A SCS$-$Curve has a radius$=445$m and angle of $32\mathrm{.}2$ Degree and the speed limit is $80$ km$/$hr$.$ Maximum superelevation is $5\%$ and the friction factor$=0\mathrm{.}14.$ rate of rotation is $3\%/$sec$.$

$1.$ determine the curve coordination and find the

$2$ Design superelevation

$3$ Runoff length

$4$ Shift distance

$5$ Length of curve and spiral

$6$ The station of PI$=1367\mathrm{.}568.$

Find the station of points TS$,$ SC$,$ CS$,$ ST$.$