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CIVIL ENGINEERS LICENSURE EXAM (EERC Preboard - MANILA) OCTOBER 2019 STRUCTURAL ENGINEERING AND CONSTRUCTION
6.
What is the safest uniformly distributed load that the
INSTRUCTION: Select the correct answer for each of the following
beam can carry if the length of the beam is 8 meters?
questions. Mark only one answer for each item by shading the
a.
23.77 kN/m
c.
19.16 kN/m
box corresponding to the letter of your choice on the answer
b.
14.25 kN/m
d.
17.66 kN/m
sheet provided. STRICTLY NO ERASURES ALLOWED. Use pencil no. 1 only.
Situation 3: A rectangular concrete beam 350 mm wide and 650 mm deep is reinforced with three 25-mm diameter bars for tension only. Concrete
MULTIPLE CHOICE
strength is f’c = 21 MPa and steel yield Situation 1:
A reinforced concrete beam has a width of 280
strength fy = 275 MPa. The tension bars are
mm and an effective depth of 520 mm. It is
placed 65 mm from the bottom up to its
reinforced for tension only with 528 mm
centroid.
diameter bars. Material strengths are f’c = 21 MPa and fs = 128 MPa. Assume n = 9. Use
7.
Which of the following most nearly gives the moment capacity before the concrete cracks if the modulus of
Working Stress Design.
rupture is 3.21 MPa? 1.
Which of the following most nearly gives the location of
a.
70.37 kN-m
c.
79.11 kN-m
the
b.
64.08 kN-m
d.
84.60 kN-m
neutral
axis
from
the
extreme
compression
concrete? a.
276.52 mm
c.
236.77 mm
b.
302.85 mm
d.
193.07 mm
8.
Which of the following most nearly gives the moment capacity using Working Stress Design? Use fs = 140 MPa and n = 9.
2.
Which of the following most nearly gives the moment
a.
108.51 kN-m
c.
153.19 kN-m
capacity of the beam?
b.
119.06 kN-m
d.
136.94 kN-m
a.
173.82 kN-m
c.
138.16 kN-m
b.
111.03 kN-m
d.
157.89 kN-m
9.
Which of the following most nearly gives the moment capacity using Ultimate Strength Design?
3.
Which of the following statements is true for the given
a.
223.78 kN-m
c.
186.13 kN/m
beam?
b.
201.40 kN/m
d.
170.97 kN/m
a.
The beam complies with the Code
b.
The concrete fails first before the tension steel
c. d.
Situation 4: A reinforced concrete beam has a cross section as
yields
shown. Use f’c = 30 MPa, fy = 345 MPa and As
The tension steel yields first before the
= 2033 mm2. The diameter of the rebar is 20
concrete fails
mm and the concrete cover is 60 mm.
The concrete fails and the tension steel yields at the same time
Situation 2:
A reinforced concrete beam has a width of
300 mm and a total depth of 450 mm. The longitudinal bars at the top are 2 – 28 mm Ø and 4 – 32 mm Ø at the bottom. Concrete strength is f’c = 21 MPa and steel yield strength fy= 275 MPa. Steel cover is 70 mm. 4.
5.
What is the transformed moment of inertia? a.
1874.95 x 106 mm4
b.
1768.19 x 106 mm4
compression block?
c.
1916.26 x 106 mm4
a.
200 mm
c.
250 mm
d.
2024.58 x 106 mm4
b.
100 mm
d.
150 mm
10.
Which of the following most nearly gives the depth of
What is the moment capacity? a.
190.16 kN.m
c.
153.28 kN.m
b.
114.02 kN.m
d.
141.27 kN.m
ENGR. ERICKNEIL D. REALUYO, MSCE, ME-1. SO, MP
CIVIL ENGINEERS LICENSURE EXAM (EERC Preboard - MANILA) OCTOBER 2019 11.
Which
of
the
following
most
nearly
gives
the
17.
compressive strength of concrete?
12.
Which of the following most nearly gives the stirrups spacing when Vu = 380 kN?
a.
701.39 kN
c.
882.45 kN
a.
Stirrups are not required
b.
660.78 kN
d.
600.56 kN
b.
130 mm
c.
Beam size is inadequate
d.
300 mm
Which of the following most nearly gives the nominal moment capacity? a.
329 kN.m
c.
343 kN.m
b.
313 kN.m
d.
365 kN.m
18.
