2 / Q2 Q3 Q3

1,85

1,85 4,87

7105,813f

L QhCH D

0

00

1,85

hfQhfQ

C - 14

4 17 0.051050 6 '' 140 -2.55500 -0.009 0.003 -0.198 -2.753 -0.010 0.004 -1.017 -3.769 -0.018 0.005 -0.440 -4.209 0.011 0.030 0.082 0.043 0.036 0.044

4 Iteracin 5 Iteracin 6 Iteracin 7 IteracinCG

3.171 0.083 -0.115 38.304 3.153 0.082 -0.147 38.157 3.131 0.082 -0.018 38.139 3.128 0.082 -0.047 38.092 3.121 2278.0701.374 0.108 0.136 12.839 1.401 0.109 -0.263 12.576 1.348 0.107 0.072 12.648 1.363 0.108 -0.099 12.548 1.343 2270.640-2.370 0.171 0.009 -13.884 -2.367 0.171 0.008 -13.876 -2.365 0.170 0.014 -13.862 -2.360 0.170 -0.005 -13.867 2.362 2268.360-1.815 0.046 -0.115 -39.986 -1.825 0.046 -0.147 -40.133 -1.837 0.046 -0.018 -40.151 -1.839 0.046 -0.047 -40.198 1.843 2278.070-0.264 0.042 0.307 -6.036 -0.241 0.040 -0.284 -6.320 -0.262 0.042 0.120 -6.200 -0.253 0.041 -0.107 -6.306 0.261 2265.3400.095 0.448 0.121 0.448 0.015 0.447 0.039 0.447-1.374 0.108 -0.136 -12.839 -1.401 0.109 0.263 -12.576 -1.348 0.107 -0.072 -12.648 -1.363 0.108 0.099 -12.548 1.343 2270.640-0.782 0.092 -0.802 -9.306 -0.924 0.099 0.276 -9.030 -0.874 0.097 -0.296 -9.327 -0.928 0.099 0.122 -9.204 0.905 2265.9701.431 0.111 -0.251 12.684 1.380 0.109 0.117 12.801 1.404 0.110 -0.090 12.711 1.386 0.109 0.053 12.764 1.396 2267.8000.885 0.034 -0.251 25.464 0.869 0.034 0.117 25.581 0.876 0.034 -0.090 25.491 0.871 0.034 0.053 25.544 0.874 2270.6400.160 0.345 -0.076 0.351 0.058 0.348 -0.034 0.350-0.151 0.039 1.115 -2.724 -0.080 0.029 0.127 -2.597 -0.073 0.028 0.430 -2.167 -0.053 0.024 -0.011 -2.177 0.053 2267.8000.507 0.023 0.865 22.740 0.545 0.024 0.244 22.984 0.556 0.024 0.340 23.324 0.571 0.024 0.042 23.366 0.573 2267.800-0.082 0.029 0.701 -2.091 -0.048 0.023 0.023 -2.068 -0.047 0.023 0.324 -1.744 -0.034 0.020 -0.067 -1.811 0.037 2267.000-0.534 0.071 0.411 -7.155 -0.481 0.067 -0.357 -7.511 -0.527 0.070 0.250 -7.262 -0.495 0.068 -0.195 -7.456 0.519 2266.590-0.260 0.162 -0.065 0.144 -0.091 0.145 -0.011 0.1360.082 0.029 -0.701 2.091 0.048 0.023 -0.023 2.068 0.047 0.023 -0.324 1.744 0.034 0.020 0.067 1.811 0.037 2267.000-0.432 0.068 -0.193 -6.585 -0.457 0.069 0.159 -6.426 -0.436 0.068 -0.148 -6.574 -0.455 0.069 0.124 -6.451 0.440 2267.000-0.460 0.065 0.266 -6.800 -0.429 0.063 0.339 -6.461 -0.390 0.060 -0.001 -6.463 -0.390 0.060 0.183 -6.280 0.370 2264.0300.752 0.031 0.164 24.832 0.762 0.031 0.221 25.052 0.774 0.031 0.016 25.069 0.775 0.031 0.109 25.177 0.781 2266.720-0.058 0.193 -0.076 0.186 -0.005 0.182 -0.036 0.1800.460 0.065 -0.266 6.800 0.429 0.063 -0.339 6.461 0.390 0.060 0.001 6.463 0.390 0.060 -0.183 6.280 0.370 