Elementos Geométricos y Deflexiones

Datos iniciales Elementos geométricos de la curva COORDENADAS T = R * Tan (Δ/2) Gs=((180*Arco)/((pi()*R)) Ls=(Δen radianes)*R CL = 2·RSen(Δ/2) = R(1/Cos(Δ/2) – 1 M = R[1 – Cos(Δ/2)] Punto Radio Norte Este Acimut Deflex Sentido de Curva Tangente Grado de curvatura Longitud de la curva Cuerda Larga Externa Abscisa BOP 1150000 1148036 232.8533 K0+000 PI 1 76 1149900 1147904 153.2325 79.6208 Izquierda 40 63.3442 7.5389 105.6131 97.31790 22.9368 17.6193 10 165.6019 PI 2 76 1149674 1148018 234.9167 81.6842 Derecha 40 65.6989 7.5389 108.3500 99.40442 24.4607 18.5049 10 PI 3 84 1149556 1147850 200.2344 34.6822 Izquierda 50 26.2292 6.8209 50.8468 50.07406 3.9998 3.8180 10 PI 4 110.09 1149008 1147648 336.2750 136.0406 Derecha 50 272.7602 5.2044 261.3928 204.17652 184.0493 68.8857 10 PI 5 73.33 1149322 1147510 257.1014 79.1736 Izquierda 40 60.6354 7.8134 101.3303 93.45858 21.8222 16.8175 10 PI 6 94 1149262 1147248 218.0997 39.0017 Izquierda 40 33.2887 6.0953 63.9865 62.75827 5.7203 5.3922 10 PI 7 122 1149086 1147110 283.2989 65.1992 Derecha 40 78.0210 4.6964 138.8287 131.45858 22.8146 19.2203 10 EOP 1149112 1147000 2*R*SENO(RADIANES(Deflexion)) PI1 Estacion Abscisa DistanciaDeflexion UnitariaDeflexion DESDE PI Cuerda Azimut Coordenadas Norte Este Pc 102.2577 52.85331389 1149938.2509 1147954.4912 1 110 7.7423 2.9184 2.9184 7.7390 229.93487610 1149933.2696 1147948.5684 2 120 10.0000 3.7695 6.6879 17.7021 226.16541692 1149925.9908 1147941.7219 3 130 10.0000 3.7695 10.4574 27.5886 222.39595775 1149917.8767 1147935.8896 4 140 10.0000 3.7695 14.2268 37.3557 218.62649857 1149909.0674 1147931.1722 5 150 10.0000 3.7695 17.9963 46.9612 214.85703939 1149899.7155 1147927.6514 6 160 10.0000 3.7695 21.7657 56.3635 211.08758021 1149889.9824 1147925.3880 7 170 10.0000 3.7695 25.5352 65.5219 207.31812103 1149880.0365 1147924.4212 8 180 10.0000 3.7695 29.3047 74.3969 203.54866185 1149870.0497 1147924.7676 9 190 10.0000 3.7695 33.0741 82.9500 199.77920267 1149860.1947 1147926.4212 10 200 10.0000 3.7695 36.8436 91.1441 196.00974350 1149850.6418 1147929.3536 Pt 207.8707 7.8707 2.9668 39.8104 97.3179 193.04289724 1149843.4437 1147932.5284 2*R*SENO(RADIANES(Deflexion)) PI2 Estacion Abscisa DistanciaDeflexion UnitariaDeflexion DESDE PI Cuerda Azimut Coordenadas Norte Este Pc 331.9527 333.23250000 1149732.6587 1147988.4111 1 340 8.0473 3.0334 3.0334 8.0435 156.26587886 1149725.2955 1147991.6486 2 350 10.0000 3.7695 6.8028 18.0049 160.03533804 1149715.7359 1147994.5587 3 360 10.0000 3.7695 10.5723 27.8884 163.80479722 1149705.8770 1147996.1895 4 370 10.0000 3.7695 14.3418 37.6512 167.57425640 1149695.8895 1147996.5127 5 380 10.0000 3.7695 18.1112 47.2511 171.34371558 1149685.9459 1147995.5227 6 390 10.0000 3.7695 21.8807 56.6466 175.11317476 1149676.2181 1147993.2367 7 400 10.0000 3.7695 25.6501 65.7970 178.88263394 1149666.8743 1147989.6942 8 410 10.0000 3.7695 29.4196 74.6627 182.65209311 1149658.0760 1147984.9564 9 420 10.0000 3.7695 33.1891 83.2053 186.42155229 1149649.9754 1147979.1052 10 430 10.0000 3.7695 36.9585 91.3880 190.19101147 1149642.7125 1147972.2418 11 440 10.0000 3.7695 40.7280 99.1752 193.96047065 1149636.4129 1147964.4848 Pt 440.3027 0.3027 0.1141 40.8421 99.4044 194.07458335 1149636.2384 1147964.2375 2*R*SENO(RADIANES(Deflexion)) PI3 Estacion Abscisa DistanciaDeflexion UnitariaDeflexion DESDE PI Cuerda Azimut Coordenadas Norte Este Pc 1 2 3 4 5 6 7 8 9 10 Pt 2*R*SENO(RADIANES(Deflexion)) PI4 Estacion Abscisa DistanciaDeflexion UnitariaDeflexion DESDE PI Cuerda Azimut Coordenadas Norte Este Pc 1 2 3 4 5 6 7 8 9 10 Pt 2*R*SENO(RADIANES(Deflexion)) PI5 Estacion Abscisa DistanciaDeflexion UnitariaDeflexion DESDE PI Cuerda Azimut Coordenadas Norte Este Pc 1 2 3 4 5 6 7 8 9 10 Pt 2*R*SENO(RADIANES(Deflexion)) PI6 Estacion Abscisa DistanciaDeflexion UnitariaDeflexion DESDE PI Cuerda Azimut Coordenadas Norte Este Pc 1 2 3 4 5 6 7 8 9 10 Pt 2*R*SENO(RADIANES(Deflexion)) PI7 Estacion Abscisa DistanciaDeflexion UnitariaDeflexion DESDE PI Cuerda Azimut Coordenadas Norte Este Pc 1 2 3 4 5 6 7 8 9 10 Pt Por: Presentado a: NOTA: Marco Andrade C. Ing. Mariam Rivas GRADO DE CURVATURA Julieth Hidalgo Johan Rodriguez Maria Zambrano Topografía 632054 CALCULO DE ABCISAS ENTRADA PUNTO FORMULA ABCISA A 102.2577-0.6*0.498-0.144 K00+101.8149 B 101.8149+0.144 K00+101.9589 C 101.9589+0.144 K00+102.1029 D(PC) Absisa del PC K00+102.2577 E 102.2577+0.4*0.498 K00+102.4569 CALCULO DE ABCISAS SALIDA PUNTO FORMULA ABCISA E 207.8707-0.4*0.498 K00+207.6717 B(PT) Abcisa del PT K00+207.8707 C 207.8707+0.6*0.498-0.144 K00+208.0255 B 208.0255+0.144 K00+208.1695 A 208.1695+0.144 K00+208.3135 Vel. Espec. K/h Ordenada Media (Flecha) Arco Unidad LONGITUD DE LA CURVA SEGÚN CUERDA(Gc): Gc=2arcsen C/2R SEGÚN CUERDA (Lc): Lc=CΔ/Gc SEGÚN ARCO (Gs): Gs=180*Arco/πR SEGÚN ARCO (Ls): Ls=Δ π R/180

