trabajo de topografa ii

AJUSTE DE UN POLGONOMTODO TOPOGRFICOLos ngulos de I en grados centesimales (g)Los ngulos de D en grados centesimales (g)Los ngulos de V en grados centesimales (g)

I1=90.5200 gD1=41.0010 gV1=68.4880 g

I2=104.7269 gD2=53.3590 gV2=41.9160 g

I3=63.5020 gD3=84.3718 gV3=52.1195 g

I4=86.2500 gD4=60.5590 gV4=53.1965 g

I5=54.9900 gD5=59.6453 gV5=85.3590 g

. Condiciones GeomtricasI1 + D1 + V1 = 200 g I2 + D2 + V2 = 200 g I3 +D3 +V3 = 200 g200.0090 g 200 g 200.0019 g 200 g 199.9933 g 200 gError == 30 Error= = 6.3 Error= = 22.3 I4 + D4 + V4 = 200 g I5 + D5 +V5 = 200200.0055 g 200 g 199.9943 g 200 gError= = 18.3 Error= = 19 ngulos corregidos por tringulos I1=90.5200 g - 30D1=41.0010 g - 30V1=68.4880 g - 30

I2=104.7269 g - 6D2=53.3590 g - 6V2=41.9160 g - 7

I3=63.5020 g + 22D3=84.3718 g + 22V3=52.1195 g + 23

I4=86.2500 g - 18D4=60.5590 g - 18V4=53.1965 g - 19

I5=54.9900 g + 19D5=59.6453 g + 19V5=85.3590 + 19

I1=90.5170 gD1=40.9980 gV1=68.4850 g

I2=104.7263 gD2=53.3584 gV2=41.9153 g

I3=63.5042 gD3=84.3740 gV3=52.1218 g

I4=86.2482 gD4=60.5572 gV4=53.1946 g

I5=54.9919 gD5=59.64 72 gV5=85.3609 g

I1 + I2 + I3 + I4 + I5 = 400 g399.9876 g 400 gError total = 0.0124Error= = 24.8 25

ngulos corregidos geomtricamenteI1=90.5170 g + 25D1=40.9980 g - 12V1=68.4850 g - 13

I2=104.7263 g + 25D2=53.3584 g - 12V2=41.9153 g - 13

I3=63.5042 g + 25D3=84.3740 g - 12V3=52.1218 g - 13

I4=86.2482 g + 25D4=60.5572 g - 12V4=53.1946 g - 13

I5=54.9919 g + 24D5=59.64 72 g - 12V5=85.3609 g - 12

I1=90.5195 gD1=40.9968 gV1=68.4837 g

I2=104.7288 gD2=53.3572 gV2=41.9140 g

I3=63.5067 gD3=84.3728 gV3=52.1205 g

I4=86.2507 gD4=60.5560 gV4=53.1933 g

I5=54.9943 gD5=59.64 60 gV5=85.3597 g

. Condicin Trigonomtrica

Multiplicando miembro a miembro y luego simplificando Ecuacin de la condicin trigonomtrica0.9997373995 cot D = 3.930618999 cot N = 3.906704474 e = 636620 = 21 ngulos finalesI1=90.5195 gD1=40.9968 g - 21V1=68.4837 g + 21

I2=104.7288 gD2=53.3572 g - 21V2=41.9140 g + 21

I3=63.5067 gD3=84.3728 g - 21V3=52.1205 g + 21

I4=86.2507 gD4=60.5560 g - 21V4=53.1933 g + 21

I5=54.9943 gD5=59.64 60 g - 21V5=85.3597 g + 21

I1=90.5195 gD1=40.9947 gV1=68.4858 g

I2=104.7288 gD2=53.3551 gV2=41.9161 g

I3=63.5067 gD3=84.3707 gV3=52.1226 g

I4=86.2507 gD4=60.5539 gV4=53.1954 g

I5=54.9943 gD5=59.64 39 gV5=85.3618 g

Ya teniendo los ngulos corregidos geomtrica y trigonomtricamente calcularemos un lado por dos caminos y los valores tienen que ser iguales

BF = 1228.055605 CF CF = 1492.002005

EF = EF = 2175.238572 DF = = DF = 1981.770138 C F = CF = 1491.995877 CF = 1492.002005 1491.995877Calculando lados del polgono AB = AB = 2022.913461 BC = BC = 2001.534511 CD = CD= 1716.460631 DF = DF = 1981.778277 DE = DE =2609.890167 EF = EF =2175.247506 AE = AE =1698.651646 AF = AF =1800.007393 AF=1800 1800.007393Lados del polgonoAB=2022.913461BC=2001.534511CD=1716.460631DE=2609.890167EA=1698.651646Calculando coordenadasVrticesDistanciangulosAZIMUT

