Curve Widening

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WB-15 2 7.2 m

Design Vehicle Number of Lanes Traveled Way for two lanes

Table matches Green Book Exhibit 3-47 Traveled Way width: 7.2 meters

Curve Radius (m) 7000 6000 5000 4000 3000 2500 2000 1500 1400 1300 1200 1100 1000 900 800 750 700 600 500 400 300 250 200 175 150 140 130 120 110 100 90 80 70 60 50 40 30 25 20 15 240 Min R:

20 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.1 0.1 0.2 0.3 0.5 0.6 0.7 0.9 0.9 1.0 1.1 1.2 1.3 1.5 1.7 2.0 2.3 2.8 3.6 4.9 5.9 7.7 11.3 0.5 5

30 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.1 0.1 0.1 0.1 0.2 0.3 0.4 0.5 0.7 0.8 0.9 1.0 1.1 1.2 1.3 1.4 1.6 1.8 2.1 2.5 3.0 3.7 5.0 6.1 7.9

40 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.1 0.1 0.1 0.1 0.2 0.2 0.3 0.5 0.6 0.7 0.9 1.0 1.1 1.2 1.3 1.4 1.5 1.7 1.9 2.2 2.6 3.1 3.9

50 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.1 0.1 0.1 0.1 0.1 0.2 0.2 0.3 0.4 0.5 0.6 0.8 0.9 1.1 1.2 1.3 1.4 1.5 1.6 1.8 2.0 2.3

60 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.1 0.1 0.1 0.1 0.1 0.2 0.2 0.2 0.3 0.3 0.4 0.6 0.7 0.9 1.0 1.2 1.3 1.4 1.5 1.6 1.7

0.5 20

0.6 35

0.7 65

0.7 100

Note: All values in meters Note: Values less than 0.6 meter may be disregarded

Design Speed (km/h) 70 80 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.1 0.1 0.1 0.1 0.1 0.1 0.1 0.1 0.1 0.1 0.1 0.2 0.2 0.2 0.2 0.2 0.2 0.3 0.2 0.3 0.3 0.3 0.4 0.4 0.5 0.5 0.6 0.7 0.8 0.8 1.0 1.0 1.1 1.3

0.8 145

0.9 195

90 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.1 0.1 0.1 0.2 0.2 0.2 0.2 0.3 0.3 0.3 0.4 0.5 0.6 0.8

0.9 255

eMax _C

12.0% Maximum superelevation (sets minimum radius) 0.9 Lateral clearance per vehicle (m) User input lateral clearance per vehicle (m)

xhibit 3-47

meters

) 100 0.0 0.0 0.0 0.0 0.0 0.0 0.1 0.1 0.1 0.2 0.2 0.2 0.2 0.3 0.3 0.3 0.4 0.4 0.5 0.6

110 0.0 0.0 0.0 0.0 0.0 0.1 0.1 0.2 0.2 0.2 0.2 0.2 0.3 0.3 0.3 0.4 0.4 0.5 0.5

120 0.0 0.0 0.0 0.0 0.0 0.1 0.1 0.2 0.2 0.2 0.2 0.3 0.3 0.3 0.4 0.4 0.4 0.5

130 0.0 0.0 0.0 0.0 0.1 0.1 0.1 0.2 0.2 0.2 0.3 0.3 0.3 0.4 0.4 0.4 0.5

C_table Wn C 5.4 6 6.6 7.2

Traveled Way Widening w widening = Wc - Wn Wc Width on curve Wn Width on tangent

N U C FA Z

1 330

1.1 415

1.1 540

1.2 665

0.45 0.6 0.75 0.9

Wc = N(U+C)+(N-1)FA+Z Number of lanes Track width of design vehicle Lateral clearance Width of front overhang of inner-lane vehicle Extra width allowance

Vehicle Side Friction <f_table> km/h f 15 0.4 20 0.35 30 0.28 40 0.23 50 0.19 60 0.17 70 0.15 80 0.14 90 0.13 100 0.12 110 0.11 120 0.09 130 0.08

