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 39P
To determine
The stations and elevations of the
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A +2.5% grade intersects with a –1.5% grade at station (53+524.25) at an elevation of 90 m.
If the design speed is 90 km/h, use AASHTO (2011) criteria to determine:
The minimum length of vertical curve using the rate of vertical curvature.
The stations and elevations of the BVC and EVC.
The elevation of each 20-m station.
The station and elevation of the highpoint.
Determine the minimum length of a vertical curve between a -1.78% grade and a -7.8% grade for a road with a 110 km/h design speed. The vehicle approaches the curve from the side of -1.78% 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=2.5s, d=0.29, h1=1.1m, h2=0.2m, height of headlight = 0.65m and q=1 degree.
A highway curve will pass through a railway and grade. The crossing must be at station 4 + 310 and at elevation 220 3.38 m. the initial grade is + 2% and meets a -3% grade at station 4 + 235 at an elevation of 223.38 m. the rate of change must not exceed at 2%. Compute the length of curve, station and elevation of highest point also check if the condition of rate of change is meet.
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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- A roadway has a design speed of 50 mi/h, and at station 105 + 00 a +3.0% grade roadway section ends and at station 125 + 00 a +2.0% grade roadway section begins. The +3.0% grade section of highway (at station 105 + 00) is at a higher elevation than the +2.0% grade section of highway (at station 125 + 00). If a -4%constant-grade section is used to connect the crest and sag vertical curves that are needed to link the +3.0 and+2.0% grade sections, what is the elevation difference between stations 105 + 00 and 125 + 00? (The entire alignment, crest and sag curves, and constant-grade section must fit between stations 105 + 00 and 125 +00.)arrow_forwardA Highway curve will pass through a railway at grade. The crossing must be at Sta. 4+310 and at elevation 220.82 m. the initial grade is +2% and meets a -3% grade at Sta. 4+235 at elevation of 223.38 m. The rate of change must not exceed at 2%. Compute the length of curve, station and elevation of highest point also check if the condition of rate of change if meet. 3 decimal places. ASAAP 30 MINS THANK YOUarrow_forwardDesign a vertical summit parabolic curve connecting two tangent grades, a 5% grade intersecting a -3.4% grade at station 1 + 990 with an elevation 42.30 meters. The parabolic curve shall conform with the following safe stopping sight distance requirements. Design velocity = 60 kph Height of driver’s eye from the road pavement = 1.37 meters Height of an object over the pavement ahead = 100 mm. Perception/reaction time = 0.75 second Coefficient of friction between the road pavement and the tires = 0.15 Determine the following: Stopping sight distance The length of the curve The elevation of the highest point on curve.arrow_forward
- 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?arrow_forwardWhat is the minimum radius of a horizontal curve required for a highway if the design speed is 55 mph and the superelevation rate is 7%? Use AASHTO tablEarrow_forwardFind 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_forward
- When aligning a highway in a traffic area, it is necessary to provide a horizontal circular curve of radius 295 m , if the design speed is 60 kph , determine the superelevation rate. ( Superelevation to fully counteract centrifugal force use only 75% of the design speed).arrow_forwardA vertical curve is going to be designed to join a 0% grade with a +5% grade at a section of a highway. The station and elevation of the PVC point are 5+00 and 12 ft, respectively. Assuming AASHTO design standard values for perception-reaction time, deceleration rate for braking, and driver’s eye and object heights, determine the following: 1. The min length of the curve if the design speed is 65 mi/h. 2. The station and elevation of the PVT. 3. The station and elevation of the high or low point. 4. The elevation of the point at station 6+50.arrow_forwardThe arterial road with a 100 km/h design speed will be constructed on the flat terrain. At one section, the equal tangent vertical curve as shown in Table 3 is proposed. Table 3: Parameters of Vertical Alignment Length 490 m PVC station 3+700.000 PVC elevation 460 m Initial grade -3.5% Final grade 6.5% (a) Calculate the stationing and elevation of the low point, PVI and PVT. (b) Calculate the minimum length of curve to meet stopping sight distance requirementsarrow_forward
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