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Curve Widening

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Page 1: Curve Widening

WB-15 Design Vehicle

2 Number of Lanes Table matches Green Book Exhibit 3-47

7.2 m Traveled Way for two lanes

Traveled Way width: 7.2 meters

Curve Design Speed (km/h)

Radius (m) 20 30 40 50 60 70 80 90

7000 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0

6000 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0

5000 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0

4000 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0

3000 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0

2500 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0

2000 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0

1500 0.0 0.0 0.0 0.0 0.0 0.1 0.1 0.1

1400 0.0 0.0 0.0 0.0 0.0 0.1 0.1 0.1

1300 0.0 0.0 0.0 0.0 0.1 0.1 0.1 0.1

1200 0.0 0.0 0.0 0.0 0.1 0.1 0.1 0.2

1100 0.0 0.0 0.0 0.1 0.1 0.1 0.1 0.2

1000 0.0 0.0 0.0 0.1 0.1 0.1 0.2 0.2

900 0.0 0.0 0.1 0.1 0.1 0.2 0.2 0.2

800 0.0 0.1 0.1 0.1 0.2 0.2 0.2 0.3

750 0.0 0.1 0.1 0.1 0.2 0.2 0.3 0.3

700 0.0 0.1 0.1 0.2 0.2 0.2 0.3 0.3

600 0.1 0.1 0.2 0.2 0.3 0.3 0.3 0.4

500 0.1 0.2 0.2 0.3 0.3 0.4 0.4 0.5

400 0.2 0.3 0.3 0.4 0.4 0.5 0.5 0.6

300 0.3 0.4 0.5 0.5 0.6 0.6 0.7 0.8

250 0.5 0.5 0.6 0.6 0.7 0.8 0.8

200 0.6 0.7 0.7 0.8 0.9 1.0 1.0

175 0.7 0.8 0.9 0.9 1.0 1.1

150 0.9 0.9 1.0 1.1 1.2 1.3

140 0.9 1.0 1.1 1.2 1.3

130 1.0 1.1 1.2 1.3 1.4

120 1.1 1.2 1.3 1.4 1.5

110 1.2 1.3 1.4 1.5 1.6

100 1.3 1.4 1.5 1.6 1.7

90 1.5 1.6 1.7 1.8

80 1.7 1.8 1.9 2.0

70 2.0 2.1 2.2 2.3

60 2.3 2.5 2.6

50 2.8 3.0 3.1

40 3.6 3.7 3.9

30 4.9 5.0

25 5.9 6.1

20 7.7 7.9

15 11.3

240 0.5 0.5 0.6 0.7 0.7 0.8 0.9 0.9

Min R: 5 20 35 65 100 145 195 255

Note: All values in meters

Note: Values less than 0.6 meter may be disregarded

Page 2: Curve Widening

eMax 12.0% Maximum superelevation (sets minimum radius)

_C 0.9 Lateral clearance per vehicle (m)

User input lateral clearance per vehicle (m)

