A two$-$lane highway $($one $3\mathrm{.}5$ m lane in each direction$)$ with a design speed of $90k\frac{m}{h}$ goes from normal crown with $2\%$ cross$-$slope to $6\%$ superelevation by means of a spiral transition curve. The spiral curve is $60$ m long. If the superelevation is attained by rotating the road section around its centreline:

$($a$)$ Draw a cross section of the road at $L=10,20,40m$ from TS$.($Show all the drawings in the uploaded solution sheet.

Horizontal distances, and elevated heights must all be labelled in the drawing$)$

$($b$)$ Calculate the elevation of the outer edge with respect to the centre line at $2\%$ cross fall $=$

m

$($c$)$ Calculate the elevation of the outer edge with respect to the centre line at $6\%$ full superelevation $=$ m

$($d$)$ Calculate the elevation of the inner and outer edge at $L=0,10,20,40,SCm$ from TS$.$

$\backslash$table$[[\backslash$table$[[$Distance$],[$from TS$]],0$ m$,10$ m$,20$ m$,40$ m$,],[\backslash$table$[[$Elevation$],[$of the$],[$outer$],[$edge $($m$)]],,,,,],[\backslash$table$[[$Elevation$],[$of the$],[$inner$],[$edge $($m$)]],,,,,]]$

$($Hint: draw a superelevation development diagram$)$