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UNIVERSIDAD NACIONAL AUTONOMA DE MEXICO FACULTAD DE INGENIERIA ESPECIALIZACION EN VIAS TERRESTRES DATOS DE LAS CURVA CURVA Δt Δc Gc Rc St o Ste Lc Θe Le Xc Yc m. m. m. m. m. m. 0-1 40° 00' 00.000'' Der. 06° 00' 00.000'' 190.986 69.513 133.333 1-1 35° 00' 00.000'' Der. 23° 00' 00.000'' 08° 00' 00.000'' 143.240 60.240 57.500 06° 00' 00.000'' 30.000 29.967 1.047 2-1 75° 00' 00.000'' Izq. 06° 30' 00.000'' 176.295 135.276 230.769 2-2 ### Der. 78° 18' 21.000'' 12° 00' 00.000'' 95.493 134.025 130.510 11° 06' 00.000'' 37.000 36.861 2.384 PROYECTO DE VIAS TERRESTRES MIGUEL VALDIV

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DATOS DE LAS CURVAUNIVERSIDAD NACIONAL AUTONOMA DE MEXICOFACULTAD DE INGENIERIAESPECIALIZACION EN VIAS TERRESTRESDATOS DE LAS CURVA

CURVAtcGcRcSt o SteLceLeXcYckpVel.m.m.m.m.m.m.m.m.Km/h0-1400000Der.60000190.98669.513133.333501-1350000Der.23000080000143.24060.24057.5006000030.00029.9671.04714.9940.262502-1750000Izq.63000176.295135.276230.769502-21003021Der.78182112000095.493134.025130.51011060037.00036.8612.38418.4760.59750

PROYECTO DE VIAS TERRESTRESMIGUEL VALDIVIA ROSAS

curva simpleCALCULO DEL ALINEAMIENTO HORIZONTAL0CURVA 0-1decimal=52256.119Der.=52256.119Der.5.38226Gc=13000Gc=1300.0001.50000Rc=763.944m.763.944St=35.908m.2.6910.04696903790.047003607735.9081240903Lc=71.763m.71.7634037037

curva espiraldecimalt=890206.817DER.t=8926.817Der.89.03523gmsc=570206.817c=5726.81732.0000057.0352357.0352357.000000.035232.113622.0000.1146.8175726.817570206.817355959.65Gc=160000Gc=1600.00016.0000016.0000016.0000016.000000.000000.000000.0000.00001600.000Rc=71.620m.71.620St=91.285m.44.517610.776980.9833072.5494871.3380391.28463Lc=71.294m.71.2940336806

Le=40.000m.Le=40.000m.decimalgmse=160000e=1600.00016.00016.00016.0000.0000.0000.0000.00001600.000Xc=39.68839.68768Yc=3.7040.49.3120.05160969.26039043.70415616p=0.9300.279252680.96126169590.03873830412.77442765230.9297285077k=19.9470.27925268030.275637355819.741078514319.947

DATOS DEL PROYECTOUNIVERSIDAD NACIONAL AUTONOMA DE MEXICOFACULTAD DE INGENIERIAESPECIALIZACION EN VIAS TERRESTRESDATOS ORIGINALES DEL PROBLEMACOORDENADASESTACIONPTO. OBSERVADORUMBOAZIMUTTANGENTECOORDENADASDECIMALESTACIONPTO. OBSERVADORUMBOAZIMUTTANGENTEXYgmsgmsgmsXYAZIMUTPI0PI1N 4500'00" E-------700100000100000PI0PI1N4500.000E700.000m.100000.000100000.0000.000000.00000PI1PI28500001000PI1PI28500.0001000.000m.0.0000085.00000PI2PI3350000DER.500PI2PI33500.000DER.500.000m.35.000000.00000PI3PI4750000IZQ.600PI3PI47500.000IZQ.600.000m.75.000000.00000PI4PIF1453021455.913PI4PIF1453021.000455.913m.0.00000145.50583

