EERC
MANILA – BAGUIO - LEGAZPI
First Pre-board Examination
Saturday, September 14, 2024 1 pm. — 5:00 p.m.
HYDRAULICS AND GEOTECHNICAL ENGINEERING
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. GOOD LUCK.
NOTE: A times B is represented by A × B or A*B. A raised to the power n is expressed as
A^n. All problems are 1 point each.
SITUATION 1: Determine the rate of flow, in m 3/sec, into or out of each reservoir in the
pipe system shown in the figure. Elevation shows are in meters. For the pipes, the
roughness coefficient is n =0.013.
Pipeline Length(m) Diameter(mm)
1 1120 300
2 900 200
3 1500 150
1. Determine the rate of flow into or out of the reservoir of lowest elevation.
a. 0.0144 c. 0.0118
b. 0.0209 d. 0.0163
2. Determine the rate of flow into or out of the reservoir of intermediate elevation.
a. 0.0253 c. 0.0296
b. 0.0194 d. 0.0228
3. Determine the rate of flow into or out of the reservoir of the highest elevation.
a. 0.0351 c. 0.0462
b. 0.0372 d. 0.0403
4. A rectangular scow 9 m wide, 15 m long, and 3.60 m high has a draft in seawater of
2.40 m. Its center of gravity is 2.70 m above the bottom of the scow. Which of the
following most nearly gives the initial metacentric height?
a. 1.41 m c. 1.25 m
b. 1.31 m d. 1.32 m
5. An oil of sp.gr. of 0.95 flows at 200 liters/sec. through a 500 m. of 200 mm diameter
pipe (f = 0.0225). Evaluate the pressure drop in kPa if the pipe slopes at 10 ̊ in
the direction of flow.
a. 86.82 c. 29.38
b. 274 d. 116.2
SITUATION 2. A cylindrical tank 2 m in diameter and 4 m long, with its axis horizontal,
is half filled with water and half filled with oil of density 880 kg -m3. Determine
the magnitude and position of the net hydrostatic force on one end of the tank.
6. Determine the magnitude of the hydrostatic force.
a. 27.9 kN c. 24.5 kN
b. 20.1 kN d. 16.1 kN
7. Determine the location of the force from the top.
a. 1.34 m c. 1.14 m
b. 1.26 m d. 1.42 m
8. If the tank is positioned vertically, determine the force acting on the bottom.
a. 125.40 kN c. 115.88 kN
b. 155.32 kN d. 109.52 kN
9. A cohesive soil deposit is considered soft if the unconfined compression strength in
kPa is between:
a. 0 to 24 c. 48 to 96
b. 24 to 48 d. 96 to 192
Engineers
This study Esplana,
source was downloaded Realuyo and
by 100000899606070 Co.
from CourseHero.com on 03-06-2026 22:42:09 GMT -06:00
Engr. MAL Page 1 of 6
https://www.coursehero.com/file/241250155/EERC-HGE-PR-1-with-Answerspdf/
, First Pre-board Examination
Saturday, September 14, 2024 1 pm. — 5:00 p.m.
HYDRAULICS AND GEOTECHNICAL ENGINEERING
10. A rectangular tank of internal width 7 m, partitioned as shown, contains oil and
water. Assume unit weight is 9.79 kN/m 3. If a 900 N block of wood is floated in oil,
what is the rise in the free surface of the water in contact with air?
a. 6.25 mm c. 10.21 mm
b. 8.54 mm d. 2.34 mm
SITUATION 3. A soil profile consists of dry sand and clay being the latter as the bottom
layer. The groundwater table is initially located at the interface of the two soils. The
sand has e = 0.65. Gs= 2.66 and H= 3 m while the clay has e=0.90. Gs = 2.75, H= 11m, LI=
42.4% and PL 20%.
