‘’EL ENANO’’
PRESENTADO POR: PRESENTADO A: PROFESOR. CESAR DAZA CAMPILLO
TOPOGRAFÍA
UNIVERSIDAD DE LA COSTA CUC 18/09/2014 Introducción
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Contenido Introducción........................................................................................................2 1. Marco Teórico................................................................................................4 2. Objetivos....................................................................................................... 7 3. Cálculos........................................................................................................8 3.1. Ai!uts..................................................................................................8 3.2. "u!bos..................................................................................................8 3.3. #ro$ecciones..........................................................................................% 3.4. #ro$ecciones corre&idas.......................................................................1' 3.(. )rror.....................................................................................................11 3.*. Cierre....................................................................................................11 3.7. +rea......................................................................................................12 4. Cartera........................................................................................................ 13 (. Conclusión..................................................................................................1( *. ,iblio&ra-a..................................................................................................1* 7. Ane/os........................................................................................................17
1. Marco Teórico L% poligonación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•
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Métodos de medida de ángulos y direcciones en las poligonales L(" 5#(3(" 6-! "! -"% %$% 5!3*$ )(" -)(" ( 3*$!*(!" 3! )%" )7!%" 3! )%" ()*(%)!" "(: • • • •
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Trazo de poligonales por rumbos
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Trazo por poligonales por ángulos a la derecha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
2. Objetivos Generales: R!%)*+%$ )% %$#!$% #(($*% 3! ‘’!) !%(’’ ( !) %5&*( % )% -!% %+*5-#
Específicos: E#!3!$ #(3(" )(" (!#(" %)*%3(" ! )!%#%5*!#(" 3! ()*(%) M%!'%$ 3! 5%!$% %3!-%3% !) -"( 3! )% %$#!$% 3! (**% A$!3!$ % %)-)%$ @ %'-"#%$ -% ()*(%)
3. Cálculos 3.1. Azimuts '
' '
'
' '
−180 ° + 236 ° 32 30 =317 ° 42 ' 48 ' '
260 ° 70 18
317 ° 42 ' 48 ' ' −180 ° + 188 ° 34 ' 36 ' ' = 326 ° 17 ' 24 '
'
'
326 ° 17 24
'
' '
−180 ° + 173 ° 26 59 =319 ° 44 ´ 23 ¨
319 ° 44 ° 23 ° −180 ° + 166 ° 29 ' 12 ' ' =306 ° 13 ' 35 ' ' '
' '
306 ° 13 35
'
' '
−180 ° + 275 ° 10 04 − 360 ° =41 ° 23 ' 39 ' '
