Vertical Alignment

A parabolic vertical summit curve between two gradients has been designed in accordance with desirable

minimum standards given in CD$109$ Highway Link Design.

Approach gradient g $1=3\mathrm{.}2\%$

Departure gradient g $2=-3\mathrm{.}3\%$

Summit level h sum $=43\mathrm{.}3$m

Chainage of the vertical intersection point $2513\mathrm{.}615$ m

Design speed $120$kph Desireable minimum crest K value $=182$ one step below minimum crest k value $=100$

a$)$ What is the chainage and level at each end of the curve? use detailed diagrams to show method of calculating

b$)$ Between what chainages is the level greater than $42$m$?$ use detailed diagrams to show method of calculating