calculations (7 sheets)

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CURVES START LENGTH FINISH STRETCH NOTE RADIUS (R) CANT (h) 15.900 30 m 15.930 Straight 15.930 40 m 15.970 Transition curve Okl 40 CURVE 1 15.970 100 m 16.070 Curve R -980 Ovh 30 980 m 30 mm 16.070 30 m 16.100 Transition curve Okl 30 CURVE 2 16.100 80 m 16.180 Curve R -565 Ovh 30 565 m 30 mm 16.180 30 m 16.210 Transition curve Okl 30 16.210 210 m 16.420 Straight 16.420 60 m 16.480 Transition curve Okl 60 CURVE 3 16.480 120 m 16.600 Curve R 370 Ovh 20 370 m 20 mm 16.600 10 m 16.610 Transition curve Okl 10 16.610 10 m 16.620 Straight CURVE 4 16.620 20 m 16.640 Curve R 1562 Ovh 20 1562 m 20 mm 16.640 20 m 16.660 Transition curve Okl 20 CURVE 5 16.660 60 m 16.720 Curve R 373 Ovh 20 373 m 20 mm 16.720 80 m 16.800 Transition curve Okl 80 16.800 70 m 16.870 Transition curve Okl 70 CURVE 6 16.870 250 m 17.120 Curve R -359 Ovh 115 359 m 115 mm 17.120 40 m 17.160 Transition curve Okl 40 CURVE 7 17.160 70 m 17.230 Curve R -349 Ovh 115 349 m 115 mm 17.230 70 m 17.300 Transition curve Okl 70 17.300 100 m 17.400 Straight 17.400 70 m 17.470 Transition curve Okl 70 CURVE 8 17.470 360 m 17.830 Curve R 396 Ovh 115 396 m 115 mm 17.830 70 m 17.900 Transition curve Okl 70 17.900 100 m 18.000 Straight 18.000 70 m 18.070 Transition curve Okl 70 CURVE 9 18.070 125 m 18.195 Curve R -489 Ovh 95 489 m 95 mm 18.195 20 m 18.215 Transition curve Okl 20 CURVE 10 18.215 120 m 18.335 Curve R -510 Ovh 95 510 m 95 mm 18.335 20 m 18.355 Transition curve Okl 20 CURVE 11 18.355 120 m 18.475 Curve R -493 Ovh 95 493 m 95 mm 18.475 70 m 18.545 Transition curve Okl 70 18.545 620 m 19.165 Straight 19.165 50 m 19.215 Transition curve Okl 50 CURVE 12 19.215 465 m 19.680 Curve R 1003 Ovh 65 1003 m 65 mm 19.680 20 m 19.700 Transition curve Okl 20 CURVE 13 19.700 50 m 19.750 Curve R 877 Ovh 65 877 m 65 mm 19.750 40 m 19.790 Transition curve Okl 40 19.790 20 m 19.810 Straight

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1.- Original SituationCURVESSTARTLENGTHFINISHSTRETCHNOTERADIUS (R)CANT (h)15.90030 m15.930 Straight15.93040 m15.970 Transition curveOkl 40CURVE 115.970100 m16.070 CurveR -980 Ovh 30980 m30 mm16.07030 m16.100 Transition curveOkl 30CURVE 216.10080 m16.180 CurveR -565 Ovh 30565 m30 mm16.18030 m16.210 Transition curveOkl 3016.210210 m16.420 Straight16.42060 m16.480 Transition curveOkl 60CURVE 316.480120 m16.600 CurveR 370 Ovh 20370 m20 mm16.60010 m16.610 Transition curveOkl 1016.61010 m16.620 StraightCURVE 416.62020 m16.640 CurveR 1562 Ovh 201562 m20 mm16.64020 m16.660 Transition curveOkl 20CURVE 516.66060 m16.720 CurveR 373 Ovh 20373 m20 mm16.72080 m16.800 Transition curveOkl 8016.80070 m16.870 Transition curveOkl 70CURVE 616.870250 m17.120 CurveR -359 Ovh 115359 m115 mm17.12040 m17.160 Transition curveOkl 40CURVE 717.16070 m17.230 CurveR -349 Ovh 115349 m115 mm17.23070 m17.300 Transition curveOkl 7017.300100 m17.400 Straight17.40070 m17.470 Transition curveOkl 70CURVE 817.470360 m17.830 CurveR 396 Ovh 115396 m115 mm17.83070 m17.900 Transition curveOkl 7017.900100 m18.000 Straight18.00070 m18.070 Transition curveOkl 70CURVE 918.070125 m18.195 CurveR -489 Ovh 95489 m95 mm18.19520 m18.215 Transition curveOkl 20CURVE 1018.215120 m18.335 CurveR -510 Ovh 95510 m95 mm18.33520 m18.355 Transition curveOkl 20CURVE 1118.355120 m18.475 CurveR -493 Ovh 95493 m95 mm18.47570 m18.545 Transition curveOkl 7018.545620 m19.165 Straight19.16550 m19.215 Transition curveOkl 50CURVE 1219.215465 m19.680 CurveR 1003 Ovh 651003 m65 mm19.68020 m19.700 Transition curveOkl 20CURVE 1319.70050 m19.750 CurveR 877 Ovh 65877 m65 mm19.75040 m19.790 Transition curveOkl 4019.79020 m19.810 Straight

