Coordenadas Vias

PUNTO | DISTANCIA | DEFLEXION | AZIMUT |
Δ1 | | | 15° 15’ |
| 490.874 | | |
Δ2 | | 92° 39’ 40’’ I | 282° 35’ 20’’ |
| 455.868 | | |
Δ3 | | 63° 52’ 10’’ D | 346° 27’ 30’’ |
|481.312 | | |
Δ4 | | 100° 8’ 40’’ D | 86° 36’ 10’’ |
| 340.827 | | |
Δ5 | | | |

Coordenadas Δ1 (61015.000 , 61015.000)

Calculo de coordenadas de los Deltas:

Δ2 : N = 61015.000 +490.874*Cos (15° 15’) = 61488.589
E = 61015.000 + 490.874*Sen (15° 15’) = 61144.115

Δ3 : N = 61488.589 + 455.868*Cos (360°-282° 35’ 20’’) = 61587.947
E = 61144.115 - 455.868*Sen (360°-282°35’ 20’’) = 60699.207

Δ4 : N = 61587.947 + 481.312*Cos (360°-346° 27’ 30’’) = 62055.878
E = 60699.207 - 481.312*Sen (360°-346° 27’ 30’’) = 60586.507

Δ5 : N = 62055.878 + 340.827*Sen (90°-86° 36’10’’) = 62076.075
E = 60586.507 + 340.827*Cos (90°-86° 36’ 10’’) = 60926.735

CURVA 1 E-C-E SIMETRICA
Azentrada = 15°15’ Azsalida = 282°35’20’ Δ = 92° 39’ 40’’ I R = 150 m
Leentrada =Lesalida = 80 m

Θe = Le2*R = 4/15 rad = 15°16’44’’
Δc = Δ-2 Θe = 1.0839 rad = 62°6’12’’
Xe = Le(1-Θe210+Θe4216-Θe69360+Θe8685440) = 79.433 m
Ye = Le(Θe3-Θe342+Θe51320-Θe775600) = 7.075 m
Xm = Xe –R*Sen (Θe) = 39.905 m
ΔR = Ye +R*(Cos (Θe)-1) = 1.773 m
Ym = R + ΔR = 151.773 m
Lc = Δc*R = 162.586 m

Te = (R+ΔR)*Tan (Δ/2)+ Xm = 198.892 m
Ee = (R+ΔR)*Sec (Δ/2)- R = 69.803 m

TE1: N =61488.589 + 198.892*Cos (15°15’ + 180°) = 61296.700
E = 61144.115 + 198.892*Sen (15°15’ + 180°) = 61091.800

ET1: N = 61488.589 + 198.892*Cos (282°35’20’) = 61531.938
E = 61144.115 + 198.892*Sen(282°35’20’) = 60950.005

d = Xe2+Ye2 = 79.747 m
Ø = Tan-1(Ye/Xe) = 5°5’23’’
Az(TE-EC) = Azentrada ± Ø = 10°9’37’’
Az(ET-CE) = C Azsalida ∓ Ø = 107°40’43’’

EC1: N = 61296.700 + 79.747*Cos(10°9’37’’) = 61375.196
E = 61091.800 + 79.747*Sen (10°9’37’’) = 61105.868

CE1: N = 61531.938 + 79.747*Cos (107°40’43’’) = 61507.721
E = 60950.005 + 79.747*Sen (107°40’43’’) = 61025.986...