A cantilevered retaining wall was originally designed with a base width of 3 m but it was
actually constructed with a base width of 1.8 m. The original design incorporated a
factor of safety of 2 and ignored passive pressure. Compute the new factor of safety
against overturning moment about the toe.
A. 1.63
B. 1.50
C. 1.37
D. 1.25
A cylindrical tank 80 cm in diameter and 90 cm high is filled with a liquid. The tank and
the liquid weighted 420 kg. The weight of the empty tank is 40 kg. What is the unit
weight of the liquid in kN/m3?
A. 8.24 kN/m3
B. 8.14 kN/m3
C. 8.54 kN/m3
D. 8.34 kN/m3
A 25 mm long smooth brass pipe 300 m long drains an open 1.2 m cylindrical tank
which contains oil having density = 950 kg/m^3 and dynamic viscosity of 0.03 N.s/m^2.
The pipe discharges at an elevation of 30 m. Determine the time required in hours for
the oil level to drop from elevation 36 to elevation 32.5 m.
A. 22.9 hrs
B. 29.6 hrs
C. 27.7 hrs
D. 20.4 hrs
An open cylindrical tank having a radius of 0.30 m and a height of 1.20 m is filled with
water at a depth of 0.90 m. How fast will it be rotated about its vertical axis if half of its
volume is spilled out?
A. 191.54 rpm
B. 178.34 rpm
C. 156.21 rpm
D. 145.84 rpm
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A soil sample was compacted. The result of the standard proctor test shows that at
100% compaction, the soil weighs 131.1 pcf with optimum moisture content of 14%.
What is the saturated unit weight of the soil in pcf? use G=2.67
A. 135.33 pcf
B. 134.32 pcf
C. 132.32 pcf
D. 133.23 pcf
Two footings rest in a layer of sand 2.7 m thick. The bottom of the footings is 0.90 m
below the ground surface. Beneath the sand, layer is a 1.8 m clay layer. Beneath the clay
layer is a hardpan. The water table is at a depth of 1.8 m below the ground surface.
Determine the settlement beneath footing A.
A. 56.75 mm
B. 54.18 mm
C. 82.11 mm
D. 46.65 mm
If the specific weight of a liquid is 8.1kN/m38.1kN/m3. What is the specific gravity of
the liquid?
A. 0.92
B. 0.60
C. 0.83
D. 0.75
A soil sample has a water content of 20% and moist unit weight of 18 kN/m3. The
specific gravity of the solid is 2.65. What is the void ratio of the soil?
A. 0.73
B. 0.71
C. 0.70
D. 0.67
A 300 mm diameter test well penetrates 27 m below the static water table. After 24
hours of pumping at 69 lit/sec. The water level is in an observation well at a distance of
98 m from the test well is lowered 0.56 m and the other observation well at a distance of
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34.5 m from the test well, the drawdown is 1.10 m. Compute the transmissibility of
the aquifer in square meters per day
A. 1843.34 square meters per day
B. 1834.34 square meters per day
C. 1864.34 square meters per day
D. 1884.43 square meters per day
Find the mass density of air at 310 kPa absolute and at temperature of 33 oC.
A. 4.56 kg/ m3
B. 3.53 kg/ m3
C. 2.54 kg/ m3
D. 4.67 kg/ m3
A rectangular gate 1.5 m wide and 3 m high is vertically submerged in water with its top
edge horizontal and 2 m below the water surface. Find the location of the force acting
on one side of the gate, from the liquid surface in meters.
A. 2.214 m
B. 1.5 m
C. 3.714 m
D. 2 m
Specifications on a job required a fill using borrowed soil to be compacted at 95% of its
standard Proctor maximum dry density. Tests indicate that the maximum is 19.5 kN/m3
with 12% moisture. The borrow material has a void ratio of 0.60 and a solid specific
gravity of 2.65. Find the required minimum volume of borrow soil required to fill one
cubic meter.
