US_Customary eMax = 6%
V = 40 mph NC = 2.00%
Trav Lane (ft) = 12 # Lanes = 1 (56 km/h) Rmin = 340
Used 12 ft R_List 35 mph Ls(des) = 120
R (m) Deg of Curv R (ft) e Lr Ls(min) Ls(best) Ls(max)
196 8 54' 39" 643 5.2% 101 101 120 226
148 11 48' 49" 485 5.8% 112 88 120 196
104 16 51' 06" 340 6.0% 116 99 120 164
533 3 16' 27" 1750 3.2% 62 166 372
582 3 0' 00" 1910 3.0% 58 174 389
500 3 29' 37" 1640 3.2% 62 161 360
1829 0 57' 18" 6000 NC
1524 1 8' 45" 5000 NC
1219 1 25' 57" 4000 2.0% 39 252 563
1067 1 38' 13" 3500 2.0% 39 235 526
914 1 54' 35" 3000 2.0% 39 218 487
762 2 17' 31" 2500 2.4% 46 199 445
610 2 51' 53" 2000 2.8% 54 178 398
533 3 16' 27" 1750 3.2% 62 166 372
457 3 49' 11" 1500 3.4% 66 154 345
381 4 35' 01" 1250 3.8% 74 141 315
305 5 43' 46" 1000 4.2% 81 126 281
274 6 21' 58" 900 4.4% 85 119 120 267
244 7 9' 43" 800 4.6% 89 113 120 252
213 8 11' 06" 700 5.0% 97 105 120 235
183 9 32' 57" 600 5.2% 101 97 120 218
152 11 27' 33" 500 5.6% 108 89 120 199
137 12 43' 57" 450 5.8% 112 84 120 189
122 14 19' 26" 400 6.0% 116 84 120 178
107 16 22' 13" 350 6.0% 116 96 120 166
104 16 51' 06" 340 6.0% 116 99 120 164
Variables R(min) = 340 ft or D(max) = 16 45' 00"
R_List Radius list toggle
PDDM Desirable Spiral Length Min. Ls(best) occurs at R = 643 ft
0.2% Superelevation rounding Calc. Rmax for spiral use = 1150 ft (620 ft GB)
1 ft (0.3 m) rounding Max Ls using 4 sec rule = 205 ft
3 _num
0 Is this Metric? Go to top
0 Degree of Curvature used?
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ft (64 km/h) Rmin = 485 ft (72 km/h)
ft 40 mph Ls(des) = 135 ft 45 mph
Calc. e e Lr Ls(min) Ls(best) Ls(max) Calc. e e Lr Ls(min)
0.050473 5.8% 120 101 135 226 0.057276 6.0% 133 112
0.056156 6.0% 124 104 135 196 0.06
0.06 0.051753
0.030092 3.6% 74 166 372 0.035911 4.2% 93 166
0.028254 3.4% 70 174 389 0.033939 4.0% 89 174
0.031475 3.8% 79 161 360 0.037355 4.4% 98 161
0.010611 NC 0.013259 2.0% 44 308
0.012552 2.0% 41 281 629 0.015635 2.0% 44 281
0.01535 2.0% 41 252 563 0.019028 2.4% 53 252
0.017266 2.2% 46 235 526 0.021325 2.6% 58 235
0.019712 2.6% 54 218 487 0.024224 3.0% 67 218
0.022929 2.8% 58 199 445 0.027969 3.4% 76 199
0.027302 3.4% 70 178 398 0.032897 4.0% 89 178
0.030092 3.6% 74 166 372 0.035911 4.2% 93 166
0.033381 4.0% 83 154 345 0.039276 4.6% 102 154
0.037157 4.4% 91 141 315 0.043069 5.0% 111 141
0.041333 4.8% 99 126 135 281 0.048013 5.4% 120 126
0.043406 5.2% 108 119 135 267 0.050392 5.8% 129 119
0.045826 5.4% 112 113 135 252 0.052996 6.0% 133 113
0.048656 5.6% 116 105 135 235 0.055741 6.0% 133 105
0.051941 6.0% 124 97 135 218 0.058344
0.055598 6.0% 124 101 135 199 0.05996
0.057427 0.059723
0.059026 0.057949
0.059963 0.053253
0.06 0.051753
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R(min) = 485 ft or D(max) = 11 45' 00" R(min) = 643 ft or D(max) = 9 0' 00"
Min. Ls(best) occurs at R = 643 ft Min. Ls(best) occurs at R =
ft (620 ft GB) Calc. Rmax for spiral use = 1500 ft (809 ft GB) Calc. Rmax for spiral use =
Max Ls using 4 sec rule = 235 ft Max Ls using 4 sec rule =
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Rmin = 643 ft
Ls(des) = 150 ft
Ls(best) Ls(max) Calc. e
150 226 0.06
0.055001
0.022634
372 0.041202
389 0.039267
360 0.042639
689 0.016101
629 0.018917
563 0.02289
526 0.025542
487 0.028838
445 0.032991
398 0.038211
372 0.041202
345 0.044667
150 315 0.048925
150 281 0.054017
150 267 0.056173
150 252 0.058194
150 235 0.05969
0.059757
0.056146
0.05134
0.042631
0.027026
0.022634
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= 643 ft or D(max) = 9 0' 00"
643 ft
