Question

You are being asked to obtain the length of a vertical curve for the following situation: The location having the vertical curve is aligned under a crossroads at station 199 + 20. The bottom elevation was measured as 158 m above sea level. The PI station is located at 200 + 00 with road centerline elevation of 150 m. The vertical curve is located at the intersection of the tangents with grades -2.5% and 1.5%. The clear distance between the road surface and the overhead structure should be 5.75m. If we know that in five years the road surface will be overlaid with a 100 mm asphalt concrete pavement layer, what should be the length of the curve to allow sufficient clearance now and after five years of service.

Answer #1

A vertical curve has an incoming grade of +4.4% and an exit
grade of -2.2%. The length of the curve is 450.00 ft. The
intersection of the grades is at 10+00 and the elevation at that
point is 440.00.
Compute the elevation of the +00 points on the curve. Then
determine the location and elevation of the highest point on the
curve. If there is an existing bridge at this location over the
proposed road, and the elevation of its...

The PVI of a vertical curve is at station 110 + 00 and elevation
1100.00 ft. The vertical curve is equal tangent, 600ft long, and
connects an initial grade of +1.30% and a final grade of –1.10%.
The vertical curve crosses a 3ft diameter pipe at right angles. The
pipe is located at station 112 + 00 and its centerline is at
elevation 1093.00 ft.
a) Using offsets, determine the depth, below the surface of the
curve, to the top...

A vertical summit parabolic curve has vertical offset of 0.375
m. from the curve to the grade tangent at Station 10 + 050. The
curve has a slope of +4% and -2% grades intersecting at the P.I.
The offset distance of the curve at P.I. is equal to 1.5m. If the
stationing of the P.C. is at 10 + 000.
Compute the
(a) required length of curve (b) horizontal distance of the
vertical curve turning point from the point of...

An unequal tangent vertical curve has the following elements:
g1=-3.25%, g2=1.75%, total length = 500.00’, length of curve 1 is
150’, length of curve 2 is 350’, PVI station is 12+00, PVI
elevation is 275.00’
Using the vertical curve, what is the station and elevation of
the high/low point of the curve?

A vertical curve is needed to connect an entry grade of ‐2.4% to
an exit grade of +1.5%. The PVI of the two grades is at station 33
+ 75 and elevation of 540 m above the datum level. The elevation at
station 34 + 40 must be 541 m above the datum level in order to
Accommodate a street, which crosses the road. Determine; (
According to TRH17)
i. The length of the curve. ii. The elevation and station...

An unequal tangent vertical curve has the following elements:
g1=-3.25%, g2=75%, total length = 500.00’, length of curve 1 is
150’, length of curve 2 is 350’, PVI station is 12+00, PVI
elevation is 275.00’ What is the elevation of the PCC?
276.98’
277.63’
285.63’
265.12’

Determine the minimum length of a vertical curve necessary for
it to be adequate, under the visibility criteria for braking, for a
design speed of 80 mph. The slopes corresponding to the PVC and PVT
of the curve in question are 4% and -3% respectively. the PVI
station is 120 + 70 and its elevation is 810 meters. The
coefficient of lateral friction is 0.08. All circular curves in the
segment under study have been designed using an 8% superelevation...

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