A. 1.14 3
B. 1.38 3
C. 1.65 3
D. 1.29 3
A uniform soil deposit has a dry unit weight of 15.6kN/m3 and a saturated unit weight
of 17.2kN/m3. The groundwater table is at a distance of 4 m below the ground surface.
What will happen to the effective stresses at A if the ground water surface will rise up
the ground surface?
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A. Unchanged
B. Increase
C. Remain
D. Decrease
A clay sample has a unit weight of 21.1 kN/m3 at a moisture content of 9.80%. When
completely saturated with water, its unit weight is 22.58 kN/m3. What is the porosity of
the soil?
A. 34.3%
B. 33.4%
C. 32.4%
D. 33.3%
Water from a reservoir flowing through a pipe having a diameter of 600 mm with a
velocity of 1.75 m/s is completely stopped by a closure of a valve situated 150 m from
the reservoir. Assume that the pressure increases at a uniform rate and there is no
damping of the pressure wave. The pipe has a thickness of 20 mm and bulk modulus of
water is 2.2 x 10 9 N/m2 and modulus of elasticity of the steel is 1.4 x 1011N/m2. Compute
the pressure on the pipe after the closure of the valve.
A. 2240.52 Kpa
B. 2240.25 Kpa
C. 2140.52 Kpa
D. 2140.25 Kpa
A consolidated drained triaxial test was conducted on a normally consolidated clay. The
results as follows: Chamber confining pressure: 138 kPa Deviator Stress = 258 kPa.
Compute the shear stress at failure.
A. 112.95 kPa
B. 137.15 kPa
C. 108.53 kPa
D. 111.31 kPa
The specific gravity of certain oil is 0.82. What is its specific weight?
A. 51.168 lb/ft3
B. 51.168 kN/m3
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C. 8.44 lb/ft3
D. 8.44 kN/m3
A solid block having a sp. gr. of 3.5 is placed in a container containing liquid having sp.
gr. of 13.6. If the volume of the block is 0.020 cu.m, obtain the weight of the block in kN.
A. 0.678
B. 0.768
C. 0.567
D. 0.687
A reservoir of glycerin has a mass of 1, 200 kg and a volume of 0.952 cu. m. What is its
mass density, ρ.
A. 1, 000 kg/m3
B. 9, 810 kg/m3
C. 1, 260.5 kg/m3
D. 1, 23.67 kg/m3
A cylindrical container 8 m long high and 3 m in diameter is reinforced with two hoops 1
m from each end. Determine the tension at the lower end.
A. 256.64 kN
B. 475.59 kN
C. 483.37 kN
D. 340.08 kN
A cohesive soil specimen has a shearing resistance equal to 28 degrees and a cohesion
of 32. If the maximum shearing stress of the soil sample is equal to 64 kPa.
Compute the normal stress at the point of max shear.
A. 12.14 kPa
B. 140.14Kpa
C. 76.14 Kpa
D. 128 kPa
Air is kept at a pressure of 200 kPa absolute and a temperature of 30 oC in a 500-liter
container. What is the mass of air?
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A. 2.05 kg
B. 3.15 kg
C. 1.15 kg
D. 4.05 kg
A hand-carved sample of soft saturated clay weighs 350 grams and has a volume of 200
cc. After oven drying, it weighs 240 grams. What is the specific gravity of the solid?
A. 2.76
B. 2.67
C. 2.57
D. 2.75
An irrigation canal with trapezoidal cross-sections has the following dimensions: Bottom
width = 2 m, depth of water = 0.90 m, side slope is 1.5 horizontal to vertical, slope of
canal bed = 0.001, coefficient of roughness = 0.025. The canal will serve clay-loam
Riceland for which the duty of water per hectare is 3 liters per hectare. Determine the
hydraulic radius of the canal in liters.
A. 0.775
B. 0.575
C. 0.757
D. 0.557
A cylindrical container 8 m long high and 3 m in diameter is reinforced with two hoops 1
m from each end. Determine the tension at the upper end.
