PRIN.OF HIGHWAY ENGINEERING&TRAFFIC ANA.
7th Edition
ISBN: 9781119610526
Author: Mannering
Publisher: WILEY
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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.
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.
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
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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- 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_forwardAn 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_forwardAn 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_forward
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