2.- CalculationsSTRETCHOLD DESIGNNOTERADIUS(R)CANT(h)NEW DESIGNIDEAL CANT hid = (11,8.V2) / R Min cant(hid - 100)NEW CANT CHOSEN10 mm < X < 150 mmCant defficiency (I)I = hid - h[ 100 mm]YERK(V.I)/198[ 55 mm/s] RAMP SPEED(V.h)/180[ 50 mm/s]Ramp Gradient [ 0,002]Length of stretches Vmax =STARTLENGTHFINISHSTARTLENGTHFINISHLenghtCantGradientL V/4 = 70/4 = 17,50 m.At least 20mStraight15.90030 m15.930 15.90030 m15.930 30 mTransition curve15.93040 m15.970 Okl 4015.93040 m15.970 10 mm/s12 mm/s40000 mm30 mm0.000740 mCurve 115.970100 m16.070 R -980 Ovh 30980 m30 mm15.970100 m16.070 59.00 mm-41 mm30 mm29 mm100 m70 km/hTransition curve16.07030 m16.100 Okl 3016.07030 m16.100 25 mm/s12 mm/s30000 mm0 mm0.000030 mCurve 216.10080 m16.180 R -565 Ovh 30565 m30 mm16.10080 m16.180 102.34 mm2 mm30 mm72 mm80 m70 km/hTransition curve16.18030 m16.210 Okl 3016.18030 m16.210 26 mm/s12 mm/s30000 mm30 mm0.001030 mStraight16.210210 m16.420 16.210210 m16.420 210 mTransition curve16.42060 m16.480 Okl 6016.42060 m16.480 48 mm/s8 mm/s60000 mm20 mm0.000360 mCurve 316.480120 m16.600 R 370 Ovh 20370 m20 mm16.480120 m16.600 156.27 mm56 mm20 mm136 mm120 m70 km/hTransition curve16.60010 m16.610 Okl 1016.60010 m16.610 48 mm/s8 mm/s10000 mm20 mm0.002010 mStraight16.61010 m16.620 16.61010 m16.620 10 mCurve 416.62020 m16.640 R 1562 Ovh 201562 m20 mm16.62020 m16.640 37.02 mm-63 mm20 mm17 mm20 m70 km/hTransition curve16.64020 m16.660 Okl 2016.64030 m16.670 29 mm/s14 mm/s30000 mm35 mm0.001230 mCurve 516.66060 m16.720 R 373 Ovh 20373 m20 mm16.67050 m16.720 155.01 mm55 mm55 mm100 mm50 m70 km/hTransition curve16.72080 m16.800 Okl 8016.72080 m16.800 35 mm/s21 mm/s80000 mm100 mm0.001380 mTransition curve16.80070 m16.870 Okl 7016.80070 m16.870 16 mm/s45 mm/s70000 mm115 mm0.001670 mCurve 616.870250 m17.120 R -359 Ovh 115359 m115 mm16.870250 m17.120 161.06 mm61 mm115 mm46 mm250 m70 km/hTransition curve17.12040 m17.160 Okl 4017.12040 m17.160 2 mm/s0 mm/s40000 mm0 mm0.000040 mCurve 717.16070 m17.230 R -349 Ovh 115349 m115 mm17.16070 m17.230 165.67 mm66 mm115 mm51 mm70 m70 km/hTransition curve17.23070 m17.300 Okl 7017.23070 m17.300 18 mm/s45 mm/s70000 mm115 mm0.001670 mStraight17.300100 m17.400 17.300100 m17.400 100 mTransition curve17.40070 m17.470 Okl 7017.40070 m17.470 11 mm/s45 mm/s70000 mm115 mm0.001670 mCurve 817.470360 m17.830 R 396 Ovh 115396 m115 mm17.470360 m17.830 146.01 mm46 mm115 mm31 mm360 m70 km/hTransition curve17.83070 m17.900 Okl 7017.83070 m17.900 11 mm/s45 mm/s70000 mm115 mm0.001670 mStraight17.900100 m18.000 17.900100 m18.000 100 mTransition curve18.00070 m18.070 Okl 7018.00070 m18.070 8 mm/s37 mm/s70000 mm95 mm0.001470 mCurve 918.070125 m18.195 R -489 Ovh 95489 m95 mm18.070125 m18.195 118.24 mm18 mm95 mm23 mm125 m70 km/hTransition curve18.19520 m18.215 Okl 2018.19520 m18.215 2 mm/s0 mm/s20000 mm0 mm0.000020 mCurve 1018.215120 m18.335 R -510 Ovh 95510 m95 mm18.215120 m18.335 113.37 mm13 mm95 mm18 mm120 m70 km/hTransition curve18.33520 m18.355 Okl 2018.33520 m18.355 1 mm/s0 mm/s20000 mm0 mm0.000020 mCurve 1118.355120 m18.475 R -493 Ovh 95493 m95 mm18.355120 m18.475 117.28 mm17 mm95 mm22 mm120 m70 km/hTransition curve18.47570 m18.545 Okl 7018.47570 m18.545 8 mm/s37 mm/s70000 mm95 mm0.001470 mStraight18.545620 m19.165 18.545620 m19.165 620 mTransition curve19.16550 m19.215 Okl 5019.16550 m19.215 3 mm/s25 mm/s50000 mm65 mm0.001350 mCurve 1219.215465 m19.680 R 1003 Ovh 651003 m65 mm19.215465 m19.680 57.65 mm-42 mm65 mm-7 mm465 m70 km/hTransition curve19.68020 m19.700 Okl 2019.68020 m19.700 3 mm/s0 mm/s20000 mm0 mm0.000020 mCurve 1319.70050 m19.750 R 877 Ovh 65877 m65 mm19.70050 m19.750 65.93 mm-34 mm65 mm1 mm50 m70 km/hTransition curve19.75040 m19.790 Okl 4019.75040 m19.790 0 mm/s25 mm/s40000 mm65 mm0.001640 mStraight19.79020 m19.810 19.79020 m19.810 20 mModificated from the original projectCurve without Tc