Page 3: Curve Widening

Table matches Green Book Exhibit 3-47

Traveled Way width: 7.2 meters

Design Speed (km/h) C_table

100 110 120 130 Wn C

0.0 0.0 0.0 0.0 5.4 0.45

0.0 0.0 0.0 0.0 6 0.6

0.0 0.0 0.0 0.0 6.6 0.75

0.0 0.0 0.0 0.0 7.2 0.9

0.0 0.0 0.0 0.1

0.0 0.1 0.1 0.1

0.1 0.1 0.1 0.1

0.1 0.2 0.2 0.2

0.1 0.2 0.2 0.2

0.2 0.2 0.2 0.2

0.2 0.2 0.2 0.3

0.2 0.2 0.3 0.3

0.2 0.3 0.3 0.3

0.3 0.3 0.3 0.4

0.3 0.3 0.4 0.4 Traveled Way Widening

0.3 0.4 0.4 0.4 w widening = Wc - Wn

0.4 0.4 0.4 0.5 Wc Width on curve

0.4 0.5 0.5 Wn Width on tangent

0.5 0.5

0.6 Wc = N(U+C)+(N-1)FA+Z

N Number of lanes

U Track width of design vehicle

C Lateral clearance

FA Width of front overhang of inner-lane vehicle

Z Extra width allowance

1 1.1 1.1 1.2

330 415 540 665

Page 4: Curve Widening
Page 5: Curve Widening

Vehicle front to rear wheels

Side Friction <f_table> DesVeh u Σ Li ² A L direction

km/h f track width front overhangWheelbase

15 0.4 P 1.83 11.2225 0.91 3.35 1

20 0.35 SU 2.44 37.21 1.22 6.1 1

30 0.28 BUS-12 2.59 62.17323 1.83 7.32 1

40 0.23 BUS-14 2.59 75.5161 1.83 8.08 1

50 0.19 CITY-BUS 2.59 58.0644 2.13 7.62 1

60 0.17 S-BUS-11 2.44 42.1201 0.76 6.49 1

70 0.15 S-BUS-12 2.44 37.21 2.13 6.1 1

80 0.14 A-BUS 2.59 57.6124 2.62 6.71 1

90 0.13 WB-12 2.44 74.889 0.91 3.81 1

100 0.12 WB-15 2.59 131.5885 0.91 4.45 1

110 0.11 WB-19 2.59 187.6781 1.22 6.58 1

120 0.09 WB-20 2.59 211.2301 1.22 6.58 1

130 0.08 WB-20D 2.59 113.2115 0.71 3.35 1

WB-30T 2.59 166.0379 0.71 3.35 1

WB-33D 2.59 325.7184 0.71 4.36 1

= Wc - Wn MH 2.44 37.21 1.22 6.1 1

P/T 2.44 37.8565 0.91 3.35 1

P/B 2.44 29.797 0.91 3.35 1

MH/B 2.44 54.746 1.22 6.1 1

Wc = N(U+C)+(N-1)FA+Z

Track width of design vehicle = u + R - sqrt(R^2 - sum(Li^2))

Width of front overhang of inner-lane vehicle = sqrt(R^2+A(2L+A)) - R

= 0.1(V/sqrt(R))

Page 6: Curve Widening
Page 7: Curve Widening

L1 direction L2 direction L3 direction L4 direction L5

3.35

6.1

7.885

8.69

7.62

6.49

6.1

6.71 -1 1.89 1 4.02

3.81 1 7.77

3.81 1 10.82

5.95 1 12.34

5.95 1 13.26

3.35 2 7.01 -1 0.91 1 2.13

3.35 -1 0.15 3 7.01 -2 0.91 2 2.13

3.71 -1 0.15 2 12.34 -1 1.37 1 3.05

6.1

3.35 -1 1.52 1 5.38

3.35 -1 1.52 1 4.57

6.1 -1 1.83 1 4.57

Page 8: Curve Widening

WB-50 Design Vehicle

2 Number of Lanes Table matches Green Book Exhibit 3-47

24 ft Traveled Way for two lanes

Traveled Way width: 24 feet

Curve Design Speed (MPH)

Radius (ft) 15 20 25 30 35 40 45 50

25000 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0

20000 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0

15000 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0

10000 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0

7500 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0

7000 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0

6500 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0

6000 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0

5500 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0

5000 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0

4500 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.1

4000 0.0 0.0 0.0 0.0 0.0 0.0 0.1 0.2

3500 0.0 0.0 0.0 0.0 0.0 0.1 0.2 0.3

3000 0.0 0.0 0.0 0.0 0.1 0.2 0.3 0.4

2500 0.0 0.0 0.1 0.2 0.3 0.4 0.5 0.6

2000 0.1 0.2 0.3 0.4 0.5 0.6 0.7 0.9

1800 0.2 0.3 0.4 0.5 0.6 0.8 0.9 1.0

1600 0.3 0.4 0.5 0.7 0.8 0.9 1.0 1.2

1400 0.4 0.6 0.7 0.8 1.0 1.1 1.2 1.4

1200 0.7 0.8 0.9 1.1 1.2 1.4 1.5 1.7

1000 0.9 1.1 1.3 1.4 1.6 1.7 1.9 2.0

900 1.1 1.3 1.5 1.6 1.8 2.0 2.1 2.3

800 1.4 1.5 1.7 1.9 2.1 2.2 2.4 2.6

750 1.5 1.7 1.9 2.0 2.2 2.4 2.6 2.8

700 1.7 1.8 2.0 2.2 2.4 2.6 2.8 3.0

600 2.1 2.3 2.5 2.7 2.9 3.1 3.3

500 2.6 2.8 3.1 3.3 3.5 3.7 3.9

450 3.0 3.2 3.4 3.7 3.9 4.1

400 3.4 3.7 3.9 4.2 4.4 4.7

350 4.0 4.3 4.5 4.8 5.1

300 4.8 5.1 5.3 5.6 5.9

250 5.8 6.2 6.5 6.8

200 7.4 7.8 8.2 8.5

175 8.6 9.0 9.4

150 10.1 10.6 11.0

125 12.3 12.8 13.2

100 15.7 16.2

75 21.6 22.2

50 36.2

225 6.6 6.9 7.2 7.6 7.9 8.2 8.6 8.9

Min R: 35 70 120 190 270 380 500 640

Note: All values in feet

Note: Values less than 2 feet may be disregarded

Page 9: Curve Widening

eMax 12.0% Maximum superelevation (sets minimum radius)

