Calculos Espiral Circular Espiral
ESPIRAL CU CRITERIO EE 22.222 CRITERIO EE 0.000 a CURVA D O I Aze Azs DELTA Δ Δ CON Aze y AZAs Radio(Rc) VELOCIDAD
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ESPIRAL CU CRITERIO
EE
22.222
CRITERIO
EE
0.000
a CURVA D O I Aze Azs DELTA Δ Δ CON Aze y AZAs Radio(Rc) VELOCIDAD KPH Longitud de la curva Horizontal (LCH)
Parametro (A) Longitud de la espiral (Le) Angulo(θe) ΔC
10
SOBREANCHO Prevalece
°
´
"
RADIANES
18 318 59 59
4 26 38 38
0.00 0.00 0.00 0.00
0.31532 5.55771 1.04080 -5.24239
29 0
49 0
0.21 0.41
I
75 40 0.000 76.515 78.06
3.65 3.65
ANCHO DEL CARRIL
ANCHO DE LA CALZADA (DOS CARRILES)
75.001 75.000 75.000
Radio(Rc)
(θe) ECE
coordenadas del EC Xe Ye coord del PC desplazado XM
Longitud de la espiral (Le)
° 29 29 29
´ 49 48 49
0.52040 0.00000 NUMERO 7.3 DE 7.30 CARRILES
78.061 78.060 78.060
" 0.21 59.38 1.03
Para ECE 75.972 13.281
Te Ee Ee
83.584 15.307 15.307
38.680
Cuerda Larga
77.124
RADIANES 0.52040 0.52040 0.52040
ΔR
3.353
Desplazamiento de la curva circular O'
Tangentes
Tangente Corta
52.798 52.798 26.710
Tangente de la curva central
0.000
Tangente Larga
Abscisado desde el PI
3.864
COORDENADAS DE PUNTOS Pi DESDE EL CENTRO (O) Abscisa dada
ABSCISA 0.00 0.00 0.00 0.00 0.00 0.00
0.00 0.00 0.00 1.01 1.02 0.00
0.00 1.04 1.05 1.03 1.06 1.07 1.07
TE PM
EC
EC PM
CE
CE
PM
ET
K K K K K K
0 0 0 0 0 0
+ + + + + +
K K K K K K
0 0 0 1 1 0
+ + + + + +
K K K K K K K
0 1 1 1 1 1 1
+ + + + + + +
ESPIRAL CURVA ESPIRAL (E-C-E)
SOBREANCHO
SI
TIPO DE VEHICULO Y DISTANCIA ENTRE LLANTA DELANTERA Y TRASERA (L) SE REQUIERE DEFINIR EL VEHÍCULO DE DISEÑO
GRADOS 18.06667 318.43333 59.63333 -300.36667
29.81672 -0.00011
0.00011
2
Parametro A o K
GRADOS 29.8167236586 29.8164933314 29.8169539876
C2G 8
°
´
Azs conAze y Δ Aze con Azs y Δ
-42 378
26 3
CAze CAzs AZe1 CAZe1 AZs1 CAZs1 AZ Tc Az PI-O Az EC desde TE Az EC desdeO
° 198 138 288 108 228 48 -12 258 -102 78
´ 3 26 3 3 26 26 14 15 14 14
COORDENADAS DE LOS PUNTOS
76.515 76.515 76.515 PI TE ET EC Repetidas 2 metodos EC CE PIe PIc O O
NORTE 500.000 420.537 562.536 496.883 496.883 514.506 470.732 496.883 481.610 481.610
ESTE 1000.000 974.079 944.543 985.013 985.013 1004.887 990.453 985.013 911.585 911.585
600.000 500.000 400.000 300.000 200.000 100.000
0.000 940.00
ABSCISADO DE LA CU
ABSCISADO DE LA CU ABSCISA DEL PI menos Te ABSCISA DEL TE más Le ABSCISA DEL EC más LcH ABSCISA DEL CE más Le ABSCISA DEL ET
E EL CENTRO (O) Abscisa dada
ISA
1000
L
K1+250.560 83.584 K1+166.976 78.060 K1+245.036 0.000 K1+245.036 78.060 K1+323.096
Cada cuantos metros desea saber las coordena de los puntos Pi sobre la curva
10
ϴi ° 0 0 7 0 2 29 29
´ 0 3 27 54 43 48 49
" 0.00 46.22 14.84 10.34 17.63 59.38 0.21
RADIANES 0.00000 0.00110 0.13010 0.01576 0.04750 0.52040 0.52040
916.416 920 955.446 930 940 994.476
0.000 3.584 39.030 13.584 23.584 78.060
994.476 1000 994.476 1010 1020 994.476
0.000 5.524 0.000 15.524 25.524 0.000
0 4 -1 11 19 -1 -1
0 13 59 51 29 59 59
0.00 10.89 59.79 32.86 54.84 59.59 59.59
0.00000 0.07365 0.00000 0.20698 0.34031 0.00000 0.00000
994.476 1040 1050 1033.506 1060 1070 1072.536
78.060 32.536 22.536 39.030 12.536 2.536 0.000
29 5 2 7 0 0 0
48 10 29 27 46 1 0
59.38 48.24 6.78 14.84 8.47 53.32 0.00
0.52040 0.09041 0.04338 0.13010 0.01342 0.00055 0.00000
SOBREANCHO 0.856 1.318 0.853
FORMULA NORMAL CON FACTOR DE SEGURIDAD AASHTO FORMULA APROXIMADA
"
RADIANES
GRADOS
0.00 60.00
-0.72548 6.59851
-41.56667 378.06667
" 60.00 0.00 60.00 60.00 0.00 0.00 59.79 0.00 59.79 59.79
RADIANES 3.45692 2.41612 5.02771 1.88612 3.98691 0.84532 -0.20508 4.50731 -1.77587 1.36572
GRADOS 198.06667 138.43333 288.06667 108.06667 228.43333 48.43333 -11.75006 258.25000 -101.75006 78.24994
-71.933333 228.433333
DE LOS PUNTOS SINGULARES Curva 600.000 500.000 400.000 300.000 200.000 100.000 0.000 940.000 950.000 960.000 970.000 980.000 990.000 1000.0001010.000
SADO DE LA CURVA
0.90 1.40 0.90
SADO DE LA CURVA
GRADOS 0 0.06284 7.45412 0.90287 2.72156 29.81649 29.81672
Xi
Yi
´ 0 1 29 18 54 54 54
ϕi " 0.00 15.41 3.67 3.45 25.81 57.22 57.50
0.000 3.584 38.964 13.583 23.578 75.972 75.972
0.000 0.001 1.691 0.071 0.373 13.281 13.281
° 0 0 2 0 0 9 9
RADIANES
0 4.21969 -0.00006 11.85913 19.49857 -0.00011 -0.00011
0.000 5.521 0.000 15.457 25.230 0.000 0.000
0.000 0.136 0.000 1.068 2.871 0.000 0.000
0 2 -1 5 9 -1 -1
0 6 59 55 44 59 59
0.00 35.45 59.90 46.43 57.42 59.79 59.79
0.00000 0.03682 0.00000 0.10349 0.17016 0.00000 0.00000
29.8164933314 5.18007 2.48522 7.45412 0.76902 0.03148 0.00000
75.972 32.510 22.532 38.964 12.536 2.536 0.000
13.281 0.980 0.326 1.691 0.056 0.000 0.000
9 1 0 2 0 0 0
54 43 49 29 15 0 0
57.22 35.65 42.21 3.67 22.82 37.77 0.00
0.17307 0.03013 0.01446 0.04336 0.00447 0.00018
0.00037 0.04336 0.00525 0.01583 0.17307 0.17307
GRADOS 0 0.02095 2.48435 0.30096 0.90717 9.91589 9.91597
0.00000 2.10985 -0.00003 5.92956 9.74928 -0.00006 -0.00006
a b c d x*cos(Aze) y*cos(AZe1) x*sen(Aze) y*sen(AZe1) 0.000 0.000 0.000 0.000 3.407 0.000 1.111 -0.001 37.043 0.524 12.084 -1.607 12.914 0.022 4.212 -0.068 22.416 0.116 7.312 -0.355 72.227 4.119 23.561 -12.626
° 78 82 78 90 97 78
´ 14 28 14 6 44 14
AZIMUT " 59.79 10.69 59.59 32.66 54.63 59.38
RADIANES 1.366 1.439 1.366 1.573 1.706 1.366
x*cos(CAzs) y*cos(AZs1) x*sen(CAzs) y*sen(AZs1) 9.91589493 -56.841 -8.812 50.407 -9.937 1.72657 -24.323 -0.650 21.570 -0.733 0.82839 -16.858 -0.216 14.950 -0.244 2.48435 -29.152 -1.122 25.852 -1.265 0.25634 -9.379 -0.037 8.318 -0.042 0.01049 -1.898 0.000 1.683 0.000 0.00000 0.000 0.000 0.000 0.000
GRADOS 78.24994 82.46963 78.24989 90.10907 97.74851 78.24983
N-S a+b 0.000 3.407 37.567 12.936 22.532 76.345
E-W c+d 0.000 1.110 10.476 4.145 6.957 10.935
N-S 15.273 9.829 15.273 -0.143 -10.112 15.273
E-W 73.428 74.353 73.428 75.000 74.315 73.428
a+b -65.653 -24.973 -17.074 -30.274 -9.416 -1.898 0.000
c+d 40.470 20.837 14.706 24.587 8.276 1.682 0.000
PE DATOS VELOCIDAD RADIO MIN ANCHO DEL CARRIL BOMBEO % PERALTE % ΔS MAXIMA% PENDIENTE LONGITUDINAL DEL EJE DE LA VÍA LCH POR ARCO a (cada cuanto las abscisas del peralte)
ABSCISAS DE LOS PUNTOS SINGULARESDE DIAGRAMA DE PERALTES EC (D) menos Ltp A menos Le TE menos (Lp-N) C Abscisa del Pc+Lch CE (D') más (Lp-N) C' más Lp ET' más Ltp A'
COORDENADAS N E 420.537 974.079 423.945 975.189 458.105 984.555 433.473 978.223 443.069 981.036 496.883 985.013
COORDENADAS N E 496.883 985.013 491.438 985.938 496.883 985.013 481.467 986.585 471.498 985.900 496.883 985.013
N 496.883 537.562 545.462 532.262 553.119 560.638 562.536
E 985.013 965.380 959.249 969.130 952.819 946.226 944.543
PERALTE
DELTA S max
DATOS 40 75 3.65 3.65 2 6.8 0.77 -4 0.000
SOBREANCHO
0.700
ANCHO DE LA CALZADA (DOS CARRILES) BOMBEO 1/100 PERALTE 1/100 ΔS MINIMA% P LONGITUDINAL DEL EJE DE LA VÍA 1/100
7.3 7.30
NUMERO DE CARRILES
2
0.02 0.068 0.365 -0.04
INGRESAR R Y Δ ATRÁS
10
E LOS PUNTOS SINGULARESDEL AGRAMA DE PERALTES K0+858.287 41.714 K0+816.573 32.234 K0+826.053 22.753 K0+835.534 K0+858.287 22.753 K0+881.040 32.234 K0+890.521 41.714 K0+900.001
DISTANCIAS DEL PERALTE SI DAN PI MIRAR ATRÁS
Longitud de aplanamiento (N) Longitud de Transición del Peralte (Lp) Longitud total de Transición del Peralte (Ltp) Lp -N
9.481 9.481 32.234 32.234 41.714 41.714 41.714 22.753
e*a/le
COTAS DE LOS PUNTOS SINGULARES PC - EC (D) A B C PT - CE(D') C' B' A'
500.000 501.669 501.289 500.910 500.000 499.090 498.711 498.331
a= Rmin. VELOCIDAD emax.% Ftmax. CALCULADO REDONDEADJ 20 0.08 0.35 7.32 8 30 0.08 0.28 19.69 20 40 0.08 0.23 40.64 41 50 0.068 0.19 76.30 77 60 0.068 0.17 119.10 120 70 0.068 0.15 176.98 177 80 0.068 0.14 242.28 243 90 0.068 0.13 322.12 323 100 0.068 0.12 418.83 419 110 0.068 0.11 535.26 536 120 0.068 0.09 717.63 718 130 0.068 0.08 899.13 900 CRITERIO 1.
