Example 2: A crest vertical curve joining a +3% grade and a -2% grade is to be designed for a two-lane highway with a design speed of 60 mph. If the tangents intersect at station (187+40.00) at an elevation of 180 ft., use the K-value to find the length of curve and determine the stations and elevations of the PVC. Also, find the location of the high point. Give: u 60 mph; G₁=+3.0 % %; G2=-2.0%; STAPVI = 187+40.00; Epv1 =180 ft.

Structural Analysis
6th Edition
ISBN:9781337630931
Author:KASSIMALI, Aslam.
Publisher:KASSIMALI, Aslam.
Chapter2: Loads On Structures
Section: Chapter Questions
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DRG PreAns
ns
of Int
no
300
÷
Rec Intg
PM Fri Feb 17
88 a 9
LCM
●
●
3.1 Handout
STApvc and Epvc
Xhigh and yhigh
Solution:
1) Determine Lmin
Example 2: A crest vertical curve joining a +3% grade and a -2% grade is to be designed for a
two-lane highway with a design speed of 60 mph. If the tangents intersect at station (187+40.00)
at an elevation of 180 ft., use the K-value to find the length of curve and determine the stations
and elevations of the PVC. Also, find the location of the high point.
Give: u-60 mph; G₁=+3.0 % %; G2=-2.0%; STAPVI = 187+40.00; EPVI =180 ft.
Find:
☆
3.1 Handout ✓
Design Speed (mi/h)
15
20
25
30
35
40
45
50
55
60
a. Lmin = KA 151 X5 755
i. K= 151
65
70
75
80
Table 3.2 Values of K for Crest Vertical Curves Based on Stopping Sight Distance
Rate of Vertical Curvature, K
X
T
80
115
155
Stopping Sight
Distance (ft)
200
250
305
360
425
495
570
645
730
820
910
Calculated
3.0
6.1
11.1
18.5
29.0
43.1
60.1
83.7
3.1
113.5
150.6
192.8
246.9
311.6
383.7
Design
3
7
12
19
29
44
61
84
sè
114
151
193
247
312
384
76%
+ x
...
Transcribed Image Text:DRG PreAns ns of Int no 300 ÷ Rec Intg PM Fri Feb 17 88 a 9 LCM ● ● 3.1 Handout STApvc and Epvc Xhigh and yhigh Solution: 1) Determine Lmin Example 2: A crest vertical curve joining a +3% grade and a -2% grade is to be designed for a two-lane highway with a design speed of 60 mph. If the tangents intersect at station (187+40.00) at an elevation of 180 ft., use the K-value to find the length of curve and determine the stations and elevations of the PVC. Also, find the location of the high point. Give: u-60 mph; G₁=+3.0 % %; G2=-2.0%; STAPVI = 187+40.00; EPVI =180 ft. Find: ☆ 3.1 Handout ✓ Design Speed (mi/h) 15 20 25 30 35 40 45 50 55 60 a. Lmin = KA 151 X5 755 i. K= 151 65 70 75 80 Table 3.2 Values of K for Crest Vertical Curves Based on Stopping Sight Distance Rate of Vertical Curvature, K X T 80 115 155 Stopping Sight Distance (ft) 200 250 305 360 425 495 570 645 730 820 910 Calculated 3.0 6.1 11.1 18.5 29.0 43.1 60.1 83.7 3.1 113.5 150.6 192.8 246.9 311.6 383.7 Design 3 7 12 19 29 44 61 84 sè 114 151 193 247 312 384 76% + x ...
Expert Solution
Step 1 Given data

Grade 1= +3%Grade 2 = -2%u=60 mphSTAPVI-(187+40.00)EPVI- 180 ft To find- a) STAPVC and EPVCb) xhigh and yhigh

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