Planilla de calculo de P.L. y compensacion de CoordenadasTeodolito Repetidor, con angulo vertical Cenital

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PLANILLA DE LA POLIGONAL

Angulo Horizontal [°] Angulo Vertical Cenital [°]

N.M. P1 P2319 ˚ 30 " 0 " -3 ˚ 20 " 0 "279 ˚ 0 " 0 " -3 ˚ 20 " 0 "

P1 P2 P390 ˚ 20 " 0 " -1 ˚ 15 " 0 "

180 ˚ 39 " 0 " -1 ˚ 15 " 0 "

P2 P3 P4103 ˚ 0 " 0 " 0 ˚ 30 " 0 "206 ˚ 0 " 0 " 0 ˚ 30 " 0 "

P3 P4 P577 ˚ 35 " 0 " -3 ˚ 10 " 0 "

155 ˚ 12 " 0 " -3 ˚ 8 " 0 "

P4 P5 P689 ˚ 0 " 0 " -3 ˚ 20 " 0 "

178 ˚ 0 " 0 " -3 ˚ 20 " 0 "

P5 P6 P10 ˚ 0 " 0 " 0 ˚ 0 " 0 "0 ˚ 0 " 0 " 0 ˚ 0 " 0 "

P6 P1 P20 ˚ 0 " 0 " 0 ˚ 0 " 0 "0 ˚ 0 " 0 " 0 ˚ 0 " 0 "

PLANILLA DE DETALLES

Angulo Horizontal [°] Angulo Vertical Cenital [°]

P2 P1 1 292 ˚ 6 " ### " 98 ˚ 1 " 1.2 "P2 P1 2 265 ˚ 44 " 30 " 93 ˚ 0.5 " 29 "P2 P1 3 198 ˚ 2.4 " 24 " 95 ˚ 23 " 59 "P2 P1 4 224 ˚ 9.2 " 11 " 93 ˚ 6.8 " 47 "P1 P2 5 59 ˚ 45 " 7.2 " 95 ˚ 21 " 49 "P1 P2 6 57 ˚ 33 " 29 " 96 ˚ 0 " 0 "P1 P2 7 79 ˚ 21 " 35 " 96 ˚ 26 " 59 "P1 P2 8 83 ˚ 29 " 6 " 90 ˚ 3 " 60 "P1 P2 9 98 ˚ 22 " 4.8 " 90 ˚ 9.2 " 11 "P1 P2 11 107 ˚ 42 " 11 " 90 ˚ 28 " 12 "P1 P2 16 102 ˚ 17 " 24 " 90 ˚ 40 " 30 "P1 P2 12 132 ˚ 30 " 7.2 " 91 ˚ 43 " 30 "P1 P2 20 179 ˚ 1 " 1.2 " 93 ˚ 41 " 6 "P1 P2 19 308 ˚ 21 " 25 " 96 ˚ 20 " 59 "P2 P3 13 32 ˚ 50 " 24 " 99 ˚ 52 " 47 "P2 P3 25 163 ˚ 10 " 4.8 " 89 ˚ 48 " 11 "P2 P3 24 228 ˚ 57 " 42 " 92 ˚ 28 " 1.2 "

Punto Atras

Punto Instrume

ntoPunto

Adelante

Punto Atras

Punto Instrume

ntoPunto

Adelante

P2 P3 21 324 ˚ 5.1 " 6 " 96 ˚ 7.1 " 8.4 "P2 P3 22 334 ˚ 36 " 35 " 94 ˚ 49 " 54 "P2 P3 23 9 ˚ 55 " 43 " 109 ˚ 37 " 12 "P3 P4 14 73 ˚ 52 " 54 " 96 ˚ 3.2 " 11 "P3 P4 26 125 ˚ 54 " ### " 100 ˚ 36 " 7.2 "P3 P4 27 125 ˚ 4.5 " 30 " 96 ˚ 21 " 7.2 "P4 P5 18 92 ˚ 53 " 59 " 93 ˚ 45 " 0 "P4 P5 28 23 ˚ 29 " 41 " 96 ˚ 15 " 53 "P4 P5 29 23 ˚ 43 " 54 " 106 ˚ 29 " 37 "P4 P5 15 62 ˚ 24 " 49 " 92 ˚ 13 " 1.2 "P4 P5 17 71 ˚ 30 " 7.2 " 88 ˚ 32 " 59 "P4 P5 10 70 ˚ 6.9 " 54 " 88 ˚ 34 " 54 "