CALCULO DE AZIMUT'S, DEFLEXIONES Y COORDENADAS

ESTACIONPTO. OBSERVADORUMBOAZIMUTTANGENTECOORDENADASDECIMALCALCULOSgmsAZIMUTAZIMUTTANGENTECOORDENADASgmsgmsgmsXYAZIMUTAZIMUTgmsSENOCOSPROYE. XPROYC YXYPI0100000.000100000.000100000.000100000.000PI0PI1N4500.000E4500.000700.000m.100494.975100494.9750.0000045.000000.0000045.000000.000000.0000.0000.0000.0000.0000000.00045.0000045.0000.0000.0000.0000.00004500.000700.0000.7850.7071067810.707106781494.9747468306494.9747468306100494.975100494.975PI1PI2N8500.000E4000.000DER.8500.0001000.000m.101491.169100582.13040.0000085.0000040.0000085.0000040.0000040.0000.0000.0000.0000.00004000.00085.0000085.0000.0000.0000.0000.00008500.0001000.0001.4840.9961946980.087155743996.194698091787.1557427477101491.169100582.130PI2PI3S6000.000E3500.000DER.12000.000500.000m.101924.182100332.13035.00000120.0000035.00000120.0000035.0000035.0000.0000.0000.0000.00003500.000120.00000120.0000.0000.0000.0000.000012000.000500.0002.0940.866025404-0.500000000433.0127018922-250101924.182100332.130PI3PI4N4000.000E7500.000IZQ.4500.000600.000m.102348.446100756.39575.0000045.0000075.0000045.0000075.0000075.0000.0000.0000.0000.00007500.00045.0000045.0000.0000.0000.0000.00004500.000600.0000.7850.7071067810.707106781424.2640687119424.2640687119102348.446100756.395PI4PIFS342939.000E1003021.000DER.1453021.000455.913m.102606.640100380.638100.50583145.50583100.50583145.50583100.50583100.0000.50630.35030.0000.350211003021.000145.50583145.0000.50630.35030.0000.350211453021.000455.9132.5400.566322329-0.824183851258.1937119735-375.7561319079102606.640100380.638PROYECTO DE VIAS TERRESTRESMIGUEL VALDIVIA ROSAS

PROYECTOUNIVERSIDAD NACIONAL AUTONOMA DE MEXICOFACULTAD DE INGENIERIAESPECIALIZACION EN VIAS TERRESTRESCALCULO DEL ALINEAMIENTO HORIZONTALMETER DATOS0CALCULOSCURVA0-1CURVA0-1decimal=400000Der.=4000.000Der.40.00000Gc=60000Gc=600.0006.00000Rc=190.986m.190.986St=69.513m.Le=28.00m.20.0000.34906585040.363970234369.5132191616Lc=133.333m.Sc=6.30%133.3333333333Ac=0.70m.

CURVA1-1CURVA0-2decimalt=350000Der.t=3500.000Der.35.00000gmsc=230000c=2300.00012.0000023.0000023.0000023.000000.000000.000000.0000.00002300.000570206.817355959.65Gc=80000Gc=800.0008.000004.000004.000004.000000.000000.000000.0000.0000400.000Rc=143.240m.Le=30.00m.143.240St=60.240m.Sc=7.60%17.500000.305430.31530143.5016045.2458860.24034Lc=57.500m.Ac=0.80m.57.5

Le=30.000m.Le=30.000m.decimalgmse=60000e=600.0006.0006.0006.0000.0000.0000.0000.0000600.000Xc=29.96729.96706Yc=1.0470.33.4920.00272163.48927841.04678352p=0.2620.104719760.99452189540.00547810460.78468096840.2621025516k=14.9940.10471975510.104528463314.972604814214.994

CURVA2-1CURVA0-3decimal=750000Izq.=7500.000Izq.75.00000Gc=63000Gc=6300.0006.50000Rc=176.295m.176.2947692308St=135.276m.Le=28.00m.37.5000.65449846950.767326988135.2757342703Lc=230.769m.Sc=6.70%230.7692307692Ac=0.70m.PROYECTO DE VIAS TERRESTRESMIGUEL VALDIVIA ROSASUNIVERSIDAD NACIONAL AUTONOMA DE MEXICOFACULTAD DE INGENIERIAESPECIALIZACION EN VIAS TERRESTRESCALCULO DEL ALINEAMIENTO HORIZONTAL

