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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Chapter 3, Problem 48P
To determine
The radius of the curve and the stationing of
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Find the minimum distance between the points of intersections (PI to PI) for two reversing horizontal curves, R = 6010 ft for both curves, on a 6-lane (total) Freeway with 80 mph design speed. The axis of rotation is about the centerline. The first curve has a delta of 36°and the second curve has a delta of 28° degrees.
Note: distance from axes of rotation to the outside edge of lane = 46 ft
Q3: A horizontal curve is to be designed for a two-lane road in mountainous terrain.The following data are known: Intersection angle: 30 degrees, tangent length = 150 m,station of PI: 2+750.000, fs = 0.10, e = 0.08.
An equal-tangent crest vertical curve is designed with a PVI at station 110 + 00 (elevation 927.2 ft) and a PVC at station 107 + 43.3 (elevation 921.55 ft). If the high point is at station 110 + 75.5, what is the design speed of the curve?
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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- Find the minimum distance between the points of intersections (PI to PI) for two reversing horizontal curves, R = 6010 ft for both curves, on a 6-lane (total) Freeway with 80 mph design speed. The axis of rotation is about the centerline. The first curve has a delta of 36°and the second curve has a delta of 28° degrees. Note: distance from axes of rotation to the outside edge of lane = 46 ft (must show the calculations)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_forwardA vertical parabolic curve has a back tangent of -5% and a forward tangent of +3% intersecting at station 1 + 240 at an elevation of 100.00 m. If the stationing of P.C. is at 1 + 120. Evaluate the stationing of the lowest point in the curve. Evaluate the elevation of the lowest point in the curve. Evaluate the rate of change of grade of the sag curve per 20 m length.arrow_forward
- Compute the ruling minimum radius of horizontal curve for a design speed of 80 kph,f=0.18 and e = 0.078. For ruling minimum radius, increase the design speed by 16 kph.arrow_forwardA horizontal curve on a two-lane highway is designed with a 610-m radius, 3.5-m lanes, and 80 kph design speed. Determine the distance that must be cleared from the inside edge of the inner lane to provide sufficient stopping sight distance. (Note: Curve radius is typically reckoned from the centerline of the roadway, and driver location is assumed to be at the middle of the travelled lane.) Assume coefficient of friction as 0.35. ANSWER M =4.0 ?arrow_forwardA 3.5˚ curve is to be designed on a highway with a design speed of 60 mi/h. Spiral transition curves are to be used. Determine the length of the spiral and the appropriate stations for the T.S., S.C., and S.T. The angle of deflection for the original tangents is 40˚, and the P.I. is at station 15,100+26. The segment consists of two 12-ft lanes.arrow_forward
- Determine the minimum length of a vertical curve between a +1.48% grade and a +6.2% grade for a road with a 100 km/h design speed. The vehicle approaches the curve from the side of +1.48% grade. The vertical curve must provide the sufficient stopping sight distance and meet the appearance criteria. For stopping sight distance the both vehicle and object are located within the vertical curve. Consider a new road with a single carriageway in each direction, Rt=2.0s, d=0.36, h1=1.1m, h2=0.2m, height of headlight,h = 0.65m and q=1 degree.arrow_forward1. 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 2. The driver of a car traveling at 65 mph saw an obstruction ahead. If the reaction distance is 72.2 m, compute the reaction time.arrow_forwardA vertical parbolic curve was design in order to have a clear sight distance of 120 m . The grade lines intersect at Sta 9+000 at elev 160.50 . The curve was design such that when the height of the drivers eye is 1.50 m above the payment it would just see an object whose height is 0.10 m above the pavement . Determine the max speed that a car could travel grade of 5% and a downgrade of -3%.arrow_forward
- A simple horizontal curve has 35 degrees of curvature and subtends an angle of 110 degrees. If the PC is at station 3 + 65.00 ft, what is the length (ft) of roadway to the first full station on the curve? The first full station occurs at 4+00arrow_forwardA horizontal curve is being designed through mountainous terrain for a four-lane road with lanes that are 12 ft wide. The central angle (Δ) is known to be = 24o30’ 15”, the tangent distance is 600 ft, and the stationing of the tangent intersection (PI) is 700+00. Under specified conditions and vehicle speed, the roadway surface is determined to have a coefficient of side friction of 0.08, and the curve’s superelevation is 0.06 ft/ft. What is the stationing of PC and PT and what is the safe vehicle speed?arrow_forwardA sag curve connects a -1.5 percent grade with a +2.5 percent grade on a rural arterial highway. The criterion selected for design is the minimum stopping sight distance, and the design speed of the highway is 70 mph. Assume the perception-reaction time of 2.5 seconds and a deceleration rate of 11.2 ft./sec^2. a. Determine the length of the curve. b. Compute the elevation of the curve at PVC and PVT if the grades intersect at station (475 + 00) at an elevation of 300 ft.arrow_forward
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