1. A Force system is shown in Figure 1. Which of the following most nearly gives the angle, in degrees,
that the 500 kN force makes with the horizontal (positive counterclockwise): ( 593)
A. 59.04
B. 53.13
C. 51.34
D. 36.87
2. Which of the following most nearly gives the value of the angle alpha, in degrees, such that the
forces in Figure 2 is equivalent to the force in Figure 1: (593)
A. 75.4
B. 72.1
C. 86.4
D. 83.2
3. Which of the following most nearly gives the value of the force P, in kN, such that the forces in
Figure 2 is equivalent to the force in figure 1: (593)
A. 612
B. 476
C. 504
D. 524
Situation. A beam is loaded as shown in Figure 3.
4. Which of the following most nearly gives the value of the reaction at B in kN: (593)
A. 530
B. 580
C. 480
D. 430
5. Which of the following most nearly gives the value of the maximum shear in kN:
A. 987
B. 746
C. 868
D. 754
6. Which of the following most nearly gives the value of the maximum moment in kN-m:
A. 6872
B. 4818
C. 6454
D. 2127
Situation. A piece of metal weights 350N in air and 240N in water. (580)
7. Which of the following most nearly gives the value of the volume of the piece of metal in m3 :
A. 0.0112
B. 0.0125
C. 0.0136
D. 0.0187
8. Which of the following most nearly gives the value of the unit weight of the metal in kN/m3 :
A. 28
B. 25.74
C. 18.72
D. 31.22
9. Which of the following most nearly gives the value of the specific gravity of the metal:
A. 2.85
B. 2.62
C. 3.18
D. 1.91
Situation. A vertical tank having a horizontal cross-sectional area of 0.4 m2 has 0.0003 m2 orifice at the
bottom. The initial head on the orifice is h1 = 1.2m. It takes 312 second for the water level drop from
1.2m to 0.6m. ( 580)
10. Which of the following most nearly gives the value of the coefficient of discharge of the tank:
A. 0.65
B. 0.62
C. 0.68
D. 0.72
11. If C = 0.6, how long will it take for the water level to drop from 1.2m to 0.8m in seconds?
A. 202
B. 256
C. 185
D. 231
12. If C = 0.6, what is the head on the orifice after 240 seconds in meter?
A. 0.52
B. 0.43
C. 0.85
D. 0.73
Situation. Water flows at the rate of 0.8 m3/s in a 900m long pipe with a total head lost of 4m. Solve the
pipe diameter in mm by: ( 581 )
13. Darcy-Weisbach formula using f = 0.018.
A. 735
B. 715
C. 812
D. 793
14. Manning’s Formula using n = 0.014
A. 735
B. 715
C. 812
D. 793
15. Hazen-William’s formula using C1 = 130
A. 735
B. 715
C. 812
D. 793
Situation. A granular soil sample taken from the field has a density of 1600 kg/m3. In a laboratory test,
it was found out that the density of the soil solids is 2660 kg/m3, the moisture content is 11.5%, and the
void ratios at its densest and loosest state are 0.43 and 0.62, respectively. Determine the following: (581)
16. The dry density in kg/m3.
A. 1532
B. 1814
C. 1704
D. 1652
17. The void ratio.
A. 0.56
B. 0.51
C. 0.36
D. 0.62
18. The relative density of the granular soil in percent.
A. 31
B. 65
C. 87
D. 51
Situation. A soil sample having a volume of 1 x 10-3 m3 has a mass of 1950 grams and moisture content
of 10%. The specific gravity of the soil solids is 2.66. (581)
19. Which of the following most nearly gives the value of the dry density of the soil in kg/m3 ?
A. 1714
B. 1773
C. 1824
D. 1597
20. Which of the following most nearly gives the value of the void ratio in percent?
A. 50.1
B. 76.2
C. 42.5
D. 64.2
21. Which of the following most nearly gives the value of the degree of saturation in percent?
A. 74.2
B. 47.2
C. 53.1
D. 63.5
Situation. The tank in the Figure 4. is 3m wide perpendicular to the sketch. Neglect the atmospheric
pressure. Unit weight of water is 9.79 kN/m3. (539)
22. Which of the following most nearly gives the value of the vertical component of the total
hydrostatic force on the quarter-circle panel AB, in kN.
A. 1164
B. 955
C. 1234
D. 1321
23. Which of the following most nearly gives the value of the resultant hydrostatic force acting on the
quarter-circle panel AB, in kN.
A. 1485
B. 1365
C. 1658
D. 1505
24. Which of the following most nearly gives the value of the angle that the resultant hydrostatic force
make with the horizontal, in degrees.
A. 39.7
B. 56.3
C. 48.1
D. 50.6
Situation. The steel ball as shown in the Figure 5 is submerged between the interface of two liquids.
The ball has a diameter of 225mm and specific gravity of 7.4. ( 539)
25. Which of the following most nearly gives the value of the weight of the ball in Newtons.
A. 485
B. 433
C. 402
D. 387
26. Which of the following most nearly gives the value of the buoyant force acting on the ball in
Newtons.