3.- Stronger railsSTRETCHNEW DESIGNRADIUS (R)SITUATIONLENGTHSTARTLENGTHFINISHStraight15.90030 m15.930 Curve 316.48080 m16.560 370 mSTRONG RAILS80 mTransition curve15.93040 m15.970 Curve 516.67050 m16.720 373 mSTRONG RAILS373 mCurve 115.970100 m16.070 980 mCurve 616.870250 m17.120 359 mSTRONG RAILS359 mTransition curve16.07030 m16.100 Curve 717.16070 m17.230 349 mSTRONG RAILS349 mCurve 216.10080 m16.180 565 mCurve 817.470360 m17.830 396 mSTRONG RAILS396 mTransition curve16.18030 m16.210 Curve 918.070125 m18.195 489 mSTRONG RAILS489 mStraight16.210210 m16.420 Curve 1118.355120 m18.475 493 mSTRONG RAILS493 mTransition curve16.42060 m16.480 TOTAL LENGTH2,539.00 Curve 316.48080 m16.560 370 mSTRONG RAILS80 mTransition curve16.56040 m16.600 Straight16.60020 m16.620 Curve 416.62020 m16.640 1562 mTransition curve16.64030 m16.670 Curve 516.67050 m16.720 373 mSTRONG RAILS373 mTransition curve16.72080 m16.800 Transition curve16.80070 m16.870 Curve 616.870250 m17.120 359 mSTRONG RAILS359 mTransition curve17.12040 m17.160 Curve 717.16070 m17.230 349 mSTRONG RAILS349 mTransition curve17.23070 m17.300 Straight17.300100 m17.400 Transition curve17.40070 m17.470 Curve 817.470360 m17.830 396 mSTRONG RAILS396 mTransition curve17.83070 m17.900 Straight17.900100 m18.000 Transition curve18.00070 m18.070 Curve 918.070125 m18.195 489 mSTRONG RAILS489 mTransition curve18.19520 m18.215 Curve 1018.215120 m18.335 510 mTransition curve18.33520 m18.355 Curve 1118.355120 m18.475 493 mSTRONG RAILS493 mTransition curve18.47570 m18.545 Straight18.545620 m19.165 Transition curve19.16550 m19.215 Curve 1219.215465 m19.680 1003 mTransition curve19.68020 m19.700 Curve 1319.70050 m19.750 877 mTransition curve19.75040 m19.790 Straight19.79020 m19.810 TOTAL LENGTH2539 m

