HGE COMPREHENSIVE

Question 1

A smooth vertical wall 5m high retaining a sand of unit weight 17kN/m3 for which ϕ=35° and c=0 ; the surface of the sand is horizontal and the water table is below the bottom of the wall. Consider 1m with of wall.
1. Calculate the total thrust on the wall
a. 59.9 kN
b. 57.6 kN
c. 64.0 kN
d. 46.1 kN

Answer 1

B

Question 2

For a dry sandy soil, a direct shear test was performed. Its vertical normal force was 12.49kPa and the measured shear force was 7.92kPa. Determine the angle of internal friction of the soil.
a. 57.6°
b. 32.4°
c. 28.1°
d. 23.4°

Answer 2

B

Question 3

A 350 mm - diameter and 12 m long concrete pile is driven into the ground where Cu=100kPa, α=0.47 and Nc=9. Estimate the shaft load capacity.
a. 527 kN
b. 474 kN
c. 422 kN
d. 620 kN

Answer 3

D

Question 4

An airplane flying at an altitude of 10km dropped to a height of 6km. What is the corresponding change in pressure? Unit weight of air is 12 N/m^3
a. 24
b. 48
c. 36
d. 12

Answer 4

B

Question 5

5. Atmospheric Pressure is equal to water column head of?
   a. 9.81 m
   b. 5.0 m
   c. 10.3 m
   d. 7.5 m

Answer 5

C

Question 6

A fireman has to put out a fire but is blocked by a firewall. To reach over the wall, he directed the water jet from the nozzle at an angle of 30° to the horizontal. Evaluate the velocity of water, in meter/sec, leaving the nozzle of hose to reach over the wall and the wall is standing 2m higher than the nozzle of the hose. Neglect friction in the jet.
a. 16.8
b. 20.6
c. 18.2
d. 19.2

Answer 6

D

Question 7

A barge weighing 359 kN when empty is 6m wide, 15m long, and 3m high. Floating upright, evaluate the draft of the barge in meters when transporting 500 bags of cement along a river, each bag having a mass of 40 kg. Assume the specific gravity of water in the river to be 1.02.
a) 2.14
b) 3.05
c) 1.98
d) 2.57

Answer 7

D

Question 8

SIT. A concrete dam of trapezoidal cross-section, with one face vertical, has a thickness of 0.60m at the top and 4.2 on the bottom. It is 7m high and has a horizontal base. The vertical face is subjected to water pressure, the water standing 6m above the base. The weight of the concrete is 24 kN/m3 per meter length of dam, evaluate:
8. Total hydrostatic force on the dam in kN.
a) 163.28 kN
b) 176.58 kN
c) 133.2 kN
d) 149.14 kN
9. The resisting moment of the dam to overturning in kN-m.
a. 1118.90 kN-m
b. 1231.52 kN-m
c. 1014.36 kN-mN
d. 1378.21 kN-m
10. Factor of safety against overturning.
a. 2.53
b. 2.92
c. 3.17
d. 3.54

Answer 8

B, A, C

Question 9

A closed cylindrical tank 4m long having a radius of 1.5m is fully filled with water is placed on a car moving at an acceleration of 2.5m/s^2. How much force is acting on the back side of the tank?
a. 69.34
b. 9.81
c. 2.51
d. 17.67

Answer 9

D

Question 10

From a nozzle of diameter 30 mm, water flows out vertically under a constant head of 25 m. The coefficient of velocity and the coefficient of discharge of the issuing jet are equal to 0.98. Evaluate at what constant height, in meters vertically from the tip of the nozzle would the jet of water support a load of 300 N.
a. 5.3 m
b. 4.5 m
c. 2.5 m
d. 17.67 m

Answer 10

B

Question 11

A vessel has a circular orifice 6 cm in diameter located at its vertical side under a head “h”. The jet strikes a horizontal plane 10m below the center of the orifice at a point 24m measured horizontally from the vertical plane of the orifice. If air friction is neglected and Cv = 0.98 determine the value of h.
a. 12m
b. 14m
c. 5m
d. 13m

Answer 11

C

Question 12

14. What is the discharge in L/s through a 25mm orifice (c=0.61) in the bottom of a tank moving upward with an acceleration of 3m/s^2 if water stands 2.50 m over the orifice.
    A. 2.10
    B. 2.62
    C. 2.32
    D. 2.40

Answer 12

D

Question 13

SIT. A triaxial shear test was performed on a well-drained sand sample. The normal stress on the failure plane and the shearing stress on the failure plane were determined to be 63 kPa and 42 kPa, respectively.
15. Determine the angle of internal friction of the sand, in degrees.
a. 42.17 deg
b. 33.69 deg
c. 48.15 deg
d. 39.84 deg
16. Determine the angle in degrees of the failure plane with respect to the horizontal plane.
a. 61.85 deg
b. 68.91 deg
c. 48.86 deg
d. 53.53 deg
17. Determine the axial stress applied to the specimen, in kPa.
a. 112.36 b. 128.11 c. 138.42 d. 141.48

