A triaxial test is conducted on a clay specimen and the following results were obtained: cohesion = 32kPa, angle of internal friction = 28°, shearing stress at failure plane = 61 kPa.
1. What is the maximum normal stress in kPa?
A. 114
B. 69
C. 147
D. 156
2. What is the confining stress in kPa?
A. 23.6
B. 17.8
C. 11.2
D. 32.7
3. What is the normal stress at failure plane?
A. 60.2
B. 54.5
C. 45.3
D. 72.8
Solution:
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A 4.2m thick layer of sand is underlain by a layer of clay. The water table is 2m below the ground (sand) surface. For sand, Gs = 2.65 and the average void ratio is 0.52. The sand above water table has a degree of saturation of 0.37. The saturated nit weight of the clay layer is 20.2 kN/m3.
1. Determine the unit weight of sand above water table in kN/m3
A. 17.86
B. 20.46
C. 10.65
D. 18.35
2. Determine the total stress at a point 10m below the ground.
A. 199 kPa
B. 123 kPa
C. 232 kPa
D. 167 kPa
3. Determine the effective stress at a point 10m below the ground.
A. 134.5 kPa
B. 120.4 kPa
C. 156.9 kPa
D. 111.1 kPa
Solution:
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A confined aquifer is shown. This aquifer has a source of recharge located as shown. The hydraulic conductivity of the aquifer is 40m/day with porosity of 25%. The piezometric (head) surface in the two observation wells 1250m apart are at elevation 65m and 60m, respectively from the common datum. The aquifer has an average thickness of 25m and an average width of 4km.
1. Determine the nearest value to the rate of flow of water through the aquifer, in cubic meters per day.
A. 14,000
B. 16,000
C. 18,000
D. 15,000
2. Determine the nearest value to the seepage velocity in m/day.
A. 0.76
B. 0.42
C. 0.54
D. 0.64
3. Determine the nearest value to the time of travel from the head of aquifer to a point 3.4km downstream, in days.
A. 4876
B. 6325
C. 5313
D. 5874
Solution:
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A soil sample taken from subgrade have a density of 1900 kg/m3 with moisture content of 11%. Laboratory tests reveals that the soil solids have density of 2660 kg/m3 and the maximum and minimum void ratios of the soil mass are 0.63 and 0.44, repectively.
1. Determine the nearest value to the dry unit weight of the soil in kN/m3.
A. 17.4
B. 16.8
C. 16.1
D. 18.3
2. Determine the relative density of the sample.
A. 0.554
B. 0.654
C. 0.425
D. 0.722
3. Determine the relative density of the sample.
A. 0.63
B. 0.54
C. 0.40
D. 0.48
Solution:
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A 3-m square plate is immersed in water in a vertical position such that the two edges of the square are horizontal. The immersion is such that the center of pressure on the plate is 10cm from its center of gravity.
1. Determine the distance from the water surface to the center of pressure.
A. 6.5m
B. 6.75m
C. 7.5m
D. 6m
2. Determine the distance from the water surface to the center of pressure.
A. 7.6m
B. 7.5m
C. 6.6m
D. 6.5m
3. Determine the distance from the water surface to the center of pressure.
A. 662 kN
B. 612 kN
C. 856 kN
D. 587 kN
Solution:
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A conical tank with lower base radius of 35cm and 65cm tall contains 0.025m3 of water.
1. What is the total volume of the tank in m3?
A. 0.0912
B. 0.0732
C. 0.0834
D. 0.0891
2. What is the depth of water in the tank in meters?
A. 0.0672
B. 0.0789
C. 0.0728
D. 0.0842
3. How much water must be added to fill the tank in m3?
A. 0.0482
B. 0.0583
C. 0.0641
D. 0.06621
Solution:
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A calibration test of a 0.00785-m2 circular sharp-edged orifice in a vertical side of a large tank showed a discharge of 22,300 N of water in 1minute & 40 seconds at a constant head of 1.20m. Measurement of the jet showed that it traveled 1.92m horizontally while dropping 0.8m.
1. Determine the coefficient of discharge.
A. 0.621
B. 0.597
C. 0.649
D. 0.721
2. Determine the coefficient of velocity.
A. 0.84
B. 0.93
C. 0.74
D. 0.98
3. Determine the coefficient of contraction.
A. 0.77
B. 0.97
C. 0.61
D. 0.67
Solution:
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A 1.6kg soil specimen have a volume of 1 x 10-3 m3 and moisture content of 12%. Specific gravity of soil solids is 2.5.
