A vertical curve is to be designed to connect a -4% grade to a +1% grade on a facility with a design speed of 70 mi/h. For economic reasons, a minimum-length curve will be provided. A driver-reaction time of 2.5 seconds may be used in sight distance determinations. The V.P.I. of the curve is at station 5,100 + 22 and has an elevation of 1,285 ft. find the station and elevation of the V.P.C. and V.P.T., the high point of the curve, and at 100-ft intervals along the curve.

A vertical curve is to be designed to connect a -4% grade to a +1% grade on a facility with a design speed of 70 mi/h. For economic reasons, a minimum-length curve will be provided. A driver-reaction time of 2.5 seconds may be used in sight distance determinations. The V.P.I. of the curve is at station 5,100 + 22 and has an elevation of 1,285 ft. find the station and elevation of the V.P.C. and V.P.T., the high point of the curve, and at 100-ft intervals along the curve.

Traffic and Highway Engineering

5th Edition

ISBN:9781305156241

Author:Garber, Nicholas J.

Publisher:Garber, Nicholas J.

Chapter15: Geometric Design Of Highway Facilities

Section: Chapter Questions

Problem 8P

See similar textbooks

Similar questions

Design a vertical curve (i.e., Determine length of the curve as well as station and elevation of the vertical curve's PVC and PVT) with the given PVI (station and elevation given the figure below) to go through a future intersection location at the point at which the vertical curve is flat. Report the vertical curve's design speed to the nearest 5 miles per hour. PVC Future Intersection Station = 100+00 G1 = -2.6% PVT PVI G2 = 1.0% Station = 99+00 Elevation = 228 ft %3|
A vertical curve is going to be designed to join a 0% grade with a +5% grade at a section of a highway. The station and elevation of the PVC point are 5+00 and 12 ft, respectively. Assuming AASHTO design standard values for perception-reaction time, deceleration rate for braking, and driver’s eye and object heights, determine the following: 1. The min length of the curve if the design speed is 65 mi/h. 2. The station and elevation of the PVT. 3. The station and elevation of the high or low point. 4. The elevation of the point at station 6+50.
Two roads with grades of +4.5% and -3% meet at station 15 + 100 at an elevation of 72.344 m. If the required rate of change of grade for the parabolic curve to be fitted between those two roads is 0.4% per 20 m stations, determine the following: a. The required length of the curve b. Stationing and elevation at PC and PT c. Location and elevation of the apex of the curve d. Elevation at a point Q that has a distance of 15 m from PI
Design a vertical curve (i.e., Determine length of the curve as well as station and elevation of the vertical curve’s PVC and PVT) with the given PVI (station and elevation given the figure below) to go through a future intersection location at the point at which the vertical curve is flat. Report the vertical curve’s design speed to the nearest 5 miles per hour.
A downgrade of 2% intersects an upgrade of 4% at an elevation of 200 feet at station 55+15.00, where a 300 feet curve will be fitted. Calculate a) middle ordinate in feet b) station and elevation of the BVC c) station and elevation of the EVC d) station and elevation of the low point. Provide a sketch of the curve.
A horizontal curve is being designed to connect two tangents that intersect on a rural collector road with a specified design volume of 2500 veh/day (i.c. design speed 60 mph). It is expected that, because of right-of-way restriction, a large billboard will be placed at a distance of 50 ft from the centerline of the inside lane. If the terrain can be described as level and only a minimal amount of snow is expected on the road, determine the minimum radius of curve. Assume maximum superelevation rate (e) of 0.1 and fs=0.12. Ans: 1090 ft
Example: A grade g1 of -2% intersects g2 of +1.6% at a vertex whose station and elevation are 87+00 and 743.24, respectively. A 400' vertical curve is to be extended back from the vertex, and a 600’ vertical curve forward to closely fit ground conditions. Compute and tabulate the curve for stakeout at full stations.
The angle between a 5-m full station of a certain curve is 10°. The curve has 7 intermediate stations between P.C. (10 + 300m) and P.T. After laying out the curve, it was found out that the P.T. falls in a property lot and it should be moved in a way that the P.T. will be free from crossing the lot. Compute all the necessary elements of the old curve and new relocated curve.
Determine the stationing for the following points: ENC, LC, PC, BFS, EFS, PT, LC, and ENC in a row given a horizontal curve with 37° intersecting angle on a two-lane highway with 12-ft lanes and a 55-mph design speed with a designated maximum superelevation of 6%. The radius for the horizontal curve has been set to 1060-ft. The Pl is located at station 152+03.44 and the highway has a constant 2.1% normal crown. Locate each point with its stationing on the drawing below. PI = 152+03.44 Not to scale
Calculate the a. radius, b. length, c. horizonal sightline offset (HSO), and d. locations of the initial point of horizontal curve (PC) and the final point of horizonal curve (PT) for the curve described: A horizontal curve needs to connect two tangents meeting on level grade at a 40 degree angle at station 27+10. The design speed is 50 mph and the superelevation should be 0.03.
A simple horizontal curve has 35 degrees of curvature and subtends an angle of 110 degrees. If the PC is at station 3 + 65.00 ft, what is the length (ft) of roadway between the first full station and the second full station on the curve? Response Feedback: The first full station occurs at 4+00 and the next full station occurs at 5+00
A simple horizontal curve has 35 degrees of curvature and subtends an angle of 110 degrees. If the PC is at station 3 + 65.00 ft, what is the intermediate chord length (ft) (i.e. the straight line distance between two sequential full stations)?