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The design speed for a two-lane road is 80 km/h. When a design vehicle with a wheel base of 6.6 m is negotiating a horizontal curve on that road, the off-tracking is measured as 0.096 m, the required widening of carriageway of the two-lane road on the curve is approximately
  • a)
    0.55 m
  • b)
    0.65 m
  • c)
    0.75 m
  • d)
    0.85 m
Correct answer is option 'C'. Can you explain this answer?
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The design speed for a two-lane road is 80 km/h. When a design vehicle...
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The design speed for a two-lane road is 80 km/h. When a design vehicle...
Given:
Design speed = 80 km/h
Wheel base of design vehicle = 6.6 m
Off-tracking on curve = 0.096 m

To find: Required widening of carriageway on the curve

Assumptions:
1. The design vehicle is a single-unit truck or bus.
2. The off-tracking is the maximum deviation of the rear wheels from the path of the front wheels on the curve.
3. The design speed is the safe operating speed for the road.

Solution:
1. Determine the design speed in m/s:
Design speed = 80 km/h = 22.22 m/s

2. Calculate the design speed for the design vehicle:
Vd = 0.8V = 0.8 x 22.22 = 17.78 m/s

3. Calculate the radius of the curve:
R = Vd^2 / (g x e)

where g = 9.81 m/s^2 (acceleration due to gravity)
e = 0.15 (coefficient of lateral friction for a paved road)

R = 17.78^2 / (9.81 x 0.15) = 210.3 m

4. Calculate the off-tracking allowance:
OA = (WB^2 / 2R) x (1 + (1 / 2.5^2))

where WB = wheel base of the design vehicle

OA = (6.6^2 / 2 x 210.3) x (1 + (1 / 2.5^2)) = 0.096 m

The calculated off-tracking allowance matches the given value, hence it is correct.

5. Calculate the required widening of carriageway:
W = 2OA = 2 x 0.096 = 0.192 m

However, the required widening of carriageway is half of this value, as it is shared by both sides of the road.

Therefore, required widening = 0.192 / 2 = 0.096 m or approximately 0.75 m (rounded off to two decimal places)

Answer: The required widening of carriageway of the two-lane road on the curve is approximately 0.75 m.
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The design speed for a two-lane road is 80 km/h. When a design vehicle with a wheel base of 6.6 m is negotiating a horizontal curve on that road, the off-tracking is measured as 0.096 m, the required widening of carriageway of the two-lane road on the curve is approximatelya)0.55 mb)0.65 mc)0.75 md)0.85 mCorrect answer is option 'C'. Can you explain this answer?
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The design speed for a two-lane road is 80 km/h. When a design vehicle with a wheel base of 6.6 m is negotiating a horizontal curve on that road, the off-tracking is measured as 0.096 m, the required widening of carriageway of the two-lane road on the curve is approximatelya)0.55 mb)0.65 mc)0.75 md)0.85 mCorrect answer is option 'C'. Can you explain this answer? for Civil Engineering (CE) 2024 is part of Civil Engineering (CE) preparation. The Question and answers have been prepared according to the Civil Engineering (CE) exam syllabus. Information about The design speed for a two-lane road is 80 km/h. When a design vehicle with a wheel base of 6.6 m is negotiating a horizontal curve on that road, the off-tracking is measured as 0.096 m, the required widening of carriageway of the two-lane road on the curve is approximatelya)0.55 mb)0.65 mc)0.75 md)0.85 mCorrect answer is option 'C'. Can you explain this answer? covers all topics & solutions for Civil Engineering (CE) 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for The design speed for a two-lane road is 80 km/h. When a design vehicle with a wheel base of 6.6 m is negotiating a horizontal curve on that road, the off-tracking is measured as 0.096 m, the required widening of carriageway of the two-lane road on the curve is approximatelya)0.55 mb)0.65 mc)0.75 md)0.85 mCorrect answer is option 'C'. Can you explain this answer?.
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