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Geometric Design: Example Problems

 
Horizontal Curve Radius Calculations

A new transportation engineer is charged with the design of a horizontal curve for the Queen's Highway in Canada. His final design calls for a curve with a radius of 520 meters. Would you sign your name to his plans?

Assume that the design speed for the Queen's highway is 110 km/h. You can also assume that snow and ice will be present on the roadway from time to time (it's Canada).   

[Solution Shown Below]

 

 

 

 

 

 

 

 

Solution

The first step in a review of his plans would be to make sure that the curve radius as designed is greater than the minimum curve radius. For a design speed of 110 km/h, the comfortable side-friction factor is 0.10.  In addition, since the roadway will be covered with snow and ice from time to time, the maximum superelevation rate is 8%. With this information we can go ahead and calculate the minimum curve radius using the equation below.

Rmin = V2/(127(emax/100+fmax))

Where:
Rmin = Minimum radius (m)
V = Design speed,110 km/hr
emax = Maximum superelevation rate, 8%
fmax = Maximum side-friction factor, 0.10

Substituting and solving yields a minimum radius of 530 meters. The 520 meter radius that is called for in the plans would probably work, but it might be uncomfortable for the vehicle occupants. A larger radius would be more appropriate.