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Page 1: Calculo Curvas Espirales La Moya 3

C H. DER. Nº 1CALCULO DE LOS ELEMENTOS ESPIRAL CURVA ESPIRAL

DATOS DE DISEÑO

V(Diseño)= 25 Km/hRc= 20 mα= 92.2475 ˚PI= 0+024.055 m.A= 20n= 2

ANCH0 VIA= 6 m.

REQUERIMIENTO DE UTILIZACION DE CURVAS DE TRANSICIÓN:

0.098xV^261.25SI NECESITA CURVAS DE TRANSICIÓN

CALCULOS

Le(min)= (0.036xV^3)/RLe(min)= 28.125

A= (Le*R)^0.5Le= (A^2)/R

RMT=

RMT=

RMT>Rc

Page 2: Calculo Curvas Espirales La Moya 3

Le= 20Le>Le(min) CORREGIR A

δe= Le/2Rδe= 0.5θe=θe= 28.64788976θe=θe= 28.64788976Ae= (θe/3)-θex8.3x10^(-7)Ae= 9.549272808

B= θe-AeB= 19.09861695

Xe= Lex(1-((δe^2)/10)+((δe^4)/216)+((δe^6)/9360)+((δe^8)/685440))Xe= 19.50582054Ye= Lex(((δe^2)/3)+((δe^3)/42)+((δe^5)/1320)+((δe^7)/75600))Ye= 3.274280942

u=u= 13.51228948v=v= 6.829592248

P=P= 0.82593218K=K= 9.917309766

CURAVAS SIMETRICAS

Te=Te= 31.57661766αc= α-2θeαc= 34.95172049Lc= πxRx(αc/180)Lc= 12.20045203

Lc+2Le52.20045203

πxRx(α/180)+Le52.20045203

TE= PI-TeTE= -0+007.522EC= TE+LeEC= 0+012.478CE= EC+LeCE= 0+024.679ET= CE+LeET= 0+044.679ET= TE+LTET= 0+044.679

S= n(R-(R^2-L^2)^0.5)+(V/10x(R^0.5)

180xδe/π

90xLe/πxR

Xe-(Ye/Tanθe)

Ye/(Senθe)

Ye-r(1-Cosθe)

Xe-R(Senθe)

(R+P)*Tg(α/2)+K

LT=LT=LT=LT=

Page 3: Calculo Curvas Espirales La Moya 3

S= 2.339126885 m/mP= (V^2/(127xR))-fP= 0.166062992 m/mP= 16.60629921 %

Page 4: Calculo Curvas Espirales La Moya 3

C H. IZQ. Nº 2CALCULO DE LOS ELEMENTOS CURVA CIRCULAR

DATOS DE DISEÑO

V(Diseño)= 50 Km/hα= 28.538889 ˚PI= 0+085.120 m.

f= 0.315e= 0.04

l(Cons C)= 23n= 2

ANCH0 VIA= 6 m.

CALCULOS

R(min)= V^2/(127x(e+f)R(min)= 55.450815127

R(asum)= 62R(asum)>R(min) Ok

Lc= πxRxα/180Lc= 30.8820497103

T= RxTan(α/2)T= 15.7683940565

E= Rx(Sec(α/2)-1)E= 1.97376220859

M= R-RxCos(α/2)

Page 5: Calculo Curvas Espirales La Moya 3

M= 1.91286634875959

Gc=Gc= 18.4825095203

Gc*l/20

21.2548859484

C=C= 22.86834366

CL=CL= 30.5637935851

θ/2

10.6274429742

Gc*l/40

10.6274429742

PC= PI-TPC= 0+069.352PT= PC+LcPT= 0+100.234

S= n(R-(R^2-L^2)^0.5)+(V/10x(R^0.5)S= 1.19772911623P= (V^2/(127xR))-fP= 0.192500635 m/mP= 19.2500635001 %

360/(πxR)

θ=θ=

2xRxSen(θ/2)

2xRxSen(α/2)

ø=ø=ø=ø=

Page 6: Calculo Curvas Espirales La Moya 3

C H. DER. Nº 3CALCULO DE LOS ELEMENTOS CURVA CIRCULAR

DATOS DE DISEÑO

V(Diseño)= 50 Km/hα= 16.513333 ˚PI= 0+138.578 m.

f= 0.315e= 0.04

l(Cons C)= 23n= 2

ANCH0 VIA= 6 m.

