$3$

CE $551$

Q$2)$ On a road with a width of $B=10m$ and a horizontal curve with a radius of $R=400m,$ a superelevation with a ramp length of $k=56m$ is applied while keeping the centre line fixed. The minimum slope equals $2\%,$ and the applied superelevation is $7\%.$

a$)$ Determine the length of the Clothoid transition curve and the design speed for this application, considering a value of $p^{\text{'}}=0\mathrm{.}4\frac{m}{s^3}.$

b$)$ Determine the Clothoid's parameters and investigate the superelevation's design, showing the superelevation's application on the plan and cross$-$section.