A. 44
B. 87
C. 79
D. 35
27. Which of the following most nearly gives the value of the tension in the rope in Newtons.
A. 354
B. 395
C. 315
D. 371
Situation. Water flow at the rate of 1.2 m3/s at a depth of 1.5m in a 10m wide irrigation canal. Assume
uniform flow and use n = 0.035. ( 539)
28. Which of the following most nearly gives the value of the hydraulic radius of the canal, in meters.
A. 1.15
B. 1.51
C. 2.32
D. 3.22
29. Which of the following most nearly gives the value of the slope of the channel bed in meter per
kilometer.
A. 0.0064785
B. 0.000064785
C. 0.0000064785
D. 0.064785
Situation. Two footings rest in a layer of sand 2.7m thick. The bottoms of the footing are 0.90m below
the ground surface. Beneath the sand layer is a 1.8m thick clay layer. Underneath the clay layer is solid
rock. Water table is at a depth of 1.8m below the ground surface. See Figure 6.
30. Which of the following most nearly gives the value of the stress increase in kPa below footing A
(1.5m x 1.5m) at the center of the clay layer. Assume that the pressure beneath footing A is spread at
and angle of 2 vertical to 1 horizontal. (541)
A. 28.32
B. 20.14
C. 25.87
D. 22.68
31. Which of the following most nearly gives the value of the size of footing B so that the settlement in
the clay layer is the same beneath footings A and B.
A. 3.2m x 3.2m
B. 2.4m x 2.4m
C. 3.6m x 3.6m
D. 3.8m x 3.8m
32. Which of the following most nearly gives the value of the settlement in mm beneath footing A.
A. 42.3
B. 34.2
C. 69.8
D. 57.4
Situation. A 5m thick sand layer overlies a very thick layer of clay. The sand has a void ratio of 0.52
and specific gravity of solids is 2.62. The clay has moisture content of 42% and specific gravity of
solids of 2.65. The water table is 3m below the sand (ground surface). The sand above the water table is
30% saturated. ( 541)
33. Which of the following most nearly gives the value of the unit weight of the clay layer, in kN/m3.
A. 16.85
B. 18.21
C. 17.47
D. 17.04
34. Which of the following most nearly gives the value of the total stress 10m below the ground
surface, in kPa.
A. 214.5
B. 154.8
C. 181.6
D. 112.9
35. Which of the following most nearly gives the value of the effective stress 10m below the ground
surface, in kPa.
A. 112.9
B. 181.6
C. 154.8
D. 214.5
Situation. A glycerin having a volume of 0.452 m3 weighs 5,587 N. (493)
36. Which of the following most nearly gives the value of the unit weight of the glycerin in kN/m3.
A. 12.36
B. 13.25
C. 11.87
D. 10.56
37. Which of the following most nearly gives the value of the density of the glycerin in kg/m3.
A. 1350
B. 1076
C. 1210
D. 1260
38. Which of the following most nearly gives the value of the specific gravity of the glycerin.
A. 1.35
B. 1.26
C. 1.21
D. 1.08
Situation. An embankment has a mass density of 1900 kg/m3. Laboratory test shows the soil has a dry
density of 1550 kg/m3 and the void ratio at its loosest and densest states were 0.85 and 0.42,
respectively. The specific gravity of the soil particles is 2.66. ( 494)
39. Which of the following most nearly gives the value of the moisture content of the embankment, in
percent.
A. 32.14
B. 18.14
C. 28.63
D. 22.57
40. Which of the following most nearly gives the value of the saturated density in kg/m3.
A. 1967.4
B. 1852.3
C. 2056.2
D. 1753.1
41. Which of the following most nearly gives the value of the relative density of the embankment, in
percent.
A. 31.16
B. 36.53
C. 45.21
D. 54.78
Situation. Classify the following soils by the AASHTO classification system. Use Figure Figure 7.1
and Figure 7.2. ( 494)
Description
Soil A
Soil B
Soil C
Percent finer than No. 10 sieve
100
92
94
Percent finer than No. 40 sieve
82
81
85
Percent finer than No. 200 sieve
38
51
52
Liquid Limit
42
29
43
Plastic Limit
23
16
34
42. What is the soil classification of Soil A?
A. A-5(3)
B. A-7-6(3)
C. A-7-5(3)
D. A-6(3)
43. What is the soil classification of Soil B?
A. A-5(3)
B. A-7-5(3)
C. A-4(3)
D. A-6(3)
44. What is the soil classification of Soil C?
A. A-7-6(3)
B. A-4(3)
C. A-5(3)
D. A-7-5(3)
Situation. The flow of water from reservoir A in Figure 8 is 600Liters per second.
45. Which of the following most nearly gives the value of the water surface elevation of reservoir B, in
meters.
A. 174.8
B. 162.5
C. 196.6
D. 181.3
46. Which of the following most nearly gives the value of the discharge in line 2, in liters per second.
A. 280
B. 270
C. 250
D. 260
47. Which of the following most nearly gives the value of the discharge in line 3, in liters per second.
A. 330
B. 350
C. 340
D. 320
Situation. A fully saturated clay sample has a mass of 1526 grams. After oven-drying, its mass was
reduced to 1053 grams. The specific gravity of soil particles is 2.7. ( 305)
48. Which of the following most nearly gives the value of the natural water content of the sample in
percent.
A. 52
B. 45
C. 36
D. 40
49. Which of the following most nearly gives the value of the void ratio in percent.
A. 85
B. 114
C. 136
D. 121
50. Which of the following most nearly gives the value of the porosity in percent.
A. 48
B. 36
C. 55
D. 59