∆Smax.(Prmax) 0.7 1.35 0.7 1.28 0.7 0.96 0.7 0.77 0.7 0.6 0.7 0.55 0.6 0.50 0.6 0.47 0.5 0.44 0.5 0.41 0.4 0.38 0.4 0.38
CRITERIO 2.
CRITERIO 1 Le 30.62 41.34 47.80 49.71 55.11 59.34 75.27 80.62 102.31 106.45 128.96 130.80
3.65 emax.= CRITERIO 1 Amin 13.971 25.299 38.072 53.003 68.629 85.007 110.872 130.666 165.395 187.694 229.613 252.154
6.8
CRITERIO 2 Le Amin 18.39 12.128 19.39 19.693 25.85 32.558 32.23 49.820 41.37 70.456 45.13 89.373 49.64 109.830 52.81 130.603 56.41 153.738 60.54 180.132 65.32 216.557 65.32 242.455 CRITERIO 3.1
CRITERIO 3.1 Le Amin 6.928 7.445 10.954 14.802 15.684 25.359 21.494 40.682 26.833 56.744 32.588 75.948 38.184 96.326 44.023 119.245 50.140 144.943 56.710 174.346 65.635 217.086 73.485 257.170
CRITERIO 3.2 Le Amin Amin. 0.838 2.589 2.094 6.472 4.294 13.268 8.063 24.917 12.566 38.832 18.535 57.277 25.447 78.635 33.825 104.523 43.878 135.588 56.130 173.450 75.189 232.345 94.248 291.240
13.971 25.299 38.072 53.003 70.456 89.373 110.872 130.666 165.395 187.694 232.345 291.240
si si con el Amin No no Amax. A adoptado A max redo Le min. Le max. 8.800 14 9 24.500 10.125 22.000 26 22 33.800 24.200 45.100 39 46 37.098 51.610 84.700 70 85 63.636 93.831 132.000 71 132 42.008 145.200 194.700 90 195 45.763 214.831 267.300 111 268 50.704 295.572 355.300 131 356 53.130 392.372 460.900 166 461 65.766 507.210 589.600 188 590 65.940 649.440 789.800 233 790 75.611 869.220 990.000 292 990 94.738 1089.000 CRITERIO 3.2
PARA ESTABLECER LAS V
VEHICULOS DE DISEÑO
PARA LOS PERAL
ER LAS VELOCIDADES
SEÑO
PERALTES
RADIOS MINIMO
MINIMOS
ESPIRAL CURVA ESPIR
CRITERIO
ECE
22.222
CRITERIO
ECE
225.704
a CURVA D O I Aze Azs DELTA Δ Δ CON Aze y AZAs Radio(Rc) VELOCIDAD KPH Longitud de la curva Horizontal (LCH)
Parametro (A)
10
SOBREANCHO Prevalece
°
´
"
RADIANES
113 36 283 283
0 0 0 0
0.00 0.00 0.00 0.00
1.97222 0.62832 4.93928 4.93928
28 225
38 42
52.4 15.20
D
60 40 236.357 60
Longitud de la espiral (Le) Angulo(θe) ΔC
60
ANCHO DEL CARRIL
0
ANCHO DE LA CALZADA (DOS CARRILES)
60.000 60.000 60.000
Radio(Rc)
(θe) ECE
coordenadas del EC
Longitud de la espiral (Le)
° 28 28 28
´ 38 38 38
0.50000 3.93928 NUMERO DE 0.00 CARRILES
60.000 60.000 60.000
" 52.40 52.40 52.40
Para ECE
RADIANES 0.50000 0.50000 0.50000
Xe 58.517 Ye 9.823 coord del PC desplazado XM 29.752 ΔR Tangentes Tangente Larga Tangente Corta Tangente de la curva central
Te Ee Ee Cuerda Larga
2.478
-19.945 -139.833 -139.833
19.945
59.336
Desplazamiento de la curva circular O'
-3.166
40.537 40.537 20.489 -142.372
Abscisado desde el PI
COORDENADAS DE PUNTOS Pi DESDE EL CENTRO (O) Abscisa dada
ABSCISA 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00
0.00 0.00 0.00 0.00 0.00 0.00 1.01 1.19
TE
EC
EC
CE
K K K K K K K K
0 0 0 0 0 0 0 0
+ + + + + + + +
K K K K K K K K
0 0 0 0 0 0 1 1
+ + + + + + + +
1.19 1.20 1.21 1.22 1.23 1.24 1.25 1.25
CE
ET
K K K K K K K K
1 1 1 1 1 1 1 1
+ + + + + + + +
L CURVA ESPIRAL (E-C-E) Δ>180°
SOBREANCHO
SI
SE REQUIERE DEFINIR EL VEHÍCULO DE DISEÑO
GRADOS 113.00000 36.00000 283.00000 283.00000
28.64789 225.70422
Parametro A oK
GRADOS 28.6478898 28.6478898 28.6478898
225.70422
TIPO DE VEHICULO Y DISTANCIA ENTRE LLANTA DELANTERA Y TRASERA (L) C2G 8
SOBREANCHO
FORMULA NORM 0.000 0.516 CON FACTOR DE SEGURID FORMULA APROXIM 0.000
°
´
"
RADIANES
Azs conAze y Δ Aze con Azs y Δ
36 113
0 0
0.00 0.00
0.62832 1.97222
CAze CAzs AZe1 CAZe1 AZs1 CAZs1 AZ Tc Az PI-O Az EC desde TE Az EC desdeO
° 293 216 203 23 126 306 141 344 231 51
´ 0 0 0 0 0 0 38 30 38 38
" 0.00 0.00 0.00 0.00 0.00 0.00 52.40 0.00 52.40 52.40
RADIANES 5.11381 3.76991 3.54302 0.40143 2.19911 5.34071 2.47222 6.01266 4.04302 0.90143
COORDENADAS DE LOS PUNTOS SINGULARES
60.000 60.000 60.000 PI TE ET EC EC CE PIe PIc
NORTE 1000.000 992.207 983.864 960.300 960.300 930.749 976.368 1071.950
ESTE 500.000 518.360 488.276 568.387 568.387 461.828 555.674 480.047 p
O O
923.071 923.071
521.334 521.334
ABSCISADO DE LA CURVA ABSCISA DEL PI menos Te ABSCISA DEL TE más Le ABSCISA DEL EC más LcH ABSCISA DEL CE más Le ABSCISA DEL ET
CENTRO (O) scisa dada
875.608
A
L
K0+000.000 19.945 K0+019.945 60.000 K0+079.945 236.357 K0+316.302 60.000 K0+376.302
Cada cuantos metros desea saber las coordena de los puntos Pi sobre la curva
10
ϴi
895.553 900 910 920 930 940 950 955.553
0.000 4.447 14.447 24.447 34.447 44.447 54.447 60.000
° 0 0 1 4 9 15 23 28 28
955.553 960 970 980 990 1000 1010 1191.910
0.000 4.447 14.447 24.447 34.447 44.447 54.447 236.357
0 4 13 23 32 42 51 225
´ 0 9 39 45 26 43 35 38 38
" 0.00 26.45 38.97 21.08 32.77 14.03 24.87 52.40 52.40
RADIANES 0.00000 0.00275 0.02899 0.08301 0.16480 0.27438 0.41173 0.50000 0.50000
GRADOS 0 0.15735 1.66083 4.75586 9.44244 15.72056 23.59024 28.64789 28.64789
0 14 47 20 53 26 59 42
0.00 46.44 43.91 41.38 38.85 36.32 33.78 15.20
0.00000 0.07411 0.24078 0.40744 0.57411 0.74078 0.90744 3.93928
0 4.24623 13.79553 23.34483 32.89412 42.44342 51.99272 225.70422
Xi 0.000 4.447 14.445 24.430 34.353 44.113 53.531 58.517 58.517
1191.910 1200 1210 1220 1230 1240 1250 1251.910
60.000 51.910 41.910 31.910 21.910 11.910 1.910 0.000
225
42
15.20
3.93928
225.70422
28 21 13 8 3 1 0 0
38 26 58 6 49 7 1 0
52.40 36.76 39.16 11.14 12.69 43.83 44.54 0.00
0.50000 0.37426 0.24395 0.14143 0.06667 0.01970 0.00051 0.00000
28.6478898 21.44355 13.97754 8.10309 3.82019 1.12884 0.02904 0.00000
58.517 51.188 41.662 31.846 21.901 11.910 1.910 0.000
OBREANCHO
FORMULA NORMAL CON FACTOR DE SEGURIDAD AASHTO FORMULA APROXIMADA
GRADOS 36.00000 113.00000
GRADOS 293.00000 216.00000 203.00000 23.00000 126.00000 306.00000 141.64789 344.50000 231.64789 51.64789
INGULARES
203 126
0.00 0.60 0.00
VA
Yi 0.000 0.004 0.140 0.676 1.889 4.043 7.382 9.823 9.823
° 0 0 0 1 3 5 7 9 9
´ 0 3 33 35 8 14 51 31 31
ϕi " 0.00 8.82 12.98 6.69 48.32 12.63 7.50 44.27 44.27
RADIANES 0.00092 0.00966 0.02767 0.05492 0.09140 0.13704 0.16631 0.16631
GRADOS 0 0.05245 0.55360 1.58519 3.14675 5.23684 7.85208 9.52896 9.52896
a b x*cos(Aze) y*cos(AZe1) 0.000 0.000 -1.737 -0.004 -5.644 -0.128 -9.545 -0.622 -13.423 -1.738 -17.236 -3.722 -20.916 -6.796 -22.865 -9.042