1. What is the dry density of this soil in kg/m3?
A. 1356
B. 1567
C. 1429
D. 1632
2. What is the void ratio of this soil?
A. 85%
B. 78%
C. 75%
D. 72%
3. What is the degree of saturation?
A. 40%
B. 35%
C. 30%
D. 45%
Solution:
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Water is flowing in a 200-mm diameter rigid pipe that is 650m long. The increase in pressure caused by instantaneous closure of the valve near the exit is 700kPa. Bulk modulus of elasticity of water is 2.07 x 109 Pa.
1. What is the celerity of pressure wave in m/s?
A. 1439
B. 1621
C. 1256
D. 1176
2. What is the maximum discharge in m3/s?
A. 0.0188
B. 0.0279
C. 0.0232
D. 0.0153
3. What water hammer pressure is expected if the valve is closed in 3 seconds?
A. 289kPa
B. 187kPa
C. 342kPa
D. 211kPa
Solution:
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Given the following laboratory result of a sub grade material:
γdmax = 1.735 g/cc Wet weight = 2200 g
MCmax = 15.75% Dry weight = 1879 g
Volume of soil = 1130 cc
1. Determine the dry unit weight of the soil in grams/cc.
A. 1.66
B. 1.95
C. 1.82
D. 1.54
2. Determine the moisture content in percent.
A. 15.4%
B. 17.1%
C. 21.8%
D. 19.3%
3. Determine the percent compaction and indicate whether it is adequate as subgrade material.
A. >95.6% yes
B. <93%, no
C. <95.6%, no
D. >93% yes
Solution:
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In a triaxial test on a cohesionless soil, the soil fails when the deviator stress is 250kPa and the angle of failure plane is 60° with the horizontal.
1. What is the normal stress at failure in kPa?
A. 123.7
B. 145.9
C. 154.2
D. 187.5
2. What is the shearing stress at failure in kPa?
A. 108.3
B. 112.8
C. 132.5
D. 124.4
3. What is the confining pressure in kPa?
A. 100
B. 125
C. 130
D. 115
Solution:
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A clay sample has a plastic limit of 8% and liquid limit 58%
1. Which of the following is measured by plastic limit and liquid limit?
A. Liquidity index
B. Water content
C. Plasticity index
D. Shrinkage index
2. Determine the plasticity index of the clay.
A. 55
B. 45
C. 35
D. 50
3. Determine the liquidity index if the natural moisture content is 30%
A. 0.44
B. 0.54
C. 0.36
D. 0.61
Solution:
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The grain-size curves for soils A and B. It is required to classify the soils according to the Unified Soil Classification System. Use the attached USCS-54.
1. Which of the following classifies soil A?
A. SW
B. SP
C. GP
D. GW
2. Which of the following classifies soil B?
A. GP
B. SC
C. SP
D. GC
3. Which of the following classifies soil C?
A. SP
B. SC
C. SM
D. SW
|
SIEVE ANALYSIS
|
| Sieve
No. |
Diameter
Mm |
Percent Passing |
| Soil A |
Soil B |
Soil C |
| 4 |
4.760 |
90 |
100 |
95 |
| 8 |
2.380 |
60 |
96 |
82 |
| 10 |
2.000 |
54 |
95 |
78 |
| 20 |
0.850 |
31 |
87 |
60 |
| 40 |
0.425 |
20 |
65 |
30 |
| 60 |
0.250 |
14 |
42 |
14 |
| 100 |
0.150 |
9 |
15 |
10 |
| 200 |
0.074 |
4 |
0 |
8 |
| |
LL |
|
|
40% |
| |
PL |
|
|
15% |
Solution:
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A dense silt layer has the following properties: void ratio = 0.50, effective diameter d10 = 10 μm, capillary constant C =0.20cm2. Free ground water level is 8.0 m below the ground surface.
1. Find the height of capillary rise the silt. Capillary rise is given as h = C/(exd10)
A. 3m
B. 2m
C. 4m
D. 5m
2. Find the vertical effective stress in kPa at 6m depth. Assume unit weight of solids=26.4 kN/m3 and that the soil above the capillary action rise and ground surface is partially saturated at 50%.
