CE 420 – CE Practice with Comprehensive Examinations

Week 5 Module (Surveying, Transportation Engineering, Highway Engineering, Ports and

Harbor)

1. A 50 m steel tape was standardized and supported throughout its whole length and found to
be 0.00205 m longer at an observed temperature of 36.5°C and a pull of 15 kg. This tape was
used to measure a line which was found to be 574.5 m at an average temperature of 26.5°C
using 16 kg pull. The tape has a mass of 0.092 kg/m and was supported at its ends. Use
coefficient of expansion of 11.6x10-6 m/°C. Assume mass density of steel to be equal to 7850
kg/m3. What is the corrected distance?
a. 575.2415 m b. 576.5103 m
c. 572.5415 m d. 575.6103 m

2. Using the following notes, what is the elevation of BM11?

Station BS FS Elevation
BM10 6.11 169.69
1 8.83 1.24 215
2 7.72 3.11 215.59
3 9.86 4.25 214.07
4 8.77 4.22 219.71
5 9.45 3.75 224.56
6 7.23 13.22 220.79
BM11 7.21 228.52

a. 174.56 m b. 190.66 m
c. 183.75 m d. 180.28 m

SITUATION 1: A man’s eyes 2.5 m above sea level can barely see the top of a lighthouse which
is at a certain distance away from a man.
3. What is the elevation of the top of the lighthouse above sea level if the lighthouse is 22 km
away from the man?
a. 10.9752 m b. 17.0952 m
c. 15.9027 m d. 10.7592 m

4. How far is the lighthouse from the man if its top is 15m above sea level?
a. 20.9929 m b. 29.0992 m
c. 25.9366 m d. 27.6333 m

5. What is the height of the tower at a distance 20km away from a man that will just be visible
without the line of sight approaching nearer than 2m to the water?
a. 15.63 m b. 37.6 m
c. 28.8 m d. 14.66 m

SITUATION 2: A closed traverse of a triangular lot is tabulated as shown:

LINES BEARING DISTANCE
AB N 60 30’ W 68.75 m
O

BC N 80O30’ E 125.90 m
CA ---- ----

6. Compute the bearing of line CA.

a. N 43O23’ W b. S 50O03’ W
c. S 55O53’ E d. S 54O22’ W

7. Compute the distance of line CA.

a. 85.08 m b. 68.92 m
c. 90.63 m d. 77.90 m

CE-4202 | CE-4208 Prepared by: Engr. C. M. U. Olano Jr., RCE, RMP, SO-2
 CE 420 – CE Practice with Comprehensive Examinations
Week 5 Module (Surveying, Transportation Engineering, Highway Engineering, Ports and
Harbor)

SITUATION 3: In the two-peg test of a dumpy level, the following observations are taken:
Instrument Instrument
near A near B
Rod
Reading 1.501 0.903
on A
Rod
Reading 2.022 1.452
on B

7. Compute the true difference in elevation between two points.

a. 0.140 m b. 0.014 m
c. 0.535 m d. 0.355 m

8. Compute the error.

a. 0.140 m b. 0.014 m
c. 0.535 m d. 0.355 m

9. Compute the correct reading at B when the instrument is near A that will give a level line
of sight.
a. 1.566 m b. 3.56 m
c. 2.036 m d. 1.526 m

SITUATION 4: A 5-degree curve has an external distance of 11.5 m. Use arc basis.
10. What is the radius of the curve?
a. 229.18 m b. 219.82 m
c. 292.13 m d. 215.99 m

11. What is its central angle?

a. 35.57° b. 37.55°
c. 53.73° d. 57.35°

12. What is the length of the curve?

a. 154.63 m b. 172.24 m
c. 142.27 m d. 133.63 m

SITUATION 5: Find the area of a piece of land with an irregular boundary as follows:
STA OFFSET DISTANCE (m)
0 + 000 5.39
0 + 020 3.38
0 + 040 4.25
0 + 060 3.96
0 + 080 4.80
Stations are on a straight-line boundary. Find the area of the land in m2 using:
13. Trapezoidal Rule
a. 320.33 b. 330.23
c. 333.7 d. 373.3

14. Simpson’s 1/3 Rule.

a. 320.33 b. 330.23
c. 333.7 d. 373.3

CE-4202 | CE-4208 Prepared by: Engr. C. M. U. Olano Jr., RCE, RMP, SO-2
 CE 420 – CE Practice with Comprehensive Examinations
Week 5 Module (Surveying, Transportation Engineering, Highway Engineering, Ports and
Harbor)

15. The cross-section notes shown below are the ground excavation for a 10 m wide roadway.
Station 25 + 150:

7.85 0 8.45
+1.90 +3.20 +2.3
Station 25 + 300:

9.35 0 10.7
+2.90 +2.60 +3.80

Determine the volume of the earthwork using End Area Method.

a. 5337.63 b. 5904.23
c. 5975.33 d. 5932.35

SITUATION 6: In an observation post shows that 4 vehicles passes through the post at intervals
of 8 sec, 12 sec, 10 sec, and 13 sec, respectively. The speed of the vehicles was 89 kph, 90 kph,
88 kph and 95 kph, respectively.
16. Compute the time mean speed.
a. 117.21 kph b. 95.2 kph
c. 171.12 kph d. 90.5 kph

