An old equal-tangent crest vertical curve was designed with a PVI at station 117+45 and elevation of 960 ft., and a PVC at station 110 + 85 and elevation of 927 ft. If the highest point on the curve is at station 117 + 65, what is the maximum safe design speed for this curve? (explore andreport your answer in 5 mph increment) [hint: Use design tables. But this time, find the speed based on K] Based on Stopping SightRate of verticalcurvature, KDesignspeed(mi/h)Stopping sightdistance(ft)CalculatedDesign15803.031156.17202515511.1123020018.5193525029.0294030543.14461ufforK4536060.15042583.78455495113.511460570150.615165645192.819370730246.924775820311.631280910383.7384Table 3.3 Design Controls for Sag Vertical CurvesBased on Stopping Sight DistanceRate of verticalDesignStopping sightcurvature, K*

Answered: An old equal-tangent crest vertical…

Structural Analysis

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ISBN:9781337630931

Author:KASSIMALI, Aslam.

Publisher:KASSIMALI, Aslam.

Chapter2: Loads On Structures

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Problem 1P

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An old equal-tangent crest vertical curve was designed with a PVI at station 117+45 and elevation of 960 ft., and a PVC at station 110 + 85 and elevation of 927 ft. If the highest point on the curve is at station 117 + 65, what is the maximum safe design speed for this curve? (explore and report your answer in 5 mph increment) [hint: Use design tables. But this time, find the speed based on K]

Based on Stopping Sight
Rate of vertical
curvature, K
Design
speed
(mi/h)
Stopping sight
distance
(ft)
Calculated
Design
15
80
3.0
3
115
6.1
7
20
25
155
11.1
12
30
200
18.5
19
35
250
29.0
29
40
305
43.1
44
61
uf
for
K
45
360
60.1
50
425
83.7
84
55
495
113.5
114
60
570
150.6
151
65
645
192.8
193
70
730
246.9
247
75
820
311.6
312
80
910
383.7
384
Table 3.3 Design Controls for Sag Vertical Curves
Based on Stopping Sight Distance
Rate of vertical
Design
Stopping sight
curvature, K*

Expert Solution

Step 1

An equal tangent crest vertical curve is as below

The point PVC is called as the initial tangent point of the curve, PVI is called point of vertical intersection, and PVT is called as the point of final tangent point of the curve.

Equal tangent curve means the length of the tangent line between PVC and PVI is equal to the length between the PVI and PVT

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