Name: Score:

Section: Date:
STRUCTURAL ENGINEERING AND CONSTRUCTION
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. Write and Sign the academic pledge at the end of your exam:
“I hereby attest upon my honor that I did not give nor receive any
help while doing the exam”. NO PLEDGE, NO EXAM GRADE. STRICTLY NO
CHEATING ALLOWED.

Situation 1. A hollow circular pole 3 m high is fixed at the base. It

is 6 mm thick and its outside diameter is 300 mm. The pole is
subjected to a torque and a lateral force at the free end.
Given:
Torque T = 25 kN-m
Lateral Force H = 3 kN
Shear Modulus of Elasticity = 78 GPa
Allowable Shear Stress = 60 MPa
1. What is the maximum shear stress (MPa) at the outside surface of
the pole due to the torque, T?
A. 28.5 C. 32.6
B. 31.3 D. 35.0
2. What is the angle of twist (degrees) due to the torque?
A. 0.26 C. 0.46
B. 0.36 D. 0.56
3. Find the maximum flexural stress (MPa) at the base of the pole due
to the lateral force.
A. 17.5 C. 22.5
B. 20 D. 25

Situation 2. As shown in the figure below, the eyebolt is subjected to

three forces A, B, and C.
Given: A = 6.0 kN B = 2.4 kN θ = 30º

4. How much is the angle β, in degrees, if the resultant of the three

forces is 3.6 kN and acts along the y-axis?
A. 41.7 C. 48.3
B. 75.5 D. 14.5

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5. If C = 4.6 kN and β = 45º, how much is the resultant, in kN, of the
three forces?
A. 3.6 C. 2.4
B. 6.0 D. 4.8
6. If the resultant of the three forces is 7.0 kN and acts along the
x-axis, how much is the force C, in kN, if β = 45º?
A. 5.3 C. 12.2
B. 1.8 D. 10.5

Situation 3. A pressure vessel, 320 mm in diameter is to be fabricated

from steel plates. The vessel is to carry an internal pressure of 4
MPa.
7. Find the required thickness of the plate if the vessel is to be
cylindrical. The allowable stress is 120 MPa.
A. 3 mm C. 9 mm
B. 6 mm D. 12 mm
8. What is the required thickness of the plate if the vessel is to be
spherical? The allowable stress is 120 MPa.
A. 3 mm C. 9 mm
B. 6 mm D. 12 mm
9. The vessel to be fabricated is a cylinder using 12 mm thick steel
plating. What is the maximum internal pressure that the vessel can
carry if the allowable steel stress is 60 MPa?
A. 4.5 MPa C. 3.5 MPa
B. 9.0 MPa D. 7.0 MPa

Situation 4: A beam ABC is loaded as shown in Figure 7D-MS. Table MS-

7D may be useful.

10. The value of (kN-m2) for span AB is:

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A. 212.1 C. 413.3
B. 372.7 D. 451.5

11. The value of (kN-m2) for span BC is:

A. 60 C. 250
B. 150 D. 100
12. The value of the moment (kN-m) at B is:
A. -21.75 C. -23.25
B. -25.07 D. -27.50

Situation 5. A cantilever beam 4 m long deflects by 16 mm at its free

end due to a uniformly distributed load of 25 kN/m throughout its
length.

13. To prevent beam deflection at the free end, what force P (kN) is
needed at that point?
A. 30.0 C. 35.0
B. 32.5 D. 37.5
14. What force P (kN) should be applied at the mid length of the beam
for zero displacement at the free end?
A. 100 C. 120
B. 110 D. 130
15. To reduce the deflection at the free end to 10 mm, how much force
is needed to be applied at that point?
A. 23.4 C. 25.4
B. 24.4 D. 26.4

Situation 6. A beam of uniform cross section whose flexural rigidity

is EI is placed on three supports as shown below. Support B is at
small gap ∆ so that the moment at B is zero.

16. What is the reaction at A in kN?

A. 4.375 C. 5.437
B. 8.750 D. 6.626
17. Calculate the reaction at B in kN.
A. 4.375 C. 5.437
B. 8.750 D. 6.626
18. Find the value of ∆.