CALCULOS

R(min)= V^2/(127x(e+f)R(min)= 55.450815127

R(asum)= 130R(asum)>R(min) Ok

Lc= πxRxα/180Lc= 37.467564829

T= RxTan(α/2)T= 18.8645473792

E= Rx(Sec(α/2)-1)E= 1.3616045419

M= R-RxCos(α/2)

Page 7: Calculo Curvas Espirales La Moya 3

M= 1.34749108054893

Gc=Gc= 8.8147353097

Gc*l/20

10.1369456062

C=C= 22.9700142005

CL=CL= 37.3380207687

θ/2

5.06847280308

Gc*l/40

5.06847280308

PC= PI-TPC= 0+119.713PT= PC+LcPT= 0+157.181

S= n(R-(R^2-L^2)^0.5)+(V/10x(R^0.5)S= 0.70643626792P= (V^2/(127xR))-fP= 0.02642337977 m/mP= 2.64233797698 %

360/(πxR)

θ=θ=

2xRxSen(θ/2)

2xRxSen(α/2)

ø=ø=ø=ø=

Page 8: Calculo Curvas Espirales La Moya 3

C H. IZQ. Nº 4CALCULO DE LOS ELEMENTOS CURVA CIRCULAR

DATOS DE DISEÑO

V(Diseño)= 50 Km/hα= 17.961667 ˚PI= 0+191.855 m.

f= 0.315e= 0.04

l(Cons C)= 23n= 2

ANCH0 VIA= 6 m.

CALCULOS

R(min)= V^2/(127x(e+f)R(min)= 55.450815127

R(asum)= 108.415R(asum)>R(min) Ok

Lc= πxRxα/180Lc= 33.9870424701

T= RxTan(α/2)T= 17.13407414

E= Rx(Sec(α/2)-1)E= 1.34559730903

M= R-RxCos(α/2)

Page 9: Calculo Curvas Espirales La Moya 3

M= 1.32910111492497

Gc=Gc= 10.5697144331

Gc*l/20

12.155171598

C=C= 22.9568928622

CL=CL= 33.8480418917

θ/2

6.07758579902

Gc*l/40

6.07758579902

PC= PI-TPC= 0+174.721PT= PC+LcPT= 0+208.708

S= n(R-(R^2-L^2)^0.5)+(V/10x(R^0.5)S= 0.80152260742P= (V^2/(127xR))-fP= 0.05657117899 m/mP= 5.65711789889 %

360/(πxR)

θ=θ=

2xRxSen(θ/2)

2xRxSen(α/2)

ø=ø=ø=ø=

Page 10: Calculo Curvas Espirales La Moya 3

C H. DER. Nº 5CALCULO DE LOS ELEMENTOS CURVA CIRCULAR

DATOS DE DISEÑO

V(Diseño)= 50 Km/hα= 31.368333 ˚PI= 0+245.647 m.

f= 0.315e= 0.04

l(Cons C)= 23n= 2

ANCH0 VIA= 6 m.

CALCULOS

R(min)= V^2/(127x(e+f)R(min)= 55.450815127

R(asum)= 122.593R(asum)>R(min) Ok

Lc= πxRxα/180Lc= 67.1173011523

T= RxTan(α/2)T= 34.4227865351

E= Rx(Sec(α/2)-1)E= 4.74109551979

M= R-RxCos(α/2)

Page 11: Calculo Curvas Espirales La Moya 3

M= 4.56456788486173

Gc=Gc= 9.34731665154

Gc*l/20

10.7494141493

C=C= 22.9662829293

CL=CL= 66.2822106283

θ/2

5.37470707463

Gc*l/40

5.37470707463

PC= PI-TPC= 0+211.224PT= PC+LcPT= 0+278.342

S= n(R-(R^2-L^2)^0.5)+(V/10x(R^0.5)S= 0.73569487309P= (V^2/(127xR))-fP= 0.03557229507 m/mP= 3.55722950746 %

360/(πxR)

θ=θ=

2xRxSen(θ/2)

2xRxSen(α/2)

ø=ø=ø=ø=

Page 12: Calculo Curvas Espirales La Moya 3

C H. IZQ. Nº 6CALCULO DE LOS ELEMENTOS CURVA CIRCULAR

DATOS DE DISEÑO

V(Diseño)= 50 Km/hα= 21.785000 ˚PI= 0+331.590 m.

f= 0.315e= 0.04

l(Cons C)= 23n= 2

ANCH0 VIA= 6 m.

CALCULOS

R(min)= V^2/(127x(e+f)R(min)= 55.450815127

R(asum)= 78.429R(asum)>R(min) Ok

Lc= πxRxα/180Lc= 29.820272619

T= RxTan(α/2)T= 15.092398099

E= Rx(Sec(α/2)-1)E= 1.43894426664

M= R-RxCos(α/2)

Page 13: Calculo Curvas Espirales La Moya 3

M= 1.41301946512857

Gc=Gc= 14.6108657545

Gc*l/20

16.8024956177

C=C= 22.9176711539

CL=CL= 29.640970514

θ/2

8.40124780885

Gc*l/40

8.40124780885

PC= PI-TPC= 0+316.498PT= PC+LcPT= 0+346.318

S= n(R-(R^2-L^2)^0.5)+(V/10x(R^0.5)S= 1.00905867811P= (V^2/(127xR))-fP= 0.12599184447 m/mP= 12.5991844472 %

360/(πxR)

θ=θ=

2xRxSen(θ/2)

2xRxSen(α/2)

ø=ø=ø=ø=

Page 14: Calculo Curvas Espirales La Moya 3

C H. DER. Nº 7CALCULO DE LOS ELEMENTOS ESPIRAL CURVA ESPIRAL

DATOS DE DISEÑO

V(Diseño)= 25 Km/hRc= 35 mα= 33.39777778 ˚PI= 0+431.103 m.A= 24n= 2

ANCH0 VIA= 6 m.