_C 3 Lateral clearance per vehicle (ft)

User input lateral clearance per vehicle (ft)

Page 10: Curve Widening

Table matches Green Book Exhibit 3-47

Traveled Way width: 24 feet

Design Speed (MPH) C_table

55 60 65 70 75 80 Wn

0.0 0.0 0.0 0.0 0.0 0.0 18

0.0 0.0 0.0 0.0 0.0 0.0 20

0.0 0.0 0.0 0.0 0.0 0.0 22

0.0 0.0 0.0 0.0 0.0 0.0 24

0.0 0.0 0.0 0.0 0.1 0.1

0.0 0.0 0.0 0.0 0.1 0.2

0.0 0.0 0.0 0.1 0.2 0.2

0.0 0.0 0.1 0.1 0.2 0.3

0.0 0.1 0.1 0.2 0.3 0.3

0.1 0.1 0.2 0.3 0.4 0.4

0.1 0.2 0.3 0.4 0.4 0.5

0.2 0.3 0.4 0.5 0.6 0.6

0.3 0.4 0.5 0.6 0.7 0.8

0.5 0.6 0.7 0.8 0.9 0.9

0.7 0.8 0.9 1.0 1.1 1.2 Traveled Way Widening

1.0 1.1 1.2 1.3 1.4 w

1.1 1.2 1.3 1.5 1.6 Wc

1.3 1.4 1.5 1.7 Wn

1.5 1.7 1.8

1.8 2.0

2.2 2.4 N

2.5 U

C

FA

Z

9.2 9.6 9.9 10.2 10.6 10.9

805 1000 1225 1485 1785 2135

Page 11: Curve Widening
Page 12: Curve Widening

Vehicle

Side Friction <f_table> DesVeh u Σ Li ² A

C MPH f track width front overhang

1.5 10 0.38 P 6 121 3

2 15 0.32 SU 8 400 4

2.5 20 0.27 BUS-40 8.5 668.2225 6

3 25 0.23 BUS-45 8.5 812.25 6

30 0.2 CITY-BUS 8.5 625 7

35 0.18 S-BUS-36 8 453.69 2.5

40 0.16 S-BUS-40 8 400 7

45 0.15 A-BUS 8.5 619.8 8.6

50 0.14 WB-40 8 806.5 3

55 0.13 WB-50 8.5 1416.5 3

60 0.12 WB-62 8.5 2020.5 4

65 0.11 WB-65/67 8.5 2272.5 4

70 0.1 WB-67D 8.5 1219 2.33

75 0.09 WB-100T 8.5 1787.75 2.33

Traveled Way Widening 80 0.08 WB-109D 8.5 3508.84 2.33

widening = Wc - Wn MH 8 400 4

Width on curve P/T 8 409.29 3

Width on tangent P/B 8 321 3

MH/B 8 589 4

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 vehicle = sqrt(R^2+A(2L+A)) - R

Extra width allowance = V/sqrt(R)

Page 13: Curve Widening
Page 14: Curve Widening

front to rear wheels

L direction L1 direction L2 direction L3 direction L4

Wheelbase

11 1 11

20 1 20

24 1 25.85

26.5 1 28.5

25 1 25

21.3 1 21.3

20 1 20

22 1 22 -1 6.2 1 13.2

12.5 1 12.5 1 25.5

14.6 1 12.5 1 35.5

21.6 1 19.5 1 40.5

21.6 1 19.5 1 43.5

11 1 11 2 23 -1 3 1 7

11 1 11 -1 0.5 3 23 -2 3

14.3 1 12.2 -1 0.5 2 40.5 -1 4.5

20 1 20

11 1 11 -1 5 1 17.7

11 1 11 -1 5 1 15

20 1 20 -1 6 1 15

Page 15: Curve Widening
Page 16: Curve Widening

direction L5

2 7

1 10