A two$-$way two$-$lane horizontal curve is designed given the following characteristics:

Given:

a$)$ Lane width $=12$ ft

b$)$ Normal crown $=2\mathrm{.}5\%$

c$)$ emax $=12\%$

d$)$ Radius $=1500$ feet

e$)$ Design Speed $=60$ mph

f$)$ Spiral curve should be provided at each end of the simple curve

g$)$ Station of TS $=60+00$

h$)\backslash$Delta $=30\backslash$deg

i$)$ Length of Spiral Curve Ls $=300$

a$)$ Calculate the minimum superelevation development lengths $($Runout and Runoff lengths$).$

b$)$ Draw the progress of pavement transition from tangent to curve then to tangent again if the pavement is rotated about the centerline. On the drawing, it is required to calculate and show the superelevation runout and runoff lengths, stations, levels of outside and inside edges at the following points TS$,$ SC$,$ CS and ST$.$

c$)$ Draw the progress of pavement transition from tangent to curve then to tangent again if the pavement is rotated about the inside edge $($IE$).$ On the drawing, it is required to calculate and show the superelevation runout and runoff lengths, stations, levels of centerline and outside edges at the following points TS$,$ SC$,$ CS and ST$.$