REQUERIMIENTO DE UTILIZACION DE CURVAS DE TRANSICIÓN:

0.098xV^261.25SI NECESITA CURVAS DE TRANSICIÓN

CALCULOS

Le(min)= (0.036xV^3)/RLe(min)= 16.07142857

A= (Le*R)^0.5Le= (A^2)/R

RMT=

RMT=

RMT>Rc

Page 15: Calculo Curvas Espirales La Moya 3

Le= 16.45714286Le>Le(min) Ok

δe= Le/2Rδe= 0.235102041θe=θe= 13.47035469θe=θe= 13.47035469Ae= (θe/3)-θex8.3x10^(-7)Ae= 4.490107051

B= θe-AeB= 8.980247643

Xe= Lex(1-((δe^2)/10)+((δe^4)/216)+((δe^6)/9360)+((δe^8)/685440))Xe= 16.36641241Ye= Lex(((δe^2)/3)+((δe^3)/42)+((δe^5)/1320)+((δe^7)/75600))Ye= 1.284619735

u=u= 11.00336322v=v= 5.514756974

P=P= 0.321789922K=K= 8.213434692

CURAVAS SIMETRICAS

Te=Te= 18.80973289αc= α-2θeαc= 6.45706839Lc= πxRx(αc/180)Lc= 3.94439862

Lc+2Le36.85868433

πxRx(α/180)+Le36.85868433

TE= PI-TeTE= 0+412.293EC= TE+LeEC= 0+428.750CE= EC+LeCE= 0+432.695ET= CE+LeET= 0+449.152ET= TE+LTET= 0+449.152

S= n(R-(R^2-L^2)^0.5)+(V/10x(R^0.5)

180xδe/π

90xLe/πxR

Xe-(Ye/Tanθe)

Ye/(Senθe)

Ye-r(1-Cosθe)

Xe-R(Senθe)

(R+P)*Tg(α/2)+K

LT=LT=LT=LT=

Page 16: Calculo Curvas Espirales La Moya 3

S= 1.42431628 m/mP= (V^2/(127xR))-fP= 0.060607424 m/mP= 6.060742407 %

Page 17: Calculo Curvas Espirales La Moya 3

C H. IZQ. Nº 8CALCULO DE LOS ELEMENTOS ESPIRAL CURVA ESPIRAL

DATOS DE DISEÑO

V(Diseño)= 25 Km/hRc= 15 mα= 120.7066667 ˚PI= 0+493.971 m.A= 20n= 2

ANCH0 VIA= 6 m.

REQUERIMIENTO DE UTILIZACION DE CURVAS DE TRANSICIÓN:

0.098xV^261.25SI NECESITA CURVAS DE TRANSICIÓN

CALCULOS

Le(min)= (0.036xV^3)/RLe(min)= 37.5

A= (Le*R)^0.5Le= (A^2)/R

RMT=

RMT=

RMT>Rc

Page 18: Calculo Curvas Espirales La Moya 3

Le= 26.66666667Le>Le(min) CORREGIR A

δe= Le/2Rδe= 0.888888889θe=θe= 50.92958179θe=θe= 50.92958179Ae= (θe/3)-θex8.3x10^(-7)Ae= 16.97648499

B= θe-AeB= 33.9530968

Xe= Lex(1-((δe^2)/10)+((δe^4)/216)+((δe^6)/9360)+((δe^8)/685440))Xe= 24.63816474Ye= Lex(((δe^2)/3)+((δe^3)/42)+((δe^5)/1320)+((δe^7)/75600))Ye= 7.466365538

u=u= 18.5768122v=v= 9.616995841

P=P= 1.920491302K=K= 12.99258592

CURAVAS SIMETRICAS

Te=Te= 42.72163144αc= α-2θeαc= 18.84750309Lc= πxRx(αc/180)Lc= 4.93426477

Lc+2Le58.2675981

πxRx(α/180)+Le58.2675981

TE= PI-TeTE= 0+451.249EC= TE+LeEC= 0+477.916CE= EC+LeCE= 0+482.850ET= CE+LeET= 0+509.517ET= TE+LTET= 0+509.517

S= n(R-(R^2-L^2)^0.5)+(V/10x(R^0.5)

180xδe/π

90xLe/πxR

Xe-(Ye/Tanθe)

