Problem $1$: $(70$pts$.)$

SITUATION:

A section of urban expressway is being designed to include a bridge section over an existing railroad yard.

The highway is to be constructed on a $4^0$ horizontal curve which curves to the right and the pavement cross$-$

section will be superelevated at a rate of $0\mathrm{.}06$ foot$/$foot throughout the curve.

The highway is also on a symmetrical vertical curve which begins at station $110+00\mathrm{.}00$ and ends at station

$122+00\mathrm{.}00.$ The PVI is located at station $116+00\mathrm{.}00$ and at elevation of $1264\mathrm{.}00$ feet. The tangent grades

are $+2\mathrm{.}0\%$ before the PVI and $-3\mathrm{.}0\%$ after the PVI.

The bridge abutments are supported by spread footings and the bridge is supported by seven $(7)$ pile bents

spaced at $50$ feet intervals from station $115+50$ to station $117+00.$ The piles are spaced symmetrically

about the highway centerline at $10$ feet intervals within each bent.

The tops of the pile supports are $3\mathrm{.}5$ feet below the highway pavement.

REQUIRED

A sketch $($plan view$)$ of the four $(4)$ spread footings spaced at $50$ foot intervals, illustrating in each

footing the seven $(7)-$pile bents. $(5$pts$.)$

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 cross section at station $115+50,$ which is on the bridge. $(10$pts$.)$

Hint #$1$: The cross section shall show the centerline of the bridge, the seven $(7)$ pile cutoff

elevations, and the difference in elevation between the bridge deck surface and the pile cutoff

elevation.

Hint #$2$: Please remember that the superelevation is $0\mathrm{.}06$ foot$/$foot and there is $4$ horizontal

curve turning to the right.

Note: All required sketches are not to scale.