A. 135.3 kN
B. 130.8 kN
C. 141.6 kN
D. 164.9 kN
A reservoir of glycerin has a mass of 1, 200 kg and a volume of 0.952 cu. m. Find its unit
weight, λ.
A. 11. 77 kN/m3
B. 12. 37 kN/m3
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C. 12. 61 kN/m3
D. 11, 000.42 kg/m3
A concrete pile having a diameter of 0.30 m is to be driven into a loose sand having a
unit weight of 20 kN/ cu m. The pile has a length of 12 m. The coefficient of friction
between the sand and pile is 0.4. Bearing capacity factor Nq = 80. The shaft lateral
pressure factor K is equal to 0.90. The allowable load of the pile is 170 kN.
Compute the ultimate frictional capacity.
A. 211.7
B. 220
C. 216.8
D. 213.8
A gage pressure at elevation 6 m at the side of a tank containing a liquid reads 80 kPa.
Another gage at elevation 4 m reads 100 kPa. What is the specific gravity of the liquid?
A. 1.02
B. 1.04
C. 1.21
D. 1.14
A rectangular channel is 6.2 m wide by 1.2 m deep is lined with a smooth stone, well laid
and
has
a
hydraulic
slope
of
0.001.
Using
n
=
0.013.
What savings in lining per meter length by using more favorable proportions but
adhering to the same delivery and slope?
A. 1.092 m2/m
B. 2.192 m2/m
C. 2.092 m2/m
D. 1.192 m2/m
What pressure is required to reduce the volume of water by 0.6 percent? EB = 2.2 GPa.
A. 0.0132 MPa
B. 13.2 MPa
C. 36.6 MPa
D. 0.0366 MPa
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An open cylindrical vessel 1.3 m in diameter and 2.1 m high is 2/3 full of water. If rotated
about the vertical axis at a constant angular speed of 90 rpm. Determine how high is the
pararboloid formed of the water surface in meter.
A. 1.91 m
B. 1.81 m
C. 1.29 m
D. 0.92 m
A rectangular channel 5.5 m wide by 1.3 m deep in line with a smooth stone, well laid
and has a hydraulic slope of 0.002. Using n =0.013. What savings in lining per meter
length by using more favorable proportions but adhering to the same delivery and
slope?
A. 0.664 m2/m
B. 1.664 m2/m
C. 0.406 m2/m
D. 1.406 m2/m
When the path lines of the individual particles of a flowing liquid are irregular curves
and continually cross each other and form a complicated network, the flow is called
_________.
A. Turbulent
B. Continuous
C. Laminar
D. Uniform
A consolidated drained triaxial test was conducted on a normally consolidated clay. The
results as follows: Chamber confining pressure: 138 kPa Deviator Stress = 258 kPa.
Compute the friction angle of the soil.
A. 35.15 o
B. 28.89 o
C. 21.07 o
D. 32.55 o
A valve is suddenly closed in a 200 mm dia pipe. The increase in pressure is 700 kPa.
Assuming that the pipe is rigid and the bulk modulus of water is 2.07 x 109 N/m2.
Compute the velocity of flow.
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A. 0.155 m/s
B. 0.0482 m/s
C. 0.486 m/s
D. 0.154 m/s
An orifice has a coefficient of discharge of 0.62 and a coefficient of contraction of 0.63.
Find the coefficient of velocity for the discharge.
A. 0.984
B. 0.655
C. 0.800
D. 0.884
A dense silt layer has the following properties:
Void ratio e = 0.40
Effective diameter d10 = 10 micrometers
Capillary constant C = 0.20 sq cm
Free ground water level is 8.0 m below the ground surface.
Find the vertical effective stress at 10 depth. Assume unit weight of saturated soil equal
to 26.5 kN/m^3 and capillary action rise and ground surface is partially saturated at
50%.
A. 277.55
B. 261.18
C. 239.46
D. 205.29
A 0.30 m x 0.30 m concrete pile 20 m long is driven in a clayey soil having an unconfined
compressive strength of 110 kN/m2. The unit weight of the clayey soil is 18 kN/m3.
