PSAD COMPREHENSIVE

Question 1

A square post is made of two parts, glued at plane wxyz with an angle of θ = 25° with the vertical. The compressive stress at the glue is 6.3 MPa and the allowable shearing stress is 4.4 MPa. The axial load P = 40 kN.
4. What is the minimum post dimension B (mm) without exceeding the allowable compressive stress at the glue?
a. 33.68
b. 49.31
c. 72.22
d. 36.11
5. What is the minimum post dimension B (mm) without exceeding the allowable shearing stress at the glue?
a. 59.01
b. 40.30
c. 86.41
d. 80.60
6. What angle θ will give the maximum shearing stress?
a. 30 deg
b. 45 deg
c. 90 deg
d. 60 deg

Answer 1

A, A, B

Question 2

The connection shown in FIG. SD-003 is composed of four 25-mm bolts and carries an eccentric, horizontal load P. Given that a = 75 mm and b = 50 mm.
FIG. SD-003

7. If P150 kN, determine the maximum shear stress in the bolts, in MPa.
   a. 76.4
   b. 97.8
   c. 137.5
   d. 125.0
8. If P=150 kn, determine the minimum shear stress in the bolts.
   a. 96.7
   b. 64.5
   c. 56
   d. 79.1
9. If the allowable shear stress in the bolts is 150 Mpa, determine the safe load P that the
   connection can carry.
   A. 230
   B. 180
   C. 160
   D. 290

Answer 2

B, D, A

Question 3

10. Find the maximum shear (KN)
    A.60
    B.40
    C.30
    D.20
11. Find the maximum bending moment (kN.m) at C.
    A.7.30
    B.27.2
    C.110.8
    D.64
12. Find the maximum twisting moment (kN.m) at C.
    A.17.2
    B.64
    C.73.9
    D.110.8

Answer 3

B, D, A

Question 4

A steel beam is simply supported on a span of 12 m.
Section: W410mm x 10kg/m
A = 12,710 mm2 tf = 17mm Zy = 0.6 x 106 mm3 d = 410mm Ix = 400 x 106 mm4 Zx = 2.2 x 106 mm3 tw=10 mm Iy = 50 x 106 mm4 E = 200 GPa bf = 260mm
Loads causing bending about the major x-axis:
DL (with beam weight) = 12 kN/m
Moving LL = P kN
13. Determine the load P (kN) based on the design flexural strength of the beam, Mu. Resistance factor for flexure, Φ = 0.9
U = 1.2D + 1.6L
A. 134.8
B. 116.8
C. 83.8
D. 99.1
14. Determine the load P (kN) based on the design shear strength of the beam, Vu.
Factored shear stress, Vu = 0.6Fy
Resistance factor for shear = 1.0
A. 1165
B. 762
C. 953
D. 582
15. At service load, the allowable midspan deflection due to LL = 1/360 of the span. Determine P (kN) based on the allowable deflection.
A. 46.3
B. 74.1
C. 88.2
D. 80.8

Answer 4

B, D, B

Question 5

Light gage cold-formed steel channels used as purlins are simply supported on roof trusses 6m apart. Sagrods are provided at midspan.

Given:

Roof Slope: 1V:4H
Dead Load (purlin weight included) = 720 Pa
Live Load = 1000 Pa

Wind Load = 1440 Pa
Properties of C-Purlin: C200x76
Sx = 6.19x10^4 mm^3
Sy = 1.38x10^4 mm^3
Fbx = Fby = 207 Mpa

Wind Pressure Coefficient:
@ Windward side, pressure = 0.18
@ Leeward side, suction = 0.60

16. What is the safe purlin spacing (m) due to D+L?
    A. 0.8
    B. 1.0
    C. 1.3
    D. 1.5
17. What is the maximum spacing of purlins (m) due to loads, D,L and W at the leeward side?
    A. 1.4
    B. 1.8
    C. 2.0
    D. 3.0
18. What is the maximum spacing of purlins (m) due to loads, D +L + W at the winward side?
    A. 1.3
    B. 1.6
    C. 1.9
    D. 2.2

Answer 5

C, D, B

Question 6

The truss shown in FIG. PSAD-004 is to be subjected to the following loadings:
Moving concentrated live load = 40 kN
Uniform highway live load = 12.7 kN/m
Uniform dead load = 10 kN/m
The ordinates for the influence line of the force acting on member CH are also given as follows: 0,-0.417, 0.833, 0.417, 0.

