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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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.
Combined Crest and Sag Vertical Curve
(based on SD criteria)
A section of a freeway ramp has a +4.0% grade and ends at station 127 + 00 and
elevation 138 ft. It must be connected to another section of the ramp (which has a 0.0%
grade) that is at station 162 +00 and elevation 97 ft. It is determined that the crest and sag
curves required to connect the ramp should be connected (the PVT of the crest and PVC
of the sag) with a constant-grade section that has the lowest grade possible. Design a
vertical alignment to connect between these two stations using a 50-mi/h design speed.
Provide the lengths of the curves and constant-grade section.
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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Similar questions
- An 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_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_forward
- An equal-tangent sag vertical curve on a section of a highway connects an initial grade of -2% and a final grade of +3.5% at station 25+00 and elevation 237 ft. The curve crosses an overpass at station 23+00. The base of the overpass structure is at elevation 259.4 ft and is 14 ft above the pavement surface of the highway. L Overpass Sta 23+00 El 259.4' EVC BVC 14' G1 =-2% G2 =-3.5% PVI Sta 25+00 El. 237' a) Determine the length of the vertical curve. b) Determine the design speed used to design the vertical curve. The length of the vertical curve longer than the stopping sight distance.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_forwardA 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 usedarrow_forward
- An equal-tangent sag vertical curve on a section of a highway connects an initial grade of -2% and a final grade of +3.5% at station 25+00 and elevation 234 ft. The curve crosses an overpass at station 23+00. The base of the overpass structure is at elevation 259.4 ft and is 14 ft above the pavement surface of the highway. L Overpass Sta 23+00 El 259.4' EVC BVC 14' G1 =-2% G2 =-3.5% PVI Sta 25+00 El. 234' a) Determine the elevation on curve at Sta 23+00. b) Determine the length of the vertical curve. b) Determine the design speed used to design the vertical curve. The length of the vertical curve is longer than the stopping sight distance.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 existing equal-tangent sag vertical curve is designed for 60 mi/h. The initial grade is −3% and the elevation of the PVT is 754 ft. The PVC of the curve is at station 134 + 16 and the PVI is at 137 + 32. An overpass is being constructed directly above the PVI. The highway is for cars only (AASHTO minimum and recommended structure clearances do not apply) and the overpass design assumes the driver's eye height is set conservatively to 5 ft and the object height is 2 ft. What is the lowest possible elevation of the bottom of the overpass structure to ensure sufficient stopping sight distance at 60 mi/h? (Use Table 3.3 to determine K-value)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 roadway has a design speed of 50 mi/h, and at station 105 + 00 a +3.0% grade roadway section ends and at station 125 + 00 a +2.0% grade roadway section begins. The +3.0% grade section of highway (at station 105 + 00) is at a higher elevation than the +2.0% grade section of highway (at station 125 + 00). If a -4%constant-grade section is used to connect the crest and sag vertical curves that are needed to link the +3.0 and+2.0% grade sections, what is the elevation difference between stations 105 + 00 and 125 + 00? (The entire alignment, crest and sag curves, and constant-grade section must fit between stations 105 + 00 and 125 +00.)arrow_forwardQ6. To help improve the safety of at-grade intersection of two roads, the intersection is being redesigned so that the E-W road will pass underneath the N-S road. Currently the vertical alignment of the E-W road consists of a crest vertical curve joining a 4% upgrade to a 3% downgrade. The existing vertical curve is 138 m long, the PVC of this curve is at station 14+47, and the elevation of the PVC is 477 m. The centerline of the N-S road is at station 15+45. Your job is to find the shortest vertical curve that provides 6.0 m of clearance between the new E-W road and the N-S road.arrow_forward
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