A126.3565 g

B2022.91346130

B121.8409 g

C2001.534511108.1591

C126.2868 g

D1716.460631181.8723

D112.6765 g

E2609.890167269.1958

E112.8393 g

A1698.651646356.3565

VrticesD x cos(Azimut)D x sen(Azimut)Coordenadas

+Y-Y+X-XYX

A5200018000

B1802.429092918.383493153802.429118918.3835

B

C255.8206671985.11868353546.608420903.5022

C

D1647.34243482.182633451899.26621385.6848

D

E1214.145652310.276450685.120419075.4084

E

A1314.8763781075.41551999.996817999.9934

EJERCICIO

1 = 4525142 = 4410593 = 501435

4 = 4009125 = 4055596 = 484022

7 = 4318478 = 470508

I1 = 575315D1 = 714103V1 =502608

I2 = 403034D2 = 761315V2 =631607

I3 = 462615D3 = 600436V3 =732914

I4 = 782034D4 = 345000V4 =664931

I5 = 805642D5 = 570604V5 =415717

I6 = 555315D6 = 651023V6 =585655

1 = 8323182 = 7031203 = 260531

4 = 2957435 = 6849376= 811235

. Correccin del cuadriltero1 = 4525142 = 4410593 = 501435

4 = 4009125 = 4055596 = 484022

7 = 431847 8 = 470508

Condicin Geomtrica1 + 2 = 5 + 6 3 + 4 = 7 + 8 893613 893621 902347 902355Error = 8 Error = 8 ngulos corregidos1 = 452514 + 22 = 441059 + 23 = 501435 + 2

4 = 400912 + 25 = 405559 - 26 = 484022 - 2

7 = 431847 - 28 = 470508 - 2

1 = 4525162 = 4411013 = 501437

4 = 4009145 = 4055576 = 484020

7 = 4318458 = 470506

1 + 2 + 3 + 4 + 5 + 6 + 7 + 8 = 360 3600016 360 Error = 16 21 = 452516 -22 = 441101 -23 = 501437-2

4 = 400914 -25 = 405557 -26 = 484020-2

7 = 431845-28 = 470506 -2

ngulos corregidos1 = 4525142 = 4410593 = 501435

4 = 4009125 = 4055556 = 484018

7 = 4318438 = 470504

Condiciones Trigonomtrica = = = 0.9956734028cotD = 4.023389736 cotN = 4.031185769e = 206265e = 206265 = -111.037

1 = 452514 -1512 = 441059 - 1513 = 501435 +151

4 = 400912 -1515 = 405555 +1516 = 484018 - 151

7 = 431843 + 1518 = 470504 -151

1 = 4527052 = 4409083 = 501626

4 = 4007215 = 4057466 = 483827

7 = 4320348 = 470313

Calculo de distancias AB=1329.890m CD= 1307.615m AD= 1182.419m CD=1307.613m. Correccin del polgonoI1 = 575315D1 = 714103V1 =502608

I2 = 403034D2 = 761315V2 =631607

I3 = 462615D3 = 600436V3 =732914

I4 = 782034D4 = 345000V4 =664931

I5 = 805642D5 = 570604V5 =415717

I6 = 555315D6 = 651023V6 =585655

Condiciones geomtricas I1 + D1 + V1 = 180 I2 + D2 +V2 = 180 I3 + D3 +V3 = 1801800026 180 1795956 180 1800005 180Error= Error= Error= 1.6I4 + D4 + V4 = 180 I5 + D5 +V5 = 180 I6 + D6 +V6 = 1801800005 180 1800003 180 1800033 180Error= Error= Error= 11ngulos corregidos por tringulosI1 = 575315 - 8D1 = 714103 - 9V1 =502608 - 9

I2 = 403034 + 2D2 = 761315 + 1V2 =631607 + 1

I3 = 462615 - 1D3 = 600436 - 2V3 =732914 - 2

I4 = 782034 - 1D4 = 345000 - 2V4 =664931 -2

I5 = 805642 - 1D5 = 570604 -1V5 =415717 - 1

I6 = 555315 -11D6 = 651023 -11V6 =585655 -11

I1 = 575307D1 = 714054V1 =502559

I2 = 403036D2 = 761316V2 =631608

I3 = 462614D3 = 600434V3 =732912

I4 = 782033D4 = 344958V4 =664929

I5 = 805641D5 = 570603V5 =415716

I6 = 555304D6 = 651012V6 =585644

I1 + I2 + I3 + I4 + I5 + I6 = 360 3600000 360 Error 15 2.5ngulos corregidos por vrticeI1 = 575307 -2D1 = 714054 +1V1 =502559 +1

I2 = 403036 -3D2 = 761316 +2V2 =631608 +1

I3 = 462614 -2D3 = 600434 +1V3 =732912 +1

I4 = 782033 - 3D4 = 344958 +1V4 =664929 +2

I5 = 805641 -2D5 = 570603 +1V5 =415716 +1

I6 = 555304 -3D6 = 651012 +2V6 =585644 +1

I1 = 575305D1 = 714055V1 =502600

I2 = 403033D2 = 761318V2 =631609

I3 = 462612D3 = 600435V3 =732913

I4 = 782030D4 = 344959V4 =664931

I5 = 805639D5 = 570604V5 =415717

I6 = 555301D6 = 651014V6 =585645

Condiciones trigonomtricas cotD = 3.698496404 cotN = 3.768981433e = 206265e = 206265 = -20.466 20ngulos finales corregidosI1 = 575305D1 = 714055 -20V1 =502600 +20