19. Determine the length of span where the uniform highway live load be placed to obtain maximum tensile force in member CH.
    A. 8.67 m
    B. 5.33 m
    C. 7.33 m
    D. 10.67 m
20. Determine the maximum tensile force in member CH
    A. 134.22 kN
    B. 89.78 kN
    C. 123.11 kN
    D. 109.00 kN
21. If the cross-sectional area of member Ch is 1200 mm2, determine the maximum tensile stress in member CH.
    A. 111.85 MPa
    B. 102.59 MPa
    C. 990.83 MPa
    D. 74.85 MPa

Answer 6

D, C, B

Question 7

A bar is subjected to uniaxial stress and the corresponding mohr circle is drawn.
Find the area (cm2) of the bar if it is acted on by a tensile force of 120 kN.
A. 30.0
B. 7.5
C.10.0
D. 15.0
23. Find the normal stress (MPa) on a plane 25 degrees from the horizontal.
A. 3.8
B. 25.7
C. 14.3
D. 9.4
24. Find the shear stress (MPa) on a plane inclined at 25 degrees from the direction of loading
A. 16.9
B. 25.7
C. 14.3
D. 30.6

Answer 7

D, C, D

Question 8

.Refer to FIG RC-004. The design of a simple beam yields the following.
As’ = 3 of 25 mm dia bar
h1 = 125 mm
As = 5 of 25 mm dia bar
h2 = 525 mm
a (measured center to center = 60 mm b = 400 mm
Concrete compressive strength, f’c = 28 MPa
Shear Strength reduction factor = 0.75
Longitudinal steel yields strength, fy = 415 MPa
Concrete cover to 12 mm dia ties = 40 mm
Stirrups yield strength, fyv = 275 MPa

25. Calculate the shear strength (kN) provided by 12 mm diameter ties spaced at 125 mm on center
    A. 437
    B. 392
    C. 419
    D. 415
26. Calculate the shear strength provided by the concrete.
    A. 211
    B. 189
    C. 199
    D. 202
27. If the allowable concrete shear stress is 0.80MPa, determine the required spacing of 12mm diameter stirrups for a factored shear force of 500kN.
    a. 107
    b. 300
    c. 280
    d. 140

Answer 8

C, D, A

Question 9

SITUATION.
The slab shown in the figure carries the following loads.
Floor Finish = 1.1 kPa F’c = 21 Mpa
Ceiling load = 0.30 kPa Fy = 275 Mpa
Live Load = 4.5 kPa L1 = 6.5m L2 = 7.0m
Beam Dimension, 350 by 450 mm S1 = 2.8m S2 = 3.2 m
Unit weight of concrete, 24 kN/m^3
0

28. Calculate the minimum thickness (mm) of the slab bounded by GHKL
    a. 120
    b. 140
    c. 100
    d.110
29. Using a uniform thickness of 100mm, calculate the negative factored moment (kN-m) bounded by the slab CDGH.
    a. 5.88
    b. 6.88
    c. 7.96
    d. 8.82
30. Calculate the positive factored moment (kN-m) bounded by slab GHKL.
    a. 6.82
    b. 5.90
    c. 5.04
    d. 8.60

Answer 9

C, B, A

Question 10

31. A tied column 350x500mm is reinforced with 8-25mm bars equally distributed on its shorter sides, with the eccentricity measured parallel to the longer side. Neglect slenderness effects, fc’=20.7 MPa and Fy=415 MPa, use 40mm clear cover with tie diameter 10mm. Es=200 GPa.
    Which of the following gives the nominal load (kN) that the column could carry?
    A. 3712
    B. 3016
    C. 2413
    D. 4640
32. Which of the following gives the balance load in kN?
    A. 1613
    B. 815
    C. 1354
    D. 925
33. Determine the balance moment in kN-m.
    A. 876
    B. 495
    C. 236
    D. 480

Answer 10

A, C, B

Question 11

Refer to the FIG. PSAD-005. A uniform load of 112kN/m is acting downward and supported by and upward pressure of 48kN/m.