AZIMUT 0 2 6 11 16 21 25 112
0 7 53 40 26 13 59 51
0.00 23.22 51.96 20.69 49.42 18.16 46.89 7.60
0.00000 0.03706 0.12039 0.20372 0.28706 0.37039 0.45372 1.96964
0.00000 2.12312 6.89777 11.67241 16.44706 21.22171 25.99636 112.85211
° 51 55 65 74 84 94 103 277
´ 38 53 26 59 32 5 38 21
112
9.823 6.411 3.394 1.502 0.487 0.078 0.000 0.000
9 7 4 2 1 0 0 0
51
31 8 39 42 16 22 0 0
7.60
44.27 21.64 24.59 2.07 24.06 34.60 34.85 0.00
1.96964
112.85211
0.16631 0.12461 0.08128 0.04713 0.02222 0.00657 0.00017
x*cos(CAzs) y*cos(AZs1) 9.52896324 -47.341 -5.774 7.13934 -41.412 -3.769 4.65683 -33.705 -1.995 2.70057 -25.764 -0.883 1.27335 -17.718 -0.286 0.37628 -9.635 -0.046 0.00968 -1.545 0.000 0.00000 0.000 0.000
c d x*sen(Aze) y*sen(AZe1) 0.000 0.000 4.093 -0.002 13.297 -0.055 22.488 -0.264 31.622 -0.738 40.606 -1.580 49.275 -2.885 53.865 -3.838
AZIMUT " 52.40 38.84 36.31 33.78 31.25 28.72 26.18 7.60
RADIANES 0.901 0.976 1.142 1.309 1.476 1.642 1.809 4.841
N-S a+b 0.000 -1.741 -5.773 -10.168 -15.161 -20.958 -27.712 -31.906
GRADOS 51.64789 55.89412 65.44342 74.99272 84.54201 94.09131 103.64061 277.35211
N-S 37.230 33.643 24.935 15.537 5.707 -4.281 -14.150 7.678
E-W c+d 0.000 4.092 13.243 22.224 30.884 39.027 46.391 50.027
COORDENADAS N E 992.207 518.360 990.466 522.451 986.434 531.602 982.039 540.583 977.045 549.244 971.249 557.386 964.495 564.751 960.300 568.387
E-W 47.053 49.680 54.573 57.954 59.728 59.847 58.308 -59.507
COORDENADAS N E 960.300 568.387 956.714 571.015 948.006 575.907 938.607 579.288 928.778 581.062 918.790 581.181 908.921 579.642 930.749 461.828
x*sen(CAzs) y*sen(AZs1) -34.396 7.947 -30.087 5.187 -24.488 2.745 -18.719 1.215 -12.873 0.394 -7.000 0.063 -1.123 0.000 0.000 0.000
a+b -53.115 -45.180 -35.700 -26.647 -18.004 -9.681 -1.546 0.000
c+d -26.449 -24.900 -21.743 -17.504 -12.479 -6.937 -1.123 0.000
N 930.749 938.683 948.164 957.217 965.860 974.183 982.318 983.864
E 461.828 463.376 466.534 470.773 475.797 481.339 487.154 488.276
ESPIRAL - ESP
a CURVA D O I Aze Azs DELTA Δ Δ CON Aze y AZAs Radio(Rc) VELOCIDAD KPH
10
75 40
Parametro (A)
88.28
Longitud de la espiral (Le) Angulo(θe)
78.060
75.000 Radio(Rc)
75.000
coordenadas del EC Xe 75.972 Ye 13.281 Ye 13.281 coord del PC desplazado XM 38.680 ΔR Tangentes Tangente Larga
°
´
"
RADIANES
18 318 59 59
4 26 38 38
0.00 0.00 0.00 0.00
0.31532 5.55771 1.04080 -5.24239
29
49
0.00
0.52040
Longitud de la espiral (Le)
78.060
I
3.353 52.798 52.798
Para ECE Te Ee Ee Ee Cuerda Larga
83.583 m 15.307 15.307 con Ye y Δ 15.307 77.124
Desplazamiento de la curva circular O'
3.864
Tangente Corta
26.710
Abscisado desde el PI
COORDENADAS DE PUNTOS Pi DESDE EL CENTRO (O) Abscisa dada
ABSCISA 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00
TE
0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00
EE
EE
ET
K K K K K K K K
0 0 0 0 0 0 0 0
+ + + + + + + +
K K K K K K K K
0 0 0 0 0 0 0 0
+ + + + + + + +
ESPIRAL - ESPIRAL (E-E)
GRADOS 18.06667 318.43333 59.63333 -300.36667
°
´
"
RADIANES
Azs conAze y Δ Aze con Azs y Δ
-42 378
26 3
0.00 60.00
-0.72548 6.59851
CAze CAzs AZe1 CAZe1 AZs1 CAZs1 AZ Tc Az PI-O
° 198 138 288 108 228 48 -12 258
´ 3 26 3 3 26 26 15 15
" 60.00 0.00 60.00 60.00 0.00 0.00 0.00 0.00
RADIANES 3.45692 2.41612 5.02771 1.88612 3.98691 0.84532 -0.20508 4.50731
29.81667
Parametro A oK
7.611
COORDENADAS DE LOS PUNTOS SINGULARES
76.515 76.515 76.515 PI TE ET EE EE PIe O O
NORTE 1830.465 1751.002 1893.001 1827.348 1827.348 1801.197 1812.075 1812.075
ESTE 1830.452 1804.531 1774.995 1815.465 1815.465 1820.905 1742.037 1742.037
ABSCISADO DE LA CURVA ABSCISA DEL PI K0+875.608 menos Te 83.583
ABSCISA DEL TE K0+792.025 más Le 78.060 ABSCISA DEL EE K0+870.084 más Le 78.060 ABSCISA DEL ET K0+948.144
CENTRO (O) scisa dada
875.608
A
L
Cada cuantos metros desea saber las coordena de los puntos Pi sobre la curva
10
ϴi
792.025 800 810 820 830 840 850 870.084
0.000 7.975 17.975 27.975 37.975 47.975 57.975 78.060
° 0 0 1 3 7 11 16 29 29
870.084 890 900 910 920 930 940 948.144
78.060 58.144 48.144 38.144 28.144 18.144 8.144 0.000
29 16 11 7 3 1 0 0
´ 0 18 34 49 3 15 26 48 49
" 0.00 40.52 52.03 46.73 24.63 45.71 49.98 60.00 0.00
RADIANES 0.00000 0.00543 0.02760 0.06684 0.12317 0.19657 0.28706 0.52040 0.52040
GRADOS 0 0.311256 1.58112001 3.82964811 7.05684029 11.2626966 16.4472169 29.8166667 29.81667
49 32 20 7 52 36 19 0
0.00 35.14 31.41 10.88 33.54 39.39 28.44 0.00
0.52040 0.28873 0.19796 0.12426 0.06765 0.02812 0.00566 0.00000
29.81667 16.54309 11.34206 7.11969 3.87598 1.61094 0.32457 0.00000
Xi 0.000 7.975 17.974 27.963 37.918 47.790 57.500 75.972 75.972 75.972 57.661 47.956 38.085 28.131 18.143 8.144 0.000
GRADOS -41.56667 378.06667
GRADOS 198.06667 138.43333 288.06667 -71.933333 108.06667 228.43333 228.433333 48.43333 -11.75000 258.25000
SINGULARES
RVA
Yi 0.000 0.014 0.165 0.623 1.557 3.135 5.515 13.281 13.281 13.281 5.563 3.168 1.578 0.634 0.170 0.015 0.000
a b c d x*cos(Aze) y*cos(AZe1) x*sen(Aze) y*sen(AZe1) 0.000 0.000 0.000 0.000 7.582 0.004 2.473 -0.014 17.088 0.051 5.574 -0.157 26.584 0.193 8.672 -0.592 36.048 0.483 11.759 -1.481 45.434 0.972 14.821 -2.980 54.665 1.710 17.832 -5.243 72.227 4.119 23.561 -12.626
-56.841 -43.141 -35.880 -28.495 -21.047 -13.574 -6.093 0.000
-8.812 -3.691 -2.102 -1.047 -0.421 -0.113 -0.010 0.000
50.407 38.258 31.818 25.269 18.665 12.038 5.404 0.000
-9.937 -4.162 -2.370 -1.181 -0.475 -0.127 -0.012 0.000
N-S a+b 0.000 7.587 17.139 26.778 36.531 46.406 56.375 76.345
E-W c+d 0.000 2.460 5.417 8.080 10.279 11.841 12.589 10.934
-65.653 -46.832 -37.982 -29.542 -21.468 -13.687 -6.104 0.000
40.470 34.096 29.448 24.088 18.190 11.910 5.392 0.000
COORDENADAS N 1751.002 1758.589 1768.142 1777.780 1787.534 1797.409 1807.377 1827.348
1827.348 1846.169 1855.019 1863.459 1871.532 1879.314 1886.897 1893.001
COORDENADAS E 1804.531 1806.990 1809.948 1812.610 1814.809 1816.371 1817.120 1815.465
1815.465 1809.091 1804.443 1799.084 1793.185 1786.905 1780.387 1774.995
ESPIRAL CURVA ESPIR