Ye/(Senθe)

Ye-r(1-Cosθe)

Xe-R(Senθe)

(R+P)*Tg(α/2)+K

LT=LT=LT=LT=

Page 19: Calculo Curvas Espirales La Moya 3

S= 3.063619116 m/mP= (V^2/(127xR))-fP= 0.24808399 m/mP= 24.80839895 %

Page 20: Calculo Curvas Espirales La Moya 3

C H. DER. Nº 9CALCULO DE LOS ELEMENTOS ESPIRAL CURVA ESPIRAL

DATOS DE DISEÑO

V(Diseño)= 25 Km/hRc= 55 mα= 65.00416667 ˚PI= 0+624.016 m.A= 25n= 2

ANCH0 VIA= 6 m.

REQUERIMIENTO DE UTILIZACION DE CURVAS DE TRANSICIÓN:

0.098xV^261.25SI NECESITA CURVAS DE TRANSICIÓN

CALCULOS

Le(min)= (0.036xV^3)/RLe(min)= 10.22727273

A= (Le*R)^0.5Le= (A^2)/R

RMT=

RMT=

RMT>Rc

Page 21: Calculo Curvas Espirales La Moya 3

Le= 11.36363636Le>Le(min) Ok

δe= Le/2Rδe= 0.103305785θe=θe= 5.918985487θe=θe= 5.918985487Ae= (θe/3)-θex8.3x10^(-7)Ae= 1.97299025

B= θe-AeB= 3.945995237

Xe= Lex(1-((δe^2)/10)+((δe^4)/216)+((δe^6)/9360)+((δe^8)/685440))Xe= 11.35151499Ye= Lex(((δe^2)/3)+((δe^3)/42)+((δe^5)/1320)+((δe^7)/75600))Ye= 0.391011601

u=u= 7.579996864v=v= 3.791732984

P=P= 0.09779017K=K= 5.679797556

CURAVAS SIMETRICAS

Te=Te= 40.78377769αc= α-2θeαc= 53.16619569Lc= πxRx(αc/180)Lc= 51.03588411

Lc+2Le73.76315684

πxRx(α/180)+Le73.76315684

TE= PI-TeTE= 0+583.232EC= TE+LeEC= 0+594.596CE= EC+LeCE= 0+645.632ET= CE+LeET= 0+656.995ET= TE+LTET= 0+656.995

S= n(R-(R^2-L^2)^0.5)+(V/10x(R^0.5)

180xδe/π

90xLe/πxR

Xe-(Ye/Tanθe)

Ye/(Senθe)

Ye-r(1-Cosθe)

Xe-R(Senθe)

(R+P)*Tg(α/2)+K

LT=LT=LT=LT=

Page 22: Calculo Curvas Espirales La Moya 3

S= 0.971840365 m/mP= (V^2/(127xR))-fP= 0.009477452 m/mP= 0.947745168 %

Page 23: Calculo Curvas Espirales La Moya 3

C H. IZQ. Nº 10CALCULO DE LOS ELEMENTOS ESPIRAL CURVA ESPIRAL

DATOS DE DISEÑO

V(Diseño)= 25 Km/hRc= 25 mα= 81.04861111 ˚PI= 0+696.391 m.A= 25n= 2

ANCH0 VIA= 6 m.

REQUERIMIENTO DE UTILIZACION DE CURVAS DE TRANSICIÓN:

0.098xV^261.25SI NECESITA CURVAS DE TRANSICIÓN

CALCULOS

Le(min)= (0.036xV^3)/RLe(min)= 22.5

A= (Le*R)^0.5Le= (A^2)/R

RMT=

RMT=

RMT>Rc

Page 24: Calculo Curvas Espirales La Moya 3

Le= 25Le>Le(min) Ok

δe= Le/2Rδe= 0.5θe=θe= 28.64788976θe=θe= 28.64788976Ae= (θe/3)-θex8.3x10^(-7)Ae= 9.549272808

B= θe-AeB= 19.09861695

Xe= Lex(1-((δe^2)/10)+((δe^4)/216)+((δe^6)/9360)+((δe^8)/685440))Xe= 24.38227567Ye= Lex(((δe^2)/3)+((δe^3)/42)+((δe^5)/1320)+((δe^7)/75600))Ye= 4.092851177

u=u= 16.89036185v=v= 8.53699031

P=P= 1.032415225K=K= 12.39663721

CURAVAS SIMETRICAS

Te=Te= 34.64952598αc= α-2θeαc= 23.7528316Lc= πxRx(αc/180)Lc= 10.36412795

Lc+2Le60.36412795

πxRx(α/180)+Le60.36412795

TE= PI-TeTE= 0+661.741EC= TE+LeEC= 0+686.741CE= EC+LeCE= 0+697.106ET= CE+LeET= 0+722.106ET= TE+LTET= 0+722.106

S= n(R-(R^2-L^2)^0.5)+(V/10x(R^0.5)

