A +2.5% grade intersects with a –1.5% grade at station (53+524.25) at an elevation of 90 m. If the design speed is 90 km/h, use AASHTO (2011) criteria to determine: The minimum length of vertical curve using the rate of vertical curvature. The stations and elevations of the BVC and EVC. The elevation of each 20-m station. The station and elevation of the highpoint.

Structural Analysis
6th Edition
ISBN:9781337630931
Author:KASSIMALI, Aslam.
Publisher:KASSIMALI, Aslam.
Chapter2: Loads On Structures
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  1. A +2.5% grade intersects with a –1.5% grade at station (53+524.25) at an elevation of 90 m.

If the design speed is 90 km/h, use AASHTO (2011) criteria to determine:

  1. The minimum length of vertical curve using the rate of vertical curvature.
  2. The stations and elevations of the BVC and EVC.
  3. The elevation of each 20-m station.
  4. The station and elevation of the highpoint.
Values of K for Crest Vertical Curves Based on Stopping Sight Distance
Rate of Vertical Curvature, Kª
Stopping Sight
Distance (ft)
Design Speed (mi/h)
Calculated
Design
15
80
3.0
3
20
115
6.1
7
25
30
35
155
200
250
11.1
18.5
29.0
12
19
29
40
45
305
360
43.1
60.1
83.7
113.5
44
61
50
425
55
60
495
570
84
114
151
150.6
65
70
645
730
820
192.8
246.9
193
247
75
311.6
312
80
910
383.7
384
Transcribed Image Text:Values of K for Crest Vertical Curves Based on Stopping Sight Distance Rate of Vertical Curvature, Kª Stopping Sight Distance (ft) Design Speed (mi/h) Calculated Design 15 80 3.0 3 20 115 6.1 7 25 30 35 155 200 250 11.1 18.5 29.0 12 19 29 40 45 305 360 43.1 60.1 83.7 113.5 44 61 50 425 55 60 495 570 84 114 151 150.6 65 70 645 730 820 192.8 246.9 193 247 75 311.6 312 80 910 383.7 384
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