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 28P
To determine
The highest possible value of the final grade in daytime conditions and in nighttime conditions.
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A grade of vertical curve can
expressed as
be
O O O O O
O A-In terms of percent
O D-Both A and B
C-In terms of number
B-In terms of ratio
O E-None of above
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.
The steepest gradient on a 3º curve on a Narrow
Gauge line with a stipulated ruling gradient of 1 in
200, given that grade compensation is 0.02% per
degree of curve, is
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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- 2. Calculate the superelevation and the maximum permissible speed for a 3 degree MG transitioned curve on a high speed route with a maximum sanctioned speed of 90 km/h. The speed for calculating the equilibrium superelevation as decided by the chief engineer is 85 kph and the booked speed of goods trains is 60 kph.arrow_forwardProblem 2. This is a four-part problem. A +2.5% grade intersects with a –1.5% grade at station (735 + 30.75) at an elevation of 475 ft. Part A. If the design speed is 65 mi/h, determine the minimum length, in ft, of vertical curve. Part B. If the design speed is 65 mi/h, determine the elevation, in ft, of the point of vertical tangency also known as end of vertical curve. Part C. If the design speed is 65 mi/h, determine the elevation, in ft, of the highpoint of the curve. Part D. If the design speed is 65 mi/h, determine the distance, in ft, from the point of vertical curvature (also known as the beginning of curve) to the highpoint of the curve.arrow_forwardA sag curve is being built under an existing overpass. The point of vertical intersection (PVI) of the proposed curve is at elevation 312 ft and the bottom of the overpass is at elevation 329 ft. The curve is being designed to match a -2.3% grade to a 2.5% grade at a design speed of 40 mph. If the curve is positioned to give maximum clearance to the overpass, will it provide at least 15 ft of clearance? Include a sketch of the curvearrow_forward
- 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_forwardCalculate the minimum length of a crest vertical curve for a two lane highway with an initial grade of +3.5% and a final grade of -2% based on a Passing Sight Distance (PSD) of 700 ft (i.e. corresponding to a design speed of 45 mph). For Passing Sight Distance, AASHTO 2011 policy assumes a driver eye height above the roadway of 3.5ft (i.e. h1) and an object height of 3.5 ft (i.e. h2). TRANSPORTATION ENGINEERING-IIarrow_forwardTwo vertical parabolic curves have been connected to form a roadway by three gradients: -5.30 %, 4.10 % and -3.70 % respectively. If the length of the second curve is twice as the length of the first curve, compute the following: a. The length of the second curve in ft given that the design speed of the first curve is 80 kph assuming a vertical radial acceleration of 0.3m/s2 for comfort criterion. b. The length of the second curve in m if the headlight height of the vehicle is 0.73 m above the first curve and the inclined upward angle of the headlight beam relative to the horizontal plane of the vehicle is 1.57% The design speed for the first curve for this situation is 90 kph. c. The length of the first curve in yard if the total length of the roadway is 7451 m given that the second curve has a design speed of 70 kph for passing sight distance with the driver's eye height assumed to be 1.5 m and object height of 0.33 m. d.The total length of the roadway in km if a bridge…arrow_forward
- A grade of -3.0% is followed by a grade of +2.1% which intersects at station 10+250 and elevation of 110 m. If the maximum change in grade per 20 m station is 0.20%, determine the following A. Length of parabolic curve that shall connect these two gradelines. B. Elevation of PC. C. Elevation of a point on the curve @ Sta.10+250.arrow_forwardQ1: If a 8⁰ curve track diverges from a main curve of 5° in an opposite direction in the layout of a B.G. yard, calculate the superelevation and the maximum permitted speed on the main line, if the maximum speed permitted on the branch line is 35 kmph.arrow_forwardWhat is the value of gradient for a BG track such that the grade resistance together with curve resistance due to a curve of 2 degrees shall be equal to the resistance due to a ruling gradient of 1 in 200?arrow_forward
- An existing equal-tangent sag vertical curve is designed for 60 mi/h. The initial grade is −3% and the elevation of the PVT is 754 ft. The PVC of the curve is at station 134 + 16 and the PVI is at 137 + 32. An overpass is being constructed directly above the PVI. The highway is for cars only (AASHTO minimum and recommended structure clearances do not apply) and the overpass design assumes the driver's eye height is set conservatively to 5 ft and the object height is 2 ft. What is the lowest possible elevation of the bottom of the overpass structure to ensure sufficient stopping sight distance at 60 mi/h? (Use Table 3.3 to determine K-value)arrow_forwardTraffic Engineering vertical curve problem. Solve the d,e,f partarrow_forwardA horizontal curve in an urban area is being designed for 40 mph. If there is a maximum radius of 500 feet, what is the necessary super-elevation? Is this value feasible?arrow_forward
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