2264.0300.008 0.004 -0.102 2.152 0.007 0.003 -0.118 2.034 0.007 0.003 0.017 2.051 0.007 0.003 -0.074 1.977 0.006 2264.580-0.261 0.050 0.262 -4.923 -0.237 0.048 0.074 -4.849 -0.231 0.048 0.182 -4.667 -0.215 0.046 -0.032 -4.699 0.218 2260.590-0.177 0.042 0.154 -4.019 -0.165 0.041 -0.079 -4.098 -0.171 0.042 0.126 -3.972 -0.162 0.041 -0.089 -4.061 0.168 2264.0300.030 0.162 0.034 0.156 -0.005 0.153 0.021 0.1500.261 0.050 -0.262 4.923 0.237 0.048 -0.074 4.849 0.231 0.048 -0.182 4.667 0.215 0.046 0.032 4.699 0.218 2260.590-0.111 0.034 0.068 -3.166 -0.106 0.034 0.145 -3.021 -0.098 0.032 -0.011 -3.032 -0.098 0.032 0.102 -2.930 0.092 2260.5900.071 0.010 -0.363 7.074 0.065 0.009 -0.192 6.883 0.061 0.009 -0.164 6.718 0.059 0.009 -0.042 6.676 0.058 2262.860-0.149 0.014 -0.363 -11.236 -0.158 0.014 -0.192 -11.427 -0.163 0.014 -0.164 -11.592 -0.167 0.014 -0.042 -11.634 0.169 2255.3600.072 0.108 0.037 0.105 0.031 0.103 0.008 0.1022.370 0.171 -0.009 13.884 2.367 0.171 -0.008 13.876 2.365 0.170 -0.014 13.862 2.360 0.170 0.005 13.867 2.362 2268.360-1.357 0.052 -0.124 -26.102 -1.369 0.052 -0.155 -26.257 -1.385 0.053 -0.032 -26.289 -1.388 0.053 -0.042 -26.331 1.392 2268.360-1.624 0.063 -0.124 -26.102 -1.639 0.063 -0.155 -26.257 -1.657 0.063 -0.032 -26.289 -1.660 0.063 -0.042 -26.331 1.665 2267.6800.698 0.092 0.298 7.848 0.750 0.096 -0.292 7.556 0.699 0.093 0.106 7.662 0.717 0.094 -0.102 7.560 0.700 2265.3400.087 0.378 0.109 0.381 0.023 0.379 0.030 0.380-0.698 0.092 -0.298 -7.848 -0.750 0.096 0.292 -7.556 -0.699 0.093 -0.106 -7.662 -0.717 0.094 0.102 -7.560 0.700 2265.340-0.405 0.027 -0.421 -15.710 -0.426 0.027 0.137 -15.573 -0.419 0.027 -0.139 -15.711 -0.426 0.027 0.060 -15.651 0.423 2257.1801.041 0.099 -0.973 9.570 0.871 0.091 0.296 9.866 0.921 0.093 -0.345 9.521 0.862 0.091 0.130 9.651 0.884 2265.9700.264 0.042 -0.307 6.036 0.241 0.040 0.284 6.320 0.262 0.042 -0.120 6.200 0.253 0.041 0.107 6.306 0.261 2265.3400.202 0.259 -0.064 0.254 0.065 0.254 -0.028 0.252-1.041 0.099 0.973 -9.570 -0.871 0.091 -0.296 -9.866 -0.921 0.093 0.345 -9.521 -0.862 0.091 -0.130 -9.651 0.884 2265.9700.782 0.092 0.802 9.306 0.924 0.099 -0.276 9.030 0.874 0.097 0.296 9.327 0.928 0.099 -0.122 9.204 0.905 2265.9700.238 0.050 0.098 4.875 0.247 0.051 -0.760 4.116 0.180 0.044 0.116 4.232 0.190 0.045 -0.306 3.925 0.165 2266.590-0.242 0.018 0.551 -13.019 -0.224 0.017 -0.159 -13.179 -0.229 0.017 0.207 -12.972 -0.223 0.017 -0.070 -13.042 0.225 2258.450-0.264 0.258 0.076 0.258 -0.096 0.251 0.033 0.2520.534 0.071 -0.411 7.155 0.481 0.067 0.357 7.511 0.527 0.070 -0.250 7.262 0.495 0.068 0.195 7.456 0.519 2266.590-0.238 