Planilla de calculo de P.L. y compensacion de CoordenadasTeodolito Repetidor, con angulo vertical Cenital

PLANILLA DE LA POLIGONAL Angulo HorizontalERRORMAX 1 '

39.7601.450 0.000 0 BIEN 0 ˚ 0 " 0 "

39.760 033.122

1.440 0.000 0.0083333 BIEN 0 ˚ 0 " 30 "33.122 040.256

1.320 0.500 0 BIEN 0 ˚ 0 " 0 "40.256 042.506

1.450 0.000 0.0166667 BIEN 0 ˚ 0 " 60 "42.496 10.000

0.000 0.000 0 BIEN 0 ˚ 0 " 0 "0.000 00.000

0.000 0.000 180 MAL 180 ˚ 0 " 0 "0.000 0

0.000 0.000 180 MAL 180 ˚ 0 " 0 "0

PLANILLA DE DETALLES

9.704 1.309 0.00025.148 1.309 0.00015.566 1.309 0.00027.312 1.309 0.00017.826 1.400 0.00014.972 1.400 0.00014.708 1.400 0.00010.538 1.400 1.65811.540 1.400 1.65817.880 1.400 1.36520.400 1.400 1.28012.084 1.400 1.13516.448 1.400 0.0009.512 1.305 0.0007.346 1.305 1.640

11.460 1.305 1.08515.592 1.305 0.000

Distancia Inclinada

[m]

Altura Instrument

o [m]Altura Punto

[m]

Distancia Inclinada

[m]

Altura Instrument

o [m]Altura Punto

[m]

19.134 1.305 0.00025.128 1.305 0.0004.848 1.305 0.0007.330 1.305 1.2409.974 1.305 0.350

21.472 1.305 0.29713.190 1.430 0.0009.896 1.430 0.0004.426 1.430 0.000

22.170 1.430 0.00028.640 1.430 1.43031.580 1.430 1.495

Angulo Horizontal Angulo HorizontalERRORMAX 1 '

319.5 -2.666667 365.333333 MAL 365 ˚ 20 " 60 "279 -2.666667 20

90.333333 -0.75 361.5 MAL 361 ˚ 30 " 0 "180.65 -0.75 30

103 0.5 359 MAL 359 ˚ 0 " 0 "206 0.5 0

77.583333 -2.833333 365.7 MAL 365 ˚ 42 " 60 "155.2 -2.866667 42

89 -2.666667 365.333333 MAL 365 ˚ 20 " 60 "178 -2.666667 20

0 0 360 MAL 360 ˚ 0 " 0 "0 0 00 0 360 MAL 360 ˚ 0 " 0 "0 0 0

292.1 98.017333265.73333 93.016198.04667 95.399333

224.156 93.12659.754 95.36066757.566 96

79.352667 96.44933383.486667 90.06666798.369333 90.156

107.706 90.473333102.29667 90.683333

132.504 91.733333179.01733 93.686667

308.364 96.34933332.846667 99.876163.16933 89.806228.95667 92.467333

324.08667 96.121333334.60267 94.83

9.924 109.6233373.88 96.056125.9 100.604

125.08333 96.35492.899333 93.7523.489333 96.262667

23.73 106.4873362.410667 92.217333

71.504 88.54933370.13 88.58

CI Circulo izquierdoCD Circulo derechoΔ Variacion

Inst. InstrumentoH HorizontalV Vertical

Incl. InclinadaPto. Punto

E.L.T. Error Lineal TotalP.L. Presicion Lineal∑ Sumatoria

Ang. AnguloDist. DistanciaCorr. CorregidoUnit. UnitarioInt. InternoF.c. Factor de correccion

CALCULO Y COMPENSACION DE LA POLIGONALNUMERO DE LADOS DE LA POLIGONAL: 6

Punto Atras Punto Inst. Angulo Horizontal [°] Azimut [°]

