PRIN.OF HIGHWAY ENGINEERING&TRAFFIC ANA.
7th Edition
ISBN: 9781119610526
Author: Mannering
Publisher: WILEY
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Chapter 3, Problem 33P
To determine
The station of the
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2. (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?
A crest vertical curve connects a +4.44 % grade and a -6.87 % grade. The PVI is located at station 43 + 50.00 at an elevation of 1,240.00 feet. The design speed is 30 mph.
Determine the following:
The length of the vertical curve using the AASHTO method (“K” factors) (1/8 pts.)
The station of the PVC/BVC (1/8 pts.)
The station of the PVT/EVC (1/8 pts.)
The station of the high point (1/8 pts.)
The elevation of the PVC/BVC (1/8 pts.)
The elevation of the PVT/EVC (1/8 pts.)
The elevation of the high point (1/8 pts.)
The elevation of station 44+ 23.23 (1/8 pts.)
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 1
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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- 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_forwardDetermine the minimum lenght of a crest vertical curve if the grades are +4% and -2%. Design speed is 112km/h. State assumptions used in solving this problem.arrow_forwardA crest and sag curve connect a 0% west highway segment (left) with a +1.80% east highway segment (right). The 0% west highway segment is at a higher elevation than the start of the +1.80% east highway segment. The two vertical curves connect with each other (PVŤ = PVCG) and share a 2.2% (use -2.2% for calculation) common grade. If the design speed of the curves is 60 mi/h. What the elevation difference (ft, use format 0.00, range is +/-0.02) between the two road segments?arrow_forward
- Determine the minimum length of a crest vertical curve if the grades are +4.0 % and -4.00 %. Design speed is 70 mph. State assumptions used in solving this problem.arrow_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_forwardA crest and sag curve connect a 0% west highway segment (left) with a +1.50% east highway segment (right). The 0% west highway segment is at a higher elevation than the start of the +1.50% east highway segment. The two vertical curves connect with each other (PVT = PVC5) and share a 1.9% (use -1.9% for calculation) common grade. If the design speed of the curves is 65 mi/h. What is the elevation difference (ft, use format 0.00, range is +/-0.03) between the two road segments?arrow_forward
- A 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_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.arrow_forwardA 500-m long equal tangent vertical curve has a point of vertical curvature at station 2 + 600 and elevation 450 m. The initial grade is -1% and final grade is +1% b) determine the highest and the lowest points on this vertical curve by using the K-value.arrow_forward
- EXAMPLE 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_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_forwardA 400-ft equal-tangent sag vertical curve has its PVC at station 78+00 and elevation 800 ft. The initial grade is -4% and the final grade is +2.5%. Determine the station of the lowest point of the curve.arrow_forward
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