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**Question 1. A parabolic vertical curve is being designed to join a road of grade +5% with a road of grade -3%. The length of die vertical curve is 400 m measured along the horizontal, The vertical point of curvature (VPC) is located an the road of grade +5%. The difference in height between VPC and vertical point of intersection (VPI) (in m, round off to the nearest integer) is _____. [2019 : 2 Marks, Set-I]****Solution: ****Question 2. **** The coefficient of average rolling friction of a road is f _{r}, and its grade is +G%. If the grade of this road is doubled, what will be the percentage change in the braking distance (for the design vehicle to come to a stop) measured along the horizontal (assume all other parameters are kept unchanged)? [2019 : 1 Mark, Set-I]**

(b)

(c)

(d)

Percentage change in Braking Distance

Overtaking time,

S = Space heady way = 16 m

a = Acceleration = 4 m/s

Distance travelled by vehicle = S

(a) 50 m and 20 m

(b) 61m and 18 m

(c) 111m and 15 m

(d) 122 m and 36 m

Answer:

Solution:

âˆ´ Grade compensation = 1.5%

(a)

(b)

(c)

(d)

Answer:

Given, R = 120 m, V = 60 kmph and f = 0.15

(a) e â‰¤ f

(b) e > f

(c) no limit on e can be set

(d)

Answer:

Sliding of stopped vehicle occurs if,

mg sinÎ¸ > fn

mg sinÎ¸ > f(mg cosÎ¸)

tanÎ¸ > f

e> f

Hence, to prevent sliding e â‰¤ f_{max}**Question 9. A motorist traveling at 100 km/h on a highway needs to take the next exit, which has a speed limit of 50 km/h. The section of the roadway before the ramp entry has a downgrade of 3% and coefficient of friction (f) is 0.35. In order to enter the ramp at the maximum allowable speed limit, the braking distance (expressed in m) from the exit ramp is_______. [2016 : 2 Marks, Set-II]****Solution: **

Total energy lost between point (1) and (2)

= Work done by frictional force**Question 10. A two lane, one-way road with radius of 50 m is predominantly carrying lorries with wheelbase of 5 m. The speed of lorries is restricted to be between 60 kmph and 80 kmph. The mechanical widening and psychological widening required at 60 kmph are designated as W _{me 60} and W_{ps 60}, respectively. The mechanical widening and psychological widening required at 80 kmph are designated as W_{me 80} and W_{ps 80}, respectively. The correct values of W_{me 60}, W_{ps 60}, W_{me 80}, W_{ps 80}, respectively are [2016 : 2 Marks, Set-I]**

As mechanical widening is independent of speed of the vehicle,

W

Hence, options (a) and (b) are eliminated.

Now, as psychological widening is directly proportional to the speed of the vehicle.

W

(a) 1.761

(b) 0.176

(c) 0.253

(d) 2.530

which will result in f = 0.685.

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