N.M. P1 139.500 139.500 139º30'0" -90.000

P1 P290.325 90º19'30"

49.158 49º9'30" -90.000-0.667 -0º40'0"89.658 89º39'30"

P2 P3103.000 103º0'0"

331.492 331º29'30" -90.000-0.667 -0º40'0"102.333 102º19'60"

P3 P477.600 77º35'60"

228.425 228º25'30" -90.017-0.667 -0º40'0"76.933 76º55'60"

P4 P589.000 89º0'0"

136.758 136º45'30" -90.000-0.667 -0º40'0"88.333 88º19'60"

P5 P60.000 0º0'0"

316.092 316º5'30" -90.000

Nomenclatura:

Angulo Vertical Cenital [°]

Condicion de lecturas de angulos verticales: Lectura CI+Lectura CD =360° Error aceptable = 1 minuto

Condicion angular de la poligonal: ∑▒〖∢ _𝑖𝑛𝑡=180(𝑛−2)〗Condicion de lecturas de angulos horizontales: Lectura CI=2 ∗(Lectura CD) Error aceptable = 1 minuto

Angulo Horizontal repetidor=𝐶𝐷/2 Angulo Vertical cenital=90−(((360−(CI+CD))/2)+CI)𝐶𝑜𝑟𝑟𝑒𝑐𝑐𝑖𝑜𝑛=𝑒𝑟𝑟𝑜𝑟/(𝑛𝑢𝑚𝑒𝑟𝑜 𝑑𝑒 𝑙𝑒𝑐𝑡𝑢𝑟𝑎𝑠)

𝛥Norte=DH ∗cos (Az)𝛥Este=DH ∗sen (Az)

𝐸.𝐿.𝑇.=√(〖 ((Error Norte)〗^2+(Error Este)^2)" " )𝑃.𝐿. = (∑▒𝐷𝐼)/(𝐸.𝐿.𝑇.)

P5 P6 -0.667 -0º40'0" 316.092 316º5'30" -90.000-0.667 0º40'0"

P6 P10.000 0º0'0"

135.425 135º25'30"-0.667 -0º40'0"-0.667 0º40'0"

∑ Ang. Int. 724.000 ∑ Dist. Incl.:Error Angular: -4.000

Corr. Ang. Unit. -0.667∑ Ang. Int.Corr. 355.925

CALCULO Y COMPENSACION DE DETALLES

Punto Atras Angulo Horizontal [°] Azimut [°]

-40.500P2 P1 292.100 71.600 -8.017P2 P1 265.733 45.233 -3.016P2 P1 198.047 -22.453 -5.399P2 P1 224.156 3.656 -3.126P1 P2 59.754 19.254 -5.361P1 P2 57.566 17.066 -6.000P1 P2 79.353 38.853 -6.449P1 P2 83.487 42.987 -0.067P1 P2 98.369 57.869 -0.156P1 P2 107.706 67.206 -0.473P1 P2 102.297 61.797 -0.683P1 P2 132.504 92.004 -1.733P1 P2 179.017 138.517 -3.687P1 P2 308.364 267.864 -6.349P2 P3 32.847 -97.995 -9.876P2 P3 163.169 32.328 0.194P2 P3 228.957 98.115 -2.467P2 P3 324.087 193.245 -6.121P2 P3 334.603 203.761 -4.830P2 P3 9.924 239.082 -19.623P3 P4 73.880 585.372 -6.056P3 P4 125.900 277.392 -10.604P3 P4 125.083 276.575 -6.354P4 P5 92.899 501.324 -3.750P4 P5 23.489 431.914 -6.263P4 P5 23.730 432.155 -16.487P4 P5 62.411 470.836 -2.217P4 P5 71.504 479.929 1.451P4 P5 70.130 478.555 1.420

Punto Instrumento

Angulo Vertical [°]