34. Determine the maximum shear.
    A. 48
    B. 144
    C. 96
    D. 84
35. Determine the maximum moment.
    A. 24
    B. 48
    C. 42
    D. 72
36. Determine the distance from the left to which the flexural stress is zero.
    A. 1.75
    B. 3
    C. 3.5
    D. 1.5

Answer 11

A, C, C

Question 12

A hollow pipe 1.8m long has an inner diameter of 350mm and an outer diameter of 450mm. The pipe is subjected to a compressive force of 1200kN. Given E = 110 GPa.
37. Determine the compressive stress (MPa) in the pipe.
A. 19.1
B. 12.6
C. 11.9
D. 24.5
38. Compute the deformation of the pipe in mm.
A. 0.331
B. 0.113
C. 0.313
D. 0.425
39. If the strain of the pipe resides 0.0002 mm/mm what axial load must be applied?
A. 1328.3 kN
B. 145.28 kN
C. 1204.1 kN
D. 1382.3 kN

Answer 12

A, C, D

Question 13

Refer to the figure shown.
Given: a = 0.5 m P = 300 kN
b = 0.3 m
C = 0.7 m
Allowable weld shear = 193 MPa

40. If the force P is acting on the centroid of the weld group, determine the shear force(N) per millimeter of the weld
    A. 231
    B. 273
    C. 375
    D. 333
41. Determine the maximum force(N) carried by the welds per millimeter.
    A. 1543
    B. 1051
    C. 963
    D. 1247
42. IF R= 100 N/mm, determine the required weld thickness (mm).
    A. 6
    B. 8
    C. 10
    D. 12

Answer 13

B, D, B

Question 14

The flooring of a warehouse is made up of double tee joists (DT) in FIG. PCD-OOI. The joists are simply supported on a span of 7.5m and are pre tensioned with one tendon in each stem with in initial force of 745 KN each, located at 75mm above the bottom fiber, loss of stress at service load is 20%.
Load imposed on the joists are:
Dead load = 2.3 KPa
Live load = 6.0 KPa
Properties of DT:
A = 200,000mm^2
I = 1880 x I0^6 mm^4

43.Calculate the resulting stress at the neutral axis (MPa) at the supports.
a. 0
b. 7.45
c. 5.96
d. 4.75
44.Compute the resulting stress at the top fibers (MPa) of the DT at the support due to service loads and prestressing force.
a. 5.94 (T)
b. 48.08 (C)
c. 4.75 (T)
d. 38.46 (C)
45. Compute the resulting stress at the top fibers (MPa) of the DT at midspan due to service loads and prestressing force?
A. 1.81
B. 31.91
C. 18.58
D. 15.14

Answer 14

C, C, A

Question 15

46. When a material is to repeated cycle of stress or strain, what causes its structure to breakdown ultimately leading to fracture?
    A. Creep
    B. Plasticity
    C. Fatigue
    D. Yielding

Answer 15

C

Question 16

47. When a material has to support a load for a period of time, what causes it to continue to deform until a sudden fracture occurs?
    A. Creep
    B. Plasticity
    C. Fatigue
    D. Yielding

Answer 16

A

Question 17

48. In what condition is a material when it breaks down and deforms permanently even due to a slight increase in stress above the elastic limit?
    A. plasticity
    B. fatigue
    C. yielding
    D. Creep

Answer 17

A

Question 18

A simply supported beam has a span of 12m. It carries a total uniformly distributed load of 21.5 kN/m. To prevent excessive deflection, a support is added at midspan.
49. Calculate reaction at the added support.
A. 96.75
B. 161.25
C. 80.62
D. 48.38
50. Calculate resulting moment kN-m at the added support.
A. 86.0
B. 258.0
C. 64.5
D. 96.8
51. Calculate the resulting max. positive moment.
A. 77.4
B. 96.81
C. 54.4
D. 108.8

Answer 18

B, D, C

Question 19

The pile cap shown in FIG. RC-005 supports a 500-mm square column. The pile cap is supported by 9 square piles with a dimension of 350mm and the effective depth of the pile cap is 430mm.