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Transcript of Elementos Geométricos y Deflexiones

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Datos inicialesElementos geomtricos de la curvaCOORDENADAST = R * Tan (/2)Gs=((180*Arco)/((pi()*R))Ls=(en radianes)*RCL = 2RSen(/2)E = R(1/Cos(/2) 1)M = R[1 Cos(/2)]PuntoRadioNorteEsteAcimut Deflex Sentido de CurvaVel. Espec. K/hTangenteGrado de curvaturaLongitud de la curvaCuerda LargaExternaOrdenada Media (Flecha)Arco UnidadAbscisa

BOP11500001148036232.8533K0+000PI 17611499001147904153.232579.6208Izquierda4063.34427.5389105.613197.3179022.936817.619310165.6019PI 27611496741148018234.916781.6842Derecha4065.69897.5389108.350099.4044224.460718.504910PI 38411495561147850200.234434.6822Izquierda5026.22926.820950.846850.074063.99983.818010PI 4110.0911490081147648336.2750136.0406Derecha50272.76025.2044261.3928204.17652184.049368.885710PI 573.3311493221147510257.101479.1736Izquierda4060.63547.8134101.330393.4585821.822216.817510PI 69411492621147248218.099739.0017Izquierda4033.28876.095363.986562.758275.72035.392210PI 712211490861147110283.298965.1992Derecha4078.02104.6964138.8287131.4585822.814619.220310EOP11491121147000

