Variados

ufeffCalculo de Coordenadas
Puntos:
A- N: 107300045 E: 46871932
1-N: 1073375 E: 469225
2-N: 1073225 E: 469825
3-N: 1072475 E: 469825
4-N: 1072211 E: 470875
B-N: 1072925 E: 470875

Calculo De Los N Y ∆E:
1. ∆N: 374,55 ∆E: 505,68
2. ∆N: 150∆E: 600
3. ∆N: 750 ∆E: 0
4. ∆N:264∆E: 105
5. ∆N: 714∆E:759,9

Calculo De Las Distancias:
Dist. =+)
Dist. (1)= 2 + (505, 68)2 = 629,28mts
Dist. (2)= 2 + (600)2 = 618,46mts
Dist. (3) = (750)2 + (0)2 =750mts
Dist. (4) = (264)2 + (105)2 =1082, 68mts
Dist. (5) = (714)2 + (759, 9)2 =1042, 70mts

Distancia TOTAL= 4.123, 12mtsCalculo de los Rumbos
R= Arctg
R(A-1) = Arctg = 53°28’23,44’’ N-E
R(1-2) = Arctg = 75°57’49.52’’ S-E
R(2-3) = Arctg = 0° SUR FRANCO
R(3-4) = Arctg = 75°53’12,29’’ S-E
R(4-5)= Arctg = 46°47’14’’ N-E


CALCULOS DE LOS DEFLEXTIVOS
∆1= 180°- (RA1+ R1-2)180°- (53°28’23.44’’+75°57’49,52’’)
∆1= 50°33’47,04’’

∆2 = (R1-2+R2-3) (75°57’49.52’’+0°)
∆2 =75°57’49.52’’

∆3=(R2-3 + R3-4) (0° + 75°53’12.29’’)
∆3 = 75°53’12.29’’

∆4= 180° - (R3-4 + R4-5) (75°53’12,29’’ + 46°47’14’’)
∆4=57°19’33,71’’

CALCULO DE LA CURVA #1
Curva circular compuesta de 2 centros: R1>R2
Datos:
∆T= 50°33’47.04’’
∆1= 30°33’47,04’’
∆2= 20°
Rc1=250
Rc2=200
Cálculos de las tangentes:
T=Rcx tg (
T1=R1 x tg() =250 x tg
T1= 68,30mts

T2=R2tg() =100x tg()T2= 35,26
Tt=68.30mts +35.26mts=103.56mts

Lc1=
Lc1=
Lc1=133, 35mts


Lc2=
Lc2=
Lc2=69, 81 mts

Lct=Lc1+Lc2= 133,35mts +69,81mts =203,16mts

TC=
TC=
TC=103,45

TL

TL=
TL=114, 17








Calculo de la Curva #2
Simétrica Clotoide Espiral Círculo Espiral
Datos:
∆₌ 75°57’49,52’’
Rc₌ 200
Vp= 80
e=10% 0,1
a=3,6

SMIRNOFF
Le
Lemts.
BARNETT
Le ≥
Le =91.43mts.
COVENIN
Le ≥30

TRANSICIÓN
Le a x e x (1,5625x Vp+75)
Le 3,6x 0,1 x (1,5625x 80+75)
Le 72 mts.
ESTÉTICA
Le
Le
Le22,22mts.

Le= 100mts.

e=
e=
e=0,25 radianes


0,25 X
X= = 14°19’26,2’’

∆= ∆c+2e
∆c= ∆-2e
∆c= 75°57’49,52’’- 2 (14°19’26,2’’)
∆c= 47°18’57,12’’



Lc=
Lc=
Lc=165,16mts.
Lt= 100+165,16+100= 365,16

Xc= Le1 x (1-
Xc=100 x (1-
Xc=99,37mts.Yc= Le1 (
Yc= 100 (
Yc=8,29mts.

K= Xc – RcX sen e
K= 99,37 – 200 x sen 14°19’26,2’’
K=49,88mts.
P=Yc – Rc (1-cose)
P=8,29 – 200 (1-cos 14°19’26,2’’)
P=2,07mts.
Te= K+(Rc+P)x tg (
Te=49,88 (200 +2,07) tg (
Te= 207,65 mts.


Calculo de la Curva #3
Clotoide Asimétrica
Datos:
∆3₌ 75°57’49,52’’
Rc₌ 200
Vp= 80
e=10% 0,1
a=3,6

SMIRNOFF
Le
Lemts.
Le 81,26mts.
BARNETTLe ≥
Le = 91.43mts.
COVENIN
Le ≥30
TRANSICIÓN
Le a x e x (1,5625x Vp+75)
Le 3,6x 0,1 x (1,5625x 80+75)
Le 72 mts.

ESTÉTICA
Le
Le
Le22,22mts.
Le= 100mts.

e=
e1=
e1=0,25 radianes


0,25 X
X= = 14°19’26,2’’

e2=
e2=0,375 radianes

0,375 X
X= = 21°29’9,3’’




∆t= ∆c+e1+e2
∆c= ∆t -e1-e2
∆c=75°57’49,52’’ - 14°19’26,2’’ - 21°29’9,3’’
∆c= 40°4’36,79’’Lc=
Lc=
Lc=139,89mts.
Lt= 100+139,89+150= 389,89 mts.

Xc= Le1 (1-
Xc1=100 (1-
Xc1=99,37mts.

Yc= Le1 (
Yc1= 100 (
Yc1=8,29mts.

K= Xc – RcX sen e1
K1= 99,37 – 200 x sen 14°19’26,2’’
K=49,88mts.

P=Yc – Rc (1-cose1)
P1=8,29 – 200 (1-cos 14°19’26,2’’)
P1=2,07mts.
Te= K+(Rc+P)x tg (
Te1=49,88 +(200 +2,07) tg (
Te1=207,65mts.

Xc2= Le2 (1-
Xc2=150 (1-
Xc2=147,90mts.Yc2= Le2 (
Yc2= 150 (
Yc2=18,56mts.

P2= Yc2 – Rc2 (1-cose2)
P2=18,56 – 200 (1-cos21°29’9,3’’)
P2=4,66mts.




Te= K+(Rc+P)x tg (
Te2=74,65 + (200 +4,66) tg (
Te2=234,22mts.

Calculo de la Curva #4

3 centro – Caso general
Datos:
∆t₌ 57°19’33,71’’
Rc1₌ 230
Rc2 = 200
Rc3= 260
∆1= 20°
∆2= 15°
∆3 = 22°19’33,71’’

Lc=
Lc1=
Lc1=80,28mts.

Lc2=
Lc2=52,35mts....