a CURVA D O I Aze Azs DELTA Δ Radio(Rc)1 VELOCIDAD KPH Longitud de la curva Horizontal (LCH)
Parametro (A)1 Longitud de la espiral (Le)1 Angulo(θe)1 ΔC Angulo(θe)2
10
°
´
"
RADIANES
121 191 34 Radio(Rc)2
42 12 26
10.00 50.00 56.72
2.12411 3.33731 0.60125
Parametro (A)2
30
Longitud de la espiral (Le) 2 18 2 16
22.5 20 13 6
4.74 12.76 51.98
0.32000 0.03875 0.28125
D
50 30 1.937 40 32
40
Radio(Rc)1
50.000 50.000 50.000
Longitud de la espiral (Le)1
32.000 32.000 32.000
Radio(Rc)2
40.000 40.000 40.000
Longitud de la espiral (Le)2
22.500 22.500 22.500
(θe) ECE1
° 18 18 18
´ 20 20 20
" 4.74 4.74 4.74
RADIANES 0.32000 0.32000 0.32000
°
´
"
RADIANES
16 16 16
(θe) ECE1
6 6 6
51.98 51.98 51.98
ESPIRAL DE ENTRADA ESPIRAL DE SALIDA Xe 31.674 Xe 22.323 Ye 3.388 Ye 2.097 coord del PC desplazado Entrada coord del PT desplazado Salida XM XM 15.946 11.220 ΔR Tangentes Entrada Tangente Larga Tangente Corta Tangente de la curva central
0.850
ΔR Tangentes Salida
15.063 15.063 7.557
Tangente de la curva central
0.775
0.969
Abscisado desde el PI
Para ESPIRAL ENTRADA Te Ee Ee Cuerda Larga
0.526
21.449 Tangente Larga 21.449 10.772 Tangente Corta
0.28125 0.28125 0.28125
Desplazamiento de la curva circular O' Para ESPIRAL DE SALIDA Te Ee Ee Cuerda Larga
COORDENADAS DE PUNTOS Pi DESDE EL CENTRO (O) Abscisa dada
ABSCISA 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00
0.00 0.00 0.00 0.00
TE
EC
EC
K K K K K K K K
0 0 0 0 0 0 0 0
+ + + + + + + +
K K K K
0 0 0 0
+ + + +
0.00 0.00 0.00 0.00
0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00
CE
CE
ET
K K K K
0 0 0 0
+ + + +
K K K K K K K K
0 0 0 0 0 0 0 0
+ + + + + + + +
CURVA ESPIRAL (E-C-E) ASIMETRICAS
GRADOS 121.70278 191.21389 34.44909
18.33465 -2.22021 16.11444
2.22021
Parametro A oK
40.000 40.000 40.000
Parametro A oK
30.000 30.000 30.000
GRADOS 18.33464944 18.33464944 18.33464944 GRADOS
°
´
"
Azs conAze y Δ Aze con Azs y Δ DELTA
156 156 34
9 45 26
6.72 53.28 56.72
CAze CAzs AZe1 CAZe1 AZs1 CAZs1 AZ Tc Az PI-O Az EC desde TE Az EC desdeO
° 301 11 211 31 281 101 140 228 230 50
´ 42 12 42 42 12 12 2 55 2 2
" 10.00 50.00 10.00 10.00 50.00 50.00 14.74 38.36 14.74 14.74
COORDENADAS DE LOS PUNTOS SINGULAR
PI
NORTE 1000.000
ESTE 1000.000
16.11443799 16.11443799 16.11443799
Para ESPIRAL ENTRADA 31.137 3.238 3.238
TE ET EC EC CE PIe PIc O O
Te-x
1016.363 976.511 996.835 996.835 998.815 1005.091 996.092 965.022 964.721
31.855
esplazamiento de la curva circular O'
ABSCISADO DE LA CURVA
0.890
ABSCISA DEL PI menos Te ABSCISA DEL TE más Le1 ABSCISA DEL EC más LcH ABSCISA DEL CE más Le2 ABSCISA DEL ET
Para ESPIRAL DE SALIDA 23.946
22.421
CENTRO (O) bscisa dada
875.608
SA
L
973.509 995.343 998.676 998.676 997.627 991.758 999.299 ? 959.865 960.353
K0+875.608 31.137 K0+844.471 32.000 K0+876.471 1.937 K0+878.409 22.500 K0+900.909
Cada cuantos metros desea saber las coordena de los puntos Pi sobre la curva
10
ϴi
844.471 850 860 870 880 890 900 876.471
0.000 5.529 15.529 25.529 35.529 45.529 55.529 32.000
° 0 0 4 11 22 37 55 18 18
876.471 880 890 900
0.000 3.529 13.529 23.529
0 4 15 26
´ 0 32 19 40 36 6 12 20 20
" 0.00 50.30 3.53 8.31 4.64 52.51 31.94 4.74 4.74
RADIANES 0.00000 0.00955 0.07536 0.20366 0.39447 0.64777 0.96358 0.32000 0.32000
GRADOS 0 0.54731 4.31765 11.66897 22.60129 37.11459 55.20887 18.33465 18.33465
0 2 30 57
0.00 37.25 10.21 43.17
0.00000 0.07058 0.27058 0.47058
0 4.04368 15.50284 26.96199
910 920 930 878.409
33.529 43.529 53.529 1.937
38 49 61 2 2
25 52 20 13 13
16.14 49.10 22.06 12.76 12.76
0.67058 0.87058 1.07058 0.03875 0.03875
38.42115 49.88030 61.33946 2.22021 2.22021
878.409 850 860 870 880 890 900 900.909
22.500 50.909 40.909 30.909 20.909 10.909 0.909 0.000
16 82 53 30 13 3 0 0
6 29 16 24 54 47 1 0
51.98 46.71 11.67 34.94 56.53 16.42 34.63 0.00
0.28125 1.43983 0.92974 0.53075 0.24287 0.06611 0.00046 0.00000
16.114438 82.49631 53.26991 30.40971 13.91570 3.78789 0.02629 0.00000
RADIANES
GRADOS
2.72536 156.15187 2.73606 156.76480 0.60125 34.44909 RADIANES 5.26571 0.19572 3.69491 0.55332 4.90811 1.76652 2.44411 3.99554 4.01491 0.87332
GRADOS 301.70278 11.21389 211.70278 211.702778 31.70278 281.21389 281.213889 101.21389 140.03743 228.92732 230.03743 50.03743
NTOS SINGULARES
A CURVA
Xi
Yi
0.000 5.529 15.520 25.423 34.980 43.655 50.590 31.674 31.674
0.000 0.018 0.390 1.728 4.620 9.540 16.687 3.388 3.388
° 0 0 1 3 7 12 18 6 6
´ 0 10 26 53 31 19 15 6 6
ϕi " 0.00 56.77 20.93 17.85 25.68 37.67 17.92 22.46 22.46
RADIANES 0.00318 0.02512 0.06786 0.13132 0.21515 0.31861 0.10657 0.10657
GRADOS 0 0.18244 1.43915 3.88829 7.52380 12.32713 18.25498 6.10624 6.10624
a x*cos(Aze) 0.000 -2.905 -8.156 -13.360 -18.382 -22.941 -26.586 -16.645
AZ 0 2 7 13
0 1 45 28
0.00 18.63 5.11 51.59
0.00000 0.03529 0.13529 0.23529
0.00000 2.02184 7.75142 13.48100
° 50 54 65 76
19 24 30 1 1
22.323 41.321 37.511 30.049 20.786 10.904 0.909 0.000
2.097 21.045 11.917 5.359 1.686 0.240 0.000 0.000
5 26 17 10 4 1 0 0
12 56 40 6 6
22 59 37 6 38 15 0 0
38.07 24.55 11.03 36.38 36.38
4.35 25.82 26.10 44.03 10.49 45.31 31.54 0.00
0.33529 0.43529 0.53529 0.01937 0.01937
0.09369 0.47107 0.30760 0.17649 0.08092 0.02204 0.00015
19.21057 24.94015 30.66973 1.11011 1.11011
5.36787545 26.99051 17.62392 10.11223 4.63625 1.26258 0.00876 0.00000
88 99 111 52
x*cos(CAzs) 21.896 40.532 36.795 29.476 20.389 10.696 0.891 0.000
b c d y*cos(AZe1) x*sen(Aze) y*sen(AZe1) 0.000 0.000 0.000 -0.015 4.704 -0.009 -0.332 13.204 -0.205 -1.470 21.630 -0.908 -3.931 29.760 -2.428 -8.117 37.141 -5.013 -14.197 43.041 -8.769 -2.883 26.948 -1.781
´ 2 4 32 59
AZIMUT " 14.74 51.99 24.95 57.91
RADIANES 0.873 0.944 1.144 1.344
N-S a+b 0.000 -2.920 -8.488 -14.830 -22.313 -31.058 -40.783 -19.528
GRADOS 50.03743 54.08111 65.54026 76.99942
N-S 32.114 29.332 20.703 11.248
E-W c+d 0.000 4.695 12.999 20.722 27.333 32.128 34.272 25.167
COORDENADAS N E 1016.363 973.509 1013.442 978.204 1007.875 986.509 1001.532 994.231 994.050 1000.842 985.305 1005.637 975.580 1007.781 996.835 998.676
E-W 38.323 40.492 45.513 48.718
COORDENADAS N E 997.136 998.188 994.354 1000.358 985.725 1005.378 976.270 1008.584