11. Determine the compression index
a. 0.43 c. 0.51
b. 0.36 d. 0.22
12. Determine the effective stress increase with the water table lowered by 5 m.
a. 25.8 kPa c. 93.3 kPa
b. 63.9 kPa d. 30.7 kPa
13. Determine the settlement.
a. 248.8 mm c. 409.6 mm
b. 457.8 mm d. 213.4 mm
14. A cylindrical bucket 200mm in diameter and 300 mm high is 2/3 full of water. It is
swung in a vertical plane so that the bottom of the bucket describes a radius of 1 m.
How fast should the bucket be rotated in rpm so that no water is spilled? Neglect the
weight of the bucket.
a. 19.81 c. 31.52
b. 189.17 d. 3.30
15. In order to provide water from a nearby spring, a triangular flume of efficient
cross-section was provided on a slope of 0.21%. Assuming the roughness coefficient of
the channel to be n = 0.018. Calculate the depth of flow in meters of the water in
the flume if it is discharging at the rate of 2 m 3/s.
a. 1.05 m c. 1.33 m
b. 1.18 m d. 1.27 m
16. A spherical balloon 6 m in diameter is filled with gas weighing 5 N/m 3 in air, what
is the maximum load in N excluding its own weight that the balloon can lift?
a. 1357 c. 792
b. 565 d. 1923
SITUATION 4: Following are the result of two direct shear test on a normally consolidated
clay:
Diameter of specimen = 50 mm
Test No. Normal Force P(N) Shear Force at Failure, V
(N)
1 265 130
2 410 185
Evaluate the following:
17. The angle of internal friction in degrees.
a. 28.5 ` c. 20.8
b. 30.6 d. 22.4
18. The cohesion of the soil in kPa.
a. 18.54 ` c. 16.32
This study source was downloaded by 100000899606070 from CourseHero.com on 03-06-2026 22:42:09 GMT -06:00
Engineers Esplana, Realuyo and Co.
Engr. MAL
https://www.coursehero.com/file/241250155/EERC-HGE-PR-1-with-Answerspdf/ Page 2 of 6
MANILA – BAGUIO - LEGAZPI
First Pre-board Examination
Saturday, September 14, 2024 1 pm. — 5:00 p.m.
HYDRAULICS AND GEOTECHNICAL ENGINEERING
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. GOOD LUCK.
NOTE: A times B is represented by A × B or A*B. A raised to the power n is expressed as
A^n. All problems are 1 point each.
SITUATION 1: Determine the rate of flow, in m 3/sec, into or out of each reservoir in the
pipe system shown in the figure. Elevation shows are in meters. For the pipes, the
roughness coefficient is n =0.013.
Pipeline Length(m) Diameter(mm)
1 1120 300
2 900 200
3 1500 150
1. Determine the rate of flow into or out of the reservoir of lowest elevation.
a. 0.0144 c. 0.0118
b. 0.0209 d. 0.0163
2. Determine the rate of flow into or out of the reservoir of intermediate elevation.
a. 0.0253 c. 0.0296
b. 0.0194 d. 0.0228
3. Determine the rate of flow into or out of the reservoir of the highest elevation.
a. 0.0351 c. 0.0462
b. 0.0372 d. 0.0403
4. A rectangular scow 9 m wide, 15 m long, and 3.60 m high has a draft in seawater of
2.40 m. Its center of gravity is 2.70 m above the bottom of the scow. Which of the
following most nearly gives the initial metacentric height?
a. 1.41 m c. 1.25 m
b. 1.31 m d. 1.32 m
5. An oil of sp.gr. of 0.95 flows at 200 liters/sec. through a 500 m. of 200 mm diameter
pipe (f = 0.0225). Evaluate the pressure drop in kPa if the pipe slopes at 10 ̊ in
the direction of flow.
a. 86.82 c. 29.38
b. 274 d. 116.2
SITUATION 2. A cylindrical tank 2 m in diameter and 4 m long, with its axis horizontal,
is half filled with water and half filled with oil of density 880 kg -m3. Determine
the magnitude and position of the net hydrostatic force on one end of the tank.
