Caminos 2 - Calculo Geométrico de Una Curva Espiralizada
17
Datos: Acimut de la tangente de en 35 Acimut de la tangente de sa 145 Coordenadas del PI Abscisa del PI K 2+492.370 Radio de la curva circular 80 Cuerda unidad 10 Longitud de la espiral 110 42:42:12 21:21:06 0.031049749 45 0.785398163397448 1 Calculo Geométrico de una curva espiralizada : 8179342.11 – E: 273204.18 _= _ =
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Plantilla para una curvas de transicion
Transcript of Caminos 2 - Calculo Geométrico de Una Curva Espiralizada
Solución:Datos: K
Acimut de la tangente de entrada 35 110º00'00''
Acimut de la tangente de salida 145
Coordenadas del PIAbscisa del PI K 2+492.370Radio de la curva circular central 80
Cuerda unidad 10
Longitud de la espiral 110 DEFLEXION K2+320
42:42:12 21:21:06 0.0310497491 42:42:1245 0.785398163397448 1 0.707106781
DEFLEXION K2+320
DEFLEXION K2+330
DEFLEXION
Calculo Geométrico de una curva espiralizada
N: 8179342.11 – E: 273204.18
𝜃_𝑒∆_𝑐
𝐿_𝑒=𝑅_𝑐 =
𝑥_𝑐𝑦_𝑐𝜃𝜃_𝑒𝐿_𝑒𝐿
𝜃𝜃_𝑒𝐿_𝑒𝐿
𝜃𝜃_𝑒𝐿_𝑒𝐿
𝜃
K2+340
DEFLEXION K2+350
TE.(K2+350)
DEFLEXION K2+360
TE.(K2+350)
DEFLEXION
𝜃𝜃_𝑒𝐿_𝑒𝐿
𝜃𝜃_𝑒𝐿_𝑒𝐿
𝜃𝜃_𝑒𝐿_𝑒𝐿
𝜃
K2+370
TE.(K2+370)
DEFLEXION K2+380
TE.(K2+380)
DEFLEXION K2+390
TE.(K2+390)
𝜃𝜃_𝑒𝐿_𝑒𝐿
𝜃𝜃_𝑒𝐿_𝑒𝐿
𝜃𝜃_𝑒𝐿_𝑒𝐿
DEFLEXION K2+400
TE.(K2+400)
DEFLEXION K2+410
TE.(K2+410)
DEFLEXION K2+420
TE.(K2+420)
𝜃𝜃_𝑒𝐿_𝑒𝐿
𝜃𝜃_𝑒𝐿_𝑒𝐿
𝜃𝜃_𝑒𝐿_𝑒𝐿
93.80839:23:27 0.6875
31º13'06''
104.913 24.370
0º04'40'' 0.00135530
39º23'27''110 X 4.884
4.884 Y 0.0022064
0º04'39.55'' 0.0013553
39º23'27.05''110 X 4.884 9.965
4.884 Y 0.0022064 0.0210.0004518 0.02588432292 0º01'33.180''
4.884
N 8179204.448E 273100.447
0º43'16.28'' 0.0125871 0º00'45.31''
39º23'27.05''110 X 14.884
14.884 Y 0.06244810.0041957 0.24039557967 0º14'25.41''
14.884
8179196.91235º00'00.00''35º14'25.41''
N 8179209.068E
𝜃_𝑒∆_𝑐𝑥_𝑐𝑦_𝑐𝜃𝜃_𝑒𝐿_𝑒𝐿
𝜃𝜃_𝑒𝐿_𝑒𝐿
𝜃𝜃_𝑒𝐿_𝑒𝐿
𝜃
2º00'56.93'' 0.035182639º23'27.05''
110 X 24.881 24.884 Y 0.2918021
0.0117274 0.67193112274 0º40'18.94'' 24.883
8179196.91235º00'00.00''35º40'18.94''
N 8179217.127 8179196.912E 273117.021 273102.511
3º57'41.49'' 0.0691417
39º23'27.05''110 X 34.867
34.884 Y 0.80370520.0230463 1.32045575163 1º19'13.69''
34.877
8179196.91235º00'00.00''36º19'13.69''
N 8179225.013 8179196.912E 273123.169 273102.511
6º33'29.98'' 0.1144644
39º23'27.05''110 X 44.825
44.884 Y 1.71093800.0381506 2.18586645395 2º11'09.16''
