PRIN.OF HIGHWAY ENGINEERING&TRAFFIC ANA.
7th Edition
ISBN: 9781119610526
Author: Mannering
Publisher: WILEY
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Question
Chapter 3, Problem 17P
To determine
The design speed of the curve.
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A 500-m long equal tangent vertical curve has a point of vertical curvature at station 2 + 600 and elevation 450 m. The initial grade is -1% and final grade is +1%
b) determine the highest and the lowest points on this vertical curve by using the K-value.
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
A +3.00% grade intersects a -2.40% at station 46+70.00 and elevation 853.48 ft. A 400.00 ft curve will be used to connect the two grades. Compute Station and elevation for the curve's endpoints.
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
- A vertical curve connects a -3% grade with a 4% grade. The point of the vertical curve is at station 34+70 and the point of vertical intersection at station 38+20. What is the offset at the low point of the curve (in feet)?arrow_forwardAn equal-tangent sag vertical curve is designed with the PVC at station 109 + 00 and elevation 950 ft, the PVI at station 110 + 77 and elevation 947.34 ft, and the low point at station 110 + 50. Determine the design speed of the curve.arrow_forward4. An equal tangent (sag) vertical curve connects an initial grade of -3% and a final grade of +1% and is designed for 60 mph. The PVI is at station 250+50 and elevation 732 ft. What is the station and elevation of the lowest point on the curve?arrow_forward
- 1. (Crest Vertical Curve) A vertical curve is designed for 55 mi/h and has an initial grade of +2.5% and a final grade of -1.0%. The PVT is at station 114 + 25. It is known that a point on the curve at station 112 + 75 is at elevation 240 ft. What is the stationing and elevation of the PVC? What is the stationing and elevation of the high point on the curve?arrow_forwardA vertical curve is to be designed. The PVI station and elevation are 360+10 and 625 ft respectively. The curve is 650 ft long curve. The initial and final grades are -3% and +2.5%? (a) Calculate the station and elevations at PVC and PVT (b) Find the station and elevation at the lowest point on the curve (c) Calculate the station and elevation at the curve's midpointarrow_forwardAn equal-tangent crest vertical curve is designed for 70 mi/h. The high point is at elevation 1011.4 ft. The initial grade is +2% and the final grade is -1%. What is the elevation of the PVT?arrow_forward
- You are designing a vertical sag curve joining a -3% grade to a + 2% grade. The design speed is 60 mph. For the design of the curve, the stopping sight distance is based on a 0% grade. 1. Is the shape of the vertical curve circular, elliptic, or parabolic?arrow_forwardA 800-ft equal-tangent sag vertical curve connects tangents that intersect at elevation 650 ft. The curve starts at station 20+30. The initial grade is -3.5% and the final grade is +2%. Determine the elevation of the middle point of the curve.arrow_forwardAn equal-tangent vertical curve connects an initial grade of -4% and a final gradeof +1% and is designed for 60 mile/hour. The PVI is at station 250+50 and elevation of 732 ft. What is thestation and elevation of the lowest point on the curve?arrow_forward
- 1. An equal-tangent crest vertical curve is being designed for a speed of 45 mph. The curve connects grades of 1.3% and -2.4% in the direction of interest. The curve high point is at station 110+30 and has an elevation of 930 ft. What is the station and elevation of the PVC and the PVI? [Answer: PVI station: 110+50.3; PVI elevation: 930.6']arrow_forwardA crest vertical curve (equal tangent) has PVI at station 210+00 and elevation 420.75 ft. The initial grade is 2.5% and the final grade is -4%. The length of the curve is 950 ft. Determine the following, 1. Stationing of the high point, PVC, and PVT. 2. Elevation at station 212+00, PVC, high point, and PVT.arrow_forwardAn equal-tangent crest 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/h design speed? 'arrow_forward
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