PRIN.OF HIGHWAY ENGINEERING&TRAFFIC ANA.
7th Edition
ISBN: 9781119610526
Author: Mannering
Publisher: WILEY
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Question
Chapter 3, Problem 16P
To determine
The station and elevation of the curve's high point.
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4. An equal tangent (sag) vertical curve connects an initial grade of -3% and a final
grade of +1% and is designed for 60 mph. The PVI is at station 250+50 and
elevation 732 ft. What is the station and elevation of the lowest point on the curve?
A symmetrical parabolic summit curve is to connect two roads with grades of
+4% and -2.5% that meet at station 18 + 420 at an elevation of 80.522 m. This
curve is to pass through a point P at station 18 + 400 at an elevation of 79.267 m.
Determine the elevation at the highest point on the curve.
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.
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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Similar questions
- A 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_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
- A Vertical parabolic curve of length 180m has the following specifications. The point of interaction of grade lines is at station 4 + 316 and its elevation is 38m. The backwards tangent has a grade of -2.2% and the grade of the forward tangent is +3%. Under this conditions determine the following: (a) Station and elevation of PC & PT (b) Station of the lowest point of the curve (c) Elevation of the lowest point of the curvearrow_forwardQuestion # 5 An existing crest vertical curve which connects +3% and -1% grades is designed for 55 MPH. The curve is to be re-constructed for a 65 MPH design speed. The PVI of the new curve will remain the same as the existing curve but the PVC and PVT will change to accommodate the new curve length. The existing curve's PVT is situated at station 40+00 and the elevation of the existing curve directly below the PVI is 179.22 ft. Stations increase from PVC to PVT. Determine: a. The stations of the new curve at PVC and PVT b. The elevations of the new curve at PVC and PVT c. Determine depth of excavation (d) at PVI station from existing to the new curve. PVC₂ PVC₁ 91 +3% New Curve PVI 92= -1% Elevation 179.22 Station 40+00 PVT₁ PVT2arrow_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_forward
- 1) An equal-tangent crest vertical curve has a 50 mi/h design speed. The initial grade is +3%. The high point is at station 33+37.43 and the PVT is at station 37+18.26. What is the elevation difference between the high point and the PVT? 2) A 1400-ft-long sag vertical curve (equal tangent) has a PVC at stateion 115+00 and elevation 750ft. The intial grade is -3.5% and the final grade is +6.5%. Determine the elevation and stationing of the low point, PVI, and PVT. If you could show as many steps taken as possible that would be helpful in me actually understanding how to do the problem. Thanksarrow_forwardAn 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?arrow_forwardA -4% grade at Sta. 5 + 700 and elev. 110.2 is to connect to a +6% grade at Sta. 6 + 100 and elev. 105.2. Determine the following: a) Elevation and grade of the PCC (Point of Common Curve) b) Location of PVI (Point of Vertical Intersection)arrow_forward
- A vertical parabolic happy curve underpass has a grade of -4% followed by a grade of 2% intersecting at Sta. 12+150.60 at elevation of 124.80 m above sea level. The change of grade of the sag curve is restricted to 0.6%. a. Compute the length of curve.arrow_forwardA-4% grade line meets another line of +3.2% grade at station 11+ 40. If a 225-ft parabolic curve connects these grade lines, at what station is the lowest point along the curve located?arrow_forwardAn equal tangent vertical curve is to be constructed between grades of -2.0% and +1.0 %. The PVI is at station 11 +000.00 and at elevation 420 m. Due a street crossing the roadway, the elevation of the roadway at station 11 +071.00 must be at 421.5 m. Design the curve. (what is the curve length?)arrow_forward
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