4.- Speed ProfileSTRETCHSTARTLENGTHFINISHNOTERADIUS(R)CANT(h)IDEAL SPEED hid = (11,8.V2) / R IDEAL CANT hid CANT DEFFICIENCYI = hid - hYERK (mm/s) RAMP SPEEDWITH TRANSITION CURVE WITHOUT TRANSITION CURVE dI/dt=(V.I)/(3,6.Ic)L (V.I)/(3,6dI/dt)L (V.I)/198dI/dt = (I/3,6).(V/20)dh/dt = (V.h)/(3,6.L)L (V.h)/(3,6dh/dt)L (V.h)/180Straight15.90030 m15.930 Transition curve15.93040 m15.970 Okl 4017.86 mm/s40.00 m12.99 m33.16 mm/s40.00 m26.53 mCurve 115.970100 m16.070 R 980 Ovh 30980 m30 mm73 km/h65 mm35 mmTransition curve16.07030 m16.100 Okl 3030.61 mm/s30.00 m16.70 m30.61 mm/s30.00 m18.37 mCurve 216.10080 m16.180 R 565 Ovh 30565 m30 mm73 km/h110 mm80 mmTransition curve16.18030 m16.210 Okl 3053.76 mm/s30.00 m29.32 m73.92 mm/s30.00 m44.35 mStraight16.210210 m16.420 Transition curve16.42060 m16.480 Okl 608.03 mm/s60.00 m8.76 m12.05 mm/s60.00 m14.46 mCurve 316.480120 m16.600 R 370 Ovh 20370 m20 mm43 km/h60 mm40 mmTransition curve16.60010 m16.610 Okl 1048.19 mm/s10.00 m8.76 m72.29 mm/s10.00 m14.46 mStraight16.61010 m16.620 3.99 mm/s20.00 m1.45 m39.95 mm/s10.00 m7.99 mCurve 416.62020 m16.640 R 1562 Ovh 201562 m20 mm58 km/h25 mm5 mm3.99 mmTransition curve16.64020 m16.660 Okl 2051.93 mm/s20.00 m18.89 m51.93 mm/s20.00 m20.77 mCurve 516.66060 m16.720 R 373 Ovh 20373 m20 mm53 km/h90 mm70 mmTransition curve16.72080 m16.800 Okl 8012.96 mm/s80.00 m18.86 m16.67 mm/s80.00 m26.67 mTransition curve16.80070 m16.870 Okl 705.09 mm/s70.00 m6.47 mCurve 616.870250 m17.120 R 359 Ovh 115359 m115 mm64 km/h135 mm20 mmTransition curve17.12040 m17.160 Okl 400.00 mm/s40.00 m0.00 mm0.00 mm/s40.00 m0.00 mCurve 717.16070 m17.230 R 349 Ovh 115349 m115 mm63 km/h135 mm20 mmTransition curve17.23070 m17.300 Okl 705.02 mm/s70.00 m6.39 m33.85 mm/s70.00 m47.39 mStraight17.300100 m17.400 Transition curve17.40070 m17.470 Okl 703.93 mm/s70.00 m5.00 m34.07 mm/s70.00 m47.70 mCurve 817.470360 m17.830 R 396 Ovh 115396 m115 mm66 km/h130 mm15 mmTransition curve17.83070 m17.900 Okl 703.93 mm/s70.00 m5.00 m34.07 mm/s70.00 m47.70 mStraight17.900100 m18.000 Transition curve18.00070 m18.070 Okl 707.00 mm/s70.00 m8.90 m33.58 mm/s70.00 m47.01 mCurve 918.070125 m18.195 R 489 Ovh 95489 m95 mm71 km/h120 mm25 mmTransition curve18.19520 m18.215 Okl 200.01 mm/s20.00 m0.00 mm-0.00 mm/s20.00 m-0.00 mCurve 1018.215120 m18.335 R 510 Ovh 95510 m95 mm72 km/h120 mm25 mmTransition curve18.33520 m18.355 Okl 20-0.01 mm/s20.00 m-0.00 mm0.00 mm/s20.00 m0.00 mCurve 1118.355120 m18.475 R 493 Ovh 95493 m95 mm71 km/h120 mm25 mmTransition curve18.47570 m18.545 Okl 707.02 mm/s70.00 m8.94 m33.72 mm/s70.00 m47.20 mStraight18.545620 m19.165 Transition curve19.16550 m19.215 Okl 5014.98 mm/s50.00 m13.62 m47.43 mm/s50.00 m47.43 mCurve 1219.215465 m19.680 R 1003 Ovh 651003 m65 mm90 km/h95 mm30 mmTransition curve19.68020 m19.700 Okl 206.24 mm/s20.00 m2.27 m6.24 mm/s20.00 m2.50 mCurve 1319.70050 m19.750 R 877 Ovh 65877 m65 mm86 km/h100 mm35 mmTransition curve19.75040 m19.790 Okl 4020.95 mm/s40.00 m15.24 m59.87 mm/s40.00 m47.89 mStraight19.79010 m19.800