0.050 -0.098 -4.875 -0.247 0.051 0.760 -4.116 -0.180 0.044 -0.116 -4.232 -0.190 0.045 0.306 -3.925 0.165 2266.590-0.399 0.022 0.454 -17.895 -0.381 0.021 0.600 -17.294 -0.358 0.021 0.090 -17.204 -0.354 0.021 0.236 -16.968 0.345 2263.360-0.034 0.021 0.097 -1.522 -0.030 0.020 0.539 -0.983 -0.013 0.014 -0.074 -1.057 -0.015 0.014 0.251 -0.806 0.009 2264.660-0.137 0.163 -0.176 0.159 -0.025 0.148 -0.065 0.1480.034 0.021 -0.097 1.522 0.030 0.020 -0.539 0.983 0.013 0.014 0.074 1.057 0.015 0.014 -0.251 0.806 0.009 2264.6600.432 0.068 0.193 6.585 0.457 0.069 -0.159 6.426 0.436 0.068 0.148 6.574 0.455 0.069 -0.124 6.451 0.440 2267.000-0.239 0.049 0.612 -4.234 -0.186 0.044 0.100 -4.133 -0.178 0.043 0.273 -3.860 -0.157 0.041 -0.030 -3.890 0.159 2261.660-0.330 0.020 0.357 -16.373 -0.318 0.019 0.061 -16.312 -0.315 0.019 0.165 -16.147 -0.309 0.019 -0.015 -16.162 0.310 2264.660-0.104 0.157 -0.017 0.152 -0.044 0.144 0.004 0.1440.177 0.042 -0.154 4.019 0.165 0.041 0.079 4.098 0.171 0.042 -0.126 3.972 0.162 0.041 0.089 4.061 0.168 2264.0300.239 0.049 -0.612 4.234 0.186 0.044 -0.100 4.133 0.178 0.043 -0.273 3.860 0.157 0.041 0.030 3.890 0.159 2261.660-0.179 0.015 -0.255 -12.139 -0.186 0.015 -0.039 -12.178 -0.187 0.015 -0.108 -12.287 -0.190 0.015 0.015 -12.272 0.190 2261.660-0.169 0.040 0.176 -4.070 -0.156 0.038 0.298 -3.771 -0.135 0.036 0.045 -3.727 -0.132 0.036 0.159 -3.568 0.122 2262.0000.069 0.147 0.010 0.139 0.027 0.136 -0.004 0.1320.169 0.040 -0.176 4.070 0.156 0.038 -0.298 3.771 0.135 0.036 -0.045 3.727 0.132 0.036 -0.159 3.568 0.122 2262.0000.111 0.034 -0.068 3.166 0.106 0.034 -0.145 3.021 0.098 0.032 0.011 3.032 0.098 0.032 -0.102 2.930 0.092 2260.590-0.110 0.032 0.062 -3.368 -0.107 0.032 -0.062 -3.429 -0.110 0.032 0.057 -3.373 -0.107 0.032 -0.048 -3.420 0.110 2254.350-0.076 0.010 -0.431 -8.070 -0.085 0.010 -0.337 -8.407 -0.091 0.011 -0.153 -8.560 -0.094 0.011 -0.144 -8.704 0.097 2262.0000.093 0.116 0.071 0.114 0.031 0.111 0.029 0.111-0.021 0.005 -0.493 -4.702 -0.026 0.005 -0.275 -4.977 -0.028 0.006 -0.210 -5.187 -0.031 0.006 -0.096 -5.283 0.032 2255.3600.110 0.032 -0.062 3.368 0.107 0.032 0.062 3.429 0.110 0.032 -0.057 3.373 0.107 0.032 0.048 3.420 0.110 2254.350-0.024 0.006 -0.493 -4.702 -0.029 0.006 -0.275 -4.977 -0.032 0.007 -0.210 -5.187 -0.035 0.007 -0.096 -5.283 0.036 2256.000

hf3 hf3 / Q3 Q4 Q4 hf4 hf4 / Q4 Q5 Q5 hf5 hf5 / Q5 Q6 Q6 hf6 hf6 / Q6 Q7 Q7 hfreal

-0.022 0.005 -0.493 -4.702 -0.027 0.006 -0.275 -4.977 -0.030 0.006 -0.210 -5.187 -0.032 0.006 -0.096 -5.283 0.033 2254.3500.044 0.048 0.025 0.049 0.020 0.050 0.009 0.051

Ejercicio de claseHoja1Hoja3