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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Question
Chapter 3, Problem 46P
To determine
The station of the PTof the curve.
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The ascending of a vertical curve is 1/45 and descending gradient is 1/55. If the design speed is 60 km/hr and rate of change of acceleration of 0.4 m/s3, calculate the minimum length of the curve.
An equal-tangent crest vertical curve is designed with a PVI at station 110 + 00 (elevation 927.2 ft) and a PVC at station 107 + 43.3 (elevation 921.55 ft). If the high point is at station 110 + 75.5, what is the design speed of the curve?
An unsymmetrical parabolic curve has a forward tangent of 10% and a back tangent of +6%. the length of the curve on the left side (P.C) is 60m. If the vertex is at elevation of 100 m and the rate of change in grade of the first curve is -2% per 20m length, determine the following:
A. Elevation of P.C.
B. Elevation of P.T.
C. Length of the Second Curve
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 vertical parabolic curve has a back tangent of -5% and a forward tangent of +3% intersecting at station 1 + 240 at an elevation of 100.00 m. If the stationing of P.C. is at 1 + 120. Evaluate the stationing of the lowest point in the curve. Evaluate the elevation of the lowest point in the curve. Evaluate the rate of change of grade of the sag curve per 20 m length.arrow_forwardA two-lane highway (one 3.6-m lane in each direction) with a design speed of 100 km/h goes from normal crown with 2% cross-slope to 6 % superelevation by means of a spiral transition curve. The spiral curve is 60m long. If the superelevation is attained by rotating the road section around its centreline, draw a cross section of the road at 10, 20 and 50m from TSarrow_forwardQ3: A horizontal curve is to be designed for a two-lane road in mountainous terrain.The following data are known: Intersection angle: 30 degrees, tangent length = 150 m,station of PI: 2+750.000, fs = 0.10, e = 0.08.arrow_forward
- A simple curve having a degree of curve equal to 40030’ has a central angle of 50050’. It is required to replace the simple curve with another circular curve y connecting a transition curve (spiral) at each ends by maintaining the radius of the old curve and the center of the new central curve is moved away by 5 m. from the intersection point. Determine the central angle of the circular curve Compute the tangent distance Ts of the spiral curve What is the maximum velocity that a car could pass thru curve without skidding?arrow_forwardThe radius of the horizontal curve is 280 m. long having a super elevation of 0.06. How fast can a car move along the curve in kph if it has a coefficient of lateral friction equal to 0.12. a. 88.87 kph b. 88.78 kph c. 77.87 kph d. 77.78 kpharrow_forwardA 200-m symmetrical parabolic curve is to be placed between grades of g1=1.25% and g2=-2.75% intersecting at station 18+000, which has an elevation of 270.190m above mean sea level. a)Calculate elevations for every 20-m station on the vertical curve b)Determine the station and elevation of the highest point on the curve. c)Determine the rate of change of the vertical curve.arrow_forward
- The long chord of a compound curve is equal to 250 meters. the PC of this curve is at STA 10+000 and the PCC is at 10+139.393. The angle that the chord connecting the PC and PCC makes with the tangent passing through PC is equal to 4°. Assuming that the common tangent is parallel to the long chord.Evaluate the radius R2.arrow_forwardThe allowable side friction factor for horizontal curves with a design speed of 100 km/h is 0.12. (a) What superelevation rate would you use for a curve with a design speed of 100 km/h and a radius of 420 m? Round to the nearest whole percent. (b) A spiral transition curve is used to go from a normal crown slope with 2% cross-slopes to full superelevation for the curve described above. If the maximum difference in grade between the centerline and the edge is 1:200 and the roadway consists of two 3.6 m lanes, what is the minimum length of spiral? Round up to the next integral multiple of 20 m. (c) The station of the TS is 501+00. Draw the superelevation diagram.arrow_forwardPlease show illustration if possible. A compound curve has a length of the chord of the first curve (passing thru PC to PT) of 470m. And a length of the chord (from PCC to PT) of 230m. If the angle that the long chord makes with the chord from PC to PCC and from PT to the PCC is 6 degrees and 9 degrees respectively, find the length of the long chord.arrow_forward
- An unsymmetrical parabolic curve has a forward tangent of -7.25% and a back tangent of +6%. The length of curve on the left side of the curve is 75m long while that of the right side is 95m long. The P.C. is at station 6+590 and has an elevation of 120m. Compute the elevation at the highest point of the curve.arrow_forwardWhat is the absolute minimum radius of curve for safe operation at a speed of 110 kph? a. 440 m b. 110 m c. 220 m d. 570 marrow_forwardThe initail and final grades of a vertical curve having 2000 ft length are 2 % (plus) and 4 % (minus) respectively. The station and elevation of PVI are 345+00 and 300 ft respectively. Estimate the location and elevation of the highest point using Tangent elevation and offset method Parabolic equation methodarrow_forward
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