PRIN.OF HIGHWAY ENGINEERING&TRAFFIC ANA.
7th Edition
ISBN: 9781119610526
Author: Mannering
Publisher: WILEY
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Chapter 3, Problem 39P
To determine
The stations and elevations of the
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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.
Highway Engineering:
You are designing a highway to AASHTO guidelines on rolling terrain where the design speed will be 65 mi/h. At one section, a +1.25% grade and a -2.25% grade must be connected with an equal-tangent vertical curve. Determine the SSD given the reaction time of 2.5 sec and deceleration of 3.4 m/s^2. Determine also the minimum length of curve.
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
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Chapter 3 Solutions
PRIN.OF HIGHWAY ENGINEERING&TRAFFIC ANA.
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
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- A +2.5% grade intersects with a –1.5% grade at station (53+524.25) at an elevation of 90 m. If the design speed is 90 km/h, use AASHTO (2011) criteria to determine: The minimum length of vertical curve using the rate of vertical curvature. The stations and elevations of the BVC and EVC. The elevation of each 20-m station. The station and elevation of the highpoint.arrow_forwardA-1.7% grade intersects a 3.6% grade on a highway with a design speed of 55 mph. What is the length of the curve in ft required? (Assume provisions are to be made for minimum stopping sight distance).arrow_forwardA 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_forward
- 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.arrow_forwardA roadway has a design speed of 50 mi/h, and at station 105 + 00 a +3.0% grade roadway ection 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_forwardA horizontal curve is being designed for a new four-lane roadway with 11-ft lanes. The PT is located at station 1050+20, the design speed is 45 mph and maximum superelevation of 4%. If the central angle of the curve is 30 degrees, what is the radius of the curve and location of the PC and PI?arrow_forward
- A 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 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_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
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