Which of the following most nearly gives the stirrups spacing when Vu = 710 kN? a.
Stirrups are not required
Situation 5: For the beam below;
b.
130 mm
f’c = 27 MPa Steel cover = 100 mm
c.
Beam size is inadequate
fy = 270 MPa As = 4 – 32 mm Ø
d.
300 mm
Situation 7: A tapered cylindrical aluminum bar has E = 72 GPa.
19. 13.
load.
compression block?
a.
0.354 mm
c.
0.320 mm
b.
0.378 mm
d.
0.339 mm
a.
224.64 mm
c.
276.49 mm
b.
308.56 mm
d.
336.96 mm 20.
14.
Which
of
the
following
most
nearly
gives
the
a.
728.36 mm
c.
868.59 mm
b.
693.14 mm
d.
625.04 mm 21.
a.
61.12 MPa
b.
42.44 MPa
c. d.
101.23 MPa 95.49 MPa
Determine the location of the centroid of the bar from
Which of the following most nearly gives the nominal
its larger end.
moment capacity?
a.
173.68 mm
c.
181.23 mm
b.
133.33 mm
d.
126.30 mm
a.
297.10 kN.m
c.
304.21 kN.m
b.
239.17 kN.m
d.
214.35 kN.m 22.
Situation 6: A rectangular concrete beam with a width of 350 mm
16.
Determine the maximum stress caused by the 30-kN axial load.
compressive strength of concrete?
15.
Determine the elongation caused by the 30-kN axial
Which of the following most nearly gives the depth of
Determine the angle of twist if 500 N.m torques are applied at ends instead of 30 kN axial forces. Poisson’s
and an effective depth of 600 mm is provided
ratio = 0.15.
with 10 mm stirrups. Assume f’c = 20.7 MPa
a.
10.13°
c.
4.60°
and fy = 414 MPa.
b.
10.93°
d.
4.75°
Which of the following most nearly gives the stirrups
23.
Determine the maximum torque that can be applied if
spacing when Vu = 62 kN?
the allowable shearing stress is 50 MPa.
a.
Stirrups are not required
a.
63.1 N.m
c.
230.6 N.m
b.
130 mm
b.
265.1 N.m
d.
78.5 N.m
c.
Beam size is inadequate
d.
300 mm
ENGR. ERICKNEIL D. REALUYO, MSCE, ME-1. SO, MP
CIVIL ENGINEERS LICENSURE EXAM (EERC Preboard - MANILA) OCTOBER 2019 28.
Compute the value of P based on yielding of gross area.
Situation 8: The bending moment acting on the triangular cross
a.
455.7 kN
c.
565.4 kN
section of a beam is M = 3.6 kN.m.
b.
760.0 kN
d.
891.0 KN
29.
30. 24.
Determine the maximum tensile bending stress acting
Compute the value of P based on tearing of net area. a.
584.0 kN
c.
864.0 kN
b.
711.6 kN
d.
434.5 kN
Compute the value of P based on bearing on plates. a.
1267.2 kN
c.
1444.0 kN
b.
1376.5 kN
d.
1152.0 kN
on the cross section.
25.
a.
50 MPa
c.
60 MPa
b.
100 MPa
d.
110 MPa
Determine the maximum compressive bending stress
31.
32.
acting on the cross section. a.
110 MPa
c.
50 MPa
b.
60 MPa
d.
100 MPa
Compute the value of P based on shearing of bolts. a.
547.4 kN
c.
273.7 kN
b.
226.2 kN
d.
452.4 KN
Compute the value of P based on block shear. a.
1248.0 kN
c.
771.2 kN
b.
896.0 kN
d.
1208.0 kN
Situation 11: Situation 9:
An L110x110x8 A40 steel is connected to a plate by 20-mm diameter bolts having shear
The simply supported wood beam is fabricated by
strength Fv = 280 MPa. The diameter of the
gluing together three 160-mm by 80-mm planks as shown.
hole is 2 mm larger than the diameter of the bolt. Use Fu = 415 MPa, S1 = 50 mm and S2 = 80 mm. See figure STLZX 77.
26.
27.
Calculate the maximum shear stress in the glue a.
938 kPa
c.
923 kPa
b.
833 kPa
d.
871 kPa
Calculate the maximum shear stress in the wood. a.
871 kPa
c.
938 kPa
b.
923 kPa
d.
