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A two-lane highway with a design speed of 106.7 km/h requires a transition curve for a...

A two-lane highway with a design speed of 106.7 km/h requires a transition curve for a horizontal curve of 550 m radius. The curve is used to connect the tangents that form an external angle of 24 degree. The lanes of the highway are 3.65 m wide and the coefficient of side friction for this design speed is 0.11. The change of grade between the centreline and the edge (i.e. Δg) is limited to 1 over 250 for comfort.

Calculate the length of the required spiral to the nearest 5 m.

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