6. Determine the magnitude of the hydrostatic force.
a. 27.9 kN c. 24.5 kN
b. 20.1 kN d. 16.1 kN
7. Determine the location of the force from the top.
a. 1.34 m c. 1.14 m
b. 1.26 m d. 1.42 m
8. If the tank is positioned vertically, determine the force acting on the bottom.
a. 125.40 kN c. 115.88 kN
b. 155.32 kN d. 109.52 kN
9. A cohesive soil deposit is considered soft if the unconfined compression strength in
kPa is between:
a. 0 to 24 c. 48 to 96
b. 24 to 48 d. 96 to 192
Engineers
This study Esplana,
source was downloaded Realuyo and
by 100000899606070 Co.
from CourseHero.com on 03-06-2026 22:42:09 GMT -06:00
Engr. MAL Page 1 of 6
https://www.coursehero.com/file/241250155/EERC-HGE-PR-1-with-Answerspdf/
, First Pre-board Examination
Saturday, September 14, 2024 1 pm. — 5:00 p.m.
HYDRAULICS AND GEOTECHNICAL ENGINEERING
10. A rectangular tank of internal width 7 m, partitioned as shown, contains oil and
water. Assume unit weight is 9.79 kN/m 3. If a 900 N block of wood is floated in oil,
what is the rise in the free surface of the water in contact with air?
a. 6.25 mm c. 10.21 mm
b. 8.54 mm d. 2.34 mm
SITUATION 3. A soil profile consists of dry sand and clay being the latter as the bottom
layer. The groundwater table is initially located at the interface of the two soils. The
sand has e = 0.65. Gs= 2.66 and H= 3 m while the clay has e=0.90. Gs = 2.75, H= 11m, LI=
42.4% and PL 20%.
11. Determine the compression index
a. 0.43 c. 0.51
b. 0.36 d. 0.22
12. Determine the effective stress increase with the water table lowered by 5 m.
a. 25.8 kPa c. 93.3 kPa
b. 63.9 kPa d. 30.7 kPa
13. Determine the settlement.
a. 248.8 mm c. 409.6 mm
b. 457.8 mm d. 213.4 mm
14. A cylindrical bucket 200mm in diameter and 300 mm high is 2/3 full of water. It is
swung in a vertical plane so that the bottom of the bucket describes a radius of 1 m.
How fast should the bucket be rotated in rpm so that no water is spilled? Neglect the
weight of the bucket.
a. 19.81 c. 31.52
b. 189.17 d. 3.30
15. In order to provide water from a nearby spring, a triangular flume of efficient
cross-section was provided on a slope of 0.21%. Assuming the roughness coefficient of
the channel to be n = 0.018. Calculate the depth of flow in meters of the water in
the flume if it is discharging at the rate of 2 m 3/s.
a. 1.05 m c. 1.33 m
b. 1.18 m d. 1.27 m
16. A spherical balloon 6 m in diameter is filled with gas weighing 5 N/m 3 in air, what
is the maximum load in N excluding its own weight that the balloon can lift?
a. 1357 c. 792
b. 565 d. 1923
SITUATION 4: Following are the result of two direct shear test on a normally consolidated
clay:
Diameter of specimen = 50 mm
Test No. Normal Force P(N) Shear Force at Failure, V
(N)
1 265 130
2 410 185
Evaluate the following:
17. The angle of internal friction in degrees.
a. 28.5 ` c. 20.8
b. 30.6 d. 22.4
18. The cohesion of the soil in kPa.
a. 18.54 ` c. 16.32
This study source was downloaded by 100000899606070 from CourseHero.com on 03-06-2026 22:42:09 GMT -06:00
Engineers Esplana, Realuyo and Co.
Engr. MAL
https://www.coursehero.com/file/241250155/EERC-HGE-PR-1-with-Answerspdf/ Page 2 of 6