27 55 22 15
30.88 3.84 36.80 27.50
1.544 1.744 1.944 0.912
y*cos(AZs1) x*sen(CAzs) y*sen(AZs1) 0.408 4.341 -2.057 4.093 8.036 -20.643 2.317 7.295 -11.689 1.042 5.844 -5.257 0.328 4.042 -1.653 0.047 2.121 -0.236 0.000 0.177 0.000 0.000 0.000 0.000
88.45858 99.91773 111.37689 52.25764
1.345 -8.612 -18.225 30.606
49.982 49.253 46.560 39.539
966.367 956.410 946.797 995.627
1009.847 1009.118 1006.425 999.404
a+b 22.304 44.624 39.113 30.518 20.717 10.743 0.891 0.000
c+d 2.284 -12.608 -4.394 0.587 2.389 1.885 0.177 0.000
N 998.815 1021.135 1015.623 1007.029 997.227 987.253 977.402 976.511
E 997.627 982.735 990.949 995.930 997.732 997.228 995.520 995.343
SOBREANCHO DATOS VELOCIDAD RADIO MIN a Aze Azs DELTA Δ Δ CON Aze y AZAs
40 °
´
"
60 128 68 68
10 26 15 15
20.00 6.00 46.00 46.00
50 10
68.26 NUMERO 7 DE 7.00 CARRILES
3.5 ANCHO DE LA CALZADA 3.5 (DOS CARRILES)
ANCHO DEL CARRIL
3.141593
DEBEN SER IGUALES
CAZs CAZe AZe1 CAZe1 AZs1 CAZs1 AZIMUT PI-O AZIMUT PI-O CAZ PI-O AZO-PI
PI PC PT O O O
° 308 240 150 330 218 38 184 184 4 PUNTO NORTE 1000.000 983.142 978.932 939.766 939.766 939.766
´ 26 10 10 10 26 26 18 18 18 PI ESTE 1000.000 970.597 1026.548 995.467 995.467 995.467
" 6.00 20.00 20.00 20.00 6.00 6.00 13.00 13.00 12.93
RADIANES 5.38321 4.19180 2.62100 5.76259 3.81241 0.67082 3.21670 3.21670 0.07511
DESDE PI DESDE PI DESDE PT DESDE PC DESDE PI
0.07511
Abscisado desde el PI
COORDENADAS DE PUNTOS Pi DESDE EL CENTRO (O) Abscisa dada
ABSCISA PC
K0+548.609 K0+550.000 K0+560.000 K0+570.000 K0+580.000 K0+590.000 K0+600.000 K0+610.000 K0+608.180
PT
arreglar abscisas
Abscisado desde el PI
COORDENADAS DE PUNTOS Pi DESDE EL CENTRO (O) Abscisa dada ABSCISA
PC
PT
K6+549.037 K6+550.000 K6+560.000 K6+570.000 K6+580.000 K6+590.000 K6+600.000 K6+608.508
CURVA CIRCULAR SIMPLE DERECHA
SOBREANCHO
SI
TIPO DE VEHICULO Y DISTANCIA ENTRE LLANTA DELANTERA Y TRASERA (L) SE REQUIERE DEFINIR EL VEHÍCULO DE DISEÑO
SOBREANCHO 1.288
1.854 CON FACTOR DE SEGURIDA
C2G 8
"D" "I"
D
RADIANES
1.05020 2.24161 1.19141 1.19141
FORMULA NORM
1.280
FORMULA APROXIM
GRADOS
60.17222 128.43500 68.26278 DEBEN SER 68.26278 IGUALES
Aze CON Δ Y Azs Azs CON Δ Y Aze RADIO con T y Δ RADIO CON Gc y C
60 10 128 26 50.000 86.420 METER Gc
2
ELEMENTOS GRADOS 308.43500 240.17222 150.17222 330.17222 218.43500 38.43500 184.30361 184.30361 4.30359
Tangente (T)
33.893
Externa E Flecha (F o M) Cuerda Larga (CL)
10.404 8.612 56.109 ´
Grado deCurvatura arco Grado deCurvatura cuerda Diferencia Grado Curvatura LCH por arco LCH por cuerda
° 11 11 0
En funcionde R y Δ
" 27 28 1
59.571 59.471
RADIANES 32.96 0.20000 42.03 0.20033 9.07
DE EL CENTRO (O) Abscisa dada
K0+582.502
Cada cuantos metros desea saber las coordena de los puntos Pi sobre la curva
L 0.000 1.391 11.391 21.391 31.391 41.391 51.391 61.391 59.571
° 0 0 6 12 17 23 29 35 34
´ 0 47 31 15 59 42 26 10 7
DEFLEXIÓN δi " 0.00 48.13 34.61 21.09 7.57 54.05 40.53 27.01 53.00
34
7
53.00
0.59571
DE EL CENTRO (O) Abscisa dada
K6+582.930
L 0.000 0.963 10.963 20.963 30.963 40.963 50.963 59.471
°
´ 0 0 6 12 17 23 29 34
10
AZIM RADIANES 0.00000 0.01391 0.11391 0.21391 0.31391 0.41391 0.51391 0.61391 0.59571
GRADOS 0 0.7967025 6.52628036 12.2558582 17.9854361 23.7150139 29.4445918 35.1741697 34.1313883
34.1313889 VERIFICAC
Cada cuantos metros desea saber las coordena de los puntos Pi sobre la curva
° 330 331 343
´ 10 45 13
6 17 29 40 38
8 36 3 31 26
38
26
10
DEFLEXIÓN δi " RADIANES GRADOS X 0 0.00 0.00000 0.00000 33 5.32 0.00963 0.55148 16 51.80 0.10963 6.28105 0 38.28 0.20963 12.01063 44 24.76 0.30963 17.74021 28 11.24 0.40963 23.46979 11 57.72 0.50963 29.19937 4 27.63 0.59471 34.07434
Y 0.000 0.962 10.875 20.354 29.021 36.532 42.586 46.408
0.000 0.009 1.197 4.330 9.284 15.862 23.800 31.390
ECHA
OBREANCHO FORMULA NORMAL
1.30
CON FACTOR DE SEGURIDAD AASHTO
1.90
FORMULA APROXIMADA
1.30 rad 1.05020 2.24161
20.00 6.00 6
38
METER EXT Tangente dada En funcionde R y Δ
GRADOS 11.45916 11.47834
1.00
0.11578
grados 60.17222 60.17222 128.43500 128.43500 6.63361
90 293.17405
En funcionde E y Δ
10.404
En funcionde T y Δ
AZIMUT " RADIANES 20.00 5.763 56.26 5.790 29.22 5.990
GRADOS 330.172 331.766 331.766 343.225 343.225
35.14 8.10 41.06 14.02 6.00
6.143 17.602 29.061 40.521 38.435
0.107 0.307 0.507 0.707 0.671
366.143 377.602 389.061 400.521 398.435
PROYECCIONES NS EW N 43.376 -24.870 44.051 -23.654 47.872 -14.431 49.713 47.659 43.705 38.009 39.166
5.351 15.120 24.287 32.486 31.081
COORDENADAS E 983.142 970.597 983.817 971.813 987.638 981.036 989.479 987.425 983.471 977.774 978.932
1000.818 1010.588 1019.754 1027.953 1026.548
6.00
a b c d x*cos(Aze) y*cos(AZe1) x*sen(Aze) y*sen(AZe1) 0.000 0.000 0.000 0.000 0.479 -0.008 0.835 0.005 5.409 -1.038 9.434 0.595 10.124 -3.757 17.657 2.154 14.435 -8.054 25.177 4.618 18.171 -13.760 31.692 7.889 21.182 -20.647 36.944 11.838 23.083 -27.232 40.260 15.613
PROYECCIONES N-S E-W a+b c+d 0.000 0.000 0.471 0.840 4.371 10.030 6.367 19.811 6.381 29.795 4.410 39.582 0.535 48.782 -4.149 55.873
COORDENADAS N E 983.142 970.597 983.613 971.437 987.513 980.627 989.509 990.409 989.523 1000.392 987.552 1010.179 983.677 1019.379 978.993 1026.470
PERALTE DATOS VELOCIDAD RADIO MIN ANCHO DEL CARRIL tabla
BOMBEO % PERALTE % ΔS MAXIMA%
40 50 3.5 3.5 2 7.8 0.96
PENDIENTE LONGITUDINAL DEL EJE DE LA VÍA
5
LCH POR ARCO
59.571
a (cada cuanto las abscisas del peralte)
10
ABSCISAS DE LOS PUNTOS SINGULARESDEL DIAGRAMA DE PERALTES PC (D) K0+548.609 menos Ltp 35.729 A K0+512.880 menos Lp 28.438 B K0+520.172 menos (Lp-N) 21.146 C K0+527.463 Abscisa del Pc+Lch PT (D') K0+608.180 más (Lp-N) 21.146 C' K0+629.325 más Lp 28.438 B' K0+636.617 más Ltp 35.729 A' K0+643.909
PERALTE SOBREANCHO
1.300
ANCHO DE LA CALZADA (DOS CARRILES)
7 7.00
NUMERO DE CARRILES
2
BOMBEO 1/100 0.02 PERALTE 1/100 0.078 ΔS MINIMA% 0.35 P LONGITUDINA 0.05 L DEL EJE DE LA VÍA 1/100 INGRESAR R Y Δ ATRÁS
548.609 SI DAN PI MIRAR ATRÁS
DISTANCIAS DEL PERALTE Longitud de aplanamiento (N) Longitud de Transición del Peralte (Lp) Longitud total de Transición del Peralte (Ltp) Lp -N
