Problem 1.An equal-tangent vertical curve connects a +1.5% initial grade and a -3% final grade. The PVT is at station 120+52 and elevation197.665 ft. If the design speed is 50 mi/h, what is the elevation of the curve at station 118+00?MetricDesignspeed(km/h)889882888882030405060708090100110120130Stoppingsightdistance2035506585105130160185220250285Rate of verticalcurvature, KªCalculated Design120.61.922943.86.411.016.825.738.952.073.695.0123.44711172639527495124StoppingsightDesignspeed distance(mph)15 20 25 30 35 40 45 50 55 60 65 70 75 80US Customary88888888888880115155200250305360425495570645730820910Rate of verticalcurvature, KªCalculated Design33.06.111.118.529.043.160.183.7113.5150.6192.822486NNWRate of vertical curvature, K, is the length of curve per percent algebraic difference inintersecting grades (A). K = L/A1219294461114151193246.9 247311.6 312383.7 384Exhibit 3-76. Design Controls for Stopping Sight Distance and for Crest and Sag VerticalCurves***

Following are the given information.Initial grade, Final grade, Station of PVT Elevation of PVT…

An equal-tangent vertical curve connects a +1.5% initial grade and a -3% final grade. The PVT is at station 120+52 and elevation 197.665 ft. If the design speed is 50 mi/h, what is the elevation of the curve at station 118+00?

An equal-tangent vertical curve connects a +1.5% initial grade and a -3% final grade. The PVT is at station 120+52 and elevation 197.665 ft. If the design speed is 50 mi/h, what is the elevation of the curve at station 118+00?

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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Intersection Design

An intersection is a location where two or more roads or railways meet or join. The traffic movement is controlled at the intersection that depends on its design and type. It governs the operation, efficiency, speed, capacity, and safety of the highways, airways, and railways. The movement of the pedestrian causes hazards and delays at the intersection.

Question

Problem 1.
An equal-tangent vertical curve connects a +1.5% initial grade and a -3% final grade. The PVT is at station 120+52 and elevation
197.665 ft. If the design speed is 50 mi/h, what is the elevation of the curve at station 118+00?
Metric
Design
speed
(km/h)
88988288888
20
30
40
50
60
70
80
90
100
110
120
130
Stopping
sight
distance
20
35
50
65
85
105
130
160
185
220
250
285
Rate of vertical
curvature, Kª
Calculated Design
1
2
0.6
1.9
2294
3.8
6.4
11.0
16.8
25.7
38.9
52.0
73.6
95.0
123.4
4
7
11
17
26
39
52
74
95
124
Stopping
sight
Design
speed distance
(mph)
15 20 25 30 35 40 45 50 55 60 65 70 75 80
US Customary
888888888888
80
115
155
200
250
305
360
425
495
570
645
730
820
910
Rate of vertical
curvature, Kª
Calculated Design
3
3.0
6.1
11.1
18.5
29.0
43.1
60.1
83.7
113.5
150.6
192.8
22486NNW
Rate of vertical curvature, K, is the length of curve per percent algebraic difference in
intersecting grades (A). K = L/A
12
19
29
44
61
114
151
193
246.9 247
311.6 312
383.7 384
Exhibit 3-76. Design Controls for Stopping Sight Distance and for Crest and Sag Vertical
Curves
***

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