Principles Of Highway Engineering And Traffic Analysis
7th Edition
ISBN: 9781119493969
Author: Mannering, Fred L., WASHBURN, Scott S.
Publisher: Wiley,
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Question
Chapter 3, Problem 25P
To determine
The minimum clearance height of the overpass and the resultant elevation of the bottom of the overpass over the PVI.
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Problem 2
An overpass is being built over the PVI of an existing equal-tangent curve. The curve has a 70-
mi/h design speed and G1 = -5%, G2= +3%. Determine the minimum necessary clearance height
of the overpass and the resultant elevation of the bottom of the overpass over the PVI. (Ignore the
cross-sectional width of the overpass.)
Problem 3
A +4.0% grade intersects a -3.0% percent grade at PVI Sta. 222+00 and Elevation 300.00 on a
two-lane highway with a design speed of 45 mph. Assume AASHTO Standards.
1. Determine the minimum length for the curve that is designed to meet passing sight
distance using K-value method
2. Determine the Station and Elevation of the PVC
Q 1: Determine the minimum
length of a highway sag curve
(based on SSD Criterion) that
is designed to join a - 0.035
grade to a + O.025 grade, if
the design speed is 90 km/h.
Assume a = 3.4 m/s2, t = 2.5 s.
Chapter 3 Solutions
Principles Of Highway Engineering And Traffic Analysis
Ch. 3 - Prob. 1PCh. 3 - Prob. 2PCh. 3 - Prob. 3PCh. 3 - Prob. 4PCh. 3 - Prob. 5PCh. 3 - Prob. 6PCh. 3 - Prob. 7PCh. 3 - Prob. 8PCh. 3 - Prob. 9PCh. 3 - Prob. 10P
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- 1. A crest vertical curve connects a +1.5 % grade with a -2.5 % grade on a two-lane highway. The criterion selected for design is the minimum stopping sight distance for a design speed of 90 km/h based on AASHTO (2004) design criteria. If the grades intersect at station (14+465) at an elevation of 100 m, compute the station and elevation of BVC, EVC, and highest point. Also, compute the elevation of the curve at 50-m intervals. Display all results in a tabular form.arrow_forwardA +4.0% grade intersects a -3.0% percent grade at PVI Sta. 222+00 and two-lane highway with a design speed of 45 mph. Assume AASHTO Standards. 1. Determine the minimum length for the curve that is designed to meet passing sight distance using K-value method 2. Determine the Station and Elevation of the PVC Duoblem 1arrow_forward-Determine the minimum length of a highway sag curve (based on SSD Criterion) that is designed to join a - 0.035 grade to a + 0.025 grade, if the design speed is 90 km/h. Assume a = 3.4 m/s2, t = 2.5 s. Untitled Questionarrow_forward
- A sag curve is being built under an existing overpass. The point of vertical intersection (PVI) of the proposed curve is at elevation 312 ft and the bottom of the overpass is at elevation 329 ft. The curve is being designed to match a -2.3% grade to a 2.5% grade at a design speed of 40 mph. If the curve is positioned to give maximum clearance to the overpass, will it provide at least 15 ft of clearance? Include a sketch of the curvearrow_forwardAn underpass, designed to be a vertical sag curve, is to be constructed parallel to an existing horizontal road with an elevation of 120 m such that the lowest point of the curve is directly below the center-line of the road with a clearance of 5.5 m. If the vertical curve has grades of -4% and +3% and PI is at an elevation of 105 m, determine the required length of the curve.arrow_forwardA sag curve is being built under an existing overpass. The point of vertical intersection (PVI) of the proposed curve is at elevation 312 ft and the bottom of the overpass is at elevation 329 ft. The curve is being designed to match a -2.3% grade to a 2.5% grade at a design speed of 40 mph. If the curve is positioned to give maximum clearance to the overpass, will it provide at least 15 ft of clearance? Please do all calculations in feet so I can check my answer. Include a sketch of the curvearrow_forward
- 2. (Sag Vertical Curve) An existing highway-railway at-grade crossing is being redesigned as grade separated to improve traffic operations. The railway must remain at the same elevation. The highway is being reconstructed to travel under the railway. The underpass will be a sag curve that has an initial grade of -2% and a final grade of 2%. The PVI of the sag curve will be centered under the railway (a symmetrical alignment). The sag curve design speed is 45 mi/h. How many feet below the railway should the curve PVI be located?arrow_forwardEXAMPLE A -2% grade meets a +8% gradę near an underpass. In order to maintain the minimum clearance allowed under the bridge and at the same time introduce a vertical transition curve in the grade line, it is necessary to use a curve that lies 400-m on one side of the vertex of the straight grade and 240-m on the other. The station of the beginning of the curve (400-m side) is 10+0oo and its elevation is 200-m. Determine the stationing of the lowest point in the curve а. b. Determine the elevation at station 10+080. С. Determine the elevation of PVT. d. If the uphill edge of the underside of the bridge is at station 10+440 and at elevation 203.41-m, what is the vertical clearance under the bridge at this point?arrow_forwardAn existing roadway has a crest vertical curve with a PVC at station 94+12.00 at elevation 480.00 and a PVT at station 99+42.00 at elevation 482.50. The incoming grade (at the PVC) is +4.29%. Determine the station and elevation of the PVI and the station and elevation of the high point.arrow_forward
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