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### Transcript of Calculo Curvas Espirales La Moya 3

C H. DER. N 1

CALCULO DE LOS ELEMENTOS ESPIRAL CURVA ESPIRAL DATOS DE DISEOV(Diseo)= Rc= = PI= A= n= ANCH0 VIA= 25 Km/h 20 m 92.25 0+024.055 m. 20 2 6 m.

REQUERIMIENTO DE UTILIZACION DE CURVAS DE TRANSICIN:RMT= 0.098xV^2 RMT= 61.25

RMT>Rc SI NECESITA CURVAS DE TRANSICIN CALCULOSLe(min)= (0.036xV^3)/R Le(min)= 28.13 A= (Le*R)^0.5 Le= (A^2)/R

Le= 20

Le>Le(min) CORREGIR Ae= Le/2R e= 0.5 e= 180xe/ e= 28.65 e= 90xLe/xR e= 28.65 Ae= (e/3)-ex8.3x10^(-7) Ae= 9.55 B= e-Ae B= 19.1 Xe= Lex(1-((e^2)/10)+((e^4)/216)+((e^6)/9360)+((e^8)/685440)) Xe= 19.51 Ye= Lex(((e^2)/3)+((e^3)/42)+((e^5)/1320)+((e^7)/75600)) Ye= 3.27 u= Xe-(Ye/Tane) u= 13.51 v= Ye/(Sene) v= 6.83

P= Ye-r(1-Cose) P= 0.83 K= Xe-R(Sene) K= 9.92

CURAVAS SIMETRICASTe= (R+P)*Tg(/2)+K Te= 31.58 c= -2e c= 34.95 Lc= xRx(c/180) Lc= 12.2 LT= Lc+2Le LT= 52.2 LT= xRx(/180)+Le LT= 52.2 TE= PI-Te TE= -0+007.522 EC= TE+Le EC= 0+012.478 CE= EC+Le CE= 0+024.679 ET= CE+Le ET= 0+044.679 ET= TE+LT ET= 0+044.679

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

S= 2.34 m/m P= (V^2/(127xR))-f P= 0.17 m/m P= 16.61 %

ESPIRAL

^8)/685440))

C H. IZQ. N 2

CALCULO DE LOS ELEMENTOS CURVA CIRCULAR DATOS DE DISEOV(Diseo)= = PI= f= e= l(Cons C)= n= ANCH0 VIA= 50 Km/h 28.538889 0+085.120 m. 0.32 0.04 23 2 6 m.

CALCULOSR(min)= V^2/(127x(e+f) R(min)= 55.45 R(asum)= 62

R(asum)>R(min) OkLc= xRx/180 Lc= 30.88 T= RxTan(/2) T= 15.77 E= Rx(Sec(/2)-1) E= 1.97 M= R-RxCos(/2)

M= 1.91 Gc= 360/(xR) Gc= 18.48 = Gc*l/20 = 21.25 C= 2xRxSen(/2) C= 22.87 CL= 2xRxSen(/2) CL= 30.56 = /2 = = Gc*l/40 = 10.63 10.63

PC= PI-T PC= 0+069.352 PT= PC+Lc PT= 0+100.234 S= n(R-(R^2-L^2)^0.5)+(V/10x(R^0.5) S= 1.2 P= (V^2/(127xR))-f P= 0.19 m/m P= 19.25 %

C H. DER. N 3

CALCULO DE LOS ELEMENTOS CURVA CIRCULAR DATOS DE DISEOV(Diseo)= = PI= f= e= l(Cons C)= n= ANCH0 VIA= 50 Km/h 16.513333 0+138.578 m. 0.32 0.04 23 2 6 m.

CALCULOSR(min)= V^2/(127x(e+f) R(min)= 55.45 R(asum)= 130

R(asum)>R(min) OkLc= xRx/180 Lc= 37.47 T= RxTan(/2) T= 18.86 E= Rx(Sec(/2)-1) E= 1.36 M= R-RxCos(/2)

M= 1.35 Gc= 360/(xR) Gc= 8.81 = Gc*l/20 = 10.14 C= 2xRxSen(/2) C= 22.97 CL= 2xRxSen(/2) CL= 37.34 = /2 = = Gc*l/40 = 5.07 5.07

PC= PI-T PC= 0+119.713 PT= PC+Lc PT= 0+157.181 S= n(R-(R^2-L^2)^0.5)+(V/10x(R^0.5) S= 0.71 P= (V^2/(127xR))-f P= 0.03 m/m P= 2.64 %

C H. IZQ. N 4

CALCULO DE LOS ELEMENTOS CURVA CIRCULAR DATOS DE DISEOV(Diseo)= = PI= f= e= l(Cons C)= n= ANCH0 VIA= 50 Km/h 17.961667 0+191.855 m. 0.32 0.04 23 2 6 m.

