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REVIEW INNOVATIONS
MANILA – CEBU - DAVAO
PHILIPPINES
CIVIL ENGINEERS First Preboard Examination
Sunday, February 5, 2023 3:00 p. — 6:00 p.
----------------------------------------------------------------------
PRINCIPLES OF STRUCTURAL ANALYSIS AND DESIGN SET A
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 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 the figure, the small crane is mounted on one side
of the bed of a pickup truck. For the position θ = 40°, determine the
1. the angle that the hydraulic cylinder BC makes with the horizontal
A. 61° C. 28°
B. 33° D. 56°
2. magnitude of the force (in N) supported by the pin at O
A. 4,608 C. 4,512.
B. 4,134 D. 4,068.
3. the oil pressure P (in MPa) against the 50-mm diameter piston of the
hydraulic cylinder BC.
A. 1 C. 1.
B. 2 D. 2.
Situation 2. As shown in the figure, the uniform 10-kg rod AB is supported by
a ball and socket joint at A and by the cord CG that is attached to the
midpoint G of the rod. Knowing that the rod leans against a frictionless
vertical wall at B, determine the
4. tension in the cord, in N
A. 86 C. 52.
B. 36 D. 73.
5. reaction at B, in N
A. 86 C. 52.
B. 36 D. 73.
6. x-component of the reaction at A, in N
A. 86 C. 52.
B. 36 D. 73.
Sunday, February 5, 2023 3:00 p. — 6:00 p. Page 2
PRINCIPLES OF STRUCTURAL ANALYSIS AND DESIGN SET A
Situation 3. The simple truss shown in the figure supports two loads, each of
magnitude L = 100 N.
7. Determine the force in member DE, in N.
A. 101 (T) C. 19 (T)
B. 101 (C) D. 19 (C)
8. Determine the force in member GF, in N.
A. 64 (T) C. 60 (T)
B. 64 (C) D. 60 (C)
9. Determine the force in member DF, in N.
A. 64 (T) C. 60 (T)
B. 64 (C) D. 60 (C)
Situation 4. Using the figure below and μs = 0.,
10. Determine the smallest force (in N) the man must exert on the rope in order
to move the 80-kg crate.
A. 550 C. 451.
B. 239 D. 620.
Sunday, February 5, 2023 3:00 p. — 6:00 p. Page 4
PRINCIPLES OF STRUCTURAL ANALYSIS AND DESIGN SET A
Situation 7. Refer to Figure RCF-001 and RC-04. A reinforced concrete floor
consists of beams (b x h = 300 mm x 500 mm). Clear concrete cover = 50
mm; S 1 =S 2 =S 3 = 2; L 1 = 5; L 2 = 6; L 3 = 5; concrete strength,
f’c = 28 MPa; steel strength, fy = 415 MPa; main reinforcement = 20 mm
diameter; stirrups = 10mm diameter. Assume 300x300 column dimensions. U
= 1 + 1.
19. For the continuous beam IJKL, determine the critical factored moment (kN-m)
if it carries a total dead load of 25 kN/m and a floor live load of 2 kPa.
A. 130 C. 128.
B. 142 D. 117.
20. For the continuous beam IJKL, determine the required number of tension bars
at end J, of beam IJ, if it carries a total dead load of 25 kN/m and a floor
live load of 2 kPa.
A. 2 C. 4
B. 3 D. 5
21. For the continuous beam IJKL, determine the required number of tension bars
for positive bending of beam JK, if it carries a total dead load of 25 kN/m
and a floor live load of 2 kPa.
A. 2 C. 4
B. 3 D. 5
Figure RCF-
RC-
SHEAR AND MOMENT COEFFICIENTS
Positive Moment
End spans:
Discontinuous end
unrestrained ................................................²/
Discontinuous end integral
with support ................................................²/
Interior spans ......................................................²/
Negative Moment at exterior face of first interior support
Two spans ....................................................²/
More than two spans ..................................²/
Negative Moment at other faces of
interior supports .......................................... wuln²/
Negative Moment at interior face of exterior supports for
members built integrally with supports
Where support is a spandrel beam ...........²/
When support is a column .........................²/
Shear in end members at face of first
interior support ............................................1 wuln/
Shear at face of all other
supports ........................................................ wuln/
Note: ln = clear span for positive moment or shear and
average of adjacent clear spans for negative moment
Sunday, February 5, 2023 3:00 p. — 6:00 p. Page 5
PRINCIPLES OF STRUCTURAL ANALYSIS AND DESIGN SET A
Situation 8. A three-span continuous one-way slab with thickness of 100mm is
supported by beams 3 apart. Width of the beam is 300mm. The slab carries
a total factored floor load of 8 kPa. Use f’c = 21 MPa and fy = 275 MPa.
Consider NSCP provision for spacing limit. NSCP states that spacing of flexural
bars for slabs should not exceed 3 times slab thickness nor 450 mm. Refer to
RC-04 for moment calculations.
22. Determine the required spacing of 12mm main reinforcing bars considering
critical negative moment.
A. 245 C. 180
B. 200 D. 220
23. Determine the spacing of 12mm main reinforcing bars considering critical
positive moment.
