A two$-$lane two$-$way road with circular curve of radius $600$ m to the right is

superelevated by revolving the travelled way about the centreline.

Design speed $=100k\frac{m}{h}r$

Horizontal curve length $=300m$

Maximum super elevation $=10\%$

Pavement cross$-$slope $=2\%$

Chainage at the beginning of the curve $(PC)=14+100\mathrm{.}00m$

$($Distance between stations is $1000$ m $)$

Assume one$-$third of the superelevation run$-$off transition is in the curve.

a$)$ Calculate the chainage at:

i$.$ The beginning of the tangent run$-$out

ii$.$ Beginning of the superelevation run$-$off

iii. Beginning of the circular curve

iv$.$ End of the circular curve

v$.$ End of the superelevation ren$-$off and

vi$.$ End of tangent run$-$out

b$)$ Draw the development of superelevation on a graph sheet using suitable scale.