REVIEW INNOVATIONS
MAY 2022 CE BOARD EXAM ALVAREZ 8
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. STRICTLY NO ERASURES
ALLOWED. GOOD LUCK.
NOTE: A times B is represented by A×B or A*B. A raised to the power n is
expressed as A^n. All problems are 1 point each.
Situation 1. As shown in Figure MEC-101, the square steel plate has a mass of
1800 kg with mass center at its center G. If the plate is to be lifted
while remaining horizontal,
1. Determine the tensile force in cable AD, in N.
A. 5,409.33 C. 551.47
B. 9,875.84 D. 1,006.71
2. Determine the tensile force in cable CD, in N.
A. 5,409.33 C. 551.47
B. 9,875.84 D. 1,006.71
3. Determine the tensile force in cable BD, in N.
A. 5,409.33 C. 551.47
B. 9,875.84 D. 1,006.71
Situation 2. To stiffen the footbridge in Figure MEC-102, a short post BD
supported by a steel cable ADC is added. The maximum tension in the cable
is 2 kN.
4. What is the maximum weight W, in kN, of a person can the footbridge carry?
A. 0.632 C. 1.897
B. 1.264 D. 3.795
5. If W = 800 N, what is the resulting force, in N, in the post BD?
A. 800 C. 632
B. 400 D. 1265
6. If the area of the cable is 113 mm2, how much is the resulting elongation
of the steel cable due to the maximum tension of 2 kN. Use E = 200,000
MPa.
A. 0.252 C. 0.126
B. 0.504 D. 0.214
Situation 3. Two uniform bars each of length 1.80 m and weight 100 N are held
in a vertical plane and rest on a smooth horizontal floor. They are pinned
together at their middle points. They support between them a cylinder of
radius 0.15 m and weight 600 N. The upper ends are tied together by the
cords as shown in Figure MEC-103. If the vertical angle between the rods
is 29º.
7. Determine the reaction between the cylinder and one bar, in N.
A. 1,049 C. 901
B. 1,198 D. 259
8. Determine the tensile force in the cable.
A. 1,049 C. 901
B. 1,198 D. 259
9. Determine the reaction at the pin connection at E.
A. 1,049 C. 901
B. 1,198 D. 259
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REVIEW INNOVATIONS ALVAREZ 8 - CE Board November 2021
Situation 4. The section of a double tee (DT) prestress concrete joist is
shown in Figure CON-104. The joists are simply supported on a span of 7.5
m and are pre-tensioned with total initial force of 1100 kN from low-
relaxation strands. The joist supports a total dead load of 2.3 kPa
(including beam weight) and live load of 6.2 kPa. There is a loss of
prestress of 20% at service loads. Unit weight of concrete is 24 kN/m3.
Properties of the section:
A = 200,000 mm2 INA = 1.880 x 109 mm4
b = 2.40 m y1 = 88 mm y2 = 267 mm y3 = 75 mm
10. Calculate the stress at the top fibers of the DT at end span due to
initial prestressing force only.
A. 5.21 MPa C C. 4.39 MPa T
B. 3.65 MPa T D. 2.85 MPa C
11. Calculate the compressive stress at the bottom fibers of the DT at midspan
due initial prestressing force only.
A. 35.49 MPa C C. 38.65 MPa T
B. 8.04 MPa T D. 28.65 MPa C
12. Calculate the additional load in kPa such that the stress at the bottom
fibers of the DT at midspan due to service loads and prestress force will
be zero.
A. 8.04 C. 3.35
B. 5.65 D. 4.86
Situation 5. Before the frame is lifted by the cable AD, its position is as
shown in figure MEC-105.
13. At what angle with the horizontal will the frame tilt?
A. 12.54º C. 6.54º
B. 15.74º D. 9.46º
14. What will be the tension in cable AB, in kN?
A. 9.765 C. 8.435
B. 6.975 D. 7.542
15. What will be the tension in cable AC, in kN?
A. 7.542 C. 9.765
B. 8.435 D. 6.975
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REVIEW INNOVATIONS ALVAREZ 8 - CE Board November 2021
C D
.E
29º
A B
Figure MEC-101 Figure MEC-103
A C
B
0.9 m
D
2.7 m 2.7 m
Figure MEC-102
3 m 3 m
3 m
B C
b
W = 12 kN
y1 4 m 3 m
y2
y3
CON-104
Figure MEC-105
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