833 kPa
Situation 10: Two plates each with thickness 20 mm are bolted together with six 20-mm diameter bolts
33.
of bolts.
34.
are 2 mm larger than the bolt diameters. Allowable shear stress on bolts Fv = 120 MPa. MPa and Fu = 400 MPa. Use S1 = 50 mm, S2 =
a.
425.75 kN
c.
351.86 kN
b.
625.81 kN
d.
593.60 kN
Calculate the allowable tensile load based on bearing on angle bar.
forming a lap connection. The hole diameters
The plates used are A36 steel with Fy = 248
Calculate the allowable tensile load based on shearing
35.
a.
318.72 kN
c.
345.28 kN
b.
379.81 kN
d.
350.59 kN
Calculate the allowable tensile load based on yielding of gross area.
100 mm and S3 = 90 mm. See figure STDKO 3.
36.
a.
291.23 kN
c.
261.89 kN
b.
280.86 kN
d.
252.36 kN
Calculate the allowable tensile load based on tearing of net area given that Ae = UAn. Use U = 0.85. a.
315.40 kN
c.
351.92 kN
b.
270.91 kN
d.
268.09 kN
ENGR. ERICKNEIL D. REALUYO, MSCE, ME-1. SO, MP
CIVIL ENGINEERS LICENSURE EXAM (EERC Preboard - MANILA) OCTOBER 2019 37.
Calculate the allowable tensile load based on shear
41.
rupture. a.
285.52 kN
c.
320.45 kN
b.
305.19 kN
d.
276.89 kN 42.
Situation 12:
Compute the axial stress (MPa) in member AB. a.
6.24
c.
6.79
b.
10.76
d.
4.42
Compute the allowable load (kN) in member AB.
A staggered riveted connection is used to
a.
249.2
c.
222.7
connect 400 mm x 12 mm plates. The rivets are
b.
452.1
d.
473.5
of 20 mm diameter. The diameter of the holes is assumed to be 2 mm larger than that of the
43.
Compute the axial stress (MPa) in member CD.
rivets. Use Fy = 248 MPa and Fu = 400 MPa.
a.
2.98
c.
1.97
See figure STDS 89.
b.
2.31
d.
2.11
Dimensions: a = 50 mm
c = 70 mm
d = 100
44.
mm
45.
Compute the allowable load (kN) in member CD. a.
120.4
c.
184.6
b.
282.7
d.
266.9
Compute the maximum length (m) of member BC so that the proportional limit of 300 MPa will not be exceeded.
38.
40.
2.68
c.
3.41
b.
3.11
d.
2.27
Determine the dimension b so that the net area of chain 1-2-3-4 is equal to the net area of chain 1-2-4.
39.
a.
a.
72.10 mm
c.
62.66 mm
b.
56.49 mm
d.
42.67 mm
Situation 14: To reduce interference, a link in a machine is designed so that its cross-sectional area in the center section is reduced by onehalf. The
Determine the net width using the computed b. a.
340.32 mm
c.
329.11 mm
b.
348.32 mm
d.
356.07 mm
thickness of the link is 50 mm. Given P = 40 kN.
Determine the maximum tensile force P that can be applied if the allowable stress for tension is 0.6Fy. a.
680.63 kN
c.
506.39 kN
b.
607.67 kN
d.
816.76 kN
Situation 13:
Design the steel truss below.
46.
Determine the maximum value of the normal stress acting on section m-n.
47.
a.
80 MPa (T)
c.
25 MPa (T)
b.
40 MPa (T)
d.
60 MPa (T)
Determine the minimum value of the normal stress acting on section m-n. a.
60 MPa (C)
c.
40 MPa (C)
b.
80 MPa (C)
d.
25 MPa (C)
Situation 15: The rectangular beam ABC, 100 mm wide by 400 Section of members:
mm deep, is supported by a pin at A and the
2L80x80x10
cable CD. Determine the largest vertical force
A = 1900 mm2
Fy =248 MPa
P that can be applied at B if the normal stress
rx = 33 mm
ry = 42 mm
in the beam is limited to 120 MPa.
L=3m
ENGR. ERICKNEIL D. REALUYO, MSCE, ME-1. SO, MP
CIVIL ENGINEERS LICENSURE EXAM (EERC Preboard - MANILA) OCTOBER 2019
53. 48.
Determine the largest vertical force P that can be applied at B if the normal stress in the beam is limited to 120 MPa.
49.
a.
452 kN
c.