180xδe/π

90xLe/πxR

Xe-(Ye/Tanθe)

Ye/(Senθe)

Ye-r(1-Cosθe)

Xe-R(Senθe)

(R+P)*Tg(α/2)+K

LT=LT=LT=LT=

Page 25: Calculo Curvas Espirales La Moya 3

S= 1.912347247 m/mP= (V^2/(127xR))-fP= 0.116850394 m/mP= 11.68503937 %

Page 26: Calculo Curvas Espirales La Moya 3

C H. DER. Nº11CALCULO DE LOS ELEMENTOS CURVA CIRCULAR

DATOS DE DISEÑO

V(Diseño)= 50 Km/hα= 24.636111 ˚PI= 0+826.856 m.

f= 0.315e= 0.04

l(Cons C)= 23n= 2

ANCH0 VIA= 6 m.

CALCULOS

R(min)= V^2/(127x(e+f)R(min)= 55.450815127

R(asum)= 268.965R(asum)>R(min) Ok

Lc= πxRxα/180Lc= 115.649907922

T= RxTan(α/2)T= 58.7326479413

E= Rx(Sec(α/2)-1)E= 6.3379152755

M= R-RxCos(α/2)

Page 27: Calculo Curvas Espirales La Moya 3

M= 6.19200628649355

Gc=Gc= 4.26046359289

Gc*l/20

4.89953313182

C=C= 22.9929928562

CL=CL= 114.761056109

θ/2

2.44976656591

Gc*l/40

2.44976656591

PC= PI-TPC= 0+768.123PT= PC+LcPT= 0+883.773

S= n(R-(R^2-L^2)^0.5)+(V/10x(R^0.5)S= 0.43431283147P= (V^2/(127xR))-fP= -0.0518118924 m/mP= -5.1811892365 %

360/(πxR)

θ=θ=

2xRxSen(θ/2)

2xRxSen(α/2)

ø=ø=ø=ø=

Page 28: Calculo Curvas Espirales La Moya 3

C H. IZQ. Nº12CALCULO DE LOS ELEMENTOS CURVA CIRCULAR

DATOS DE DISEÑO

V(Diseño)= 50 Km/hα= 4.145000 ˚PI= 0+979.137 m.

f= 0.315e= 0.04

l(Cons C)= 23n= 2

ANCH0 VIA= 6 m.

CALCULOS

R(min)= V^2/(127x(e+f)R(min)= 55.450815127

R(asum)= 691.164R(asum)>R(min) Ok

Lc= πxRxα/180Lc= 50.0014975683

T= RxTan(α/2)T= 25.011658236

E= Rx(Sec(α/2)-1)E= 0.45240953907

M= R-RxCos(α/2)

Page 29: Calculo Curvas Espirales La Moya 3

M= 0.452113602785744

Gc=Gc= 1.65795034212

Gc*l/20

1.90664289344

C=C= 22.9989387834

CL=CL= 49.9905945394

θ/2

0.95332144672

Gc*l/40

0.95332144672

PC= PI-TPC= 0+954.125PT= PC+LcPT= 1+004.127

S= n(R-(R^2-L^2)^0.5)+(V/10x(R^0.5)S= 0.2405516269P= (V^2/(127xR))-fP= -0.0965190036 m/mP= -9.6519003637 %

360/(πxR)

θ=θ=

2xRxSen(θ/2)

2xRxSen(α/2)

ø=ø=ø=ø=

Page 30: Calculo Curvas Espirales La Moya 3

C H. DER. Nº13CALCULO DE LOS ELEMENTOS CURVA CIRCULAR

DATOS DE DISEÑO

V(Diseño)= 50 Km/hα= 7.918889 ˚PI= 1+022.970 m.

f= 0.315e= 0.04

l(Cons C)= 23n= 2

ANCH0 VIA= 6 m.

CALCULOS

R(min)= V^2/(127x(e+f)R(min)= 55.450815127

R(asum)= 217.057R(asum)>R(min) Ok

Lc= πxRxα/180Lc= 29.9995964827

T= RxTan(α/2)T= 15.0237213612

E= Rx(Sec(α/2)-1)E= 0.51931638701

M= R-RxCos(α/2)

Page 31: Calculo Curvas Espirales La Moya 3

M= 0.518076870157614

Gc=Gc= 5.27933026929

Gc*l/20

6.07122980969

C=C= 22.9892412028

CL=CL= 29.9757247631

θ/2

3.03561490484

Gc*l/40

3.03561490484

PC= PI-TPC= 1+007.946PT= PC+LcPT= 1+037.946

S= n(R-(R^2-L^2)^0.5)+(V/10x(R^0.5)S= 0.49977980175P= (V^2/(127xR))-fP= -0.0343093548 m/mP= -3.4309354823 %

360/(πxR)

θ=θ=

2xRxSen(θ/2)

2xRxSen(α/2)

ø=ø=ø=ø=

Page 32: Calculo Curvas Espirales La Moya 3

C H. DER. Nº 14CALCULO DE LOS ELEMENTOS ESPIRAL CURVA ESPIRAL

DATOS DE DISEÑO

V(Diseño)= 25 Km/hRc= 15 mα= 108.1933333 ˚PI= 1+082.342 m.A= 15n= 2

ANCH0 VIA= 6 m.

