A crest vertical curve joining a + 3 percent and – 4 percent grade is to be designed for 75 mph. If the tangent intersect at station (345 + 6000) at an elevation of 250 ft, determine the stations and elevations of the PVC and PVT. aDesignspeed(km/h)2030405060708090100110120130Stoppingsightdistance(m)2035506585Metric105130160185220250285Rate of verticalcurvature, KaCalculated0.61.93.86.411.016.825.738.952.073.695.0123.4Design12NALITESERIEN15 20 25 30 35 40 45 50 55 60 65 70 75 m4711172639527495Designspeed(mph)12480US CustomaryStoppingsightdistance(ft)80115155200250305360425495570645730820910Rate of verticalcurvature, KaCalculated3.06.111.118.529.043.160.183.7113.5150.6192.8246.9311.6383.7Rate of vertical curvature, K, is the length of curve per percent algebraic difference inintersecting grades (A). K = L/ADesign37121929446184114151193247312384Exhibit 3-76. Design Controls for Stopping Sight Distance and for Crest and Sag VerticalCurves

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Structural Analysis

6th Edition

ISBN:9781337630931

Author:KASSIMALI, Aslam.

Publisher:KASSIMALI, Aslam.

Chapter2: Loads On Structures

Section: Chapter Questions

Problem 1P

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A crest vertical curve joining a + 3 percent and – 4 percent grade is to be designed for 75 mph. If the tangent intersect at station (345 + 6000) at an elevation of 250 ft, determine the stations and elevations of the PVC and PVT.

a
Design
speed
(km/h)
20
30
40
50
60
70
80
90
100
110
120
130
Stopping
sight
distance
(m)
20
35
50
65
85
Metric
105
130
160
185
220
250
285
Rate of vertical
curvature, Ka
Calculated
0.6
1.9
3.8
6.4
11.0
16.8
25.7
38.9
52.0
73.6
95.0
123.4
Design
1
2
NALITESERIEN
15 20 25 30 35 40 45 50 55 60 65 70 75 m
4
7
11
17
26
39
52
74
95
Design
speed
(mph)
124
80
US Customary
Stopping
sight
distance
(ft)
80
115
155
200
250
305
360
425
495
570
645
730
820
910
Rate of vertical
curvature, Ka
Calculated
3.0
6.1
11.1
18.5
29.0
43.1
60.1
83.7
113.5
150.6
192.8
246.9
311.6
383.7
Rate of vertical curvature, K, is the length of curve per percent algebraic difference in
intersecting grades (A). K = L/A
Design
3
7
12
19
29
44
61
84
114
151
193
247
312
384
Exhibit 3-76. Design Controls for Stopping Sight Distance and for Crest and Sag Vertical
Curves

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