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
icon
Related questions
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
***
Transcribed Image Text: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 ***
Expert Solution
steps

Step by step

Solved in 4 steps with 10 images

Blurred answer
Knowledge Booster
Intersection design
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, civil-engineering and related others by exploring similar questions and additional content below.
Similar questions
  • SEE MORE QUESTIONS
Recommended textbooks for you
Structural Analysis
Structural Analysis
Civil Engineering
ISBN:
9781337630931
Author:
KASSIMALI, Aslam.
Publisher:
Cengage,
Structural Analysis (10th Edition)
Structural Analysis (10th Edition)
Civil Engineering
ISBN:
9780134610672
Author:
Russell C. Hibbeler
Publisher:
PEARSON
Principles of Foundation Engineering (MindTap Cou…
Principles of Foundation Engineering (MindTap Cou…
Civil Engineering
ISBN:
9781337705028
Author:
Braja M. Das, Nagaratnam Sivakugan
Publisher:
Cengage Learning
Fundamentals of Structural Analysis
Fundamentals of Structural Analysis
Civil Engineering
ISBN:
9780073398006
Author:
Kenneth M. Leet Emeritus, Chia-Ming Uang, Joel Lanning
Publisher:
McGraw-Hill Education
Sustainable Energy
Sustainable Energy
Civil Engineering
ISBN:
9781337551663
Author:
DUNLAP, Richard A.
Publisher:
Cengage,
Traffic and Highway Engineering
Traffic and Highway Engineering
Civil Engineering
ISBN:
9781305156241
Author:
Garber, Nicholas J.
Publisher:
Cengage Learning