TAREA1-TOPO2

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TOPOGRAFÍA APLICADA 
2023 
 
INTEGRANTES: 
 
 
ING. 
VALVERDE HERRERA LUDER 
 
• BOCANEGRA MARREROS ROY. 
• HUAYLLA GOMEZ DENIS. 
• IGLESIAS PAREDES AMIR 
• MONTENEGRO HUAMÁN JOHN 
• RUIZ COBA BRYAN. 
G M S DECIMALES RADIANES G M S DECIMALES RADIANES DI DH DV
1 1.629 6 1.211 0.785 91 6 50 91.1139 1.5902 94 46 3 94.7675 1.6540 42.60 42.58 -0.83
2 1.140 0.632 90 59 43 90.9953 1.5882 121 49 41 121.8281 2.1263 50.80 50.78 -0.88
2 1.617 1 1.250 0.743 90 26 19 90.4386 1.5785 108 1 21 108.0225 1.8853 50.70 50.70 -0.39
3 1.179 0.940 91 13 3 91.2175 1.5920 92 55 30 92.9250 1.6218 23.90 23.89 -0.51
3 1.567 2 0.720 0.480 91 20 30 91.3417 1.5942 92 11 28 92.1911 1.6090 24.00 23.99 -0.56
4 0.320 0.068 94 13 3 94.2175 1.6444 73 38 50 73.6472 1.2854 25.20 25.06 -1.85
4 1.562 3 1.231 0.968 91 37 50 91.6306 1.5993 269 34 12 269.5700 4.7049 26.30 26.28 -0.75
5 1.367 1.098 90 59 43 90.9953 1.5882 301 55 1 301.9169 5.2694 26.90 26.89 -0.47
5 1.635 4 1.369 1.100 90 40 35 90.6764 1.5826 0 0 0 0.0000 0.0000 26.90 26.90 -0.32
6 1.623 1.377 88 1 43 88.0286 1.5364 16 36 55 16.6153 0.2900 24.60 24.57 0.85
6 1.599 5 1.122 0.877 90 52 43 90.8786 1.5861 0 0 0 0.0000 0.0000 24.50 24.49 -0.38
1 1.211 0.785 90 4 34 90.0761 1.5721 274 47 57 274.7992 4.7962 42.60 42.60 -0.06
EST PV G M S DECIMALES RADIANES
1 2 70 11 27 70.1908 1.2251
2 3 13 49 56 13.8322 0.2414
3 4 11 10 11 11.1697 0.1949
4 5 73 36 34 73.6094 1.2847
5 6 32 4 33 32.0758 0.5598
6 1 27 27 20 27.4556 0.4792
LADO ÁNGULOS CORREGIDOS
ÁNGULO HORIZONTAL DISTANCIAS
EST. Ai PV Hs Hi
ÁNGULO VERTICAL
EST PV + N - S + E - W
1 2 50.78 42°43'06'' + 00°01'01'' 42°44'07'' 70°11'27'' 17.21 47.78
2 3 23.89 123°37'28'' + 00°01'01'' 123°38'29'' 13°49'56'' 23.20 5.71
3 4 25.06 177°19'14'' + 00°01'01'' 177°20'15'' 11°10'11'' 24.59 4.86
4 5 26.89 62°25'22'' + 00°01'01'' 62°25'23'' 73°36'34'' 7.59 25.80
5 6 24.57 138°26'58'' + 00°01'01'' 138°27'59'' 32°04'33'' 20.82 13.05
6 1 42.60 175°21'46'' + 00°01'01'' 175°22'47'' 27°27'20'' 37.80 19.64
193.80 719°53'54'' + 00°01'01'' 720°00'00'' SUMAS 131.21 0.00 116.83 0.00
CONDICIÓN ANGULAR = 180°(n±2) = 180°(6-2) = 720° Y = L cos Az
X = L sen Az
EA = ∑ ANGULAR - CONDICIÓN ANGULAR = 719°53'54'' - 270° = 00°06'06'
Ey = ∑YN - ∑YS = 131.21
TA = ± a √n = ± 10'' √6 = ± 25''
Ex = ∑XE - ∑XW = 116.83
EA < TA; EL LEVANTAMIENTO NO SE ACEPTA
EL = √(Ey^2 + Ex^2) = 175.69
C = EA/n = 00°06'06'/6 = 00°01'01''
LA CORRECIÓN SE APLICA EN SENTIDO HORARIO AL ERROR
Az Lado n = Az Inv Lado n-1 + θn
EST PV G M S DECIMALES RADIANES
1 2 70 11 27 70.1908 1.2251
2 3 13 49 56 13.8322 0.2414
3 4 11 10 11 11.1697 0.1949
4 5 73 36 34 73.6094 1.2847
5 6 32 4 33 32.0758 0.5598
6 1 27 27 20 27.4556 0.4792
LADO ÁNGULOS CORREGIDOS
LOS NÚMEROS EN NEGRITA CORRESPONDEN A LOS DATOS DE CAMPO
SUMAS
C
ÁNGULOS 
OBSERVADOS
ÁNGULOS 
CORREGIDOS
AZIMUTES
LADO
DISTANCIA L
PROYECCIONES SIN CORREGIR
Y X + N - S + E - W Y X
17.21 47.78 34.42 0.00 1 9098806.425 715815.627
23.20 5.71 46.39 0.00 2 9098840.85 715815.63
24.59 4.86 49.18 0.00 3 9098887.24 715815.63
7.59 25.80 15.18 0.00 4 9098936.42 715815.63
20.82 13.05 41.64 0.00 5 9098962.22 715815.63
37.80 19.64 75.60 0.00 6 9098977.39 715815.63
SUMAS 262.41 0.00 0.00 0.00
TL = ∑ L / 5000 = 0.03876
EL < TL ; EL LEVANTAMIENTO SE ACEPTA
P = 1 / (∑ L / EL) = 1/(193.82/175.70)
P = 1 / 1.10313
Ky = Ey / (∑ YN + ∑ YS) = 131.22/ (131.22 + 0) = 1
Kx = Ex / (∑ XE + ∑ XW) = 116.84 / (116.84 + 0) = 1
VERT
CORRECIONES PROYECCIONES CORREGIDAS COORDENADAS
	REGISTRO
	PLANILLA DE CÁLCULO