= Wc - Wn

DesVeh

u track width P 1.83 SU 2.44 BUS-12 2.59 BUS-14 2.59 CITY-BUS 2.59 S-BUS-11 2.44 S-BUS-12 2.44 A-BUS 2.59 WB-12 2.44 WB-15 2.59 WB-19 2.59 WB-20 2.59 WB-20D 2.59 WB-30T 2.59 WB-33D 2.59 MH 2.44 P/T 2.44 P/B 2.44 MH/B 2.44

+C)+(N-1)FA+Z

th of design vehicle

= u + R - sqrt(R^2 - sum(Li^2))

ront overhang of inner-lane = sqrt(R^2+A(2L+A)) vehicle -R = 0.1(V/sqrt(R))

front to rear wheels

Σ Li ² 11.2225 37.21 62.17323 75.5161 58.0644 42.1201 37.21 57.6124 74.889 131.5885 187.6781 211.2301 113.2115 166.0379 325.7184 37.21 37.8565 29.797 54.746

A L direction front overhang Wheelbase 0.91 3.35 1.22 6.1 1.83 7.32 1.83 8.08 2.13 7.62 0.76 6.49 2.13 6.1 2.62 6.71 0.91 3.81 0.91 4.45 1.22 6.58 1.22 6.58 0.71 3.35 0.71 3.35 0.71 4.36 1.22 6.1 0.91 3.35 0.91 3.35 1.22 6.1

1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1

L1

L2

direction 3.35 6.1 7.885 8.69 7.62 6.49 6.1 6.71 3.81 3.81 5.95 5.95 3.35 3.35 3.71 6.1 3.35 3.35 6.1

L3

direction

L4

direction

-1 1 1 1 1 2 -1 -1

1.89 7.77 10.82 12.34 13.26 7.01 0.15 0.15

1

4.02

-1 3 2

0.91 7.01 12.34

-1 -1 -1

1.52 1.52 1.83

1 1 1

5.38 4.57 4.57

1 -2 -1

L5

direction

2.13 0.91 1.37

2 1

2.13 3.05

WB-50 2 24 ft

Design Vehicle Number of Lanes Traveled Way for two lanes

Table matches Green Book Exhibit 3-47 Traveled Way width: 24 feet

Curve Radius (ft) 25000 20000 15000 10000 7500 7000 6500 6000 5500 5000 4500 4000 3500 3000 2500 2000 1800 1600 1400 1200 1000 900 800 750 700 600 500 450 400 350 300 250 200 175 150 125 100 75 50 225 Min R:

15 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.1 0.2 0.3 0.4 0.7 0.9 1.1 1.4 1.5 1.7 2.1 2.6 3.0 3.4 4.0 4.8 5.8 7.4 8.6 10.1 12.3 15.7 21.6 36.2 6.6 35

20 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.2 0.3 0.4 0.6 0.8 1.1 1.3 1.5 1.7 1.8 2.3 2.8 3.2 3.7 4.3 5.1 6.2 7.8 9.0 10.6 12.8 16.2 22.2

25 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.1 0.3 0.4 0.5 0.7 0.9 1.3 1.5 1.7 1.9 2.0 2.5 3.1 3.4 3.9 4.5 5.3 6.5 8.2 9.4 11.0 13.2

30 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.2 0.4 0.5 0.7 0.8 1.1 1.4 1.6 1.9 2.0 2.2 2.7 3.3 3.7 4.2 4.8 5.6 6.8 8.5

35 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.1 0.3 0.5 0.6 0.8 1.0 1.2 1.6 1.8 2.1 2.2 2.4 2.9 3.5 3.9 4.4 5.1 5.9

40 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.1 0.2 0.4 0.6 0.8 0.9 1.1 1.4 1.7 2.0 2.2 2.4 2.6 3.1 3.7 4.1 4.7