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A. 36.54/EI C. 78.16/EI
B. 62.53/EI D. 15.63/EI
Situation 7. Two identical cantilever beams in contact at their ends
support a distributed load over one of them as shown. Calculate the
following:

19. The deflection at C.

A. 70.65/EI C. 75.60/EI
B. 65.70/EI D. 60.75/EI
20. The moment reaction at A in kN-m.
A. -25.20 C. -20.25
B. -33.30 D. -22.20
21. The vertical reaction at B in kN.
A. 8.75 C. 18
B. 29.25 D. 13.5

Situation 8. The uniform 50-kg plank shown is resting on friction

surfaces at A and B. The plank is 4 m long, the angle ϴ = 42˚, and the
coefficients of static friction at A and B are 0.20 and 0.40,
respectively. A 90-kg man starts walking from A toward B.

22. Neglecting the weight of the plank, determine the distance x

(meters) when the plank will start to slide.
A. 1.24 C. 1.41
B. 1.32 D. 1.56
23. Considering the weight of the plank, determine the distance x
(meters) when the plank will start to slide.
A. 0.87 C. 1.18
B. 1.08 D. 1.21
24. Considering the weight of the plank compute the resultant reaction
(N) at B.
A. 478.3 C. 889.4
B. 515.2 D. 907.1

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Situation 9. As shown in the figure below, cylinders C and D are
attached to the end of the cable which supports a steel girder with a
mass per unit length of 50 kg/m. If cylinder D has a mass of 600 kg.

25. Determine the required mass of cylinder C.

A. 478 kg C. 459 kg
B. 440 kg D. 450 kg
26. Determine the maximum sag h of the cable.
A. 0.47 m C. 0.54 m
B. 0.62 m D. 0.83 m
27. Determine the total length of the cable between pulleys A and B.
A. 13.7 m C. 13.2 m
B. 13.4 m D. 13.5 m

SITUATION 10. The resultant of the three cable tensions shown acting
on the flagpole is the force R. Given that T3 = 500 N

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28. Determine the tension T1 in kN.
A. 425 C. 577
B. 433 D. 654
29. Determine the tension T2 in kN.
A. 425 C. 577
B. 433 D. 654

30. Find the value of the resultant force R of the three cables in kN.
A. 926 C. 1016
B. 971 D. 1441

Situation 11. The pin-jointed assembly supports a billboard 3m high x

4m wide on each end. The total weight of the billboard is 30 kN.
H = 1.5 m θ = 60º
Wind pressure q = 1.7 kPa
Wind pressure coefficient, C = 1.0.

Note: The billboard (3 m x 4 m) is supported on both ends by the pin-

jointed assembly shown.

31. Determine the horizontal reaction at A.

A. 6.6 kN C. 8.4 kN
B. 7.9 kN D. 15.8 kN
32. How much is the normal stress in strut BC with cross sectional
dimensions of 6mm x 76mm?
A. 45.8 MPa C. 45.3 MPa
B. 91.6 MPa D. 90.6 MPa
33. If the strut AB were placed by a 16 mm-ϕ steel cable, determine
the normal stress in the cable.
A. 45.8 MPa C. 45.3 MPa
B. 91.6 MPa D. 90.6 MPa

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Situation 12. Determine the determinacy of the given structure:
34.

A. unstable
B. stable and determinate
C. statically indeterminate to the 1st degree
D. statically indeterminate to the 2nd degree

35.

A. stable and determinate

B. statically indeterminate to the 4th degree
C. statically indeterminate to the 5th degree
D. statically indeterminate to the 6th degree

36.

A. statically indeterminate to the 33rd degree

B. statically indeterminate to the 42nd degree
C. statically indeterminate to the 66th degree
D. statically indeterminate to the 84th degree

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Situation 13. A 6m reinforced concrete simply supported beam is 300 mm
wide with an effective depth of 400 mm. Use f’c = 21.5 MPa and fy =
415 MPa. The section is reinforced with 6– ϕ20mm tension bars. Use
2010/2015 NSCP.
37. At failure, determine the stress in the tension steel (MPa).
A. 527 C. 378
B. 830 D. 415
38. Calculate the design flexural strength (kN-m) of the section.
A. 257.1 C. 179.4
B. 212.6 D. 231.4
39. Determine the factored live load (kN/m) the beam can support if
total factored dead load is 20 kN/m.
A. 17.0 C. 19.8
B. 27.2 D. 31.4