483 kN
b.
480 kN
d.
457 kN
54.
applied at B if the shear stress of pin at support A is limited to 80 MPa. The bolt is 30 mm diameter (double a.
127 kN
c.
113 kN
b.
188 kN
d.
192 kN
55.
Pitch of 22 mm rivets is 200 mm in horizontal
56.
and vertical directions. The point where F is applied is 700 mm horizontally and 150 mm vertically from the centroid of the rivets.
463 kN
c.
442 kN
b.
456 kN
d.
480 kN
Calculate the required length a. Use Shielded Metal Arc a.
131.18 mm
c.
142.46 mm
b.
137.41 mm
d.
135.33 mm
Calculate the required length a. Use Submerged Arc Welding (SAW).
Situation 16: The connection shown in figure FKQ 45 supports F = 100 kN at an angle 60° with the horizontal.
a.
Welding (SMAW).
Determine the largest vertical force P that can be
shear).
Calculate the force P that can be applied.
a.
104.53 mm
c.
106.14 mm
b.
110.03 mm
d.
101.32 mm
Calculate the length of end return b. a.
28.8 mm
c.
26.8 mm
b.
36.8 mm
d.
18.8 mm
Situation 18: A reinforced concrete slab is reinforced with 13-mm bars spaced 160 mm apart at d = 105 mm from the top of the slab. The modulus of elasticity for the concrete is Ec = 25GPa while that of the steel is Es = 200 GPa. Assume that allowable stresses for concrete and steel are 9.2 MPa and
50.
51.
52.
135 MPa, respectively.
Compute the direct shear stress. a.
95 mm
c.
43.84 MPa
b.
87.69 MPa
d.
100 mm
Compute the torsional shear stress. a.
250.45 MPa
c.
95.20 MPa
b.
83.48 MPa
d.
267.90 MPa
Compute the maximum shear stress. a.
282.31 MPa
c.
97.20 MPa
b.
111.84 MPa
d.
294.22 MPa
57.
length b are end returns. Use maximum size of fillet weld. See figure GKS 31. Upper Plate:
160 mm wide 20 mm thick
Lower Plate:
the
maximum
permissible
positive
bending
moment for a 1-m-wide strip of the slab.
Situation 17: A lap joint is welded using a fillet weld with E80 electrode. Plates have Fy = 250 MPa. welds of
Find
58.
a.
13.61 KN.m
c.
12.01 KN.m
b.
9.72 KN.m
d.
10.59 KN.m
What is the required area of steel reinforcement, As, if a balanced condition must be achieved? a.
1262 mm2
c.
1402 mm2
b.
1107 mm2
d.
981 mm2
190 mm wide 16 mm thick
ENGR. ERICKNEIL D. REALUYO, MSCE, ME-1. SO, MP
CIVIL ENGINEERS LICENSURE EXAM (EERC Preboard - MANILA) OCTOBER 2019 59.
What is the allowable positive bending moment for balanced design?
60.
a.
12.33 KN.m
c.
15.79 KN.m
b.
9.11 KN.m
d.
13.06 KN.m
A rectangular concrete beam 200 mm wide and 300 mm deep is simply supported over a span of 8 m. The beam is reinforced with straight tendons situated 75 mm
64.
Calculate the average vertical force per unit length of
above the bottom of the beam under a prestressing
weld (N/mm) assuming that distance e is zero.
force of 130 KN. Concrete weighs 24 KN/m3 with
a.
540
c.
720
modulus of elasticity of 13,800 MPa. Assuming tension
b.
360
d.
180
concrete does not crack. Determine the midspan 65.
deflection.
Calculate the resultant force per unit length of weld
a.
2 mm (downward)
(N/mm) due to eccentric load P.
b.
2 mm (upward)
a.
936
c.
1765
c.
0.2 mm (upward)
b.
864
d.
1220
d.
0.2 mm (downward) 66.
Situation 19:
If the resultant force per unit length of weld is 750 N/mm, find the required weld thickness (mm).
A T beam has the following properties: Effective flange width, beff = 800 mm
a.
12
c.
10
b.
11
d.
9
Flange thickness, tf = 100 mm Width of web, bw = 300 mm
67.
Determine the vertical deflection of point E. Each
Effective depth, d = 700 mm
member has a cross-sectional area of 4.5 in.2. E = 29(103)
It is reinforced with As = 8,000 mm2 tension
ksi. See figure DKSY 2.1.
bars. Use f’c = 21 MPa and fy= 275 MPa. 61.
