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Kippap-Handout-MSTE (36 Surveying - Vertical Curves)
BS Civil Engineering (University of Manila)
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KIPPAP EDUCATION
36 Surveying: Vertical Curves
INSTRUCTION: Select the correct answer for each of the following questions.
Mark only one answer for each item by shading the box corresponding to the
letter of your choice on the answer sheet provided. STRICTLY NO ERASURES
ALLOWED.
1. A descending grade of 4.2% intersects an ascending of 3% grade at station
12+125 at elevation 14.2 m. These two grades are to be connected by a 260 m
vertical parabolic curve. A reinforced concrete culvert pipe with overall
diameter of 105 cm is to be constructed with its top 30 cm below the subgrade.
What is the stationing of the lowest point of the curve?
A. Sta 12+348.65 m
C. Sta 12+146.67 m
B. Sta 12+457.24 m
D. Sta 12+265.21 m
2. In the previous question, what is the elevation of PC?
A. 49.42 m
C. 26.13 m
B. 34.78 m
D. 19.66 m
3. In question 1, what will be the invert elevation?
A. 16.31 m
C. 15.12 m
B. 17.21 m
D. 18.92 m
4. The distance of the highest point of a vertical curve is 70.59m from the
PC. If the length of curve is 120m and the slope of the forward tangent is
-1.4%, determine the slope of the back tangent.
A. -4%
C. +6%
B. +2%
D. -8%
5. The length of a summit vertical curve is 200 m. Tangent grades for the
vertical curves are +3% and-2%. Find the radius of the summit curve.
A. 1500 m
C. 3500 m
B. 2000 m
D. 4000 m
An unsymmetrical parabolic curve connects a +4.2% grade and a -3.4% grade.
The length of curve on the left side of the vertex is 80 m and 110 m on the
other side. If the stationing of the point of intersection is 4+460 and its
elevation is 145.2 m. Determine the following:
6. Location of the summit from PT.
A. 128.44 m
C. 137.87 m
B. 106.26 m
D. 113.64 m
7. Stationing of the summit.
A. Sta 4+252.59 m
C. Sta 4+456.36 m
B. Sta 4+480.95 m
D. Sta 4+262.33 m
8. Elevation of the summit.
A. 143.44 m
C. 116.35 m
B. 136.49 m
D. 126.37 m
An unsymmetrical parabolic curve has a forward tangent of -8% and a backward
tangent of +5%. The back tangent of the curve on the left side is 40 m long
while that of the right side is 60 m long. PC is at Sta. 6+780 and at
elevation 110 m.
9. How far from PC is the summit of the curve?
A. 25.641 m
C. 34.751 m
B. 63.243 m
D. 47.623 m
10. Determine the elevation at Sta. 6+820.
A. 135.85 m
C. 110.44 m
B. 140.54 m
D. 120.68 m
Kippap Education
0905 664 2628
kippapeducation@gmail.com
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CE Board Exam Review
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