5.- Graph Speed ProfileStationSpeed15.97073 Km/h16.070 73 Km/h16.10073 Km/h16.180 73 Km/h16.48043 Km/h16.600 43 Km/h16.62058 Km/h16.640 58 Km/h16.66053 Km/h16.720 53 Km/h16.87064 Km/h17.120 64 Km/h17.16063 Km/h17.230 63 Km/h17.47066 Km/h17.830 66 Km/h18.07071 Km/h18.195 71 Km/h18.21572 Km/h18.335 72 Km/h18.35571 Km/h18.475 71 Km/h19.21590 Km/h19.680 90 Km/h19.70086 Km/h19.750 86 Km/h

6.- Distribution of mastsStation (km)Distance (m)15.921015.9694816.0094016.0413216.06524Fixed point16.0892416.1213216.1614016.2074616.2676016.3276016.3876016.4263916.4583216.493216.5223216.5543216.5863216.6124Fixed point16.6342416.6663216.7053916.7443916.7833916.8213816.8593816.8973816.9353816.9733817.0113817.0493817.0873817.1253817.1633817.2013817.2393817.2773817.3153817.3756017.4154017.4554017.4954017.5354017.5754017.6154017.6554017.6954017.7354017.7754017.8154017.8554017.8954017.9556017.9984318.0414318.0844318.1274318.174318.2134318.2574418.3014418.3454418.3884318.4314318.4744318.5174318.564318.6084818.6645618.7124818.7524018.7843218.80824Fixed point18.82517Fixed point18.8492418.8813218.9214018.9694819.0144519.0594519.1044519.1514719.1994819.2394019.2713219.29524Fixed point19.31520Fixed point19.3392419.3713219.4114019.4594819.5145519.5695519.6245519.6795519.7325319.79260

7.- Depot linesDATAACTUAL SITUATIONSTARTLENGTHFINISHSTRETCHNOTERADIUS(R)CANT(h)

Depot 1 (red)16.316.8716.283 Straight16.283 36.9816.246 CurveR239239 m0.0016.246 35.4216.211 Straight16.211 57.1416.154 Straight16.154 55.3416.098 CurveR190190 m0.00Depot 2 (green)16.211 32.1616.179 Straight16.179 80.3216.099 CurveR190190 m0.00