Question

A new interstate highway is being built with a the su design speed of 110 km/h. for one of the horizontal maxim curves, the radius (measured to the innermost vehicle m of la path) is tentatively planned as 275 m. what rate of design superelevation is required for this curve?

Answer 1

36.9%

Step-by-step explanation:

The rate of design superelevation required for a curve on an interstate highway can be calculated using the formula:

E = (V^2) / (g * r)

where:

E = rate of superelevation (expressed as a decimal)

V = design speed of the curve (in m/s)

g = acceleration due to gravity (9.81 m/s^2)

r = radius of the curve (in meters)

Given:

Design speed (V) = 110 km/h = (110 * 1000) / (60 * 60) m/s = 30.56 m/s

Radius of the curve (r) = 275 m

Acceleration due to gravity (g) = 9.81 m/s^2

Plugging these values into the formula, we get:

E = (30.56^2) / (9.81 * 275)

E = 0.369

So, the rate of design superelevation required for this curve is approximately 0.369, or 36.9%. This means that the outer edge of the curve needs to be raised by 36.9% of the roadway width in order to provide sufficient banking for safe and comfortable travel at the design speed of 110 km/h.