I2 = 403033D2 = 761318 -20V2 =631609 +20

I3 = 462612D3 = 600435-20V3 =732913 +20

I4 = 782030D4 = 344959 -20V4 =664931 +20

I5 = 805639D5 = 570604-20V5 =415717 +20

I6 = 555301D6 = 651014-20V6 =585645+20

I1 = 575305D1 = 714035V1 =502620

I2 = 403033D2 = 761258V2 =631629

I3 = 462612D3 = 600415V3 =732933

I4 = 782030D4 = 344939V4 =664951

I5 = 805639D5 = 570544V5 =415737

I6 = 555301D6 = 650954V6 =585705

Calculo de distancias CD = 1307.614 CE=1190.228m EH= 1210.978m EF= 1552.434m 1190.138m CI = 796.061m HG= 2076.658m DF= 1416.232mCorreccin de los tringulos 1 = 8323182 = 7031203 = 260531

4 = 2957435 = 6849376= 811235

Condicin geomtrica1 + 2 + 3 = 180 1 + 2 + 3 = 1801800009 180 1795955 180 Error 9 Error 5 3 21 = 832318 - 32 = 703120 - 33 = 260531 - 3

4 = 295743 + 25 = 684937 + 26= 811235 + 1

1 = 8323152 = 7031173 = 260528

4 = 2957455 = 6849396= 811236

Calculo de lados HG = 2076.658 HJ=4690.414m GJ= 4451.576m GK= 4200.416m 2249.649m-------------------------------------------------------------------------------------------------------------------------------------------------------CONCLUSIN

1 = 4527052 = 4409083 = 501626

4 = 4007215 = 4057466 = 483827

7 = 4320348 = 470313

I1 = 575305D1 = 714035V1 =502620

I2 = 403033D2 = 761258V2 =631629

I3 = 462612D3 = 600415V3 =732933

I4 = 782030D4 = 344939V4 =664951

I5 = 805639D5 = 570544V5 =415737

I6 = 555301D6 = 650954V6 =585705

1 = 8323152 = 7031173 = 260528

4 = 2957455 = 6849396= 811236

LADOSAB=1329.890m CD= 1307.615mAD= 1182.419m CD=1307.613mCE=1190.228mEH= 1210.978mEF= 1552.434m 1190.138mCI = 796.061m HG= 2076.658m DF= 1416.232m HJ=4690.414m GJ= 4451.576mGK= 4200.416m 2249.649m. Clculos de azimut.- Estos clculos se hicieron por la regla de la nemnica 250000 1350059 22155522973018

765848 1071617 16022112633455 3226 3201517

895054 1822354 .Clculo de coordenadas = 170000m 8500700m = + ABcos( = 8501787.569 m = + ABsen( = 170507.142m = + BCsen( = 8501263.679m = + BCcos( = 171740.367m

= + CDcos( = 8500153.928m = + CDsen( =171048.771m

= + CEcos( = 8502178.839m = + CEsen( = 170979.510m

= + CIcos( = 8501443.025m = + CIsen( =172515.962m

= + IHsen( = 8501171.300m = + IHcos( =173389.908m = + HGsen( = 8499215.337m = + HGcos( =174087.560m

= + FGcos( = 8498959.029 m = + FGsen( =171809.007m

= + HJsen( = 8501183.716m = + HJcos( = 178080.306m

= + HJcos( =8498936.037m = + HJsen( = 177986.165mPUNTONORTEESTE

A8500700.000m170000.000m

B8501787.569 m170507.142m

C8501263.679m171740.367m

D8500153.928m171048.771m

E8502178.839m170979.510m

F8498959.029 m171809.007m

G8499215.337m174087.560m

H8501171.300m173389.908m

I8501443.025m172515.962m

J8501183.716m178080.306m

K8501183.716m177986.165m

A8500700.000m170000.000m

COMPENSACIN DE TRINGULOS

1 = 63 11 14 + 14 = 69 52 46 + 37 = 64 57 41 + 2

2 = 60 47 43 + 15 = 61 54 25 + 3 8 = 63 43 25 + 1

3 = 56 00 01+16 = 48 12 41 + 2 9 = 51 18 50 + 1

= 1795957 = 1795952 = 1795956 ERROR: 3 ERROR: 8 ERROR: 4 CONDICIN TRIGONOMTRICA:CAMINO I I CAMINO II II De I y II se tiene:1 = = e = FORMULA NUEVA e = = 0.89Esta correccin restamos a 1,5 y 9 y sumamos a 2.ngulos corregidos1 = 63 11 14 4 = 69 52 497 = 64 57 43

2 = 60 47 45 5 = 61 54 27 8 = 63 43 27

3 = 56 01 016 = 48 12 44 9 = 51 18 50

Calculo del lado AE: = 500.771 m = 500.772 m1