A. 250 C. 300
B. 275 D. 450
24. Find the spacing of 10mm temperature bars.
A. 250 C. 350
B. 300 D. 450
Situation 9. A two-span continuous beam shown in the figure, determine the
following:
25. Determine the deflection at midspan when the roller support at B is removed.
A. 28125/EI C. 25361/EI
B. 23437/EI D. 30245/EI
26. Determine the vertical reaction at B
A. 155 kN C. 185 kN
B. 225 kN D. 205 kN
27. Determine the vertical reaction at D
A. 52 kN C. 62.
B. 82 kN D. 92.
Figure RCF‐ 001
Sunday, February 5, 2023 3:00 p. — 6:00 p. Page 7
PRINCIPLES OF STRUCTURAL ANALYSIS AND DESIGN SET A
34. Find the critical effective slenderness ratio of the column.
A. 47 C. 61.
B. 78 D. 68.
35. Using NSCP, determine the allowable compressive stress in MPa.
A. 119 C. 188
B. 251 D. 146
36. Using NSCP, determine the allowable compressive load in kN.
A. 2710 C. 4282
B. 5716 D. 3325
Situation 13. An 8m W18x76 A36 steel beam has adequate lateral support.
Properties of W18x76: bf = 280mm tf = 17 d = 462 tw = 10 Determine
the following:
37. Find the allowable bending stress (MPa) of the beam.
A. 176 C. 149
B. 164 D. 205
38. Determine the allowable moment (kN-m).
A C. 390
B. 488 D. 419
39. Compute the safe uniform load (kN) if the beam is simply supported.
A. 48 C. 52.
B. 61 D. 44.
Situation 14. A box column is formed by welding two channel sections at the
tip of their flanges. The column has an unsupported length of 4m and
hinged at both ends (k=1)
The property of each channel section are as follows:
bf = 90mm tw = 12mm
tf = 10mm Ix = 38 6 mm 4
d = 250mm Iy =2 6 mm 4
x = 21mm A = 4560mm 2
40. What is the compressive stress (MPa) in the column due to an axial
compressive load of 900kN?
A. 98 C. 89.
B. 91 D. 102.
2
2
23(KL/r)
12 πE
Fa
Sunday, February 5, 2023 3:00 p. — 6:00 p. Page 8
PRINCIPLES OF STRUCTURAL ANALYSIS AND DESIGN SET A
41. What is the maximum bending stress (MPa) in the column due to a moment
of 70kN-m about the x-axis of the section?
A. 114 C. 96.
B. 123 D. 118.
42. What is the critical (maximum) effective slenderness ratio of the
column?
A. 48 C. 54.
B. 76 D. 65.
Situation 15. A simply supported W 350 x 90 girder, 8 m long carries a
concentrated load P positioned at midpoint point. The beam also carries
a uniform dead load of 5 kN/m (including its own weight) and live load
of 7 kN/m. Use Fy = 250 MPa and E = 200 GPa.
Properties of W 350 x 90:
d = 350 mm Ix = 266 x 10 6 mm 4
tw = 10 mm Sx = 1,510 x 10 3 mm 3
bf = 250 mm
tf = 16 mm
Allowable stresses:
Allowable deflection = L/
Flexure, Fb = 0
Shear, Fv = 0
43. Determine the value of P based on deflection in kN.
A. 18 C.`25.
B. 21 D. 50.
44. Determine the value of P based on flexure in kN.
A. 68 C. 83.
B. 75 D. 91.
45. Determine the value of P based on shear in kN.
A. 501 C. 405
B. 602 D. 701
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Preboard 1 may 2023 psad final copy
Course: Civil Engineering (BSCE 01)
136 Documents
Students shared 136 documents in this course
University: Ateneo de Davao University
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REVIEW INNOVATIONS
MANILA – CEBU - DAVAO
PHILIPPINES
CIVIL ENGINEERS First Preboard Examination
Sunday, February 5, 2023 3:00 p.m. — 6:00 p.m.
----------------------------------------------------------------------
PRINCIPLES OF STRUCTURAL ANALYSIS AND DESIGN SET A
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 the figure, the small crane is mounted on one side
of the bed of a pickup truck. For the position θ = 40°, determine the
1. the angle that the hydraulic cylinder BC makes with the horizontal
A. 61.15° C. 28.85°
B. 33.82° D. 56.18°
2. magnitude of the force (in N) supported by the pin at O
A. 4,608.86 C. 4,512.03
B. 4,134.26 D. 4,068.71
3. the oil pressure P (in MPa) against the 50-mm diameter piston of the
hydraulic cylinder BC.
A. 1.73 C. 1.64
B. 2.58 D. 2.97
Situation 2. As shown in the figure, the uniform 10-kg rod AB is supported by
a ball and socket joint at A and by the cord CG that is attached to the
midpoint G of the rod. Knowing that the rod leans against a frictionless
vertical wall at B, determine the
4. tension in the cord, in N
A. 86.76 C. 52.12
B. 36.80 D. 73.58
5. reaction at B, in N
A. 86.76 C. 52.12
B. 36.80 D. 73.58
6. x-component of the reaction at A, in N
A. 86.76 C. 52.12
B. 36.80 D. 73.58
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