Answer 13

B, A, D

Question 14

18. Select the correct statement from the following:
    a. Soil is the substance existing on the earth’s surface, which grows and develops plants
    b. Soil is the material in a relatively thin surface zone within which roots occur, and rest of the crust is termed as rock irrespective of hardness
    c. Soil is the unaggregated and uncemented deposits of minerals and organic particles covering the earth’s crust
    d. All the above

Answer 14

D

Question 15

19. Void ratio of soil mass can
    a. Never be greater than unity
    b. Be zero
    c. Take any value greater than zero
    d. Take values between zero and one only

Answer 15

C

Question 16

20. A thick layer of clay underlies a sand formation having a thickness of 5m. The groundwater is located 2m below the ground surface. Specific gravity of sand and clay is 2.65 with having an average void ratio of 0.52. The clay has a water content of 42%.
21. Compute the saturated unit weight of clay.
    a. 10.18 kN/m3
    b. 11.30 kN/m3
    c. 12.46 kN/m3
    d. 17.47 kN/m3
22. Compute the total stress at the depth of 10-m below the ground surface.
    a. 171.1
    b. 182.93
    c. 120.46
    d. 105.81
23. Compute the effective stress at a depth of 10m below the ground surface
    a. 171.10 KN/m
    b. 182.93 KN/m
    c. 120.46 KN/m
    d. 105.81KN/m

Answer 16

D, B, D

Question 17

SITUATION: Column is to be supported by a square footing, 2.00 m on a side, on a founding depth of 1.00 m into a cohesionless soil deposit. The unit weight of the soil is 16 kN/m3 and the angle of internal friction of 25 deg. Using Terzaghi’s formula for general shear failure.
23. Evaluate the contribution of the depth of embedment to the ultimate bearing capacity of the soil, in kPa.
a. 193.2
b. 203.5
c. 197.8
d. 209.4
24. Evaluate the contribution of the footing dimension to the ultimate bearing capacity of the soil, in kPa.
a. 80.1
b. 93.6
c. 133.4
d. 106.8
25. Concentric load, in kN, that the footing can safely support using a factor of safety of 3.0 against bearing capacity failure
a) 449.2
b) 364.4
c) 413.7
d) 388.5

Answer 17

B, D, C

Question 18

26. Evaluate the plastic settlement (in meters) on a layer of plastic clay due to an increase of pressure caused by loads above it under the following conditions:
    Initial intergranular pressure = 200 kPa
    Increase in intergranular pressure = 120kPa
    Thickness of the clay layer = 8m
    Coefficient of consolidation = 0.315
    Void ratio of the clay = 1.13
    a) 0.197
    b) 0.203
    c) 0.241
    d) 0.268

Answer 18

C

Question 19

SITUATION: According to Westergaard Theory, theoretical stress at a point below the surface of a semi-infinite, homogenous, isotropic soil mass due to a point load “A” applied at the ground surface is given by the equation:
P =0.318QN / z^2
Where: N = 1 / (1+2(r/z)^2 )^1.5
r = horizontal distance
Z = depth
Evaluate the vertical stress in kPa, at a point below the ground for Q = 1500 kN if:
27. the point is 2m directly below the point of application of the load.
a.) 103.24 kPa
b.) 119.25 kPa
c.) 124.36 kPa
d.) 116.09 kPa
28. the point is 4m directly below the point of application of the load.
a.) 21.33 kPa
b.) 29.81 kPa
c.) 32.14 kPa
d.) 27.15 kPa
29. The point is 4m below the load but 2m horizontally from the application of the load.
A. 21.33
B. 29.81
C. 32.14
D. 27.15

Answer 19

B, B, A

Question 20

30. A wall footing is to be constructed in a uniform deposit of stiff clay and must support a load of 152kN/m of wall length.
    TAKE:
    Angle of friction of clay = 0
    Unconfined compressive strength of soil , qu = 145.8 kPa
    Unit weight of soil = 18.82 kN/m^3
    Footing depth = 1.2m
    Nc = 5.7
    Nq = 1
    Ny = 0
    Determine the allowable bearing capacity using a FS = 3
    a. 284.55
    b. 146.04
    c. 192.21
    d. 99.87

Answer 20

B

Question 21

31. The permeameter test setup involves a cylindrical soil sample in 40mm diameter and a height of 180mm. The hydraulic head of the test was held constant at 300mm in a duration of one minute the water collected in the graduate was recorded 1.5 liters. Evaluate the coefficient of permeability of the soil, in cm/sec.
    a) 1.19
    b) 2.08
    c) 0.12
    d) 1.09