1,490.00

1,500.00

1,510.00

1,520.00

1,530.00

1,540.00

1,550.00

1960.000

1970.000

1980.000

1990.000

2000.000

2010.000

2020.000

2030.000

2040.000

2050.000

PoligonalDetalles

Este

Nor

te

1,490.00

1,500.00

1,510.00

1,520.00

1,530.00

1,540.00

1,550.00

1960.000

1970.000

1980.000

1990.000

2000.000

2010.000

2020.000

2030.000

2040.000

2050.000

PoligonalDetalles

Este

Nor

te

CALCULO Y COMPENSACION DE LA POLIGONAL6 SUMATORIA DE ANGULOS INTERNOS: 720

Coordenadas ParcialesΔ Norte Δ Este

-90º0'0" 39.760 0.000 1.450 0.000-39.760 0.000 0.00038.442 -0.002 -0.002-1.318 -0.002 -0.002

-90º0'0" 33.122 0.000 1.440 0.000-33.122 0.000 0.00032.024 -0.002 -0.002-1.098 -0.002 -0.002

-90º0'0" 40.256 0.000 1.320 0.500-40.256 0.000 0.00038.921 -0.002 -0.002-1.335 -0.002 -0.002

-90º0'60" 42.501 -0.012 1.450 0.000-42.501 0.008 0.00941.092 -0.002 -0.003-1.409 0.006 0.007

-90º0'0" 0.000 0.000 0.000 0.0000.000 0.000 0.0000.000 0.000 0.0000.000 0.000 0.000

-90º0'0" 0.000 0.000 0.000 0.0000.000 0.000 0.000

Angulo Vertical Cenital [°]

Distancia Inclinada

[m]

Distancia Horizontal

[m]Altura Ins.

[m]Altura

Punto[m]Distancia Vertical

Condicion de lecturas de angulos verticales: Lectura CI+Lectura CD =360° Error aceptable = 1 minuto

Condicion de lecturas de angulos horizontales: Lectura CI=2 ∗(Lectura CD) Error aceptable = 1 minuto

Angulo Horizontal repetidor=𝐶𝐷/2 Angulo Vertical cenital=90−(((360−(CI+CD))/2)+CI)𝐶𝑜𝑟𝑟𝑒𝑐𝑐𝑖𝑜𝑛=𝑒𝑟𝑟𝑜𝑟/(𝑛𝑢𝑚𝑒𝑟𝑜 𝑑𝑒 𝑙𝑒𝑐𝑡𝑢𝑟𝑎𝑠)

𝛥Norte=DH ∗cos (Az)𝛥Este=DH ∗sen (Az)

𝐸.𝐿.𝑇.=√(〖 ((Error Norte)〗^2+(Error Este)^2)" " )

Angulo Horizontal reiterador=𝐶𝐷−180 Angulo Vertical normal=(CI+𝐶𝐷)/2

-90º0'0" 0.000 0.000 0.000 0.000 0.000 0.000 0.0000.000 0.000 0.000

error 0.008 0.009

Fac. De Correc. -0.0000527 -0.0000594∑ Dist. Incl.: 155.639 Sum. Corre. 0.000 0.000

E.L.T. 0.012P.L. 12589.056 Buen levantamiento

CALCULO Y COMPENSACION DE DETALLESCoordenadas ParcialesΔ Norte Δ Este

9.704 9.609 1.309 0.000 -1.353 3.033 9.11825.148 25.113 1.309 0.000 -1.323 17.685 17.83015.566 15.497 1.309 0.000 -1.465 14.322 -5.91927.312 27.271 1.309 0.000 -1.489 27.216 1.73917.826 17.748 1.400 0.000 -1.665 16.755 5.85314.972 14.890 1.400 0.000 -1.565 14.234 4.37014.708 14.615 1.400 0.000 -1.652 11.382 9.16810.538 10.538 1.400 1.658 -0.012 7.709 7.18511.540 11.540 1.400 1.658 -0.031 6.138 9.77217.880 17.879 1.400 1.365 -0.148 6.927 16.48320.400 20.399 1.400 1.280 -0.243 9.640 17.97712.084 12.078 1.400 1.135 -0.366 -0.422 12.07116.448 16.414 1.400 0.000 -1.058 -12.297 10.8739.512 9.454 1.305 0.000 -1.052 -0.352 -9.4477.346 7.237 1.305 1.640 -1.260 -1.007 -7.167