Frictional constant is 0.76 due to skin friction. Assume a factor of safety equal to 2.0 and
a
bearing
capacity
factor
Nc =
9.
Compute the design capacity of the concrete pile.
A. 532.08kN
B. 523.88kN
C. 523.08kN
D. 532.88kN
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At 32 oC and 205 kPa gage, the specific weight of a certain gas was 13.7 N/m 3.
Determine the gas constant of this gas.
A. 718.87 J/kg - oR
B. 139.7 J/kg - oR
C. 306.325 J/kg - oR
D. 821.78 J/kg - oR
The moist weight of 0.2 ft3 of a soil is 23 lb. The moisture content and the specific
gravity of soil solids determined in the laboratory to be 11 % and 2.7 respectively. What
is the moist unit weight in lbs/ft3?
A. 115 lbs/ft3
B. 125 lbs/ft3
C. 107 lbs/ft3
D. 118 lbs/ft3
A hollow cylinder 1.0 m in diameter and 2.8 m long weighs 3.84 kN. Determine the
weight of lead (unit weight = 110 kN/m3)must be fastened to the outside bottom to
make the cylinder float vertically with 2.3 m submerged in freshwater.
A. 17.54
B. 12.70
C. 18.55
D. 15.25
This refers to the overflowing stream in a weir.
A. Suppressed
B. Contracted
C. Head
D. Nappe
A soil sample has a mass of 1830 g taken from the field having a volume of 1 x 10 -3 m3.
It has a sp.gr. of 2.60 and a water content of 10%. Value of emax = 0.62 and emin = 0.43.
Compute the dry unit weight.
A. 1446 kg/m3
B. 1646 kg/m3
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C. 1664 kg/m3
D. 1464 kg/m3
A sample of sand above the water table was found to have a natural moisture content of
15% and a unit weight of 120 pcf. Laboratory tests on a dried sample indicated values
of emin=0.50emin=0.50 and emax=0.85emax=0.85 for the densest and loosest states
respectively. Find the void ratio.
A. 0.788
B. 0.645
C. 0.587
D. 0.609
A rectangular irrigation canal is 6 m wide contains water 1 m deep. It has a hydraulic
slope of 0.001 and a roughness coefficient of 0.013. Evaluate the discharge in the canal
in cumecs.
A. 16.7 cumecs
B. 20.1 cumecs
C. 14.6 cumecs
D. 12.06 cumecs
A rectangular channel is 6.2 m wide by 1.2 m deep is lined with a smooth stone, well laid
and
has
a
hydraulic
slope
of
0.001.
Using
n
=
0.013.
What savings in earth excavation could have been offered by using more favorable
proportions but adhering to the same delivery and slope?
A. 0.3937 m2
B. 0.2739 m2
C. 0.4201 m2
D. Not possible
A device used to measure pressure heads in pipes where the liquid is in motion.
A. Piezometer
B. Manometer
C. Barometer
D. U tube
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An irrigation canal with trapezoidal cross-sections has the following dimensions: Bottom
width = 2 m, depth of water = 0.90 m, side slope is 1.5 horizontal to vertical, slope of
canal bed = 0.001, coefficient of roughness = 0.025. The canal will serve clay-loam Rice
land for which the duty of water per hectare is 3 liters per hectare. Determine the
number of ha served by the irrigation canal.
A. 879 ha
B. 897 ha
C. 769 ha
D. 987 ha
An irrigation canal with trapezoidal cross-sections has the following dimensions: Bottom
width = 2 m, depth of water = 0.90 m, side slope is 1.5 horizontal to vertical, slope of
canal bed = 0.001, coefficient of roughness = 0.025. The canal will serve clay-loam Rice
land for which the duty of water per hectare is 3 liters per hectare. Determine the
velocity of the water in m/sec.
A. 0.784 m/s
B. 0.674 m/s
C. 0.874 m/s
D. 0.764 m/s
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