41 ° 23 ' 39 ' ' −180 ° + 264 ° 55 ' 07 ' ' =126 ° 18 ' 46 ' '
126 ° 18 ' 46 ' ' −180 ° + 192 ° 23 ' 43 ' ' =138 ° 42 ' 29 ' ' 138 ° 41 ' 59 ' ' −180 ° + 149 ° 23 ' 28 ' ' =108 ° 05 ' 57 ' '
'
' '
108 ° 05 57
'
' '
−180 ° + 247 ° 36 12 =175 ° 41 ' 09 ' ' '
' '
175 ° 41 ' 39 ' ' −180 ° + 265 ° 28 ' 36 ' ' = 261 ° 10 45
3.2. Rumbos '
''
'
''
260 ° 70 18 317 ° 42 48
'
' '
−180 °= S −81 ° 10 18 −W ' '
−360 ° = N −42 ° 17 ' 42 −W
'
326 ° 17 24 ' ' −360 ° = N −33 ° 42 ' 36 ' ' −W 319 ° 44 ' 23 -360°=N-40°15'37''-W 306 ° 13 ' 35 ' ' −360 ° = N −53 ° 46 ' 25 ' ' −W
'
' '
41 ° 23 39
−0 ° = N −41 ° 23 ' 39 ' ' − E
126 ° 18 ' 46 ' ' −180 ° = N −53 ° 41 ' 14 ' ' −W
138 ° 41 ' 29 ' ' −180 ° = N − 41 ° 17 ' 31 ' ' −W 108 ° 05 ' 57 ' ' −180 ° = N −71 ° 54 ' 03 ' ' − W '
' '
175 ° 41 09
−180 ° = N − 4 ° 17 ' 51 ' ' −W
3.3. ro!ecciones E sen W × Distancia
0,988152607 × 86.05 =85.030 W
0,672947966 × 82.10 =55.249 W 0,554989622 × 58.09=32.239 W
0,646260878 × 61.43 = 39.699 W 0,806688209 × 46.40 =37.430 W
0,661126376 × 33.47 =22.127 E 0,805882357 × 80.12= 64.567 E
0,66000531 × 95.13 = 62.786 E 0,950565424 × 101.80 =96.767 E
0,07508025 × 44.78 =3.362 E
N cos S × Distancia
0,153474506 × 86.05 =13.206 S 0,739689823 × 82.10 =60.728 N
0,83185727 × 58.09 =48.322 N
0,763116555 × 61.43 =46.878 N
0,590977269 × 46.40 =27.421 N 0,750274559 × 33.47 =25.111 N
0,592075693 × 80.12 = 47.437 S 0,751260933 × 95.13 =71.467 S
0,310524354 × 101.80 =31.611 S 0,997199613 × 44.78 =44.653 S
∑ E =249.609 ∑ W =249.647 ∑ E + ∑ W = 499.256 ∆ EW = 0.038
∑ N =208.46 ∑ S =208.374 ∑ N +∑ S =416.834 ∆ NS =0.086
3.". ro!ecciones corre#idas C =
C =
∆ EW
∑ E +∑ W 0.038 499.256
C =0,0000761132565
•
P$(@!*(!" ($$!*3%" !"#! E
P1
=22.127 −(0,0000761132565 ∗22.127 )= 22.442
P2
=64.567 −(0,0000761132565 ∗64.567 )= 64.562
P3=62.786 −( 0,0000761132565∗62.786 )= 62.781 P4
=96.767 −( 0,0000761132565 ∗96.767 )= 96.759
P5
=3.362−( 0,0000761132565 ∗3.362)= 3.361
∑ P =249.784 •
P1
P$(@!*(!" ($$!*3%" (!"#! J
=85.030 +( 0,0000761132565 ∗85.030 )=85.036
P2=55.249 +( 0,0000761132565∗ 55.249 )= 55.253 P3=32.239 + ( 0,0000761132565 ∗32.239 )= 32.241 P4
=39.699 +(0,0000761132565 ∗39.699 )=39.702
P5=37.430 +( 0,0000761132565 ∗37.430 )= 37.432
∑ P =249.784
C =
C =
∆ NS
∑ N + ∑ S 0.086 416.834
C =0,000206317143
•
C($$!*(!" N($#! N
P1=60.728 −(0,000206317143 ∗60.728 )=60.715 P2
= 48.322 −(0,000206317143 ∗48.322 )= 48.312
P3= 46.878 −( 0,000206317143 ∗46.878 )= 46.868 P4
=27.421 −( 0,000206317143 ∗27.421 )=27.415
P5=25.111 −( 0,000206317143 ∗25.111 )=25.105
∑ P =208.414 •
C($$!*(!" S-$S.
P1
=13.206 +( 0,000206317143 ∗13.206 )=13.208
P2
= 47.437 +(0,000206317143 ∗47.437 )= 47.446
P3
=71.467 +( 0,000206317143 ∗71.467 )= 71.481
P4 =31.611 +( 0,000206317143 ∗31.611 )=31.617 P5
= 44.653 +( 0,000206317143 ∗44.653 )= 44.662
∑ P =208.414 3.$. %rror √
´ E= ∆ EW E=
2
+ ∆ ´NS2
√ ( 0.038 ) +( 0.086 )
E= 0.094
2
2
3.&. Cierre D C = E
=
C
689.37 0.094
C =7333.72
C =1:7333
3.'. (rea rea poligonal: A =
A =
∑ ⋱−∑ ⋰ 2
27454,8769 − 242346,9823 2
A =107,446.0527
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