Concreto

en x | en y | | | | | | | |
Q | 4 | Q | 4 | | | | | | | |
C | 1.29 | C | 1.29 | | | | | | | |
| | suma | | | | | | | |
| | | | | | | | | | |
| | | | | | | | | | |
direccion x |
sumas | 1050 | 23 |   | 14939 |   |   | yi | Pi*yi |   |   |
nivel | Wi (ton) | h (m) | hi (m) | Wi*hi | pix | vix(ton) | centroide(m) | pi*centroide |suma(pi*yi) | yui(m) |
5 | 210 | 4.6 | 22.9 | 4813 | 109.1 | 109.1 | 5 | 545.49 | 545.5 | 5 |
4 | 210 | 3.6 | 18.3 | 3847 | 87.2 | 196.3 | 4.8 | 418.57 | 964.1 | 4.911 |
3 | 210 | 4.6 | 14.7 | 3091 | 70.07 | 266.4 | 4.6 | 322.31 | 1286 | 4.829 |
2 | 210 | 5.1 | 10.1 | 2125 | 48.17 | 314.5 | 4.4 | 211.95 | 1498 | 4.764 |
1 | 210 | 5.1 | 5.06 | 1063 | 24.09 | 338.6 | 4.2 | 101.16 | 1599 |4.723 |

direccion y |
sumas | 1050 | 22.9 |   | 14939 |   |   | yi | Pi*yi |   |   |
nivel | Wi (ton) | h (m) | hi (m) | Wi*hi | pix | vix(ton) | centroide(m) | pi*centroide | suma(pi*yi) | yui(m) |
5 | 210 | 4.6 | 22.92 | 4813 | 109 | 109.098749 | 10.5 | 1145.537 | 1145.5 | 10.5 |
4 | 210 | 3.6 | 18.32 | 3847 | 87.2 | 196.301588 | 10.3 | 898.1892 | 2043.7 | 10.411 |
3 | 210 | 4.6 |14.72 | 3091 | 70.1 | 266.368499 | 10.1 | 707.6758 | 2751.4 | 10.329 |
2 | 210 | 5.06 | 10.12 | 2125 | 48.2 | 314.5395 | 9.9 | 476.8929 | 3228.3 | 10.264 |
1 | 210 | 5.06 | 5.06 | 1063 | 24.1 | 338.625 | 9.7 | 233.6294 | 3461.9 | 10.223 |

dereccion x |
T= | 3.8846 | | | | | | | |
| | | | | | | | |
| | | | | | | | |
  | suma |   |   |   |   |   | 17897158 |47729 |
nivel | Wi (ton) | pi(ton) | vi(ton) | ki(ton/cm) | vi/ki | di(cm) | Wi*di | pi*di |
5 | 210 | 109.1 | 109.1 | 3.18 | 34.3 | 180.92 | 6873763 | 19738 |
4 | 210 | 87.203 | 196.3 | 7.17 | 27.4 | 146.61 | 4514007 | 12785 |
3 | 210 | 70.067 | 266.37 | 16.26 | 16.4 | 119.23 | 2985540 | 8354.4 |
2 | 210 | 48.171 | 314.54 | 13.05 | 24.1 | 102.85 | 2221520 | 4954.5 |
1 | 210 | 24.086 |338.63 | 4.3 | 78.8 | 78.75 | 1302328 | 1896.7 |

direccion y |
T= | 4.55913 | | | | | | | |
| | | | | | | | |
| | | | | | | | |
  | suma |   |   |   |   |   | 33784614 | 65410.26 |
nivel | Wi (ton) | pi(ton) | vi(ton) | ki(ton/cm) | vi/ki | di(cm) | Wi*di | pi*di |
5 | 210 | 109.1 | 109.1 | 2.4 | 45.5 | 244.7 | 12574509 | 26696.58 |
4 | 210 | 87.203 |196.3 | 6 | 32.7 | 199.24 | 8336553.8 | 17374.58 |
3 | 210 | 70.067 | 266.4 | 12 | 22.2 | 166.53 | 5823513.5 | 11667.99 |
2 | 210 | 48.171 | 314.5 | 10 | 31.5 | 144.33 | 4374477.6 | 6952.47 |
1 | 210 | 24.086 | 338.6 | 3 | 113 | 112.88 | 2675560.8 | 2718.651 |

No de ejes | 3 | | | | | | | |
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direccion x |
| | | | | || | |
| | | Yt= | 5 | | | | |
| | | | | | | | | Rt=suma(kjx*yjt^2)+suma(kjy*xjt^2) | 1134.704 |
| | | | | | | | |
  | 13 |   | 65 |   |   | 250 | 1 | 0 |
eje | kjx | yi | kjx*yj | yit | kjx*yjt | kjx*yjt^2 | cd | ct |
| | | | | | | | |
1 | 5 | 0 | 0 | -5 | -25 | 125 | 0.38 | -0.022 |
2 | 3 | 5 | 15 | 0 | 0 | 0 | 0.23 | 0 |
3 | 5 | 10 | 50 |5 | 25 | 125 | 0.38 | 0.022 |

No de ejes | 3 | | | | | | | |
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direccion y |
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| | | xt= | 10 | | | | |
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  | 10 |   | 102.4 |   |   | 884.704 | 1 | -0 |
eje | kjy | xi | kjy*xj | xit | kjy*xjt | kjy*xjt^2 | cd | ct |
1 | 4 | 0 | 0 |-10 | -40.96 | 419.4304 | 0.4 | -0 |
2 | 2 | 9.2 | 18.4 | -1 | -2.08 | 2.1632 | 0.2 | -0 |
3 | 4 | 21 | 84 | 11 | 43.04 | 463.1104 | 0.4 | 0 |

direccion x |
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