REQUERIMIENTO DE UTILIZACION DE CURVAS DE TRANSICIÓN:

0.098xV^261.25SI NECESITA CURVAS DE TRANSICIÓN

CALCULOS

Le(min)= (0.036xV^3)/RLe(min)= 37.5

A= (Le*R)^0.5Le= (A^2)/R

RMT=

RMT=

RMT>Rc

Page 33: Calculo Curvas Espirales La Moya 3

Le= 15Le>Le(min) CORREGIR A

δe= Le/2Rδe= 0.5θe=θe= 28.64788976θe=θe= 28.64788976Ae= (θe/3)-θex8.3x10^(-7)Ae= 9.549272808

B= θe-AeB= 19.09861695

Xe= Lex(1-((δe^2)/10)+((δe^4)/216)+((δe^6)/9360)+((δe^8)/685440))Xe= 14.6293654Ye= Lex(((δe^2)/3)+((δe^3)/42)+((δe^5)/1320)+((δe^7)/75600))Ye= 2.455710706

u=u= 10.13421711v=v= 5.122194186

P=P= 0.619449135K=K= 7.437982324

CURAVAS SIMETRICAS

Te=Te= 29.01276237αc= α-2θeαc= 50.89755382Lc= πxRx(αc/180)Lc= 13.32494843

Lc+2Le43.32494843

πxRx(α/180)+Le43.32494843

TE= PI-TeTE= 1+053.329EC= TE+LeEC= 1+068.329CE= EC+LeCE= 1+081.654ET= CE+LeET= 1+096.654ET= TE+LTET= 1+096.654

S= n(R-(R^2-L^2)^0.5)+(V/10x(R^0.5)

180xδe/π

90xLe/πxR

Xe-(Ye/Tanθe)

Ye/(Senθe)

Ye-r(1-Cosθe)

Xe-R(Senθe)

(R+P)*Tg(α/2)+K

LT=LT=LT=LT=

Page 34: Calculo Curvas Espirales La Moya 3

S= 3.063619116 m/mP= (V^2/(127xR))-fP= 0.24808399 m/mP= 24.80839895 %

Page 35: Calculo Curvas Espirales La Moya 3

C H. IZQ. Nº15CALCULO DE LOS ELEMENTOS CURVA CIRCULAR

DATOS DE DISEÑO

V(Diseño)= 50 Km/hα= 48.168889 ˚PI= 1+155.097 m.

f= 0.315e= 0.04

l(Cons C)= 23n= 2

ANCH0 VIA= 6 m.

CALCULOS

R(min)= V^2/(127x(e+f)R(min)= 55.450815127

R(asum)= 62R(asum)>R(min) Ok

Lc= πxRxα/180Lc= 52.1237539046

T= RxTan(α/2)T= 27.7137418142

E= Rx(Sec(α/2)-1)E= 5.91208644524

M= R-RxCos(α/2)

Page 36: Calculo Curvas Espirales La Moya 3

M= 5.39740978066597

Gc=Gc= 18.4825095203

Gc*l/20

21.2548859484

C=C= 22.86834366

CL=CL= 50.6022442373

θ/2

10.6274429742

Gc*l/40

10.6274429742

PC= PI-TPC= 1+127.383PT= PC+LcPT= 1+179.507

S= n(R-(R^2-L^2)^0.5)+(V/10x(R^0.5)S= 1.19772911623P= (V^2/(127xR))-fP= 0.192500635 m/mP= 19.2500635001 %

360/(πxR)

θ=θ=

2xRxSen(θ/2)

2xRxSen(α/2)

ø=ø=ø=ø=

Page 37: Calculo Curvas Espirales La Moya 3

C H. DER. Nº 16CALCULO DE LOS ELEMENTOS ESPIRAL CURVA ESPIRAL

DATOS DE DISEÑO

V(Diseño)= 25 Km/hRc= 30 mα= 60.46694444 ˚PI= 1+248.811 m.A= 25n= 2

ANCH0 VIA= 6 m.