CURVA2-2CURVA0-4decimalt=1003021Der.t=1003021.000Der.100.50583gmsc=781821c=781821.00022.2000078.3058378.3058378.000000.3058318.3500018.0000.35021781821.000570206.817355959.65Gc=120000Gc=1200.00012.0000010.2000010.2000010.000000.2000012.0000012.000-0.000-01012-0.000Rc=95.493m.Le=37.00m.95.493St=134.025m.Sc=9.30%50.252920.877081.2024996.09048115.54821134.02466Lc=130.510m.Ac=1.10m.130.5097222222

Le=37.000m.Le=37.000m.decimalgmse=110600e=11660.00011.10011.10011.0000.1006.0005.0001.0006011660.000Xc=36.86136.860957515Yc=2.3840.376.46020.01723215066.44296784942.3838981043p=0.5970.193731550.9812926640.0187073361.78641963740.5974784669k=18.4760.1937315470.192521966518.384500149518.476

PROYECTO DE VIAS TERRESTRESMIGUEL VALDIVIA ROSAS

CALCULO DE TANGENTES LIBRESUNIVERSIDAD NACIONAL AUTONOMA DE MEXICOFACULTAD DE INGENIERIAESPECIALIZACION EN VIAS TERRESTRES

CALCULO DE TANGENTES LIBRES

ESTACIONPTO. OBSERVADOAZIMUTTANGENTESUBTANGENTESTANGENTE LIBREgmsSt1St2PI0PI0PI14500.000700.000m.69.513630.487m.PI1PI28500.0001000.000m.69.51360.240870.246m.PI2PI312000.000500.000m.60.240135.276304.484m.PI3PI44500.000600.000m.135.276134.025330.700m.PI4PIF1453021.000455.913m.134.0250.000321.888m.CALCULO DE CADENAMIENTOSPI00+000.000

PC1=0+630.487PT1=0+763.820PI1=0+700.000TE2=1+634.067EC2=1+664.067CE2=1+721.567ET2=1+751.567PI2=1+694.307PC3=2+056.050PT3=2+286.820PI3=2+191.326TE4=2+617.519EC4=2+654.519CE4=2+785.029ET4=2+822.029PI4=2+751.544PIF=3+143.917PROYECTO DE VIAS TERRESTRESMIGUEL VALDIVIA ROSAS

CALCULO DE COORDENADAS

UNIVERSIDAD NACIONAL AUTONOMA DE MEXICOFACULTAD DE INGENIERIAESPECIALIZACION EN VIAS TERRESTRES

CLCULO DE COORDENADAS DEL TRAZO DEFINITIVO

CAMINO :TAREA No. 2TRAMO :DE KM :0+000.000A KM :3+143.197SUBTRAMO :ORIGEN :

ESTACINPUNTO OBSERVADOSUBTANGENTE ATRSTANGENTESUBTANGENTE ADELANTEDISTANCIADEFLEXIONESAZ.A.C.PROYECCIONESCOORDENADASIZQ.DER.GRAMINSEGSENO+ E -WCOSENO +N -SXYPST =0+000.0004500.00100,000.000100,000.000PST =0+000.000PC =0+630.487630.487630.4874500.000.707106781445.8210.70710678445.821100,445.821100,445.821PC =0+630.487PI =0+700.00069.51369.5134500.000.70710678149.1530.7071067849.153100,494.975100,494.975

PST =0+000.000PI =0+700.000700.0004500.000.707106781494.9750.70710678494.975100,494.975100,494.975

PI =0+700.000PT =0+763.82069.51369.5134000'00"8500.000.99619469869.2490.087155746.058100,564.223100,501.033PT =0+763.820TE =1+634.067870.246870.2468500.000.996194698866.9350.0871557475.847101,431.158100,576.880TE =1+634.067EC' =1+664.067Xc=29.96729.9678500.000.99619469829.8530.087155742.612101,461.011100,579.492EC' =1+664.067EC =1+664.067Yc=1.0471.0479000'00"17500.000.0871557430.091-0.99619470-1.043101,461.103100,578.449EC =1+664.067EC' =1+664.0671.04718000'00"35500.00-0.087155743-0.0910.996194701.043101,461.011100,579.492EC' =1+664.067PI = 1+694.30730.2739000'00"8500.000.99619469830.1580.087155742.638101,491.169100,582.130

