PRIN.OF HIGHWAY ENGINEERING&TRAFFIC ANA.
7th Edition
ISBN: 9781119610526
Author: Mannering
Publisher: WILEY
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Chapter 3, Problem 40P
To determine
The elevation difference between the two road segments.
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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.
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 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?
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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- A 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 vertical symmetrical sag curve has a descending grade of - 4.2% and an ascending grade of +3% intersecting at station 10 +020, whose elevation is 100 m. The two grade lines are connected by a 260 m vertical parabolic sag curve. (a) At what distance from the P.C. is the lowest point of the curve located in m? (b) What is the vertical offset of the parabolic curve to the point of intersection of the tangent grades in m. (c) If a 1 m. diameter culvert is placed at the lowest point of the curve with the top of the culvert buried 0.60 m. below the subgrade, what will be the elevation of the invert of the culvert?arrow_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_forward
- Q6. To help improve the safety of at-grade intersection of two roads, the intersection is being redesigned so that the E-W road will pass underneath the N-S road. Currently the vertical alignment of the E-W road consists of a crest vertical curve joining a 4% upgrade to a 3% downgrade. The existing vertical curve is 138 m long, the PVC of this curve is at station 14+47, and the elevation of the PVC is 477 m. The centerline of the N-S road is at station 15+45. Your job is to find the shortest vertical curve that provides 6.0 m of clearance between the new E-W road and the N-S road.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_forwardA 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.arrow_forward
- Question 3 An equal-tangent vertical curve is to be constructed between grades of -2 percent and +1 percent. The PVI is at station 110 + 00 and at elevation 420 ft. Due to a street crossing the roadway, the elevation of the roadway at station 112 + 00 must be at 424.5 ft. Design the curve.arrow_forward1) 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_forwarda crest vertival curve connects a +4.44% grade and a -6.87% grade. The PVI is at station 43 + 15.25 m at an elevation of 380 m. The design speed is 30 mi/h (=50 km/h). Determine the following. a) the length of the vertical curve using "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 + 7.00 marrow_forward
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