11.460 11.460 1.305 1.085 0.039 9.684 6.12815.592 15.578 1.305 0.000 -0.671 -2.199 15.42219.134 19.025 1.305 0.000 -2.040 -18.519 -4.35925.128 25.039 1.305 0.000 -2.116 -22.916 -10.0894.848 4.566 1.305 0.000 -1.628 -2.346 -3.9187.330 7.289 1.305 1.240 -0.773 -5.121 -5.1879.974 9.804 1.305 0.350 -1.835 1.261 -9.722

21.472 21.340 1.305 0.297 -2.376 2.444 -21.20013.190 13.162 1.430 0.000 -0.863 -10.275 8.2259.896 9.837 1.430 0.000 -1.080 3.054 9.3514.426 4.244 1.430 0.000 -1.256 1.301 4.040

22.170 22.153 1.430 0.000 -0.858 -7.880 20.70528.640 28.631 1.430 1.430 0.725 -14.285 24.81331.580 31.570 1.430 1.495 0.783 -15.091 27.730

Distancia Inclinada

[m]

Distancia Horizontal

[m]

Altura Instrumento

[m]Altura

Punto[m]Distancia Vertical

1,490.00

1,500.00

1,510.00

1,520.00

1,530.00

1,540.00

1,550.00

1960.000

1970.000

1980.000

1990.000

2000.000

2010.000

2020.000

2030.000

2040.000

2050.000

PoligonalDetalles

Este

Nor

te

1,490.00

1,500.00

1,510.00

1,520.00

1,530.00

1,540.00

1,550.00

1960.000

1970.000

1980.000

1990.000

2000.000

2010.000

2020.000

2030.000

2040.000

2050.000

PoligonalDetalles

Este

Nor

te

CALCULO Y COMPENSACION DE LA POLIGONAL

Coordenadas TotalesNorte Este2016 1516 3716 P1

2015.998 1515.9983677.690

P23716.132

2015.996 1515.9963646.008

P390.325 90

0.667 03716.474 89.658 89

2015.994 1515.9933606.572

P4103.000 103

0.667 03715.959 102.333 102

2016.000 1516.0003565.521

P577.600 77

0.667 03716.000 76.933 76

2016.000 1516.0003565.521

P689.000 89

0.667 03716.000 88.333 88

2016.000 1516.0003565.521

P10.000 0

Elevacion [m.s.n.m.]

Punto Adelante

2016.000 1516.0003565.521

P1 0.667 03716.000 0.667 0

Error. Elev. -150.479 0.000 0F.c. Elev. -0.967 0.667 0

0.667 0

Buen levantamiento

CALCULO Y COMPENSACION DE DETALLESCoordenadas TotalesNorte Este2016 1516 3716

2019.033 1525.118 3715.956 12033.685 1533.830 3715.986 22030.322 1510.081 3715.844 32043.216 1517.739 3715.820 42032.753 1521.850 3715.866 52030.232 1520.367 3715.967 62027.379 1525.166 3715.880 72023.707 1523.183 3715.862 82022.135 1525.770 3715.842 92022.925 1532.481 3716.019 112025.638 1533.974 3716.009 162015.576 1528.069 3716.031 122003.701 1526.870 3716.474 202015.646 1506.551 3716.385 192014.990 1508.829 3714.879 132025.680 1522.124 3716.732 252013.797 1531.417 3717.107 241997.477 1511.637 3715.738 211993.080 1505.907 3715.663 222013.650 1512.078 3716.151 232010.873 1510.806 3715.251 142017.255 1506.271 3715.079 262018.438 1494.794 3714.591 272005.725 1524.225 3716.567 182019.054 1525.351 3716.350 282017.301 1520.040 3716.174 292008.120 1536.705 3716.572 152001.715 1540.813 3716.725 172000.909 1543.730 3716.718 10

Elevacion [m.s.n.m.]

Punto Adelante

139.500 139 30 0

20 30 49.158 49 9 30

40 0

39 30

0 0 331.492 331 30 30

40 0

20 60

36 60 228.425 228 26 30

40 0

56 60

0 0 136.758 136 45 30

40 0

20 60

0 0 316.092 316 6 30

40 0

40 0

0 0 135.425 135 26 30

40 0

40 0

90.000 90 0 0

90.000 90 0 0

90.000 90 0 0

90.017 90 1 60

90.000 90 0 0

90.000 90 0 0