6.9 70

7.2 120

7.6 190

7.9 270

8.2 380

Note: All values in feet Note: Values less than 2 feet may be disregarded

Design Speed (MPH) 45 50 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.1 0.1 0.2 0.2 0.3 0.3 0.4 0.5 0.6 0.7 0.9 0.9 1.0 1.0 1.2 1.2 1.4 1.5 1.7 1.9 2.0 2.1 2.3 2.4 2.6 2.6 2.8 2.8 3.0 3.3 3.9

8.6 500

8.9 640

eMax _C

12.0% Maximum superelevation (sets minimum radius) 3 Lateral clearance per vehicle (ft) User input lateral clearance per vehicle (ft)

een Book Exhibit 3-47

y width: 24 feet

peed (MPH) 55 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.1 0.1 0.2 0.3 0.5 0.7 1.0 1.1 1.3 1.5 1.8 2.2 2.5

60 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.1 0.1 0.2 0.3 0.4 0.6 0.8 1.1 1.2 1.4 1.7 2.0 2.4

65 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.1 0.1 0.2 0.3 0.4 0.5 0.7 0.9 1.2 1.3 1.5 1.8

9.2 805

9.6 1000

9.9 1225

70 0.0 0.0 0.0 0.0 0.0 0.0 0.1 0.1 0.2 0.3 0.4 0.5 0.6 0.8 1.0 1.3 1.5 1.7

75 0.0 0.0 0.0 0.0 0.1 0.1 0.2 0.2 0.3 0.4 0.4 0.6 0.7 0.9 1.1 1.4 1.6

80 0.0 0.0 0.0 0.0 0.1 0.2 0.2 0.3 0.3 0.4 0.5 0.6 0.8 0.9 1.2

C_table Wn 18 20 22 24

Traveled Way Widening w Wc Wn

N U C FA Z

10.2 1485

10.6 1785

10.9 2135

Vehicle Side Friction <f_table> C MPH f 1.5 10 0.38 2 15 0.32 2.5 20 0.27 3 25 0.23 30 0.2 35 0.18 40 0.16 45 0.15 50 0.14 55 0.13 60 0.12 65 0.11 70 0.1 75 0.09 Traveled Way Widening 80 0.08 widening = Wc - Wn Width on curve Width on tangent

DesVeh P SU BUS-40 BUS-45 CITY-BUS S-BUS-36 S-BUS-40 A-BUS WB-40 WB-50 WB-62 WB-65/67 WB-67D WB-100T WB-109D MH P/T P/B MH/B

Wc = N(U+C)+(N-1)FA+Z Number of lanes Track width of design vehicle = u + R - sqrt(R^2 - sum(Li^2)) Lateral clearance Width of front overhang of inner-lane = sqrt(R^2+A(2L+A)) vehicle -R Extra width allowance = V/sqrt(R)

Σ Li ² u A track width front overhang 6 121 3 8 400 4 8.5 668.2225 6 8.5 812.25 6 8.5 625 7 8 453.69 2.5 8 400 7 8.5 619.8 8.6 8 806.5 3 8.5 1416.5 3 8.5 2020.5 4 8.5 2272.5 4 8.5 1219 2.33 8.5 1787.75 2.33 8.5 3508.84 2.33 8 400 4 8 409.29 3 8 321 3 8 589 4

front to rear wheels L direction Wheelbase 11 20 24 26.5 25 21.3 20 22 12.5 14.6 21.6 21.6 11 11 14.3 20 11 11 20

L1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1

L2

direction 11 20 25.85 28.5 25 21.3 20 22 12.5 12.5 19.5 19.5 11 11 12.2 20 11 11 20

L3

direction

L4

direction

-1 1 1 1 1 2 -1 -1

6.2 25.5 35.5 40.5 43.5 23 0.5 0.5

1

13.2

-1 3 2

3 23 40.5

-1 -1 -1

5 5 6

1 1 1

17.7 15 15

1 -2 -1

7 3 4.5

L5

direction

2 1

7 10

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