17. Compute the space mean speed if the distance traveled by the vehicles is 350 m.
a. 117.21 kph b. 95.2 kph
c. 171.12 kph d. 90.5 kph

18. If the density of traffic is 30 vehicles per km, compute the rate of flow of traffic in
vehicles/hr.
a. 3517 b. 3715
c. 3571 d. 3751

19. In the Pacific Ocean, near Surigao City, the depth of water is 0.43 km. What is the
approximate value of the wave speed of a tsunami, which will cause a wave length (between
the crest of wave) equal to 800 m?
a. 122.7 kph b. 111.63 kph
c. 127.2 kph d. 172.22 kph

20. What is the deep water wave length on Typhoon Neneng for a period of 7.84 seconds?
a. 95 m b. 59 m
c. 96 m d. 69 m

“If any of you lacks wisdom, let him ask God, who gives generously to all without reproach,
and it will be given him.”
-James 1:5

CE-4202 | CE-4208 Prepared by: Engr. C. M. U. Olano Jr., RCE, RMP, SO-2
 CE 420 – CE Practice with Comprehensive Examinations
Week 5 Module (Surveying, Transportation Engineering, Highway Engineering, Ports and
Harbor)

PROBLEMS FOR PRACTICE!

1. The distance from D to E, as measured, is 527.75m. If the 100m tape used is 0.03 too short,
what is the correct distance in m?
a. 527.61m b. 527.65
c. 527.59m d. 527.72

2. The sides of a square lot having an area of 4.45 hectares measured using a 75m tape that
was 0.03m too short. Compute the error in the area in m2.
a. 25 m2 b. 36 m2
c. 55 m2 d. 42 m2

3. The difference in elevation between B and C was taken by a survey party using different
trials and paths. Compute the probable elevation of point C if it is above point B and elevation
of point B is 850.
Diff. in
Distance
Trial Elevation
(km)
(m)
1 2 0.89
2 6 0.67
3 4 0.78
4 12 1.02

a. 850.476 m b. 850.629 m
c. 850.837 m d. 851.041 m

SITUATION 1: Megumi recorded 55, 49, 48, and 50 paces in walking along a 55-m course to
determine his pace factor. He then took 320, 322, 332, and 319 paces in walking an unknown
distance.
4. What is Megumi’s pace factor?
a. 1.502 b. 1.635
c. 0.918 d. 1.089

5. What is the length of the unknown distance?

a. 325.20 b. 355.20
c. 352.05 d. 305.22

6. If the distance from Brgy. Balagtas to Brgy. Alangilan is approximately 2.2 km, calculate the
approximate number of paces.
a. 2002 b. 2200
c. 2020 d. 2022

SITUATION 2: The tangents of a simple curve have bearings of N 60o E and S 60o E respectively.
The radius of the curve is 250m.
7. Compute for the angle of intersection of the curve.
a. 30o b. 60o
c. 45o d. 33.62o

8. Compute for the external distance of the curve.

a. 38.68m b. 35.60m
c. 33.65m d. 42.90m

CE-4202 | CE-4208 Prepared by: Engr. C. M. U. Olano Jr., RCE, RMP, SO-2
 CE 420 – CE Practice with Comprehensive Examinations
Week 5 Module (Surveying, Transportation Engineering, Highway Engineering, Ports and
Harbor)

9. Compute for the middle ordinate of the curve.

a. 26.72 b. 33.49
c. 30.19 d. 35.47

10. Compute for the length of the curve.

a. 267.85 b. 276.09
c. 255.98 d. 262.01

SITUATION 3: A simple curve connects two tangents AB and BC with bearings N 79o30’ E and S
56o30’ E respectively. If the stationing of the PC is 10+255.64 and the stationing of the Vertex is
10+360.68:
11. Determine the External distance.
a. 20.42 b. 16.82
c. 17.69 d. 22.65

12. Determine the Radius.

a. 245 b. 220
c. 280 d. 260

SITUATION 4: The center height of the road at station 7 + 110 is 2 m fill while at station 7 + 160
it is 1.2 m cut. The ground makes a uniform slope of 4.8%.
13. Compute the slope of the new road.
a. 0.016 b. 0.023
c. 0.011 d. 0.035

14. Find the stationing of the point where the fill is extended.
a. 71 + 147.74 b. 71 + 154.11
c. 71 + 132.53 d. 71 + 141.25

SITUATION 6:
The table shows a 15-minute volume counts during the peak hour on an approach of an
intersection.
Volume of
Time
Traffic
6:00-6:15 PM 375
6:15-6:30 PM 380
6:30-6:45 PM 412
6:45-7:00 PM 390
15. Determine the peak hour volume.
a. 1557 b. 1575
c. 1775 d. 1755
.
16. Determine the peak hour factor.
a. 0.549 b. 0.954
c. 0.945 d. 0.594

17. Determine the design hourly volume of the approach.

a. 1864 b. 1684
c. 1846 d. 1648

CE-4202 | CE-4208 Prepared by: Engr. C. M. U. Olano Jr., RCE, RMP, SO-2