Which of the following most nearly gives the area of the concrete compression stress block?
62.
a.
114,660.27 mm2
c.
106,723.55 mm2
b.
123,249.30 mm2
d.
129,561.08 mm2
Which of the following most nearly gives the depth of the concrete compression stress block?
63.
a.
265.20 mm
c.
189.08 mm
b.
215.53 mm
d.
244.16 mm
a.
0.0079 in.
c. 0.0121 in.
b.
0.0097 in.
d. 0.0135 in.
Which of the following most nearly gives the ultimate moment capacity of the given beam? a.
1,202.18 kN-m
c.
1,186.57 kN-m
b.
1,240.13 kN-m
d.
1,222.50 kN-m
Situation 20:
Situation 21:
Given is a truss. See figure XBDT 3.1.
Refer to Fig. STCNM 16.023. Given:
P = 360 kN
e = 0.20 m b = 0.50 m Allowable Weld Stress, Fvw = 93 MPa. 68.
Calculate the vertical displacement of joint A if members AB and BC experience a temperature increase of 200°F. Take A = 2 in.2, α = 6.60(10-6)/°F and E = 29(103) ksi.
ENGR. ERICKNEIL D. REALUYO, MSCE, ME-1. SO, MP
CIVIL ENGINEERS LICENSURE EXAM (EERC Preboard - MANILA) OCTOBER 2019
69.
a.
0.507 in.
c.
0.633 in.
b.
0.487 in.
d.
0.583 in.
Calculate the vertical displacement of joint A if member AE is fabricated 0.5 in. too short. a.
1.25 in.
b.
1.40 in.
c.
1.12 in.
d.
1.33 in.
Situation 22: The table shown lists the activities by making up a
70.
71.
Bidder A
=
P354,000,000
Bidder B
=
P639,000,000
Bidder C
=
P483,000,000
Bidder D
=
P583,000,000
Bidder E
=
P295,000,000
Bidder F
=
P385,000,000
network diagram for a project together with
The implementing rules and regulations of P.D. 1594
the duration and the costs of carrying out the
states that no award of contracts shall be made to a
work.
bidder whose bid price is higher than the Allowable Government Estimate (AGE) or the Approved Agency
Activity
Duration
Cost
A(0-1)
3
6800
B(1-3)
8
24200
Government Estimate (AGE) is defined as one-half the
C(1-2)
3
8000
sum of the AAE and the average of all responsive bids.
D(3-2)
3
12000
E(2-6)
3
6500
(120%) of the AAE or lower than sixty percent (60%) of
F(2-5)
6
15000
the AAE shall not be considered. No negotiation will be
G(2-4)
5
12000
H(5-4)
4
4900
I(4-7)
4
2400
J(7-8)
6
7600
a.
Bidders A, C, D, and F only
K(6-8)
4
16800
b.
Bidders B and E only
L(8-9)
2
2000
c.
Bidders A, C, and F only
d.
Bidders B and D only
Estimate (AAE), whichever is higher, or lower than seventy percent (70%) of the AGE. The Allowable
For purposes of determining the average of all responsive bids, bids higher than one hundred twenty
allowed to bring down the bid to the level of the AAE/AGE. 73.
Which of the following gives the responsive bidders for the project?
Which of the following most nearly gives critical path? a.
ACEKL
c.
ABDGIJL
b.
ABDFHIJL
d.
ACFHIJL
74.
Which of the following most nearly gives the average of all the responsive bids?
Which of the following most nearly gives the duration
a.
P505,666,666.67
c.
P467,000,000.00
b.
P451,250,000.00
d.
P407,333,333.33
of the work?
72.
a.
34 days
c.
35 days
b.
36 days
d.
37 days
75.
Which of the following most nearly gives the Allowable Government Estimate?
Which of the following most nearly gives the total cost
a.
P453,666,666.67
c.
P502,833,333.33
b.
P483,500,000.00
d.
P475,625,000.00
of the project? a.
P112,400.00
b.
P103,500.00
c.
P120,300.00 d.
P118,200.00 Situation 23: A project has been bid out by the Department of Public Works and Highways. The Approved Agency Estimate (AAE) is 500 million pesos. The results of responsive bids are as follows:
ENGR. ERICKNEIL D. REALUYO, MSCE, ME-1. SO, MP