PRIN.OF HIGHWAY ENGINEERING&TRAFFIC ANA.
7th Edition
ISBN: 9781119610526
Author: Mannering
Publisher: WILEY
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Chapter 3, Problem 37P
To determine
The elevation difference between stations
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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.)
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.
PROBLEM 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.
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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- 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 BVC and EVC, the elevation of each 100-ft station, and the high point. Use L = KA.arrow_forwardEngineers 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_forwardA +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 BVC and EVC, and the elevation of each 100-ft station. Use L = KA to find minimum curve length for this problem.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_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_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 rural highway has a +6% grade on a mountainous region. If the maximum and minimum the speed limit on this highway for trucks is 70 mph and 45 mph, respectively, determining the “critical length” of this gradearrow_forwardA 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_forwardThe design speed of a highway is 80 km/h. There is a horizontal curve of radius 200 m in a certain locality. What should be the superelevation required to maintain this design speed? If the maximum superelevation of 0-07 is not to be exceeded, what should be the maximum allowable speed on this curve ? Also determine the extra widening required and length of transition curve using the following data: Length of wheel base of the largest vehicle = 6-1 m Pavement width=7-2 m Number of lanes = 2 Rate of introduction of superelevation = 1 in 200 Type of terrain Plain Safe limit of coefficient of friction = 0.15arrow_forward
- Example 3 The design speed of the highway is ranging from 100 - 120KM/h. The initial and final grades are G1= 2.5% & G2 = -1.5% Calculate corresponding minimum length of the vertical curve that satisfies the minimum stopping sight distancearrow_forwardA highway is being designed to AASHTO guidelines with a 70 mph (113 km/h) design speed and at one section an equal tangent vertical curve must be designed to connect grades of +1% and -2%. Then; Determine the minimum length of the curve necessary to meet SSD requirements.arrow_forwardFor the following conditions: Design speed 60 mph, V/C ratio = 0.6, Level of service = Curve radius, 955 ft, Time value = $4/hr. If the basic section cost for passenger cars on a multilane highway is $206/KV-M, estimate the highway grade. B, %3Darrow_forward
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