Traffic and Highway Engineering
5th Edition
ISBN: 9781305156241
Author: Garber, Nicholas J.
Publisher: Cengage Learning
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Chapter 15, Problem 25P
To determine
Minimum radius of horizontal curvature and minimum length of vertical curvefor the given bicycle path.
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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.
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 distance
A 8-degree simple curve is to be designed for a maximum speed of 91.8kph. The coefficient of friction between the tires and pavement is 0.32. What is the required super elevation in percent?
Chapter 15 Solutions
Traffic and Highway Engineering
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- Asaparrow_forwardTraffic Engineering vertical curve problem. Solve the d,e,f partarrow_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
- Determine the minimum radius of a horizontal curve required for a highway if the design speed is 70 mi/h and the superelevation rate is 0.08.arrow_forward11. Two 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 half 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/s? for comfort criterion.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_forward
- A. A curving roadway has a curve with a radius of 640 m. The superelevation has been set at 5% and the coefficient of side friction is found to be 0.20. In addition, the traffic engineer has designed the speed as 125 km/hr, and the angle is 74°. i. Explain whether this speed will provide a safe vehicle operation or not? ii. Find middle ordinate iii. Curve length iii. Tangent Length v. Sketch the curve elements with all values B. Describe the major elements that geometric design of highways deals with? (write between 100-150 words)arrow_forwardHighway 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.arrow_forwardAn equal-tangent vertical curve was designed in 2000 for a design speed of 70 mi/h to connect grades G1 = +1% and G2 = -2%. The curve is to be redesigned for a 70-mi/h design speed in the year 2020. Vehicle braking technology has advanced so that the recommended design deceleration rate is 25% greater than the 2000, but due to the higher percentage of older persons in the driving population, design reaction times have increased by 20%. Compute the difference in design curve lengths for the 2000 and 2020 designs.arrow_forward
- Determine the minimum length of a vertical curve in a residential street if the grades are –4% and +3%. A design speed of 10 km/h higher than the posted speed limit has been adopted for this road. Consider the most common and desirable assumptions for road design in Australia. Assume stopping sight distance for this road is higher than the length of the vertical curve. Consider passenger car to obtain the height of eye of driver and object height (car tail light). Select one: a. None b. 35 c. 64 d. 81arrow_forwardA 12-degree simple curve is to be designed for a maximum speed of 88 kph. The coefficient of friction between the tired and pavement is 0.4. What is the required super-elevation in percent?a. 7.87 b. 8.11 c. 63.8 d. 23.8 e. none of the abovearrow_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_forward
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