PRIN.OF HIGHWAY ENGINEERING&TRAFFIC ANA.
7th Edition
ISBN: 9781119610526
Author: Mannering
Publisher: WILEY
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Chapter 3, Problem 57P
To determine
The length of the horizontal curve.
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A section of highway has vertical and horizontal curves with the same design speed. A vertical curve on this highway connects a +1% and a +3% grade and is 420 ft long. If a horizontal curve on this highway is on a two-lane section with 12-ft lanes and has a central angle of 37 degrees and a superelevation of 6%, what is the length of the horizontal curve?
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.
A sag vertical curve will connect a -1% grade to a 3% grade with a design speed of 50 mph. Using the three criteria (i.e., not K factors), what is the minimum length of the curve?
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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- Engineers group have been decided to design a highway with vertical curve in order to transfer the traffic volume through it, with a (1.90) percent grade meting (- 3.90) percent grade. The vertical curve length (984.00) ft. (Use fSkidding= 0.35, t = 2.5 sec.), sight distance you :recommended is 677 ft. 505 m. O 605 ft. O 650 ft. O 600 ft. Oarrow_forwardWest and east highway segments are separated by 1000 ft horizontally. The west segment has a 0% constant grade, and the east segment has a –1% grade. The east segment has a higher elevation than the west segment, and the two segments are connected by a joining sag and crest curve combination (so PVTs = PVCc). If the road is designed for 60 mi/h, what is the elevation difference between the west and east highway segments?arrow_forwardQ 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_forward
- QUESTION 1 West and east highway segments are separated by 2000 ft horizontally. The west segment has a +2.50% grade and the east segment has a +1.60% grade. The west-grade segment ends at a higher elevation than the east segment and the two segments are connected by a joining sag and crest curve combination (so PVT_c = PVC_s). If the road is designed for 65 mi/h, what is the elevation difference between the west and east highway segments? State your answer in ft in the form 0.00.arrow_forwardA 2-lane (12 ft wide lanes) with a horizontal and a crest vertical curve is reportedly designed for 35 mph. Both curves begin at point A and end at point B. Given the data below, is this section of roadway adequately designed for 35 mph? Show appropriate calculations to support your conclusion. Horizontal Curve Data Curve length - 390 ft • 60° angle as shown 4% superelevation M,- 25 ft (perpendicular distance from centerline of inside Vertical Curve Data Curve length - 390n G = 6% • G-3.5% lane to nearest obstruction) 60° Plan View Profile Viewarrow_forwardA highway engineer must stake a symmetrical vertical curve where an entering grade of +0.80% meets an existing grade of -0.40% at station 10 + 100 which has an elevation of 140.36 m. If the maximum allowable change in grade per 20 m station is -0.20%, what is the length of the vertical curve? Discuss, how you derive your answer on the question above.arrow_forward
- A horizontal curve is to be designed for a section of a highway having a design speed of 60 mi/h. (a) If the physical conditions restrict the radius of the curve to 500 ft, what value is required for the superelevation at this curve?(b) Is this a good design?arrow_forwardPROBLEM 7 A +2 percent grade on an arterial highway intersects with a -1 percent grade at station 535 + 24.25 at an elevation of 300 ft. If the design speed of the highway is 65 mi/h, determine the stations and elevations of the initial point of vertical curve (PVC), the final point of vertical curve (PVT), the high point, and the elevation of each 100-ft station.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-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_forward1. 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.arrow_forwardProblem 5 An existing horizontal curve on a highway has a radius of 465 ft, which restricts the posted speed limit to only 61.5% of the design speed on this section of the highway. If the curve is to be improved, so that its posted speed will be the design speed of the highway, determine the minimum radius of the new curve. Assume that the rate of superelevation is 0.08 for both the existing curve and the new curve to be designed and f,=0.16 for 40 mph, 0.14 for 50 mph, 0.12 for 60 mph, and 0.10 for 70 mph.arrow_forward
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