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 16P
To determine
The station and elevation of the curve's high point.
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A descending grade of 6% and an ascending grade of 2% intersect at Sta 12 + 200 km whose elevation is at 14.375 m. The two grades are to be connected by a parabolic curve, 160 m long. Find the elevation of the third quarter point on the curve.
A 1025 ft long vertical curve has a 4% grade on the back tangent and a -2% grade on the forward tangent. The PVC is located at sta 6+10 and has an elvation of 180 ft. At sta 8+31, what is the elevation of the vertical curve?
1. A parabolic curve has an ascending grade of 4% which meets a descending grade of 3% at sta. 1+ 180 whose elevation is at 320 m. Compute the elevation of the PVT(point of vertical tangency) if the length of the curve is 280 m
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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- 25. A parabolic curve has a descending grade of -0.8% which meets an ascending grade of 0.4% at sta. 10 + 020. The max. Allowable change of grade per 20 m. station is 0.15%. Elevation at station 10 + 020 is 240.60 m. Compute the lowest elevation point of the curve.arrow_forwardA vertical parabolic happy curve underpass has a grade of -4% followed by a grade of 2% intersecting at Sta. 12+150.60 at elevation of 124.80 m above sea level. The change of grade of the sag curve is restricted to 0.6%. a. Compute the length of curve.arrow_forwardA vertical parabolic curve is to be used under a grade-separation structure. The curve is 250 m long and the minus grade of 3.8 percent intersects the plus grade of 5.4 percent at station of 0+120.424. Calculate the low point of the curve if the intersection at station 0+120.424 is at elevation 230.085 m.arrow_forward
- A 5.3% grade intersects a -1.9% grade at STA 5+180 at an elevation of 186m. A vertical curve of length 120m is to be run forward from the point of intersection, and a curve of length 80m is to be extended back forming an unsymmetrical curve. Determine the elevation (m) of the curve below PVI.arrow_forwardA 400-ft equal-tangent sag vertical curve has its PVC at station 78+00 and elevation 800 ft. The initial grade is -4% and the final grade is +2.5%. Determine the station of the lowest point of the curve.arrow_forwardA parabolic curve has a descending grade of -0.8% which meets an ascending grade of 0.4% at sta. 10 + 020. The max. Allowable change of grade per 20 m. station is 0.15%. Elevation at station 10 + 020 is 240.60 m. Compute the lowest elevation point of the curve. CORRECT ANSWER: 240.81arrow_forward
- An equal tangent crest curve connects a +2% initial grade with a -1% final grade, and is designed for 55 mi/h. That station of the PVI is 233+40 with elevation 1205 ft. What is the elevation of the curve at station 234+50?arrow_forwardA 750-ft equal-tangent crest vertical curve connects tangents that intersect at elevation 572 ft. The curve starts at station 15+25. The initial grade is +5% and the final grade is -3%. Determine the elevation of the middle point of the curve.arrow_forwardA 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.arrow_forward
- A vertical parabolic happy curve located in Malabon underpass has a grade of -4% followed by a grade of 2% intersecting at Sta. 12+150.60 at elevation of 124.80 m above sea level. The change of grade of the sag curve is restricted to 0.6%. b. Compute the elev. of the lowest point of the curve.arrow_forwardA +3% grade intersects a -2% grade at STA 4+350 meter at an elevation of 190.50 meter. Given that a 250 meter symmetrical parabolic curve is used, find, draw and plot the elevation of the curve at every 20 meter interval starting at STA 4+240 meter including its critical point.arrow_forwardA 532m equal tangent crest vertical curve has PVC at Sta 19+284 and at elevation 181m. The initial grade is 3.02% and the final grade is -4.37%. Determine the elevation (m) of PVI.arrow_forward
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