Answer 21

A

Question 22

32. A 450 kN is transmitted by a column footing onto the surface through a square footing 1.5m. on a side. Assuming that the force exerted on the underlying soil formation spreads on 2 vertical to 1 horizontal, evaluate the pressure (kPa) exerted in footing on a soil 2.7m below it.
    a) 35.05
    b) 25.51
    c) 200.0
    d) 55.40

Answer 22

B

Question 23

33. A square footing 0.9m on a side, is embedded 1.00m into a cohesive soil deposit. The unit weight of the soil is 18KN/m3 and the angle of internal friction 30°. The soil cohesion strength=15kpa. Using Terzaghi formula for local shear failure.
    Evaluate the contribution of the depth of embedment of ultimate bearing capacity of the soil, in kPa. Nc = 37.2 Nq = 22.5 Ny = 19.1
    a) 209
    b) 306
    c) 405
    d) 510
34. Evaluate the contribution of the footing dimension to the ultimate bearing capacity of the soil.
    a. 96
    b. 87
    c. 135
    d. 124

Answer 23

C, D

Question 24

SIT. The figure shows an unconfined non-homogeneous aquifer between two water bodies at a depth of 50 m and 45 m, respectively.
35. Compute the average coefficient of permeability of the aquifer.
a. 23.48
b. 12.25
c. 24.44
d. 15.97
36. Compute the time required for the water to pass through the soil if it has porosity of 0.24.
a. 6624
b. 6246
c. 4662
d. 2466

Answer 24

A, A

Question 25

SIT. Water is flowing in a 9m wide rectangular channel at 7m³/s and a depth of 0.9m.
37. What is the specific energy (m)?
a) 0.82
b) 1.24
c) 1.12
d) 0.95
38. What is the critical depth (m)?
a) 0.42
b) 0.53
c) 0.64
d) 0.75
39. What is the critical velocity
a. 2.03
b. 2.28
c. 2.51
d. 2.71

Answer 25

D, A, A

Question 26

SIT. A container holds two layers of different liquids, one having a specific gravity of 1.2 and the other having a specific gravity of 1.5. A solid spherical metal having a diameter of 200mm and a specific gravity of 7.4 is submerged in such a manner that half of the sphere is on top layer and the other half in the bottom layer of liquid.
40. Evaluate the buoyant force acting on the sphere, in kN.
a. 0.03
b. 0.02
c. 0.09
d. 0.06
41. Tension in the cable attached to the sphere for normal position.
a. 0.25
b. 0.52
c. 0.64
d. 0.46
42. Bouyant force in the sphere if both liquids are water.
a. 0.04
b. 0.07
c. 0.08
d. 0.10

Answer 26

D, A, A

Question 27

SIT. An open cylindrical tank, 2m in diameter and 4m high contains water to a depth of 3m. It is rotated about its own vertical axis with a constant angular speed, ω.
43. What is the maximum ω (in rpm) so that there is no liquid spilled.
a) 61.3
b) 67.1
c) 59.8
d) 55.6
44. What is the ω (in rpm) when the vortex touches the bottom of the cylinder?
a) 89.3
b) 80.7
c) 84.6
d) 81.2
45. What is the volume spill in liters when ω = 8 rad/s.
a) 1.41
b) 1.98
c) 1.61
d) 1.84

Answer 27

C, C, B

Question 28

SIT. Water flows from a large tank through an orifice 75mm in diameter and against a block as shown in the figure. The water jet strikes the block at the vena contracta. The block weighs 200N and the coefficient of friction between the block and the floor is 0.55. The coefficient of discharge is 0.60 and its coefficient of contraction is 0.62.
46. Determine the actual velocity needed (m/s)?
a 6.65
b 5.54
c 4.56
d 2.45
47. What is the required height from the orifice to the liquid surface?
a 2.7 m
b 2.4 m
c 1.8 m
d 3.0 m
48. What is the minimum height y to which water must rise in the tank in order to start the block moving to the right?
a) 2.7 m
b) 2.4 m
c) 1.8 m
d) 3.0 m

Answer 28

A, B, A

Question 29

SIT. The pipe system shown in figure serves two towns C and D. The highest building in town Cis at El. 21m and that in town D at El. 18m. If f = 0.020 for all pipes and per capita consumption in the two towns is 0.0035 liters/s.

49. Determine how many persons can be served in Town C.
    a) 7000
    b) 8600
    c) 7500
    d) 6200
50. Determine how many persons can be served in Town D.

e) 3000
f) 4000
g) 3500
h) 3800