Problem $2$: $(80$pts$.)$

SITUATION: As a highway design engineer you are given the responsibility of designing the horizontal,

vertical alignment and the corresponding superelevation of a two lane secondary rural road in the

Municipality of Mayag$$ez$.$ It was decided that the superelevation will rotate with respect to the centerline

$()$ of the highway. The pertinent data required for this design is shown below:

$V=40mph$

$=25{45}^{\text{'}}RT$

$D=9$

PI at $36+17\mathrm{.}42$

Two$-$lane highway, $24$ ft wide, each lane $12$ ft wide

PVI at $36+00$

Elevation PVI $=450\mathrm{.}00$

$g_1=-1\mathrm{.}5\%$

$g_2=+2\%$

$L=300ft$

Tangent Runout at $400$:$1$

Normal crown at $2\%$

REQUIRED

A sketch of the vertical curve $($sag or crest$)$ with all the pertinent components $($Station and Elevation

of PVC$,$ PVI and PVT$,g_1,g_2,$ with the appropriate sign $($positive or negative grade$),$ length of vertical

curve$).(5$pts$.)$

A sketch of the three $(3)$ profiles with the corresponding elevations at the centerline, inside $($right

edge$)$ and outside $($left edge$)$ of the pavement. $(10$pts$.)$

Hint #$1$: The profiles should start at point A $($the last station at which the normal crown ends$)$

and finish at point $A^{\text{'}}($the station at which the normal crown resumes at the tangent segment$).$

A sketch of the cross sections at point $A,B,C,D,E$ and E $\text{'},$ with the corresponding elevations at the

centerline, inside $($right edge$)$ and outside $($left edge$)$ of the pavement.$(10$pts$.)$