Republic of the Philippines

POLYTECHNIC UNIVERSITY OF THE PHILIPPINES

LOPEZ, QUEZON BRANCH

ROUTE SURVEYING AND EARTHWORKS

Final Examination

NAME: Meynard A. Cadacio Rating: __________

DATE: July 25, 2022 Year & Section: DCVET 2-1 Score: ___________

INSTRUCTION: Select the correct answer for each of the following questions. Mark only one
answer for each item by encircling the letter of your choice. STRICTLY NO ERASURES
ALLOWED.

1. From the PC, the deflection angles of two intermediate points A and B of a simple curve
are 4 and 12o respectively. Find the chord distance between A and B if the length of the curve
o

from the PC to B is 146.61 m.

A. 87.25 m C. 97.42 m
B. 65.24 m D. 48.71 m

2. The middle ordinate of a simple curve is 8.12 m. Find the radius of the curve if the
central angle is 40o.
A. 110.47 m C. 156.32 m
B. 85.65 m D. 134.64 m

3. A vertical sag curve has a tangent grades of -3.2% and +4.6% meeting at point A whose
elevation is 998 m at station 73 + 180. If the length of the curve is 440 m, find the stationing of
the PC.
A. 73 + 420 C. 73 + 620
B. 73 + 400 D. 73 + 510

4. A simple curve having a radius of 200 m have tangents with bearings of N 10o E and N
70 E respectively. The stationing of PC is 1 + 400.
o

a. Determine the middle ordinate in meters

A. 26.8 C. 20.5
B. 22.3 D. 31.2
b. Determine the external distance in meters.
A. 30.94 C. 26.38
B. 41.05 D. 28.87

c. Determine the stationing of a point Q on the curve whose deflection angle from PC is
6o.

A. 1 + 437.58 C. 1 + 442.56

B. 1 + 441.89 D. 1 + 440.18

5. A 4-degree simple curve has an angle of intersection of 54o. The PC of the curve is at
station 34 + 523.
a. Determine the length of the long chord in meters.
A. 291.94 C. 318.47
B. 282.57 D. 257.83
 b. Determine the length of the curve in meters
A. 270 C. 290
B. 280 D. 300

c. Determine the stationing of the midpoint of the curve.

A. 34 + 848 C. 34 + 688
B. 34 + 658 D. 34 + 618

6. A downgrade of 3.2% meets a rising grade of 4.6% at sta 73 + 180 where the elevation is
998. A sag curve, 440 m long, connects the gradelines from A at the downgrade to B at the
upgrade.
Find the elevation of B in meters.
A. 1008 C. 1005
B. 1011 D. 1014

7. A compound curve has a common tangent 520 m long. The first curve passing through
the PC is a 3o curve with a central angle of 50o. Find the radius of the second curve if the central
angle is 35o.
A. 1084.3 C. 1143.7
B. 1265.2 D. 1204.3

8. The long chord from the PC to PT of a compound curve is 300 meters long and the
angles it makes with the longer and shorter tangents are 12o and 15o respectively. If the common
tangent is parallel to the long chord.
a. Find the radius of the first curve.
A. 802.36 m C. 805.42 m
B. 810.34 m D. 824.35 m

b. Find the radius of the second curve.

A. 500.23 m C. 514.55 m
B. 448.97 m D. 535.32 m

c. If stationing of PC is 10 + 204.30, find the stationing at PT.

A. 10 + 602 C. 10 + 550
B. 10 + 507 D. 10 + 615

9, Two parallel railway 200 m apart were to be connected by equal turnouts. If the intermediate
tangent is 400 m and the radius of the curve is 1100 m.
a. Determine the central angle of the reverse curve.
A. 16o16’ C. 17o17’
B. 18o18’ D. 15o15’

b. If the PC is at sta 20 + 460 find the sta of the middle of the intermediate tangent
A. 20 + 972.30 C. 20 + 821.20
B. 20 + 650.32 D. 20 + 745.89

c. Find the station of PT

A. 21 + 484.60 C. 21 + 324.23
B. 21 + 222.11 D. 21 + 467.12

10. Two parallel tangents are connected by a reversed curve having an equal radii of 360 m.
 a. If the central angle of the curve is 8o compute the distance between parallel tangents.
A. 6m C. 8m
B. 7m D. 9m

b. Compute the length of chord from the PC to the PT

A. 90.35 C. 110.35
B. 100.35 D. 120.35

c. If PC is at sta 3 + 960.40, what is the stationing at PT.

A. 4 + 040.94 C. 4 + 080.94
B. B. $ + 060.94 D. $ + 100.94

11. A symmetrical vertical summit curve has tangents of +4% and -2%. The allowable rate of
change of grade is 0.3% per meter staton. Stationing and elevation of PT is at 10 + 020 and
142.63 m respectively.
a. Compute the length of curve.
A. 100 m C. 300 m

B. 200 m D. 400 m

b. Compute the distance of the highest point of curve from PC.

A. 246.67 m C. 256.67 m
B. 236.67 m D. 266.67 m

c. Compute the elevation of the highest point of curve.

A. 113.97 C. 133.97
B. 123.97 D. 143. 97

12. An unsymmetrical parabolic curve has a forward tangent of -8% and a back tangent of +5%.
The length of curve on the left side of the curve is 40 m long while that of the right side is 60
m long. The PC is at station 6 + 780 and has an elevation of 110 m. An outcrop is found at
station 6 + 800 has an elevation of 108.40.
a. Compute the height of fill needed to cover the outcrop.
A. 2.21 m C. 4.21 m
B. 3.21 m D. 5.21 m

b. Compute the elevation of curve at station 6 + 820.

A. 100.44 m C. 120.4 m

B. 110.4 m D. 130.4 m

c. Compute the elevation of the highest point of the curve.

A. 90.642 m C. 110.642m
B. 100.642 m D. 120.642m