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What will be the ruling radius of a horizontal curve on a national highway for a design vehicle speed of 100 Km/h assuming allowable super elevation to be 7% and Lateral friction as 0.13?
- a)405m
- b)395m
- c)385m
- d)375m
Correct answer is option 'B'. Can you explain this answer?
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What will be the ruling radius of ahorizontal curve on a nationalhighw...
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What will be the ruling radius of ahorizontal curve on a nationalhighw...
To determine the ruling radius of a horizontal curve on a national highway, we need to consider the design vehicle speed, allowable super elevation, and lateral friction.
Given:
Design vehicle speed (V) = 100 km/h
Allowable super elevation (e) = 7%
Lateral friction (f) = 0.13
The ruling radius (R) can be calculated using the formula:
R = (V^2) / (g * (e + f))
Where:
V = Design vehicle speed (m/s)
g = Acceleration due to gravity (9.81 m/s^2)
e = Allowable super elevation
f = Lateral friction
Let's calculate the ruling radius step by step:
1. Convert the design vehicle speed from km/h to m/s:
V = 100 km/h * (1000 m/km) / (3600 s/h) = 27.8 m/s
2. Substitute the values into the formula:
R = (27.8^2) / (9.81 * (0.07 + 0.13))
R = 771.84 / (9.81 * 0.2)
R = 771.84 / 1.962
R ≈ 393.6 m
Therefore, the ruling radius of the horizontal curve on a national highway for a design vehicle speed of 100 km/h, with an allowable super elevation of 7% and lateral friction of 0.13, is approximately 393.6 m.
Hence, the correct answer is option (b) 395m.
Given:
Design vehicle speed (V) = 100 km/h
Allowable super elevation (e) = 7%
Lateral friction (f) = 0.13
The ruling radius (R) can be calculated using the formula:
R = (V^2) / (g * (e + f))
Where:
V = Design vehicle speed (m/s)
g = Acceleration due to gravity (9.81 m/s^2)
e = Allowable super elevation
f = Lateral friction
Let's calculate the ruling radius step by step:
1. Convert the design vehicle speed from km/h to m/s:
V = 100 km/h * (1000 m/km) / (3600 s/h) = 27.8 m/s
2. Substitute the values into the formula:
R = (27.8^2) / (9.81 * (0.07 + 0.13))
R = 771.84 / (9.81 * 0.2)
R = 771.84 / 1.962
R ≈ 393.6 m
Therefore, the ruling radius of the horizontal curve on a national highway for a design vehicle speed of 100 km/h, with an allowable super elevation of 7% and lateral friction of 0.13, is approximately 393.6 m.
Hence, the correct answer is option (b) 395m.
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What will be the ruling radius of ahorizontal curve on a nationalhighway for a design vehicle speedof 100 Km/h assuming allowablesuper elevation to be 7% andLateral friction as 0.13?a)405mb)395mc)385md)375mCorrect answer is option 'B'. Can you explain this answer?
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