Situation 14. A reinforced concrete beam is to be designed by the

Strength Design Method of the Code has a width of 300mm and an
effective depth of 520 mm. Use f’c = 21 MPa, fy = 415 MPa and strength
reduction factor of 0.90. Use effective cover of 65 mm.
40. Which of the following most nearly gives the required steel
tension area in order for the beam to carry a factored moment of 175
kN-m?
A. 820 mm2 C. 1050
B. 980 mm2 D. 1200
41. Which of the following most nearly gives the required steel
tension area in order for the beam to carry a factored moment of 330
kN-m?
A. 1800 mm2 C. 2300 mm2
B. 2000 mm2 D. 2500 mm2
42. Which of the following most nearly gives the required steel
tension area in order for the beam to carry a factored moment of 400
kN-m?
A. 1800 mm2 C. 2300 mm2
B. 2000 mm2 D. 2500 mm2

Situation 15. A 4m reinforced concrete cantilever beam has a width of

300 mm and a total depth of 600 mm with an effective depth of 536 mm.
It is reinforced with 5 - φ28mm tension bars f’c = 27.5 MPa and fy =
415 MPa. In addition to live load and its own weight, the beam carries
a 100-mm-thick concrete slab (casted monolithically with the beam)
with a tributary width of 4 m. The unit weight of concrete is 23.5
kN/m3. Use 2010/2015 NSCP.
43. Determine the net tensile strain in the extreme tension steel when
concrete reaches the strain of 0.003.
A. 0.0020 C. 0.0065
B. 0.0045 D. 0.0055
44. Calculate the design moment capacity of the beam, in kN-m.
A. 568.4 C. 487.10

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B. 511.6 D. 369.50
45. If a concentrated service live load will be placed at a distance
of 2m from support, determine its maximum safe value in kN.
A. 113.60 C. 285.40
B. 192.10 D. 98.70

Situation 16. Refer to RC-04, and Figure RCF-002 for the layout of a
reinforced concrete floor system.
Girder and beam width = 300 mm
Girder and beam effective depth = 550 mm
Girder and beam depth = 500mm below the 100 mm thick slab
All columns = 500mm x 500mm
Floor dead load = 3.2 kPa (slab included)
Floor live load = 4.8 kPa
Unit weight of concrete = 24 KN/m3
Factored load, U = 1.2D + 1.6L
Strength reduction factor for shear = 0.75
S = 2.5 m, L1 = 6 m, and L2 = 7.0 m
46. Which of the following most nearly gives the total factored
uniform load (kN/m) carried by beam GHI?
A. 33.12 C. 40.52
B. 23.60 D. 15.84
47. Determine the maximum factored moment (kN-m) for beam GHI.
A. 132.5 C. 203.5
B. 173.1 D. 211.2
48. If girder CI will not provide any rotational restraint, determine
the maximum factored positive moment (kN-m) for beam EF. Assume ln =
6.85 m.
A. 111.00 C. 141.28
B. 97.13 D. 172.85

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Situation 17. Data of a beam section is given below.
BxH = 300 mm x 550 mm
Bar diameter = 20 mm
Clear concrete cover to 10 mm diameter ties = 40 mm
Concrete f’c = 35 MPa
Steel fyl = 420 MPa
Φ = 0.90
The beam is simply supported with a span of 6m. It will carry a 12kN/m
total factored dead load and two 42 kN factored load at 3rd points.
49. Which of the following most nearly gives the critical factored
moment (kN-m)?
A. 111 C. 121
B. 90 D. 138
50. Which of the following most nearly gives the required tension
reinforcement area (mm2) following NSCP requirements?
A. 547 C. 564
B. 578 D. 774
51. Determine the required number of tension bars.
A. 2 C. 4
B. 3 D. 5

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Situation 18. A 4m reinforced concrete cantilever beam has a width of
300 mm and a total depth of 600 mm with an effective depth of 536 mm.
It is reinforced with 5 - φ28mm tension bars f’c = 27.5 MPa and fy =
415 MPa. In addition to live load and its own weight, the beam carries
a 100-mm-thick concrete slab (casted monolithically with the beam)
with a tributary width of 4 m. The unit weight of concrete is 23.5
kN/m3. Use 2010/2015 NSCP.
52. Determine the net tensile strain in the extreme tension steel when
concrete reaches the strain of 0.003.
A. 0.0020 C. 0.0065
B. 0.0045 D. 0.0055
53. Calculate the design moment capacity of the beam, in kN-m.
A. 568.4 C. 487.10
B. 511.6 D. 369.50
54. If a concentrated service live load will be placed at a distance
of 2m from support, determine its maximum safe value in kN.
A. 113.60 C. 285.40
B. 192.10 D. 98.70