PI =0+700.000PI = 1+694.3071000.0008500.000.996194698996.1950.0871557487.156101,491.169100,582.130

PI = 1+694.307CE' =1+721.56730.2733500'00"12000.000.86602540426.217-0.50000000-15.137101,517.387100,566.994CE' =1+721.567CE =1+721.567Yc=1.0471.0479000'00"21000.00-0.500000000-0.523-0.86602540-0.907101,516.863100,566.087CE =1+721.567CE' =1+721.567Xc=29.9671.04718000'00"3000.000.5000000000.5230.866025400.907101,517.387100,566.994CE' =1+721.567ET =1+751.56729.9679000'00"12000.000.86602540425.952-0.50000000-14.984101,543.339100,552.010ET =1+751.567PC =2+056.050304.484304.484120000.866025404263.691-0.50000000-152.242101,807.030100,399.768PC =2+056.050PI =2+191.326135.276135.276120000.866025404117.152-0.50000000-67.638101,924.182100,332.130

PI = 1+694.307PI =2+191.326500.000120000.866025404433.013-0.50000000-250.000101,924.182100,332.130

PI =2+191.326PT =2+286.820135.276135.2767500'00"45000.70710678195.6540.7071067895.654102,019.837100,427.785PT =2+286.820TE =2+617.519330.700330.70045000.707106781233.8400.70710678233.840102,253.676100,661.625TE =2+617.519EC' =2+654.519Xc=36.86136.8614500.000.70710678126.0650.7071067826.065102,279.741100,687.689EC' =2+654.519EC =2+654.519Yc=2.3842.3849000'00"135000.7071067811.686-0.70710678-1.686102,281.427100,686.004EC =2+654.519EC' =2+654.5192.38418000'00"31500-0.707106781-1.6860.707106781.686102,279.741100,687.689EC' =2+654.519PI = 2+751.54497.1649000'00"45000.70710678168.7050.7071067868.705102,348.446100,756.395

PI =2+191.326PI = 2+751.544600.00045000.707106781424.2640.70710678424.264102,348.446100,756.395

CALCUL :MIGUEL VALDIVIA ROSASREVIS :ING. GUILLERMO ESQUIVEL CASTAEDAAPROB :FECHA :Sep-14FECHA :FECHA :

CAMINO :TAREA No. 2TRAMO :DE KM :0+000.000A KM :3+143.197SUBTRAMO :ORIGEN :

ESTACINPUNTO OBSERVADOSUBTANGENTE ATRSTANGENTESUBTANGENTE ADELANTEDISTANCIADEFLEXIONESAZ.A.C.PROYECCIONESCOORDENADASIZQ.DER.GRAMINSEGSENO+ E -WCOSENO +N -SXYPI = 2+751.544CE' =2+785.02997.16410030'21"14530210.56632232955.026-0.82418385-80.081102,403.472100,676.314CE' =2+785.029CE =2+785.0292.3849000'00"2353021.00-0.824183851-1.965-0.56632233-1.350102,401.507100,674.964CE =2+785.029CE' =2+785.029Yc=2.3842.38418000'00"553021.000.8241838511.9650.566322331.350102,403.472100,676.314CE' =2+785.029ET =2+822.029Xc=36.86136.8619000'00"1453021.000.56632232920.875-0.82418385-30.380102,424.347100,645.934ET =2+822.029PST =3+143.917321.888321.8881453021.000.566322329182.293-0.82418385-265.295102,606.640100,380.638

PI = 2+751.544PST =3+143.917455.91314530210.566322329258.194-0.82418385-375.756102,606.640100,380.638

CALCUL :MIGUEL VALDIVIA ROSASREVIS :ING. GUILLERMO ESQUIVEL CASTAEDAAPROB :FECHA :Sep-14FECHA :FECHA :