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

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

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
Transcribed Image Text: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
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 5 steps with 5 images

Blurred answer
Knowledge Booster
Geometric design of highway facilities
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.
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