Calculate the Superwidth of a given highway, considering the data below: Data: Vp = 50 km/h Rc =480m Use an SU truck as the Standard vehicle
Question
Answer:
Given data:
Vp (operating speed) = 50 km/h
Rc (turning radius) = 480 meters
To calculate the superwidth, we can use the following formula:
Superwidth = W + 2 * Rc * tan(Δ/2)
Where:
W is the width of the road.
Rc is the turning radius of the vehicle.
Δ is the maximum angle of turn of the vehicle.
For an SU truck, the maximum angle of turn (Δ) is typically taken as 30 degrees (0.5236 radians). This is a common standard for design vehicles.
Let's calculate it:
Δ = 0.5236 radians
Superwidth = W + 2 * 480 meters * tan(0.2615 radians)
Now, we need to convert the operating speed (Vp) from km/h to m/s, since tan(Δ/2) is dimensionless:
Vp = 50 km/h = (50 * 1000) m/3600 s ≈ 13.89 m/s
Now, calculate tan(0.5236 radians):
tan(0.2618 radians) ≈ 0.267
Now, plug these values into the formula:
Superwidth = W + 2 * 480 meters * 0.267 ≈ W + 257.23 meters
So, the superwidth of the given highway is approximately W + 257.23 meters, where W is the width of the road in meters. You'll need to provide the width of the road to calculate the exact superwidth.
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11 months ago
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