7.292 7.292 28.438 28.438 35.729 35.729 35.729 21.146
COTAS DE LOS PUNTOS SINGULARES PC (D) A B C PT(D') C' B' A'
500.000 498.214 498.578 498.943 502.979 504.036 504.400 504.765
BORDE EXTERNO Cota borde Izquierdo
∆ h (m)
∆S
S
504.695 506.961
0.070 0.608
0.0096 0.0096
NO NO
506.557
0.512
0.0096
NO
506.153
0.416
0.0096
NO
505.749 505.345
0.320 0.224
0.0096 0.0096
NO NO
504.941 504.537 504.400 506.557 506.153 505.749 505.345 504.941 504.537
0.128 0.032 0.000 -0.512 -0.416 -0.320 -0.224 -0.128 -0.032
0.0096 0.0096
NO NO NO NO NO NO NO NO NO
504.133 504.106 505.749 505.345 504.941 504.537 504.133 503.729 503.325 503.252 503.343 502.843 502.343 501.843 501.343 500.843 500.343 500.273 499.760 498.733 497.207 495.181
0.064 0.070 -0.320 -0.224 -0.128 -0.032 0.064 0.160 0.256 0.273 0.273 0.273 0.273 0.273 0.273 0.273 0.273 0.273 0.190 0.094 -0.002 -0.098
NO NO NO NO NO NO NO NO NO NO NO NO NO NO NO NO NO NO NO NO NO NO
492.654 489.628 486.101 499.013 498.568 497.972 497.376 496.780 496.184 495.588 494.992 494.396 498.578 498.568 497.972 497.376 496.780 496.184 495.588 494.992 498.144
-0.194 -0.290 -0.386 0.070 -0.002 -0.098 -0.194 -0.290 -0.386 -0.482 -0.578 -0.674 0.000 0.002 0.098 0.194 0.290 0.386 0.482 0.578 0.070
0.0096 0.0096 0.0096 0.0096 0.0096 0.0096 0.0096 0.0096 0.0096 0.0096 0.0096 0.0096 0.0096 0.0096 0.0096 0.0096 0.0096 0.0096
NO NO NO NO NO NO NO NO NO NO NO NO NO NO NO NO NO NO NO NO NO
O
BORDE INT Pt (1/100)
Pt (%)
-0.020 -0.174
-2.0 -17.4
-0.146
PUNTO
ABSCISA
Diferencia de abscisas
X
Pt(%)
Pt (1/100)
-2.0 -2.0
-0.020 -0.020
S
504.765 K0+643.909 507.570 700
-56.091
7.292 63.383
-14.6
507.070
690
-46.091
53.383
-2.0
-0.020
-0.119
-11.9
506.570
680
-36.091
43.383
-2.0
-0.020
-0.092 -0.064
-9.2 -6.4
506.070 505.570
670 660
-26.091 -16.091
33.383 23.383
-2.0 -2.0
-0.020 -0.020
-0.037 -0.009 0.000 -0.146 -0.119 -0.092 -0.064 -0.037 -0.009
-3.7 -0.9 0.0 -14.6 -11.9 -9.2 -6.4 -3.7 -0.9
-6.091 3.909
13.383 3.383 0.0000 -53.383 -43.383 -33.383 -23.383 -13.383 -3.383
-2.0 -2.0 -2.0 -2.0 -2.0 -2.0 -2.0 -2.0 -2.0
-0.020 -0.020 -0.020 -0.020 -0.020 -0.020 -0.020 -0.020 -0.020
0.00 -2.44 -1.98 -1.53 -1.07 -0.61 -0.15
6.617 7.292 -33.383 -23.383 -13.383 -3.383 6.617 16.617 26.617 28.438 -1.820 8.180 18.180 28.180 38.180 48.180 58.180 28.438 19.829 9.828 -0.172 -10.1715
-2.0 -2.0 9.2 6.4 3.7 0.9 -1.8 -4.6 -7.3 -7.8 -7.8 -7.8 -7.8 -7.8 -7.8 -7.8 -7.8 -7.8 -5.4 -2.7 0.0 2.8
-0.020 -0.020 0.092 0.064 0.037 0.009 -0.018 -0.046 -0.073 -0.078 -0.078 -0.078 -0.078 -0.078 -0.078 -0.078 -0.078 -0.078 -0.054 -0.027 0.000 0.028
0.30 0.33 -1.53 -1.07 -0.61 -0.15 0.30 0.76 1.22 1.30 1.30 1.30 1.30 1.30 1.30 1.30 1.30 1.30 0.91 0.45 -0.01 -0.46
0.018 0.020 -0.092 -0.064 -0.037 -0.009 0.018 0.046 0.073 0.078 0.078 0.078 0.078 0.078 0.078 0.078 0.078 0.078 0.054 0.027 0.000 -0.028
A'
COTA
B'
1.8 2.0 C' -9.2 -6.4 -3.7 -0.9 1.8 4.6 7.3 7.8 D' (PT) 7.8 7.8 7.8 7.8 7.8 7.8 7.8 7.8 D (PC) 5.4 2.7 0.0 -2.8
505.070 650 504.570 640 504.400 K0+636.617 507.070 690 506.570 680 506.070 670 505.570 660 505.070 650 504.570 640 504.070 630 504.036 K0+629.325 506.070 670 505.570 660 505.070 650 504.570 640 504.070 630 503.570 620 503.070 610 502.979 K0+608.180 503.070 610 502.570 600 502.070 590 501.570 580 501.070 570 500.570 560 500.070 550 500.000 K0+548.609 499.570 540 498.639 530 497.209 520 495.278 510
-53.383 -43.383 -33.383 -23.383 -13.383 -3.383 6.617 -40.675 -30.675 -20.675 -10.675 -0.675 9.325 19.325 -1.820 8.180 18.180 28.180 38.180 48.180 58.180 8.609 18.609 28.609 38.609
-0.055 -0.083 -0.110 0.020 0.000 -0.028 -0.055 -0.083 -0.110 -0.138 -0.165 -0.192 0.000 0.000 -0.028 -0.055 -0.083 -0.110 -0.138 -0.165 -0.020
-5.5 -8.3 -11.0 2.0 0.0 -2.8 -5.5 -8.3 -11.0 -13.8 -16.5 -19.2 0.00 -0.05 -2.79 -5.53 -8.28 -11.02 -13.76 -16.50 -2.00
C
B
A
492.848 500 489.917 490 486.487 480 498.943 K0+527.463 498.570 520 498.070 510 497.570 500 497.070 490 496.570 480 496.070 470 495.570 460 495.070 450 498.578 K0+520.172 498.570 520 498.070 510 497.570 500 497.070 490 496.570 480 496.070 470 495.570 460 498.214 K0+512.880
48.609 58.609 68.609 7.463 17.463 27.463 37.463 47.463 57.463 67.463 77.463 0.172 10.172 20.172 30.172 40.172 50.172 60.172
-20.172 -30.172 -40.172 7.292 -0.172 -10.172 -20.172 -30.172 -40.172 -50.172 -60.172 -70.172 0.000 0.172 10.172 20.172 30.172 40.172 50.172 60.172 7.292
5.5 8.3 11.0 -2.0 -2.0 -2.0 -2.0 -2.0 -2.0 -2.0 -2.0 -2.0 -2.0 -2.0 -2.0 -2.0 -2.0 -2.0 -2.0 -2.0 -2.0
0.055 0.083 0.110 -0.020 -0.020 -0.020 -0.020 -0.020 -0.020 -0.020 -0.020 -0.020 -0.020 -0.020 -0.020 -0.020 -0.020 -0.020 -0.020 -0.020 -0.020
-0.92 -1.38 -1.84 0.33 -0.01 -0.46 -0.92 -1.38 -1.84 -2.29 -2.75 -3.21 0.00
BORDE INTERNO ∆h
Cota borde Derecho
∆ h con S
Cota borde Derechocon S
0.07 0.07
504.695 507.500
0.070 0.070
504.695 507.500
0.07
507.000
0.070
507.000
0.07
506.500
0.070
506.500
0.07 0.07
506.000 505.500
0.070 0.070
506.000 505.500
0.07 0.07 0.07 0.07 0.07 0.07 0.07 0.07 0.07
505.000 504.500 504.330 507.000 506.500 506.000 505.500 505.000 504.500
0.070 0.070 0.070 0.021 0.030 0.039 0.049 0.058 0.067
505.000 504.500 504.330 507.048 506.539 506.030 505.521 505.012 504.503
0.07 0.07 -0.320 -0.224 -0.128 -0.032 0.064 0.160 0.256 0.273 0.273 0.273 0.273 0.273 0.273 0.273 0.273 0.273 0.190 0.094 -0.002 -0.098
504.000 503.966 506.390 505.794 505.198 504.602 504.006 503.410 502.814 502.706 502.797 502.297 501.797 501.297 500.797 500.297 499.797 499.727 499.379 498.545 497.210 495.376
0.076 0.077 -0.181 -0.156 -0.106 -0.031 0.069 0.194 0.344 0.374 0.374 0.374 0.374 0.374 0.374 0.374 0.374 0.374 0.240 0.106 -0.002 -0.085
503.994 503.959 506.250 505.725 505.176 504.601 504.001 503.375 502.725 502.604 502.695 502.195 501.695 501.195 500.695 500.195 499.695 499.626 499.330 498.533 497.210 495.363
-0.194 -0.290 -0.386 0.07 0.07 0.07 0.07 0.07 0.07 0.07 0.07 0.07 0.07 0.07 0.07 0.07 0.07 0.07 0.07 0.07 0.07
493.041 490.207 486.872 498.873 498.500 498.000 497.500 497.000 496.500 496.000 495.500 495.000 498.508 498.500 498.000 497.500 497.000 496.500 496.000 495.500 498.144
