QUESTION FIVE

a$)$ On a proposed road having a design speed of $100$ kph and a carriageway width of $7\mathrm{.}30$ m $,$ a composite curve consisting of two equal length cubic parabola transition curves and a central circular arc of radius $750$ m is to join two intersecting straights having a deflection angle of $09{34}^{\text{'}}{28}^{\text{'}\text{'}}.$ The rate of change of radial acceleration for the road is to be $0\mathrm{.}3ms-3$ and the superelevation should be introduced at a rate of no more than $1\%.$

i$.$ Calculate the amount of superelevation that must be built into the central circular arc.

ii$.$ Check that the transition curves are long enough for the superelevation to be introduced.

iii. Calculate the amount of superelevation that should be constructed along the entry transition curve at $20$ m intervals from the entry tangent point