REQUERIMIENTO DE UTILIZACION DE CURVAS DE TRANSICIÓN:

0.098xV^261.25SI NECESITA CURVAS DE TRANSICIÓN

CALCULOS

Le(min)= (0.036xV^3)/RLe(min)= 18.75

A= (Le*R)^0.5Le= (A^2)/R

RMT=

RMT=

RMT>Rc

Page 38: Calculo Curvas Espirales La Moya 3

Le= 20.83333333Le>Le(min) Ok

δe= Le/2Rδe= 0.347222222θe=θe= 19.89436789θe=θe= 19.89436789Ae= (θe/3)-θex8.3x10^(-7)Ae= 6.63143945

B= θe-AeB= 13.26292844

Xe= Lex(1-((δe^2)/10)+((δe^4)/216)+((δe^6)/9360)+((δe^8)/685440))Xe= 20.58356572Ye= Lex(((δe^2)/3)+((δe^3)/42)+((δe^5)/1320)+((δe^7)/75600))Ye= 2.390579918

u=u= 13.97763278v=v= 7.025184858

P=P= 0.60022736K=K= 10.37495214

CURAVAS SIMETRICAS

Te=Te= 28.20865011αc= α-2θeαc= 20.67820867Lc= πxRx(αc/180)Lc= 10.82708474

Lc+2Le52.49375141

πxRx(α/180)+Le52.49375141

TE= PI-TeTE= 1+220.602EC= TE+LeEC= 1+241.436CE= EC+LeCE= 1+252.263ET= CE+LeET= 1+273.096ET= TE+LTET= 1+273.096

S= n(R-(R^2-L^2)^0.5)+(V/10x(R^0.5)

180xδe/π

90xLe/πxR

Xe-(Ye/Tanθe)

Ye/(Senθe)

Ye-r(1-Cosθe)

Xe-R(Senθe)

(R+P)*Tg(α/2)+K

LT=LT=LT=LT=

Page 39: Calculo Curvas Espirales La Moya 3

S= 1.628210946 m/mP= (V^2/(127xR))-fP= 0.084041995 m/mP= 8.404199475 %

Page 40: Calculo Curvas Espirales La Moya 3

C H. DER. Nº17CALCULO DE LOS ELEMENTOS CURVA CIRCULAR

DATOS DE DISEÑO

V(Diseño)= 50 Km/hα= 11.976944 ˚PI= 1+362.991 m.

f= 0.315e= 0.04

l(Cons C)= 23n= 2

ANCH0 VIA= 6 m.

CALCULOS

R(min)= V^2/(127x(e+f)R(min)= 55.450815127

R(asum)= 222.982R(asum)>R(min) Ok

Lc= πxRxα/180Lc= 46.6115139511

T= RxTan(α/2)T= 23.3909944838

E= Rx(Sec(α/2)-1)E= 1.22351051868

M= R-RxCos(α/2)

Page 41: Calculo Curvas Espirales La Moya 3

M= 1.21683370692227

Gc=Gc= 5.1390497451

Gc*l/20

5.90990720686

C=C= 22.9898052896

CL=CL= 46.5266952621

θ/2

2.95495360343

Gc*l/40

2.95495360343

PC= PI-TPC= 1+339.600PT= PC+LcPT= 1+386.212

S= n(R-(R^2-L^2)^0.5)+(V/10x(R^0.5)S= 0.49097686785P= (V^2/(127xR))-fP= -0.036719155 m/mP= -3.6719155044 %

360/(πxR)

θ=θ=

2xRxSen(θ/2)

2xRxSen(α/2)

ø=ø=ø=ø=

Page 42: Calculo Curvas Espirales La Moya 3

C H. DER. Nº18CALCULO DE LOS ELEMENTOS CURVA CIRCULAR

DATOS DE DISEÑO

V(Diseño)= 50 Km/hα= 23.624444 ˚PI= 1+415.405 m.

f= 0.315e= 0.04

l(Cons C)= 23n= 2

ANCH0 VIA= 6 m.

CALCULOS

R(min)= V^2/(127x(e+f)R(min)= 55.450815127

R(asum)= 62R(asum)>R(min) Ok

Lc= πxRxα/180Lc= 25.5641090496

T= RxTan(α/2)T= 12.9662783819

E= Rx(Sec(α/2)-1)E= 1.34133228057

M= R-RxCos(α/2)

Page 43: Calculo Curvas Espirales La Moya 3

M= 1.31292788454077

Gc=Gc= 18.4825095203

Gc*l/20

21.2548859484

C=C= 22.86834366

CL=CL= 25.3834022978

θ/2

10.6274429742

Gc*l/40

10.6274429742

PC= PI-TPC= 1+402.439PT= PC+LcPT= 1+428.003

S= n(R-(R^2-L^2)^0.5)+(V/10x(R^0.5)S= 1.19772911623P= (V^2/(127xR))-fP= 0.192500635 m/mP= 19.2500635001 %

360/(πxR)

θ=θ=

2xRxSen(θ/2)

2xRxSen(α/2)

ø=ø=ø=ø=

Page 44: Calculo Curvas Espirales La Moya 3

C H. IZQ. Nº 19CALCULO DE LOS ELEMENTOS ESPIRAL CURVA ESPIRAL

DATOS DE DISEÑO

V(Diseño)= 25 Km/hRc= 49 mα= 104.5538889 ˚PI= 1+592.373 m.A= 25n= 2

ANCH0 VIA= 6 m.

