Calculo De Una Poligonal De Topografia

Ángulos De Deflexión Compensación Angulo corregido
1- + 88°03.1´ - 0.2´ + 88°02.9´
2- + 11°36.0´ - 0.2´ + 11°35.8´
3- - 08°07.0´ - 0.2´ -08°07.2´
4- + 114°01.7´ - 0.2´ +114°01.5´
5- + 71°20.7´ - 0.2´ + 71°20.5´
6- - 08°24.5´ - 0.3´ - 08°24.8´
7- + 91°31.6´ - 0.3´ + 91°31.3´

∑360°01.6’ 360°00.0´

Error Angular=360°01.6´ - 360°00’
Error Angular =00°01.6’

Tolerancia=1’n
T=1’7
T=2.65’
E=1.6’<2.65’ oK

Compensación = Error/Numero de vérticesCompensación = 1.6’/7
Compensación = 0.1’ a cada estacion 0.2´ x 5 = 1.0´ y 0.3´ x 2= 0.6 ´

Distancias (m)
1 - 52.48
2 - 11.00
3 - 41.95
4 - 31.84
5 - 47.51
6 - 44.34
7 - 25.33+
∑= 254.45 m

Proyecciones
N-S = Distancia × Cos (Rumbo)
E-W = Distancia × Sen (Rumbo)

Est. #1-2
Rumbo = S 88°06.8´E
ProyS = 52.48Cos (88°06.8´) = 01.73 m
ProyE = 52.48Cos(88°06.8´) = 52.44 m

Est. #2-3
Rumbo = S 76°31.0´ E
ProyS = 11.00Cos (76°31.0´) = 02.56 m
ProyE = 11.00Sen (76°31.0´) = 10.70 m

Est. #3-4
Rumbo = S 84°38.2´ E
ProyS = 41.95Cos (84°38.2´) = 03.92 mProyE = 41.95Sen (84°38.2´) = 41.77 m

Est. #4-5
Rumbo = S 29°23.3´ W
ProyN = 31.84Cos (29°23.3´) = 27.74
ProyE = 31.84Sen (29°23.3´) = 15.62

Est. #5-6
Rumbo = N 79°16.2´ W
ProyN =47.51Cos (79°16.2´) = 08.85
ProyW = 47.51Sen (79°16.2´) = 46.69

Est. #6-7
Rumbo = N 87°41.0´ W
ProyS = 44.34Cos (87°41.0´) = 01.79
ProyW = 44.34Sen (87°41.0´) = 44.30

Est. #7-1
Rumbo = N 03°50.3´E
ProyS = 25.33Cos (03°50.3´) = 25.27
ProyW = 25.33Sen (03°50.3´) = 01.70

ERROR EN X Y ¨Y¨
Ey = ∑ProyN - ∑ProyS
Ey = 35.91 – 35.93
Ey = -0.02


Ex =∑ProyE - ∑ProyW
Ex = 106.62 –106.60
Ex = 0.02

ET = (Ex)2+(Ey)2
ET = (-0.04)2+(0.02)2
ET = 0.04 m

Precisión = 1LTET
LT = Distancia total de la poligonal
ET = Error lineal total

P = 1254.450.04...