Situation 19. A three-span continuous one-way slab with thickness of

100mm is supported by beams 3.5m apart. Width of the beam is 300mm.
The slab carries a total factored floor load of 8.60 kPa. Use f’c = 21
MPa and fy = 275 MPa. Consider NSCP provision for spacing limit. Refer
to RC-04 for moment calculations.
55. Determine the required spacing of 12mm-diameter main reinforcing
bars considering critical negative moment.
A. 245 C. 180
B. 200 D. 220
56. Determine the spacing of 12mm-diameter main reinforcing bars
considering critical positive moment.
A. 250 C. 300
B. 275 D. 450
57. Find the spacing of 10mm-diameter temperature bars.
A. 250 C. 350
B. 300 D. 450

Situation 20. Two uniform loads of 112 kN/m are acting downward on the
concrete pad shown. The pressure “q” under the pad is uniform.

58. Determine the maximum shear in the pad.

A. 24 kN C. 64 kN

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B. 48 kN D. 112 kN
59. Determine the maximum moment in the pad.
A. 21 kN-m C. 42 kN-m
B. 24 kN-m D. 48 kN-m
60. Determine the distance from the left end where the flexural stress
is zero.
A. 3.5 m C. 2.5 m
B. 1.75 m D. 3 m

Situation 21. A pre-stressed concrete section has dimensions as shown

in the figure:

61. Determine the area (mm2) of the section.

A. 300,000 C. 360,000
B. 330,000 D. 390,000
62. Find the distance (mm) of the centroid from the top of the
section.
A. 280.808 C. 260.606
B. 270.707 D. 290.909
63. Calculate the moment of inertia (mm4) about the Neutral Axis of the
whole section.
A. 17.173x109 C. 19.193x109
B. 18.183x109 D. 20.203x109

Situation 22. Which material property is referred to by the following?

64. The ability to absorb energy in the plastic range.
A. Toughness C. Stiffness
B. Brittleness D. Resilience
65. The ability to absorb energy in the elastic range.
A. Toughness C. Ductility
B. Brittleness D. Resilience
66. The ability to deform in the plastic range without breaking.
A. Toughness C. Ductility

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B. Brittleness D. Resilience
Situation 23. A heavy ring moulding of diameter 2 m. is supported by
six steel wires of equal lengths and attached at points spaced
uniformly along the circumference of the moulding. The moulding weighs
2.5 kN/m per meter of its circumference.

67. Determine the tension in each wire.

A. 2.62 kN C. 2.26 kN
B. 2.76 kN D. 2.67 kN
68. What is the diameter of the wire that will not exceed the
allowable stress of 124 MPa?
A. 5.19 mm C. 4.82 mm
B. 5.33 mm D. 5.24 mm
69. If the wires are 6 mm in diameter, find the vertical displacement
of the moulding.
A. 1.46 mm C. 1.59 mm
B. 1.54 mm D. 1.63 mm

Situation 24. The components of the acceleration of a particle,

starting from rest, are as follows:

ax = 0.7t
ay = 3 – 0.5t
az = 7
Assuming the particle starts from rest.
70. Determine the resultant acceleration of the particle after 5
seconds.
A. 4.78 m/s2 C. 7.48 m/s2
B. 4.87 m/s2 D. 7.84 m/s2
71. Determine the resultant velocity of the particle after 5 seconds.
A. 12.37 m/s C. 27.13 m/s
B. 21.73 m/s D. 37.12 m/s
72. Determine the resultant displacement of the particle after 5
seconds.
A. 185.6 m C. 135.65 m
B. 108.65 m D. 92.74 m

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Situation 25. A kicked football leaves the ground at an angle θ = 37º
with a velocity of 20 m/s as shown in the figure. Assuming the ball
leaves the foot at ground level, and ignoring air resistance and
rotation of the ball,

73. Determine the maximum height.

A. 7.35 m C. 9.77 m
B. 7.24 m D. 9.88 m
74. Calculate the time of travel before the football hits the ground.
A. 2.28 s C. 2.82 s
B. 2.41 s D. 2.45 s
75. How far away it hits the ground?
A. 38.45 m C. 39.20 m
B. 34.85 m D. 32.90 m

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