Principles of Highway Engineering and Traffic Analysi (NEW!!)
6th Edition
ISBN: 9781119305026
Author: Fred L. Mannering, Scott S. Washburn
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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A new highway is designed to join a crest curve with +1.0%
and -0.5% grades for PVC and PVT, respectively. Knowing
that the stations of PVC and PVI are STA 51+25 and STA
56+90, examine whether or not the curve is long enough to
provide passing sight distance when the design speed is
60mi/h.
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?
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
Chapter 3 Solutions
Principles of Highway Engineering and Traffic Analysi (NEW!!)
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
Ch. 3 - Prob. 11PCh. 3 - Prob. 12PCh. 3 - Prob. 13PCh. 3 - Prob. 14PCh. 3 - Prob. 15PCh. 3 - Prob. 16PCh. 3 - Prob. 17PCh. 3 - Prob. 18PCh. 3 - Prob. 19PCh. 3 - Prob. 20PCh. 3 - Prob. 21PCh. 3 - Prob. 22PCh. 3 - Prob. 23PCh. 3 - Prob. 24PCh. 3 - Prob. 25PCh. 3 - Prob. 26PCh. 3 - Prob. 27PCh. 3 - Prob. 28PCh. 3 - Prob. 29PCh. 3 - Prob. 30PCh. 3 - Prob. 31PCh. 3 - Prob. 32PCh. 3 - Prob. 33PCh. 3 - Prob. 34PCh. 3 - Prob. 35PCh. 3 - Prob. 36PCh. 3 - Prob. 37PCh. 3 - Prob. 38PCh. 3 - Prob. 39PCh. 3 - Prob. 40PCh. 3 - Prob. 41PCh. 3 - Prob. 42PCh. 3 - Prob. 43PCh. 3 - Prob. 44PCh. 3 - Prob. 45PCh. 3 - Prob. 46PCh. 3 - Prob. 47PCh. 3 - Prob. 48PCh. 3 - Prob. 49PCh. 3 - Prob. 50PCh. 3 - Prob. 51PCh. 3 - Prob. 52PCh. 3 - Prob. 53PCh. 3 - Prob. 54PCh. 3 - Prob. 55PCh. 3 - Prob. 56PCh. 3 - Prob. 57PCh. 3 - Prob. 58PCh. 3 - Prob. 59PCh. 3 - Prob. 60PCh. 3 - Prob. 61PCh. 3 - Prob. 62PCh. 3 - Prob. 63PCh. 3 - Prob. 64PCh. 3 - Prob. 65PCh. 3 - Prob. 66PCh. 3 - Prob. 67P
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- A +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_forwardQ 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.arrow_forward1. 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_forward
- An 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? Include a sketch of the curvearrow_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
- Answer question 6arrow_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_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_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? Please do all calculations in feet so I can check my answer. Include a sketch of the curvearrow_forwardA two-lane highway is being expanded to four lanes with the original highway consisting of the northbound lanes and the new highway carrying the southbound lanes. At one location, the southbound facility crosses over an existing pipeline. The resulting vertical curve needs to be at least 10 feet above the top of the pipeline. The initial grade is -4 and G2 is +2. The design speed for the new highway is 60 mi/hr. (1) Is the length of the design curve greater or less than the required stopping distance? (2) The PVI is at station 425+74 and the elevation is 980 ft. If the pipeline is at station 424+54 and the elevation of the top of the pipeline is 985 ft, is the distance from the curve to the top of pipeline adequate to meet the 10 feet required cover? I recommend drawing the cross-section of the curve including the location of the pipeline when answering this question. Note that instead of clearance from the curve up to the the bottom of the overpass (example in the book), this is…arrow_forwardc. The length of the first curve in yard if the total length of the roadway is 745 m given that the second curve has a design speed of 70 kph for passing sight distance with the driver's eye height assumed to be 1.5 mand object height of 0.33 m d. The total length of the roadway in km if a bridge structure were to be located within the first curve, with a required clearance height of 6.25 m, then assuming a driver's eye height of 3.4 m and an object height of 0.31 m if the design speed is 130 kpharrow_forward
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