CALCULOSR(min)= V^2/(127x(e+f) R(min)= 55.45 R(asum)= 108.42

R(asum)>R(min) OkLc= xRx/180 Lc= 33.99 T= RxTan(/2) T= 17.13 E= Rx(Sec(/2)-1) E= 1.35 M= R-RxCos(/2)

M= 1.33 Gc= 360/(xR) Gc= 10.57 = Gc*l/20 = 12.16 C= 2xRxSen(/2) C= 22.96 CL= 2xRxSen(/2) CL= 33.85 = /2 = = Gc*l/40 = 6.08 6.08

PC= PI-T PC= 0+174.721 PT= PC+Lc PT= 0+208.708 S= n(R-(R^2-L^2)^0.5)+(V/10x(R^0.5) S= 0.8 P= (V^2/(127xR))-f P= 0.06 m/m P= 5.66 %

C H. DER. N 5

CALCULO DE LOS ELEMENTOS CURVA CIRCULAR DATOS DE DISEOV(Diseo)= = PI= f= e= l(Cons C)= n= ANCH0 VIA= 50 Km/h 31.368333 0+245.647 m. 0.32 0.04 23 2 6 m.

CALCULOSR(min)= V^2/(127x(e+f) R(min)= 55.45 R(asum)= 122.59

R(asum)>R(min) OkLc= xRx/180 Lc= 67.12 T= RxTan(/2) T= 34.42 E= Rx(Sec(/2)-1) E= 4.74 M= R-RxCos(/2)

M= 4.56 Gc= 360/(xR) Gc= 9.35 = Gc*l/20 = 10.75 C= 2xRxSen(/2) C= 22.97 CL= 2xRxSen(/2) CL= 66.28 = /2 = = Gc*l/40 = 5.37 5.37

PC= PI-T PC= 0+211.224 PT= PC+Lc PT= 0+278.342 S= n(R-(R^2-L^2)^0.5)+(V/10x(R^0.5) S= 0.74 P= (V^2/(127xR))-f P= 0.04 m/m P= 3.56 %

C H. IZQ. N 6

CALCULO DE LOS ELEMENTOS CURVA CIRCULAR DATOS DE DISEOV(Diseo)= = PI= f= e= l(Cons C)= n= ANCH0 VIA= 50 Km/h 21.785000 0+331.590 m. 0.32 0.04 23 2 6 m.

CALCULOSR(min)= V^2/(127x(e+f) R(min)= 55.45 R(asum)= 78.43

R(asum)>R(min) OkLc= xRx/180 Lc= 29.82 T= RxTan(/2) T= 15.09 E= Rx(Sec(/2)-1) E= 1.44 M= R-RxCos(/2)

M= 1.41 Gc= 360/(xR) Gc= 14.61 = Gc*l/20 = 16.8 C= 2xRxSen(/2) C= 22.92 CL= 2xRxSen(/2) CL= 29.64 = /2 = = Gc*l/40 = 8.4 8.4

PC= PI-T PC= 0+316.498 PT= PC+Lc PT= 0+346.318 S= n(R-(R^2-L^2)^0.5)+(V/10x(R^0.5) S= 1.01 P= (V^2/(127xR))-f P= 0.13 m/m P= 12.6 %

C H. DER. N 7

CALCULO DE LOS ELEMENTOS ESPIRAL CURVA ESPIRAL DATOS DE DISEOV(Diseo)= Rc= = PI= A= n= ANCH0 VIA= 25 Km/h 35 m 33.4 0+431.103 m. 24 2 6 m.

REQUERIMIENTO DE UTILIZACION DE CURVAS DE TRANSICIN:RMT= 0.098xV^2 RMT= 61.25

RMT>Rc SI NECESITA CURVAS DE TRANSICIN CALCULOSLe(min)= (0.036xV^3)/R Le(min)= 16.07 A= (Le*R)^0.5 Le= (A^2)/R

Le= 16.46

Le>Le(min) Oke= Le/2R e= 0.24 e= 180xe/ e= 13.47 e= 90xLe/xR e= 13.47 Ae= (e/3)-ex8.3x10^(-7) Ae= 4.49 B= e-Ae B= 8.98 Xe= Lex(1-((e^2)/10)+((e^4)/216)+((e^6)/9360)+((e^8)/685440)) Xe= 16.37 Ye= Lex(((e^2)/3)+((e^3)/42)+((e^5)/1320)+((e^7)/75600)) Ye= 1.28 u= Xe-(Ye/Tane) u= 11 v= Ye/(Sene) v= 5.51