A. 145.6
B. 138.3
C. 118.7
D. 126.2
3. What is the savings in lining (per meter length of canal) if the most efficient section is used for the same discharge and slope.
A. 205
B. 267
C. 224
D. 238
Solution:
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A cylindrical mold 5” in diameter is filled with silt to height H1 = 0.2 ft, whose coefficient of permeability k1 = 3.6 x 10-4 ft/min.
A second coaxial mold is placed on top of the first mold whose inside diameter is d = 1.5” and whose height is H2 = 0.40 ft. Its thickness is negligible. The inside of this second mold is filled with the same silt, but the annular ring outside the small tube and outer tube is filled with sand whose coefficient of permeability is k2 = 2.7×10-3 ft/min.
The test set-up is permeameter of constant head. Water is placed in the mold and maintained at a level h=1.6 ft. above the level of the outlet. It may be considered that the system consists of a fictitious soil of thickness H = H1 + H2 and coefficient of permeability kf.
The following general equations may be useful:
1. What is the total flow of water in ft3/min?
A. 2.47×10-4 ft3/min
B. 1.85×10-4 ft3/min
C. 3.54×10-4 ft3/min
D. 2.94×10-4 ft3/min
2. What is the equivalent coefficient of permeability, kf, in ft/min?
A. 9.632×10-4 ft/min
B. 7.442×10-4 ft/min
C. 8.083×10-4 ft/min
D. 5.452×10-4 ft/min
3. What is the total amount of water that percolated after 45 minutes?
A. 315 cc
B. 236 cc
C. 375 cc
D. 458 cc
Solution:
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A rectangular canal 5.7m wide and 1.4m deep has a roughness coefficient of 0.013 and is laid on a slope of 0.002
1. Determine the capacity of the canal when flowing full.
A. 22.56 m3/s
B. 26.32 m3/s
C. 29.87 m3/s
D. 32.12 m3/s
2. What is the savings in excavation volume (per meter length of canal) if the most efficient section is used for he same discharge and slope.
A. 0.243 m3
B. 0.654 m3
C. 0..421 m3
D. 0.331 m3
3. What is the savings in lining (per meter length of canal) if the most efficient section is used for the same discharge and slope.
A. 0.812 m2
B. 0.332 m2
C. 0.532 m2
D. 0.632 m2
Solution:
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The pump shown draws 25 liters per second of water from reservoir A and lifts it to reservoir B. The head lost from A to 1 is three times the velocity head in the 150-mm pipe and from 2 to B is ten times the velocity head in the 100-mm pipe.
1. What is the nearest value to the power output of the pump in kilowatts?
A. 78.3
B. 69.6
C. 54.1
D. 60.2
2. What is the nearest value to the pressure at point 1 in kilopascals?
A. 154.2
B. 168.9
C. 230.4
D. 192.2
3. What is the nearest value to the pressure at point 2 in kilopascals?
A. 2596
B. 2678
C. 2134
D. 3112
Solution:
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An open cylindrical tank 30 cm in diameter and 80cm tall is filled with water and revolved about its own vertical axis at constant angular speed.
1. What angular speed will cause 1.4 liters of water to spill?
A. 45.5 rpm
B. 87.2 rpm
C. 65.2 rpm
D. 56.1 rpm
2. What will be the depth of water in the tank when it is brought to rest from an angular speed of 240 rpm?
A. 0.438 m
B. 0.672 m
C. 0.321 m
D. 0.552 m
3. What angular speed will just zero the pressure at the bottom?
A. 269.3 rpm
B. 252.2 rpm
C. 189.4 rpm
D. 298.3 rpm
Solution:
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A solid block having a specific gravity of 3.47 is placed in a cylinder containing mercury having a specific gravity of 13.6.
1. What part (percent) of the block is floating above the mercury level?
A. 65.45%
B. 54.32%
C. 74.49%
D. 25.51%
2. If the volume of the block is 0.018m3, what is the weight of the block?
A. 874.3 N
B. 561.1 N
C. 612.7 N
D. 678.2 N
3. If the volume of the block is 0.018 m3, what downward force is required to make it completely submerged in mercury?
A. 1789 N
B. 1932 N
C. 1456 N
D. 2112 N
Solution:
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