PRIN.OF HIGHWAY ENGINEERING&TRAFFIC ANA.
7th Edition
ISBN: 9781119610526
Author: Mannering
Publisher: WILEY
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Chapter 3, Problem 67P
To determine
The minimum length of curve.
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A parabolic sag vertical curve is formed when a rural highway passes under a bridge joining a -6% grade to the horizontal grade. The vertical point of intersection of these two grades lies 3 feet below the curve. If the vertical clearance of the underpass is only 10 feet, what speed limit would you suggest should be imposed at this spot, considering a safe stopping sight distance? Use H=3.5 ft, β= 1.50; assume vehicle deceleration rate of 13.5 ft/s2 and driver’s perception-reaction time of 2.5 seconds.
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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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- 3.44 A horizontal curve on a single-lane freeway ramp is 400 ft long, and the design speed of the ramp is 45 mi/h. If the superelevation is 10% and the station of the PC is 18+ 25, what is the station of the PI and how much distance must be cleared from the center of the lane to provide adequate stopping sight distance?arrow_forwardAn existing vertical curve on a highway joins a +3.0% grade with a -3.0% grade. If the length of the curve is 250 ft, what is the maximum safe speed on this curve? What speed should be posted if 5 mph increments are used? Assume a = 11.2 ft/sec2, perception-reaction time t = 2.5 sec, and that S>L. Use g = 32.2 ft/sec2arrow_forwardA 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 first deflection angle (degrees) (i.e. the angle subtended by the roadway between the PC and the first full station)?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 intermediate or additional deflection angle (degrees) (i.e. the angle subtended by the roadway between two subsequent full stations)?arrow_forwardAn ascending grade of 5% and descending grade of 4% are connected by a parabolic curve. A motorist passing on the curve and whose eyesight is 1.5 m above the pavement could just see the top of a visible object 130mm high at a horizontal distance of 160 m. Determine the length of the parabolic curve connecting the gradelines. a. 457.83 b. 425.48 c. 458.38 m d. 424.98arrow_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
- Two straight sections of road are to be linked by a wholly transitional curve comprising two clothoid spiral curves with differing rates of gain of radial acceleration. Deflection angle between the two straight sections of road 43.5 Design Speed 75 Rate of gain of radial acceleration for entry transition curve 0.400 Rate of gain of radial acceleration for exit transition curve 0.600 Answers required: a) What is the value of the point radius where the two transition curves meet?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_forwardExample: A grade g1 of -2% intersects g2 of +1.6% at a vertex whose station and elevation are 87+00 and 743.24, respectively. A 400' vertical curve is to be extended back from the vertex, and a 600’ vertical curve forward to closely fit ground conditions. Compute and tabulate the curve for stakeout at full stations.arrow_forward
- An existing vertical curve on a highway joins a +4.4% grade with a -4.4% grade. If the length of the curve is 82m, what is the maximum safe speed on this curve? What speed should be posted if 8kph increments are used?arrow_forwardA two-lane rural highway has a horizontal curve segment that must have a radius of 329 ft (measured to the centerline that separates the two lanes). If the design speed is 25 mph and ? = 0.10, what should be the super-elevation? What is the SSD?The curve has a lane width of 14 ft. If a fence is located at 44 ft from the center of the inner lane of the curve. Calculate the available sight distance of the driver. Is the sight distance adequate? Explain your answerarrow_forwardYou are asked to design a horizontal curve for a two-lane road. The road has 12 ft lanes. Due to expensive excavation, it is determined that a maximum of 34 ft can be cleared from the roads centerline toward the inside lane to provide to provide for stopping sight distance. Also, local guidelines dictate that a maximum superelevation of 0.08 ft/ft. What is the highest design speed possible for this curve?arrow_forward
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