P= Ye-r(1-Cose) P= 0.32 K= Xe-R(Sene) K= 8.21

CURAVAS SIMETRICASTe= (R+P)*Tg(/2)+K Te= 18.81 c= -2e c= 6.46 Lc= xRx(c/180) Lc= 3.94 LT= Lc+2Le LT= 36.86 LT= xRx(/180)+Le LT= 36.86 TE= PI-Te TE= 0+412.293 EC= TE+Le EC= 0+428.750 CE= EC+Le CE= 0+432.695 ET= CE+Le ET= 0+449.152 ET= TE+LT ET= 0+449.152

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

S= 1.42 m/m P= (V^2/(127xR))-f P= 0.06 m/m P= 6.06 %

ESPIRAL

^8)/685440))

C H. IZQ. N 8

CALCULO DE LOS ELEMENTOS ESPIRAL CURVA ESPIRAL DATOS DE DISEOV(Diseo)= Rc= = PI= A= n= ANCH0 VIA= 25 Km/h 15 m 120.71 0+493.971 m. 20 2 6 m.

REQUERIMIENTO DE UTILIZACION DE CURVAS DE TRANSICIN:RMT= 0.098xV^2 RMT= 61.25

RMT>Rc SI NECESITA CURVAS DE TRANSICIN CALCULOSLe(min)= (0.036xV^3)/R Le(min)= 37.5 A= (Le*R)^0.5 Le= (A^2)/R

Le= 26.67

Le>Le(min) CORREGIR Ae= Le/2R e= 0.89 e= 180xe/ e= 50.93 e= 90xLe/xR e= 50.93 Ae= (e/3)-ex8.3x10^(-7) Ae= 16.98 B= e-Ae B= 33.95 Xe= Lex(1-((e^2)/10)+((e^4)/216)+((e^6)/9360)+((e^8)/685440)) Xe= 24.64 Ye= Lex(((e^2)/3)+((e^3)/42)+((e^5)/1320)+((e^7)/75600)) Ye= 7.47 u= Xe-(Ye/Tane) u= 18.58 v= Ye/(Sene) v= 9.62

P= Ye-r(1-Cose) P= 1.92 K= Xe-R(Sene) K= 12.99

CURAVAS SIMETRICASTe= (R+P)*Tg(/2)+K Te= 42.72 c= -2e c= 18.85 Lc= xRx(c/180) Lc= 4.93 LT= Lc+2Le LT= 58.27 LT= xRx(/180)+Le LT= 58.27 TE= PI-Te TE= 0+451.249 EC= TE+Le EC= 0+477.916 CE= EC+Le CE= 0+482.850 ET= CE+Le ET= 0+509.517 ET= TE+LT ET= 0+509.517

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

S= 3.06 m/m P= (V^2/(127xR))-f P= 0.25 m/m P= 24.81 %

ESPIRAL

^8)/685440))

C H. DER. N 9

CALCULO DE LOS ELEMENTOS ESPIRAL CURVA ESPIRAL DATOS DE DISEOV(Diseo)= Rc= = PI= A= n= ANCH0 VIA= 25 Km/h 55 m 65 0+624.016 m. 25 2 6 m.

REQUERIMIENTO DE UTILIZACION DE CURVAS DE TRANSICIN:RMT= 0.098xV^2 RMT= 61.25

RMT>Rc SI NECESITA CURVAS DE TRANSICIN CALCULOSLe(min)= (0.036xV^3)/R Le(min)= 10.23 A= (Le*R)^0.5 Le= (A^2)/R

Le= 11.36

Le>Le(min) Oke= Le/2R e= 0.1 e= 180xe/ e= 5.92 e= 90xLe/xR e= 5.92 Ae= (e/3)-ex8.3x10^(-7) Ae= 1.97 B= e-Ae B= 3.95 Xe= Lex(1-((e^2)/10)+((e^4)/216)+((e^6)/9360)+((e^8)/685440)) Xe= 11.35 Ye= Lex(((e^2)/3)+((e^3)/42)+((e^5)/1320)+((e^7)/75600)) Ye= 0.39 u= Xe-(Ye/Tane) u= 7.58 v= Ye/(Sene) v= 3.79

