Two vertical parabolic curves have been connected to form a roadway by three gradients: -5.30 %, 4.10 % and -3.70 % respectively. If the length of the second curve is twice as the length of the first curve, compute the following: a. The length of the second curve in ft given that the design speed of the first curve is 80 kph assuming a vertical radial acceleration of 0.3m/s2 for comfort criterion. b. The length of the second curve in m if the headlight height of the vehicle is 0.73 m above the first curve and the inclined upward angle of the headlight beam relative to the horizontal plane of the vehicle is 1.57% The design speed for the first curve for this situation is 90 kph. c. The length of the first curve in yard if the total length of the roadway is 7451 m given that the second curve has a design speed of 70 kph for passing sight distance with the driver's eye height assumed to be 1.5 m and object height of 0.33 m.

Traffic and Highway Engineering
5th Edition
ISBN:9781305156241
Author:Garber, Nicholas J.
Publisher:Garber, Nicholas J.
Chapter15: Geometric Design Of Highway Facilities
Section: Chapter Questions
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Two vertical parabolic curves have been connected to form a roadway by three

gradients: -5.30 %, 4.10 % and -3.70 % respectively. If the length of the second

curve is twice as the length of the first curve, compute the following:

a. The length of the second curve in ft given that the design speed of the first

curve is 80 kph assuming a vertical radial acceleration of 0.3m/s2 for

comfort criterion.

b. The length of the second curve in m if the headlight height of the vehicle is

0.73 m above the first curve and the inclined upward angle of the headlight

beam relative to the horizontal plane of the vehicle is 1.57% The design

speed for the first curve for this situation is 90 kph.


c. The length of the first curve in yard if the total length of the roadway is 7451

m given that the second curve has a design speed of 70 kph for passing sight

distance with the driver's eye height assumed to be 1.5 m and object height

of 0.33 m.

d.The total length of the roadway in km if a bridge structure were to be

located within the first curve, with a required clearance height of 6.25 m,

then assuming a driver's eye height of 3.4 m and an object height of 0.31 m

if the design speed is 130 kph.

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