A simple horizontal curve is being designed for a local $2-$lane road with $3\mathrm{.}5$ m lanes width. Due to geometric features in the

neighborhood, the radius is chosen as $185$ m $.$ The curve's central angle is $35.$ The Posted Speed limit on the road is $50K\frac{m}{h}r.$ The station of the end of circular curve $($C$.$T$.)$ is $700+00.$ The inside edge of the curve is the west bound traffic. west bound is a $4\mathrm{.}0\%$ uphill slope. Use Table $3\mathrm{.}2\mathrm{.}1$ from the Transportation Association of Canada $($TAC$)$ to determine the coefficient of side $($lateral$)$ friction.

Calculate the following:

a$)$ Degree of curvature.

b$)$ Superelevation on the curve

c$)$ Length of the curve.

d$)$ The clearance on the inside edge to satisfy sufficient sight distance

e$)$ Plot a sketch $($plan$,$ elevation and cross$-$section$($s$))$ to show how the superelevation will be gradually introduced to the roadway through rotation around road centreline. Assume the normal crossfall is $2\%.$ Show the stations TC$,$ Start of tangent runout and end of superelevation runoff, and the start of lowering inside edge.