2*R*SENO(RADIANES(Deflexion))PI1EstacionAbscisaDistanciaDeflexion UnitariaDeflexion DESDE PICuerda AzimutCoordenadasNorteEste

Pc102.257752.853313891149938.25091147954.491211107.74232.91842.91847.7390229.934876101149933.26961147948.5684212010.00003.76956.687917.7021226.165416921149925.99081147941.7219313010.00003.769510.457427.5886222.395957751149917.87671147935.8896414010.00003.769514.226837.3557218.626498571149909.06741147931.1722515010.00003.769517.996346.9612214.857039391149899.71551147927.6514616010.00003.769521.765756.3635211.087580211149889.98241147925.3880717010.00003.769525.535265.5219207.318121031149880.03651147924.4212818010.00003.769529.304774.3969203.548661851149870.04971147924.7676919010.00003.769533.074182.9500199.779202671149860.19471147926.42121020010.00003.769536.843691.1441196.009743501149850.64181147929.3536Pt207.87077.87072.966839.810497.3179193.042897241149843.44371147932.52842*R*SENO(RADIANES(Deflexion))PI2EstacionAbscisaDistanciaDeflexion UnitariaDeflexion DESDE PICuerda AzimutCoordenadasNorteEste

Pc331.9527333.232500001149732.65871147988.411113408.04733.03343.03348.0435156.265878861149725.29551147991.6486235010.00003.76956.802818.0049160.035338041149715.73591147994.5587336010.00003.769510.572327.8884163.804797221149705.87701147996.1895437010.00003.769514.341837.6512167.574256401149695.88951147996.5127538010.00003.769518.111247.2511171.343715581149685.94591147995.5227639010.00003.769521.880756.6466175.113174761149676.21811147993.2367740010.00003.769525.650165.7970178.882633941149666.87431147989.6942841010.00003.769529.419674.6627182.652093111149658.07601147984.9564942010.00003.769533.189183.2053186.421552291149649.97541147979.10521043010.00003.769536.958591.3880190.191011471149642.71251147972.24181144010.00003.769540.728099.1752193.960470651149636.41291147964.4848Pt440.30270.30270.114140.842199.4044194.074583351149636.23841147964.23752*R*SENO(RADIANES(Deflexion))PI3EstacionAbscisaDistanciaDeflexion UnitariaDeflexion DESDE PICuerda AzimutCoordenadasNorteEste

Pc12345678910Pt2*R*SENO(RADIANES(Deflexion))PI4EstacionAbscisaDistanciaDeflexion UnitariaDeflexion DESDE PICuerda AzimutCoordenadasNorteEste

Pc12345678910Pt2*R*SENO(RADIANES(Deflexion))PI5EstacionAbscisaDistanciaDeflexion UnitariaDeflexion DESDE PICuerda AzimutCoordenadasNorteEste

Pc12345678910Pt2*R*SENO(RADIANES(Deflexion))PI6EstacionAbscisaDistanciaDeflexion UnitariaDeflexion DESDE PICuerda AzimutCoordenadasNorteEste

Pc12345678910Pt2*R*SENO(RADIANES(Deflexion))PI7EstacionAbscisaDistanciaDeflexion UnitariaDeflexion DESDE PICuerda AzimutCoordenadasNorteEste

Pc12345678910Pt

Por:Presentado a:NOTA:Marco Andrade C.Ing. Mariam RivasGRADO DE CURVATURA LONGITUD DE LA CURVAJulieth HidalgoJohan RodriguezSEGN CUERDA(Gc): Gc=2arcsen C/2RSEGN CUERDA (Lc): Lc=C/GcMaria ZambranoTopografa 632054SEGN ARCO (Gs): Gs=180*Arco/RSEGN ARCO (Ls): Ls= R/180

CALCULO DE ABCISASENTRADAPUNTOFORMULAABCISAA102.2577-0.6*0.498-0.144K00+101.8149B101.8149+0.144K00+101.9589C101.9589+0.144K00+102.1029D(PC) Absisa del PCK00+102.2577E102.2577+0.4*0.498K00+102.4569

CALCULO DE ABCISASSALIDAPUNTOFORMULAABCISAE207.8707-0.4*0.498K00+207.6717B(PT)Abcisa del PTK00+207.8707C207.8707+0.6*0.498-0.144K00+208.0255B208.0255+0.144K00+208.1695A208.1695+0.144K00+208.3135

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