-0.143 -0.176 -0.183 0.077 0.070 0.061 0.052 0.042 0.033 0.024 0.015 0.006 0.070 0.070 0.070 0.070 0.070 0.070 0.070 0.070 0.070
492.990 490.093 486.670 498.866 498.500 498.009 497.518 497.027 496.536 496.045 495.555 495.064 498.508 498.500 498.000 497.500 497.000 496.500 496.000 495.500 498.144
DATOS VELOCIDAD RADIO a Aze Azs DELTA Δ Δ CON Aze y AZAs
40 50 10
3.5
ANCHO DEL CARRIL
3.5
CAZs CAZe AZe1 CAZe1 AZs1 CAZs1 AZIMUT PI-O AZIMUT PI-O CAZ PI-O AZO-PI
DEBEN SER IGUALES
° 103 171 261 81 193 13 227 227 47
°
´
"
351 283 68 68
54 38 15 15
20.00 34.00 46.00 46.00 7
ANCHO DE LA CALZADA (DOS CARRILES)
´ 38 54 54 54 38 38 46 46 46
" 34.00 20.00 20.00 20.00 34.00 34.00 27.00 27.00 26.93
7.00
RADIANES 1.80891 3.00032 4.57111 1.42952 3.37970 0.23811 3.97541 3.97541 0.83382
PUNTO PI NORTE ESTE PI PC PT O
-33.555 7.994 -40.595
4.772 -32.936 -44.730
DESDE PI DESDE PI DESDE PT
O O
-40.595 -40.595
-44.730 -44.730
DESDE PC DESDE PI
COORDENADAS DE PUNTOS Pi DESDE EL CENTRO (O) Abscisado desde el PI Abscisa dada
ABSCISA PC
PT
Abscisado desde el PI
COORDENADAS DE PUNTOS Pi DESDE EL CENTRO (O) Abscisa dada ABSCISA
PC
PT
CURVA CIRCULAR SIMPLE IZQUIERDA
SOBREANCHO
"D" "I"
I NUMERO DE CARRILES
SI RADIANES
6.14191 4.95050 1.19141 1.19141
TIPO DE VEHICULO Y DISTANCIA ENTRE LLANTA DELANTERA Y TRASERA (L) SE REQUIERE DEFINIR EL VEHÍCULO DE DISEÑO
C2G 8
SOBREANCH 1.288 1.854 1.280
GRADOS
351.90556 283.64278 68.26278 DEBEN SER 68.26278 IGUALES
Aze CON Δ Y Azs Azs CON Δ Y Aze RADIO con T y Δ RADIO CON Gc y C
351 283 50 128.307
2
3.141593 GRADOS 103.64278 171.906 261.90556 81.90556 193.64278 13.64278 227.77417 227.77417 0.83382 47.77415
ELEMENTOS Tangente (T)
33.893
Externa E Flecha (F o M) Cuerda Larga (CL)
10.404 8.612 56.109 ´
Grado deCurvatura arco Grado deCurvatura cuerda Diferencia Grado Curvatura LCH por arco LCH por cuerda deflexion por cuerda unidad
° 11 11 0
" 27 28 1
32.96 42.03 9.07
44
21.01
59.571 59.471 5
OS Pi DESDE EL CENTRO (O) Abscisa dada
K0+160.000
Cada cuantos metros desea saber las coordena de los puntos Pi sobre la curva
K0+126.107 K0+130.000 K0+140.000 K0+150.000 K0+160.000 K0+170.000 K0+180.000 K0+185.678
L 0.000 3.893 13.893 23.893 33.893 43.893 53.893 59.571
° 0 2 7 13 19 25 30 34
´ 0 13 57 41 25 8 52 7
DEFLEXIÓN δi " 0.00 48.87 35.35 21.83 8.32 54.80 41.28 53.00
arreglar abscisas
34
7
53.00
0.59571
SA
OS Pi DESDE EL CENTRO (O) Abscisa dada
SA K0+095.716 K0+100.000 K0+110.000 K0+120.000 K0+130.000 K0+140.000 K0+150.000 K0+155.187 JAMES C
K0+129.609
L 0.000 4.284 14.284 24.284 34.284 44.284 54.284 59.471
°
´ 0 2 8 13 19 25 31 34
RADIANES 0.00000 0.03893 0.13893 0.23893 0.33893 0.43893 0.53893 0.59571
10
GRADOS 0 2.23024289 7.95982075 13.6893986 19.4189765 25.1485543 30.8781322 34.1313883
34.1313889 VERIFICAC
Cada cuantos metros desea saber las coordena de los puntos Pi sobre la curva
° 81 77 65 54 43 31 20 13 13
10
DEFLEXIÓN δi " RADIANES GRADOS X 0 0.00 0.00000 0.00000 27 15.37 0.04284 2.45427 11 1.85 0.14284 8.18385 54 48.33 0.24284 13.91343 38 34.81 0.34284 19.64300 22 21.29 0.44284 25.37258 6 7.77 0.54284 31.10216 4 27.63 0.59471 34.07434
0.000 4.278 14.090 23.340 31.660 38.717 44.231 46.408
E IZQUIERDA SOBREANCHO FORMULA NORMAL CON FACTOR DE SEGURIDAD AASHTO FORMULA APROXIMADA
54 38 METER Gc
1.30 1.90 1.30
rad 6.14191 4.95050
20.00 34.00 4
28
0.00
0.07796
grados 351.90556 351.90556 283.64278 283.64278 4.46667
Tangente dada En funcionde R y Δ
RADIANES GRADOS 0.20000 11.45916 0.20033 11.47834 JAMES C
JAMES C 0.10016742
5.73917
10.404
En funcionde T y Δ
´ 54 26 59 31 4 36 8 38
AZIMUT " RADIANES 20.00 1.430 42.25 1.352 9.29 1.152 36.33 0.952 3.37 0.752 30.41 0.552 57.45 0.352 34.00 0.238
38
34.00
Y 0.000 0.183 2.026 5.782 11.300 18.361 26.684 31.390
GRADOS 81.906 77.445 65.986 54.527 43.068 31.608 20.149 13.643
77.445 65.986 54.527 43.068 31.608 20.149 13.643
a b c d x*cos(Aze) y*cos(AZe1) x*sen(Aze) y*sen(AZe1) 0.000 0.000 0.000 0.000 4.236 -0.026 -0.602 -0.182 13.950 -0.285 -1.984 -2.006 23.108 -0.814 -3.286 -5.724 31.344 -1.591 -4.458 -11.188 38.331 -2.585 -5.452 -18.179 43.790 -3.757 -6.228 -26.418 45.945 -4.420 -6.534 -31.077
PROYECCIONES NS EW N 7.040 49.502 10.869 48.804 20.348 45.672 29.016 40.719 36.527 34.143 42.582 26.206 46.940 17.223 48.589 11.793
PROYECCIONES N-S E-W a+b c+d 0.000 0.000 4.210 -0.784 13.664 -3.990 22.293 -9.011 29.753 -15.646 35.746 -23.630 40.033 -32.646 41.525 -37.612
COORDENADAS -33.555 -29.726 -20.247 -11.579 -4.068 1.987 6.345 7.994
COORDENADAS N -33.555 -29.345 -19.891 -11.261 -3.802 2.191 6.478 7.971
PERA DATOS VELOCIDAD
40
RADIO MIN
50
ANCHO DEL CARRIL
tabla Δ=ATAN(T/R) LCH=R*Δ T=TAN(Δ/2)
EN RAD, PI/180 PARA °
3.5
BOMBEO %
3.5 2
PERALTE %
7.8
ΔS MAXIMA%
0.96
PENDIENTE LONGITUDINAL DEL EJE DE LA VÍA
5
LCH POR ARCO
59.571
a (cada cuanto las abscisas del peralte)
10
ABSCISAS DE LOS PUNTOS SINGULARESDEL DIAGRAMA DE PERALTES PC (D) menos Ltp A menos Lp B menos (Lp-N) C Abscisa del Pc+Lch PT (D') más (Lp-N) C' más Lp B' más Ltp A'
548.609 35.729 512.880 28.438 520.172 21.146 527.463 608.180 21.146 629.325 28.438 636.617 35.729 643.909
COORDENADAS E 4.772 4.075 0.943 -4.010 -10.587 -18.524 -27.506 -32.936
COORDENADAS E 4.772 3.988 0.782 -4.238 -10.873 -18.858 -27.874 -32.840
PERALTE SOBREANCHO
1.300
ANCHO DE LA CALZADA (DOS CARRILES) BOMBEO 1/100
0.02
PERALTE 1/100
0.078
ΔS MINIMA%
0.35
P LONGITUDINAL DEL EJE DE LA VÍA 1/100
7 7.00
NUMERO DE CARRILES
2
0.05
INGRESAR R Y Δ ATRÁS
DISTANCIAS DEL PERALTE K0+126.107 SI DAN PI MIRAR ATRÁS
Longitud de aplanamiento (N) Longitud de Transición del Peralte (Lp) Longitud total de Transición del Peralte (Ltp) Lp -N
7.292 7.292 28.438 28.438 35.729 35.729 35.729 21.146
COTAS DE LOS PUNTOS SINGULARES PC (D) A B C PT(D') C' B' A'
500.000 498.214 498.578 498.943 502.979 504.036 504.400 504.765
(LADO IZQUIERDO DE LA VIA)PARTE INFERIOR Cota borde BORDE INTERNO Cota borde Derechocon ∆ h con S ∆h Derecho S Pt (1/100) S
Pt (%)
PUNTO
504.695 507.500
0.070 0.070
504.695 507.500
0.07 0.07
-0.020 -0.020
-2.0 -2.0
507.000
0.070
507.000
