Traffic and Highway Engineering
5th Edition
ISBN: 9781305156241
Author: Garber, Nicholas J.
Publisher: Cengage Learning
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Chapter 15, Problem 9P
To determine
(a)
The length of the vertical curve using the AASHTO methods ("K "factors).
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A +4.0% grade intersects a -3.0% percent grade at PVI Sta. 222+00 and Elevation 300.00 on a
two-lane highway with a design speed of 45 mph. Assume AASHTO Standards.
1. Determine the minimum length for the curve that is designed to meet passing sight
distance using K-value method
2. Determine the Station and Elevation of the PVC
A crest vertical curve connects a +4.44% grade and a -6.87% grade. The PVI is at station 43 + 50.00 at an elevation of 1240.00 ft. The design speed is 30 mi/h. Determine: (a) The length of the vertical curve using the AASHTO method (“K” factors) (b) The station of the BVC (c) The elevation of the BVC (d) The station of the EVC (e) The elevation of the EVC (f ) The station of the high point (g) The elevation of the high point (h) The elevation of station 44 + 23.23
1. A crest vertical curve connects a +1.5 % grade with a -2.5 % grade on a two-lane highway. The
criterion selected for design is the minimum stopping sight distance for a design speed of 90 km/h
based on AASHTO (2004) design criteria. If the grades intersect at station (14+465) at an elevation of
100 m, compute the station and elevation of BVC, EVC, and highest point. Also, compute the
elevation of the curve at 50-m intervals. Display all results in a tabular form.
Chapter 15 Solutions
Traffic and Highway Engineering
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- (ii) Determine the transition length based on permissible speed for a 2º curve with maximum permissible speed of 100 kmph on a BG railway track. [Consider, G = 1.676 m]arrow_forwardA crest vertical curve connects a +4.44% grade and a -6.87% grade. The PVI is at station 43 + 50.00 at an elevation of 1240.00 ft. The design speed is 30 mi/h. Determine: (f ) The station of the high point (g) The elevation of the high point (h) The elevation of station 44 + 23.23arrow_forwardA horizontal curve on Texas Highway 83 (Tx83) comprises of a two-lane rural highway with a lane width of 12 ft. and superelevation of 8%. The posted speed limit is 50 mph. along a 0.5-mile section of highway, both a horizontal and vertical curve exists. The vertical curve has an initial grade of -2.00% and a final grade of +4.00%. The PVI is at station 156+40. A driver traveling eastbound strikes a stationary roadway object. The daytime crash results in a fatality and is being investigated for safe design speed. Evaluate and comment on the roadway design.arrow_forward
- 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 abovearrow_forwardA parabolic curve has a descending grade of -0.8% and an ascending grade of +0.4% that intersect at station 10 + 020 with an elevation of 240.600 m. If the maximum allowable rate of change of grade for this curve is 0.15% per 20 m stations, determine the following: a. The maximum probable length of the parabolic curve b. The location and elevation of the lowest point of the curve c. The elevation at station 10 + 000arrow_forwardA -3% grade meets a +5% grade near an underpass. In order to maintain the minimum clearance allowed under the bridge and at the same time introduce a vertical transition curve in the grade line, it is necessary to use a curve that lies 200 m on one side of the vertex of the straight grade and 100 m on the other. The station of PC is 10 + 000 and its elevation is 228 m. Determine the stationing of the lowest point of the curve. A 10+211 B. 10+200 C. 10+106 D. 10+207arrow_forward
- A +4.0% grade intersects a -3.0% percent grade at PVI Sta. 222+00 and two-lane highway with a design speed of 45 mph. Assume AASHTO Standards. 1. Determine the minimum length for the curve that is designed to meet passing sight distance using K-value method 2. Determine the Station and Elevation of the PVC Duoblem 1arrow_forwardA horizontal curve on Texas Highway 83 (Tx83) comprises of a two-lane rural highway with a lane width of 12 ft. and a super elevation of 8%. The posted speed limit is 50 mph. along a 0.5-mile section of highway, both a horizontal and vertical curve exists. The vertical curve has an initial grade of -2.00% and a final grade of +4.00%. The PVI is at station 156+40. A driver traveling eastbound strikes a stationary roadway object. The daytime crash results in a fatality and is being investigated for safe design speed. Evaluate and comment on the roadway design.arrow_forwardEXAMPLE A -2% grade meets a +8% gradę near an underpass. In order to maintain the minimum clearance allowed under the bridge and at the same time introduce a vertical transition curve in the grade line, it is necessary to use a curve that lies 400-m on one side of the vertex of the straight grade and 240-m on the other. The station of the beginning of the curve (400-m side) is 10+0oo and its elevation is 200-m. Determine the stationing of the lowest point in the curve а. b. Determine the elevation at station 10+080. С. Determine the elevation of PVT. d. If the uphill edge of the underside of the bridge is at station 10+440 and at elevation 203.41-m, what is the vertical clearance under the bridge at this point?arrow_forward
- Q3/ A vertical curve below has a lower point (A) which exists at station (55+50) with elevation (1291.2 m). the back grade of (-8%) meet the forward grade of (+7.8%) at (PVI) station (54+00) with elevation (1281.5 m). determine the length of the curve with the stations of (PVC) and (PVT)? PVT PVC g₁=(-6%) PVI g₂=(+5.8%)arrow_forward2. (Sag Vertical Curve) An existing highway-railway at-grade crossing is being redesigned as grade separated to improve traffic operations. The railway must remain at the same elevation. The highway is being reconstructed to travel under the railway. The underpass will be a sag curve that has an initial grade of -2% and a final grade of 2%. The PVI of the sag curve will be centered under the railway (a symmetrical alignment). The sag curve design speed is 45 mi/h. How many feet below the railway should the curve PVI be located?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: c. The length of the first curve in yard if 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.arrow_forward
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