P= Ye-r(1-Cose) P= 0.1 K= Xe-R(Sene) K= 5.68

CURAVAS SIMETRICASTe= (R+P)*Tg(/2)+K Te= 40.78 c= -2e c= 53.17 Lc= xRx(c/180) Lc= 51.04 LT= Lc+2Le LT= 73.76 LT= xRx(/180)+Le LT= 73.76 TE= PI-Te TE= 0+583.232 EC= TE+Le EC= 0+594.596 CE= EC+Le CE= 0+645.632 ET= CE+Le ET= 0+656.995 ET= TE+LT ET= 0+656.995

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

S= 0.97 m/m P= (V^2/(127xR))-f P= 0.01 m/m P= 0.95 %

ESPIRAL

^8)/685440))

C H. IZQ. N 10

CALCULO DE LOS ELEMENTOS ESPIRAL CURVA ESPIRAL DATOS DE DISEOV(Diseo)= Rc= = PI= A= n= ANCH0 VIA= 25 Km/h 25 m 81.05 0+696.391 m. 25 2 6 m.

REQUERIMIENTO DE UTILIZACION DE CURVAS DE TRANSICIN:RMT= 0.098xV^2 RMT= 61.25

RMT>Rc SI NECESITA CURVAS DE TRANSICIN CALCULOSLe(min)= (0.036xV^3)/R Le(min)= 22.5 A= (Le*R)^0.5 Le= (A^2)/R

Le= 25

Le>Le(min) Oke= Le/2R e= 0.5 e= 180xe/ e= 28.65 e= 90xLe/xR e= 28.65 Ae= (e/3)-ex8.3x10^(-7) Ae= 9.55 B= e-Ae B= 19.1 Xe= Lex(1-((e^2)/10)+((e^4)/216)+((e^6)/9360)+((e^8)/685440)) Xe= 24.38 Ye= Lex(((e^2)/3)+((e^3)/42)+((e^5)/1320)+((e^7)/75600)) Ye= 4.09 u= Xe-(Ye/Tane) u= 16.89 v= Ye/(Sene) v= 8.54

P= Ye-r(1-Cose) P= 1.03 K= Xe-R(Sene) K= 12.4

CURAVAS SIMETRICASTe= (R+P)*Tg(/2)+K Te= 34.65 c= -2e c= 23.75 Lc= xRx(c/180) Lc= 10.36 LT= Lc+2Le LT= 60.36 LT= xRx(/180)+Le LT= 60.36 TE= PI-Te TE= 0+661.741 EC= TE+Le EC= 0+686.741 CE= EC+Le CE= 0+697.106 ET= CE+Le ET= 0+722.106 ET= TE+LT ET= 0+722.106

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

S= 1.91 m/m P= (V^2/(127xR))-f P= 0.12 m/m P= 11.69 %

ESPIRAL

^8)/685440))

C H. DER. N11

CALCULO DE LOS ELEMENTOS CURVA CIRCULAR DATOS DE DISEOV(Diseo)= = PI= f= e= l(Cons C)= n= ANCH0 VIA= 50 Km/h 24.636111 0+826.856 m. 0.32 0.04 23 2 6 m.

CALCULOSR(min)= V^2/(127x(e+f) R(min)= 55.45 R(asum)= 268.97

R(asum)>R(min) OkLc= xRx/180 Lc= 115.65 T= RxTan(/2) T= 58.73 E= Rx(Sec(/2)-1) E= 6.34 M= R-RxCos(/2)

M= 6.19 Gc= 360/(xR) Gc= 4.26 = Gc*l/20 = 4.9 C= 2xRxSen(/2) C= 22.99 CL= 2xRxSen(/2) CL= 114.76 = /2 = = Gc*l/40 = 2.45 2.45

PC= PI-T PC= 0+768.123 PT= PC+Lc PT= 0+883.773 S= n(R-(R^2-L^2)^0.5)+(V/10x(R^0.5) S= 0.43 P= (V^2/(127xR))-f P= -0.05 m/m P= -5.18 %

C H. IZQ. N12

CALCULO DE LOS ELEMENTOS CURVA CIRCULAR DATOS DE DISEOV(Diseo)= = PI= f= e= l(Cons C)= n= ANCH0 VIA= 50 Km/h 4.145000 0+979.137 m. 0.32 0.04 23 2 6 m.

CALCULOSR(min)= V^2/(127x(e+f) R(min)= 55.45 R(asum)= 691.16

R(asum)>R(min) OkLc= xRx/180 Lc= 50

T= RxTan(/2) T= 25