0.07
-0.020
-2.0
506.500
0.070
506.500
0.07
-0.020
-2.0
506.000 505.500 505.000
0.070 0.070 0.070
506.000 505.500 505.000
0.07 0.07 0.07
-0.020 -0.020 -0.020
-2.0 -2.0 -2.0
504.500
0.070
504.500
0.07
-0.020
-2.0
504.330 507.048 506.539 506.030 505.521 505.012 504.503 503.994 503.959
0.070 0.021 0.030 0.039 0.049 0.058 0.067 0.076 0.077
504.330 507.000 506.500 506.000 505.500 505.000 504.500 504.000 503.966
0.07 0.07 0.07 0.07 0.07 0.07 0.07 0.07 0.07
0.00 -2.44 -1.98 -1.53 -1.07 -0.61 -0.15 0.30 0.33
-0.020 -0.020 -0.020 -0.020 -0.020 -0.020 -0.020 -0.020 -0.020
-2.0 -2.0 -2.0 -2.0 -2.0 -2.0 -2.0 -2.0 -2.0
506.250 505.725
-0.181 -0.156
506.390 505.794
-0.320 -0.224
-1.53 -1.07
0.092 0.064
9.2 6.4
505.176 504.601 504.001 503.375 502.725 502.604 502.695 502.195 501.695 501.195 500.695 500.195 499.695 499.626 499.330 498.963 498.571 498.154
-0.106 -0.031 0.069 0.194 0.344 0.374 0.374 0.374 0.374 0.374 0.374 0.374 0.374 0.374 0.240 0.106 -0.002 -0.085
505.198 504.602 504.006 503.410 502.814 502.706 502.797 502.297 501.797 501.297 500.797 500.297 499.797 499.727 499.379 498.975 498.571 498.167
-0.128 -0.032 0.064 0.160 0.256 0.273 0.273 0.273 0.273 0.273 0.273 0.273 0.273 0.273 0.190 0.094 -0.002 -0.098
-0.61 -0.15 0.30 0.76 1.22 1.30 1.30 1.30 1.30 1.30 1.30 1.30 1.30 1.30 0.91 0.45 -0.01 -0.46
0.037 0.009 -0.018 -0.046 -0.073 -0.078 -0.078 -0.078 -0.078 -0.078 -0.078 -0.078 -0.078 -0.078 -0.054 -0.027 0.000 0.028
3.7 0.9 -1.8 -4.6 -7.3 -7.8 -7.8 -7.8 -7.8 -7.8 -7.8 -7.8 -7.8 -7.8 -5.4 -2.7 0.0 2.8
A'
B'
C'
D' (PT)
D (PC)
497.712 497.245 496.753 498.866 498.500 498.009 497.518 497.027 496.536 496.045 495.555 495.064 498.508 498.500 498.000 497.500 497.000 496.500 496.000 495.500 498.144
-0.143 -0.176 -0.183 0.077 0.070 0.061 0.052 0.042 0.033 0.024 0.015 0.006 0.070 0.070 0.070 0.070 0.070 0.070 0.070 0.070 0.070
497.763 497.359 496.955 498.873 498.500 498.000 497.500 497.000 496.500 496.000 495.500 495.000 498.508 498.500 498.000 497.500 497.000 496.500 496.000 495.500 498.144
-0.194 -0.290 -0.386 0.07 0.07 0.07 0.07 0.07 0.07 0.07 0.07 0.07 0.07 0.07 0.07 0.07 0.07 0.07 0.07 0.07 0.07
-0.92 -1.38 -1.84 0.33 -0.01 -0.46 -0.92 -1.38 -1.84 -2.29 -2.75 -3.21 0.00
0.055 0.083 0.110 -0.020 -0.020 -0.020 -0.020 -0.020 -0.020 -0.020 -0.020 -0.020 -0.020 -0.020 -0.020 -0.020 -0.020 -0.020 -0.020 -0.020 -0.020
5.5 8.3 11.0 -2.00 -2.00 -2.00 -2.00 -2.00 -2.00 -2.00 -2.00 -2.00 -2.00 -2.00 -2.00 -2.00 -2.00 -2.00 -2.00 -2.00 -2.00
C
B
A
COTA
ABSCISA
Diferencia de abscisas
X
BORDE EXTERNO (LADO DERECHO DE LA VIA) PARTE SUPERIOR Pt (1/100) S Pt(%) ∆S -2.0 -17.4
-0.020 -0.174
NO NO
0.0096 0.0096
504.765 K0+643.909 507.570 700
-56.091
7.292 63.383
507.070
690
-46.091
53.383
-14.6
-0.146
NO
0.0096
506.570
680
-36.091
43.383
-11.9
-0.119
NO
0.0096
506.070 505.570 505.070
670 660 650
-26.091 -16.091 -6.091
33.383 23.383 13.383
-9.2 -6.4 -3.7
-0.092 -0.064 -0.037
NO NO NO
0.0096 0.0096 0.0096
504.570
640
3.909
3.383
-0.9
-0.009
NO
0.0096
0.0 -14.6 -11.9 -9.2 -6.4 -3.7 -0.9 1.8 2.0
0.000 -0.146 -0.119 -0.092 -0.064 -0.037 -0.009 0.018 0.020
NO NO NO NO NO NO NO NO NO
504.400 K0+636.617 507.070 690 506.570 680 506.070 670 505.570 660 505.070 650 504.570 640 504.070 630 504.036 K0+629.325
-53.383 -43.383 -33.383 -23.383 -13.383 -3.383 6.617
0.000 -53.383 -43.383 -33.383 -23.383 -13.383 -3.383 6.617 7.292
506.070 505.570
-40.675 -30.675
-33.383 -23.383
-9.2 -6.4
-0.092 -0.064
NO NO
-20.675 -10.675 -0.675 9.325 19.325
-13.383 -3.383 6.617 16.617 26.617 28.438 -1.820 8.180 18.180 28.180 38.180 48.180 58.180 28.438 19.829 9.828 -0.172 -10.172
-3.7 -0.9 1.8 4.6 7.3 7.8 7.8 7.8 7.8 7.8 7.8 7.8 7.8 7.8 5.4 2.7 0.0 -2.8
-0.037 -0.009 0.018 0.046 0.073 0.078 0.078 0.078 0.078 0.078 0.078 0.078 0.078 0.078 0.054 0.027 0.000 -0.028
NO NO NO NO NO NO NO NO NO NO NO NO NO NO NO NO NO NO
670 660
505.070 650 504.570 640 504.070 630 503.570 620 503.070 610 502.979 K0+608.180 503.070 610 502.570 600 502.070 590 501.570 580 501.070 570 500.570 560 500.070 550 500.000 K0+548.609 499.570 540 499.070 530 498.570 520 498.070 510
-1.820 8.180 18.180 28.180 38.180 48.180 58.180 8.609 18.609 28.609 38.609
497.570 500 497.070 490 496.570 480 498.943 K0+527.463 498.570 520 498.070 510 497.570 500 497.070 490 496.570 480 496.070 470 495.570 460 495.070 450 498.578 K0+520.172 498.570 520 498.070 510 497.570 500 497.070 490 496.570 480 496.070 470 495.570 460 498.214 K0+512.880
48.609 58.609 68.609 7.463 17.463 27.463 37.463 47.463 57.463 67.463 77.463 0.172 10.172 20.172 30.172 40.172 50.172 60.172
-20.172 -30.172 -40.172 7.292 -0.172 -10.172 -20.172 -30.172 -40.172 -50.172 -60.172 -70.172 0.000 0.172 10.172 20.172 30.172 40.172 50.172 60.172 7.292
-5.5 -8.3 -11.0 2.0 0.0 -2.8 -5.5 -8.3 -11.0 -13.8 -16.5 -19.2 0.0 0.0 -2.8 -5.5 -8.3 -11.0 -13.8 -16.5 -2.0
-0.055 -0.083 -0.110 0.020 0.000 -0.028 -0.055 -0.083 -0.110 -0.138 -0.165 -0.192 0.000 0.000 -0.028 -0.055 -0.083 -0.110 -0.138 -0.165 -0.020
NO NO NO NO NO NO NO NO NO NO NO NO NO NO NO NO NO NO NO NO NO
0.0096 0.0096 0.0096 0.0096 0.0096 0.0096 0.0096 0.0096 0.0096 0.0096 0.0096 0.0096 0.0096 0.0096 0.0096 0.0096 0.0096 0.0096
DE LA VIA) PARTE SUPERIOR ∆ h (m)
Cota borde Izquierdo
0.070 0.608
504.695 506.961
0.512
506.557
0.416
506.153
0.320 0.224 0.128
505.749 505.345 504.941
0.032
504.537
0.000 -0.512 -0.416 -0.320 -0.224 -0.128 -0.032 0.064 0.070
504.400 506.557 506.153 505.749 505.345 504.941 504.537 504.133 504.106
-0.320 -0.224
505.749 505.345
-0.128 -0.032 0.064 0.160 0.256 0.273 0.273 0.273 0.273 0.273 0.273 0.273 0.273 0.273 0.190 0.094 -0.002 -0.098
504.941 504.537 504.133 503.729 503.325 503.252 503.343 502.843 502.343 501.843 501.343 500.843 500.343 500.273 499.760 499.164 498.568 497.972
-0.194 -0.290 -0.386 0.070 -0.002 -0.098 -0.194 -0.290 -0.386 -0.482 -0.578 -0.674 0.000 0.002 0.098 0.194 0.290 0.386 0.482 0.578 0.070
497.376 496.780 496.184 499.013 498.568 497.972 497.376 496.780 496.184 495.588 494.992 494.396 498.578 498.568 497.972 497.376 496.780 496.184 495.588 494.992 498.144