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 35P
To determine
The length of the curve and constant grade section for the design of vertical alignment to connect between given two stations.
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A tangent section of highway has a -1.0% grade and ends at station 4+75 and elevation 82 ft. It must be connected to another section of highway that has a -1% grade and that begins at station 44+12 and elevation 131.2 ft. The connecting alignment should consist of a sag curve, and be designed for a speed of 50 mi/h. What is the lowest grade possible for the constant-grade section that will complete this alignment?
A vertical curve joins a -2.0% grade to a +0.5% grade. The P.I. of the vertical curve is at station 100+00 and elevation 69.50 m above sea level. The centerline of the roadway must clear an overhead structure located at station 99+20 by 5.67 m. The elevation at the bottom of the structure is 77.45 m above sea level. What is the maximum length of vertical curve that can be used
An equal tangent vertical curve is to be constructed between grades of -2.0% (initial) and 1.0% (final). The PVI is at station 11 + 000.000 and at elevation 420 m. Due to a street crossing the roadway, the elevation of the roadway at station 11 + 071.000 must be at 421.5 m. Design the curve.
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 vertical parabolic happy curve underpass has a grade of -4% followed by a grade of 2% intersecting at Sta. 12+150.60 at elevation of 124.80 m above sea level. The change of grade of the sag curve is restricted to 0.6%. a. Compute the length of curve.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_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
- An equal-tangent curve connects a +1.0% and a -0.5% grade. The PVC is at station 54+24 and the PVI is at station 56+92. Is this curve long enough to provide passing sight distance for a 60-mi/r design speed? 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.)arrow_forwardA plus 5.0 percent grade intersects a minus 3.0 percent grade at station 4 + 10 and at an elevation of 460.60 ft. Given that a PVC station 3+00 is utilized. Determine the length of curve, PVT station, EPVC and EPVT?arrow_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_forward
- A highway curve will pass through a railway and grade. The crossing must be at station 4 + 310 and at elevation 220 3.38 m. the initial grade is + 2% and meets a -3% grade at station 4 + 235 at an elevation of 223.38 m. the rate of change must not exceed at 2%. Compute the length of curve, station and elevation of highest point also check if the condition of rate of change is meet.arrow_forwardA crest vertical curve joining a + 3 percent and – 4 percent grade is to be designed for 75 mph. If the tangent intersect at station (345 + 6000) at an elevation of 250 ft, determine the stations and elevations of the PVC and PVT.arrow_forwardA +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 PVCarrow_forward
- A 4.5% grade intersects a -1% grade at STA 5+180 at an elevation of 195m. A vertical curve of length 120m is to be run forward from the point of intersection, and a curve of length 80m is to be extended back forming an unsymmetrical curve. Determine the elevation (m) of the summit.arrow_forwardThe length of a sag vertical curve is 415 m with tangent grade if -2% and +4% intersecting at a point whose stationing is at 160+00 and elevation of 55 m above sea level. A pipe is to be positioned along the curve for drainage. The roadway at this point consists of two 3.6 m lanes with a normal crown slope of 2%. If surface of the roadway must clear the pipe by 0.75 m, what is the maximum elevation of the top of the pipe?arrow_forwardA vertical curve's PVI has a station of 25+00 and an elevation of 192.36'. The incoming grade is -2.0% and the outgoing grade is 3.5%. An overpass is located at station 27+00. The elevation of the bottom of the s is 220.08. If the required clearance is under the overpass is 15.5 feet. Find the length of curve that would pass under at the point providing the minimum clearance. Then provide the station and elevation of the PVC and PVT. Provide a sketch of the situation.arrow_forward
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