Question $1$

$1\mathrm{.}1$ You are working for a Civil Engineering Consulting firm as the earthworks Engineer and are required to do the earthworks planning on a road construction over a $1$ km section. The volume at the first station A is zero, use the given information below to answer the questions that follow.

The table below provides information of the stations $(A-H)$ and existing ground levels along the centre line of the road. The formation level at station $A$ is $23\mathrm{.}5$ m above the datum and rises uniformly at a gradient of $2\mathrm{.}7\%.$ The stations are situated $50$m apart.

Complete the table with corrected volumes and the mass ordinate,

$[15]$

Show calculations for gradient line values,

$[5]$

Draw the longitudinal section using the scale of $1$:$2500$ and a vertical scale of $1$:$250,$

$[15]$

Draw the mass haul diagram using the vertical scale of $1$:$50$ and a horizontal scale of $1$:$2500$ assuming a correction factor of $0\mathrm{.}75.$

$[15]$

NB: If your mass haul diagram does not balance, provide reason$/$s why and propose a solution.

$\backslash$table$[[$Station$,$Ground,Volume$],[$A$,49\mathrm{.}8,],[,,+1560],[$B$,54\mathrm{.}3,],[,,+1325],[$C$,50\mathrm{.}4,],[,,+415],[$D$,44\mathrm{.}1,-195],[,,],[$E$,41\mathrm{.}7,-912],[,,-1890],[$F$,36\mathrm{.}7,],[,,-1435],[$G$,34\mathrm{.}5,],[,38\mathrm{.}5,],[$H$,,]]$

Table $1.$