44.858
8179196.91235º00'00.00''37º11'09.16''
N 8179225.013 8179196.912E 273123.169 273102.511
𝜃𝜃_𝑒𝐿_𝑒𝐿
𝜃𝜃_𝑒𝐿_𝑒𝐿
𝜃𝜃_𝑒𝐿_𝑒𝐿
𝜃
9º48'22.38'' 0.171150839º23'27.05''
110 X 54.723 54.884 Y 3.1246016
0.0570361 3.26792834322 2º11'09.16'' 54.813
8179196.91235º00'00.00''37º11'09.16''
N 8179225.013 8179196.912E 273123.169 273102.511
13º42'18.70'' 0.239200839º23'27.05''
110 X 64.514 64.884 Y 5.1523299
0.0796949 4.56618286523 4º33'58.19'' 64.719
8179196.91235º00'00.00''39º33'58.19''
N 8179246.803 8179196.912E 273143.735 273102.511
18º15'18.94'' 0.239200839º23'27.05''
110 X 74.457 74.884 Y 5.9464132
0.0796949 4.56618286523 4º33'58.19'' 74.694
8179196.91235º00'00.00''39º33'58.19''
N 8179246.803 8179196.912E 273143.735 273102.511
𝜃𝜃_𝑒𝐿_𝑒𝐿
𝜃𝜃_𝑒𝐿_𝑒𝐿
𝜃𝜃_𝑒𝐿_𝑒𝐿
23º27'23.09'' 0.409391739º23'27.05''
110 X 83.472 84.884 Y 11.4456655
0.1362695 7.80766658138 7º48'27.71'' 84.253
8179196.91235º00'00.00''42º48'27.71''
N 8179258.723 8179196.912E 273159.764 273102.511
29º18'31.17'' 0.511532639º23'27.05''
110 X 92.431 94.884 Y 15.8788718
0.1701307 9.74777387027 9º44'52.03'' 93.785
8179196.91235º00'00.00''44º44'52.03''
N 8179263.519 8179196.912E 273168.534 273102.511
35º48'43.16'' 0.625037139º23'27.05''
110 X 100.860 104.884 Y 21.2498728
0.2076501 11.8974723813 11º53'50.87'' 103.074
8179196.91235º00'00.00''46º53'50.87''
N 8179263.519 8179196.912
𝜃𝜃_𝑒𝐿_𝑒𝐿
𝜃𝜃_𝑒𝐿_𝑒𝐿
𝜃𝜃_𝑒𝐿_𝑒𝐿
E 273168.534 273102.511
1º25'38.59'' 3.4076333293 0.05947442
360:00:00
357º53'27.77'' 7º09'59.92''365º03'27.69''372º13'27.61'' 12º13'27.61'' 3º06'55.26''
19º23'27.53'' 6º13'50.52''25º37'18.05''
8.69399999999996
DEFLEXION K2+570 0º14'45.83'' 0.00429463 0.00429463
39º23'27.05''110 X 8.694
8.694 Y 0.01244580.0014315 0.08202128 0º04'55.28''
8.694 145:00:00 180:00:00
8179196.91235º00'00.00''
324º55'04.72''N 8179263.519 8179196.91E 273168.534 273102.511
DEFLEXION K2+560 1º08'15.59'' 0.019856 0.00429463
39º23'27.05''110 X 18.693
18.694 Y 0.12372590.0066186 0.3792204 0º22'45.21''
18.694 145:00:00 180:00:00
8179196.91235º00'00.00''
324º37'14.79''N 8179263.519 8179196.91E 273168.534 273102.511
DEFLEXION K2+550 2º40'49.27'' 0.046781 0.00429463
39º23'27.05''110 X 28.688
28.694 Y 0.44737470.0155934 0.89343473 0º53'36.33''
28.691 145:00:00 180:00:00
8179196.91235º00'00.00''
324º06'23.67''N 8179263.519 8179196.91E 273168.534 273102.511
𝜃𝜃_𝑒𝐿_𝑒𝐿
𝜃𝜃_𝑒𝐿_𝑒𝐿
𝜃𝜃_𝑒𝐿_𝑒𝐿
