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The ruling radius of the horizontal curve on a highway with a design speed of 65 kmph, considering allowable superelevation to be 7% and lateral friction as 0.12
  • a)
    150 m
  • b)
    175 m
  • c)
    200 m
  • d)
    225 m
Correct answer is option 'B'. Can you explain this answer?
Verified Answer
The ruling radius of the horizontal curve on a highway with a design ...
The ruling radius of the horizontal curve on a highway, Ruling =
where, e = allowable superelevation
f = coefficient of lateral friction
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The ruling radius of the horizontal curve on a highway with a design ...
Calculation of Ruling Radius

Design Speed: 65 kmph
Allowable Superelevation: 7%
Lateral Friction: 0.12

Formula to calculate Ruling Radius:

R = V^2 / g (e+f)

Where,
R = Ruling Radius (m)
V = Design Speed (m/s)
g = Acceleration due to gravity (9.81 m/s^2)
e = Superelevation (decimal)
f = Lateral Friction (decimal)

Calculation:

Convert Design Speed from kmph to m/s:

65 kmph = 18.06 m/s

Substitute the given values in the formula:

R = (18.06)^2 / (9.81) (0.07 + 0.12)
R = 174.92 m

Therefore, the ruling radius of the horizontal curve on a highway with a design speed of 65 kmph, considering allowable superelevation to be 7% and lateral friction as 0.12, is 175 m (approx). The correct answer is option B.
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The ruling radius of the horizontal curve on a highway with a design speed of 65 kmph, considering allowable superelevation to be 7% and lateral friction as 0.12a)150 mb)175 mc)200 md)225 mCorrect answer is option 'B'. Can you explain this answer?
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