1900 ft (1024 ft GB)
265 ft
Speed2 Current eMax = 6.0% Superelevation Table
Speed (km/h) f Vr (km/h) MRG Ls(des) Rmin Rpi hPI S1 S2
20 0.35 20 0.80% 13 8 52.49344 0 0 3.303445
30 0.28 30 0.75% 19 21 118.1102 0 0 7.151545
40 0.23 40 0.70% 26 43 209.9738 0 0 12.43693
50 0.19 47 0.65% 32 79 289.895 0.007904 2.291339 19.77433
60 0.17 55 0.60% 38 123 396.9816 0.011405 4.527559 28.26465
70 0.15 63 0.55% 45 184 520.8661 0.014074 7.330709 38.67131
80 0.14 70 0.50% 51 252 643.0446 0.018367 11.81102 50.40406
90 0.13 77 0.47% 58 336 778.084 0.02197 17.09449 63.88596
100 0.12 85 0.44% 64 437 948.1627 0.023045 21.85039 78.59147
110 0.11 91 0.41% 70 560 1086.745 0.027671 30.07087 95.11964
120 0.09 98 0.38% 77 756 1260.367 0.029963 37.76378 113.4212
130 0.08 102 0.35% 83 951 1365.354 0.037463 51.14961 133.2987
2.3 s Travel time on curve (Green Book value is 2 sec)
Equations
Metric US Customary (if different)
Ls(des) = V x (2.3 sec)
Rmin = V^2 / [127 * (eMax + f)] Rmin = V^2 / [15 * (eMax + f)]
Rpi = Vr^2 / (127 * eMax) Rpi = Vr^2 / (15 * eMax)
hPI = eMax * [(V / Vr)^2 - 1]
S1 = hPI * Rpi / DxR
S2 = (f - hPI) / [DxR * (1/Rmin - 1/Rpi)]
MO = 1 / RPI * (1/Rmin - 1/Rpi) * (S2 - S1) / 2 * Rmin
For 1/R > 1/Rpi, f2 = MO * [(1/Rmin - 1/R) / (1/Rmin - 1/Rpi)]^2 + hPI + DxR * S2 * (1/R - 1/Rpi)
e = (eMax + f) * Rmin / R - f2
For 1/R 1/Rpi, f1 = MO * (Rpi / R)^2 + DxR * S1 / R
e = (eMax + f) * Rmin / R - f1
Speed3
MO Beginning R Speed (MPH) f Vr (MPH) MRG Ls(des) Rmin Rpi
0.02667 250 15 0.32 15 0.78% 50 39 250
0.024892 500 20 0.27 20 0.74% 65 81 444.4444
0.023551 1000 25 0.23 24 0.70% 85 144 640
0.021937 1500 30 0.20 28 0.66% 100 231 871.1111
0.020634 2000 35 0.18 32 0.62% 120 340 1137.778
0.019457 2500 40 0.16 36 0.58% 135 485 1440
0.018248 3000 45 0.15 40 0.54% 150 643 1777.778
0.017084 3500 50 0.14 44 0.50% 170 833 2151.111
0.016131 4000 55 0.13 48 0.47% 185 1060 2560
0.014506 5000 60 0.12 52 0.45% 200 1330 3004.444
0.012011 6000 65 0.11 55 0.43% 220 1660 3361.111
0.00913 6000 70 0.10 58 0.40% 235 2040 3737.778
75 0.09 61 0.38% 255 2500 4134.444
80 0.08 64 0.35% 270 3050 4551.111
Table 3-21 Lanes_adj
Equation 3-8 Constants Metric US Customary # Lanes nlbw
Equation 3-11 pmin 0.2 0.66 1 1
Equation 3-12 C 1.2 4 1.5 1.25
Equation 3-13 pmax 1 3.3 2 1.5
Equation 3-14 round 1 5 2.5 1.75
Equation 3-15 Ls 0.0214 3.15 3 2
Equation 3-21 lat_accel 0.7 2.3 Green Book values are 3.5 2.25
Equation 3-22 DxR 1 5729.578
Equation 3-19
Equation 3-20
hPI S1 S2 MO Beginning R Beginning D
0 0 0.002581 0.02496 1000 1145.916 5 0' 00"
0 0 0.004668 0.024604 2000 1909.859 3 0' 00"
0.005104 0.00057 0.007293 0.023323 2500 2864.789 2 0' 00"
0.008878 0.00135 0.010486 0.022079 3500 5729.578 1 0' 00"
0.011777 0.002339 0.014237 0.021006 5000 5729.578 1 0' 00"
0.014074 0.003537 0.018626 0.019907 6000 5729.578 1 0' 00"
0.015938 0.004945 0.02357 0.019158 8000 11459.16 0 30' 00"
0.017479 0.006562 0.02907 0.018367 10000 11459.16 0 30' 00"
0.018776 0.008389 0.035118 0.017526 10000 11459.16 0 30' 00"
0.019882 0.010425 0.0417 0.01662 12500 22918.31 0 15' 00"
0.023802 0.013963 0.049344 0.015263 15000 22918.31 0 15' 00"
0.027396 0.017872 0.056912 0.013591 15000 22918.31 0 15' 00"
0.030701 0.022154 0.06545 0.01186 17500 22918.31 0 15' 00"
0.03375 0.026808 0.074644 0.009932 20000 22918.31 0 15' 00"
Incr Incr_DC
6 5 0 1' 00" 0 15' 00"
81 10 4 45' 00" 0 30' 00"
151 25 9 30' 00" 1 0' 00"
251 50 19 0' 00" 2 0' 00"
501 100 27 0' 00" 4 0' 00"
1001 250 40 0' 00" 8 0' 00"
2001 500 104 0' 00" 10 0' 00"
4001 1000 132 0' 00" 26 0' 00"
6001 2000
10001 2500