REQUERIMIENTO DE UTILIZACION DE CURVAS DE TRANSICIÓN:

0.098xV^261.25SI NECESITA CURVAS DE TRANSICIÓN

CALCULOS

Le(min)= (0.036xV^3)/RLe(min)= 11.47959184

A= (Le*R)^0.5Le= (A^2)/R

RMT=

RMT=

RMT>Rc

Page 45: Calculo Curvas Espirales La Moya 3

Le= 12.75510204Le>Le(min) Ok

δe= Le/2Rδe= 0.130154102θe=θe= 7.457280757θe=θe= 7.457280757Ae= (θe/3)-θex8.3x10^(-7)Ae= 2.485754063

B= θe-AeB= 4.971526694

Xe= Lex(1-((δe^2)/10)+((δe^4)/216)+((δe^6)/9360)+((δe^8)/685440))Xe= 12.73351174Ye= Lex(((δe^2)/3)+((δe^3)/42)+((δe^5)/1320)+((δe^7)/75600))Ye= 0.552707058

u=u= 8.510959023v=v= 4.25857212

P=P= 0.138260403K=K= 6.373951518

CURAVAS SIMETRICAS

Te=Te= 69.89858485αc= α-2θeαc= 89.63932737Lc= πxRx(αc/180)Lc= 76.6605687

Lc+2Le102.1707728

πxRx(α/180)+Le102.1707728

TE= PI-TeTE= 1+522.474EC= TE+LeEC= 1+535.230CE= EC+LeCE= 1+611.890ET= CE+LeET= 1+624.645ET= TE+LTET= 1+624.645

S= n(R-(R^2-L^2)^0.5)+(V/10x(R^0.5)

180xδe/π

90xLe/πxR

Xe-(Ye/Tanθe)

Ye/(Senθe)

Ye-r(1-Cosθe)

Xe-R(Senθe)

(R+P)*Tg(α/2)+K

LT=LT=LT=LT=

Page 46: Calculo Curvas Espirales La Moya 3

S= 1.070144754 m/mP= (V^2/(127xR))-fP= 0.020433874 m/mP= 2.043387434 %

Page 47: Calculo Curvas Espirales La Moya 3

C H. IZQ. Nº 20CALCULO DE LOS ELEMENTOS ESPIRAL CURVA ESPIRAL

DATOS DE DISEÑO

V(Diseño)= 25 Km/hRc= 15 mα= 124.9986111 ˚PI= 1+677.573 m.A= 20n= 2

ANCH0 VIA= 6 m.

REQUERIMIENTO DE UTILIZACION DE CURVAS DE TRANSICIÓN:

0.098xV^261.25SI NECESITA CURVAS DE TRANSICIÓN

CALCULOS

Le(min)= (0.036xV^3)/RLe(min)= 37.5

A= (Le*R)^0.5Le= (A^2)/R

RMT=

RMT=

RMT>Rc

Page 48: Calculo Curvas Espirales La Moya 3

Le= 26.66666667Le>Le(min) CORREGIR A

δe= Le/2Rδe= 0.888888889θe=θe= 50.92958179θe=θe= 50.92958179Ae= (θe/3)-θex8.3x10^(-7)Ae= 16.97648499

B= θe-AeB= 33.9530968

Xe= Lex(1-((δe^2)/10)+((δe^4)/216)+((δe^6)/9360)+((δe^8)/685440))Xe= 24.63816474Ye= Lex(((δe^2)/3)+((δe^3)/42)+((δe^5)/1320)+((δe^7)/75600))Ye= 7.466365538

u=u= 18.5768122v=v= 9.616995841

P=P= 1.920491302K=K= 12.99258592

CURAVAS SIMETRICAS

Te=Te= 45.49558544αc= α-2θeαc= 23.13944753Lc= πxRx(αc/180)Lc= 6.057893198

Lc+2Le59.39122653

πxRx(α/180)+Le59.39122653

TE= PI-TeTE= 1+632.077EC= TE+LeEC= 1+658.744CE= EC+LeCE= 1+664.802ET= CE+LeET= 1+691.469ET= TE+LTET= 1+691.469

S= n(R-(R^2-L^2)^0.5)+(V/10x(R^0.5)

180xδe/π

90xLe/πxR

Xe-(Ye/Tanθe)

Ye/(Senθe)

Ye-r(1-Cosθe)

Xe-R(Senθe)

(R+P)*Tg(α/2)+K

LT=LT=LT=LT=

Page 49: Calculo Curvas Espirales La Moya 3

S= 3.063619116 m/mP= (V^2/(127xR))-fP= 0.24808399 m/mP= 24.80839895 %