52. Calculate the critical punching shear stress due to the loads.
    a. 0.77 MPa
    b. 0.58 MPa
    c. 0.55 MPa
    d. 0.67 MPa
53. Compute the ultimate wide beam shear stress.
    a. 0.18 MPa
    b. 0.13 MPa
    c. 0.77 MPa
    d. 0.58 MPa
54. Determine the moment at the critical section.
    a. 693.33 kN-m
    b. 346.67 kN-m
    c. 606.67 kN-m
    d. 520 kN-m

Answer 19

A, A, C

Question 20

A closed cylindrical pressure vessel of 550mm diameter and 3.5mm thick is carrying an internal pressure of .1.2MPa.

55. Determine the tangential stress in MPa.
    A. 94.29 MPa
    B. 47.14 MPa
    C. 98.49 MPa
    D. 23.54 MPa
56. Determine the bursting force per meter length of the vessel.
    A. 2310
    B. 285.10
    C. 660
    D. 330
57. What is the maximum shear stress.
    A. 22.13
    B. 47.14
    C. 94.29
    D. 23.57

Answer 20

A, C, B

Question 21

The decorative beam shown is simply supported on spam of 6m.
58.) What is the bending moment (KN-m) that will cause the beam to crack?
A. 36.95
B. 46.77
C. 52.91
D. 65.94
59.) Determine the bending stress (MPa) in the extreme fiber in compression due to cracking moment?
A. 2.15
B. 1.85
C. 2.48
D. 3.45
60.) In addition to its own weight, what uniformly distributed load can the beam safely carry before it cracks?
A. 6.58
B. 10.4
C. 16.59
D. 4.32

Answer 21

B, C, A

Question 22

A bin holds three identical cylinder as shown. Each cylinder weighs 1200N and has a radius of 600 mm the width of the bin is 2.4m neglect friction.

61. Which of the following gives the reaction at point F?
    A. 341.62
    B. 0
    C. 692.82
    D. 263.14
62. Which of the following gives the reaction at C?
    A. 346.41
    B. 600
    C. 692.82
    D. 300

63.) Which of the following gives the reaction at point E?
A. 346.41
B. 600
C. 692.82
D. 300

Answer 22

61. 1800
62. 0
63. A

Question 23

A steel column with unsupported length equal to 4.5m is to support an elevated floor. The section to be used is L100 x 100 x 16 mm. Use A36 steel.

64. Determine the Euler’s Critical Buckling load. K=0.5
    A. 152.10
    B. 362.24
    C. 1077.29
    D. 452.31
65. Determine the allowable axial capacity of the column. Ωc = 1.67and k=0.5
    A. 125.33
    B. 223.20
    C. 372.74
    D. 335.47
66. Determine the length of the column based on the limit of slenderness ratio for a compression member. The column is hinged on both ends.
    A. 4 m
    B. 3.9 m
    C. 8 m
    D. 7.9 m

Answer 23

C, B, B

Question 24

A concrete slab given in the fig. Have a total weight of 60kN. Assuming that its weight is uniformly distributed across its area.

67. Determine the tensile force acting on the cable at A.
    A. 0
    B. 20
    C. 24
    D. 16
68. Determine the tensile force acting on the cable at B.
    A. 0
    B. 20
    C. 24
    D. 16
69. If the tensile strength of cable B is equal to 15 kN, determine the allowable weight of slab
    a. 45 kN c. 30 kN
    b. 60 kN d. 25 kN

Answer 24

B, B, A

Question 25

The 2L 76 mm x 76 mm x 8 mm diagonal member (Ag = 2300 mm²) at the left of the connection shown is bolted to the 8 mm thick gusset plate.
Given: Bolt diameter = 20mm Allowable tensile stress on gross area = 148 MPa
Bolt hole = 24 mm
Allowable tensile stress on net area = 200 MPa
Distances: s1=s2=s3= 50 mm
Allowable shear stress on net area = 120 MPa
S4= 40 mm
Allowable bolt shear stress, Fv = 128 MPa
Fy = 248 MPa
Fu = 400 MPa
(note: 2L 76 mm x 76 mm x 8 mm jd na ang dimension, ayw sunda ang naa sa pic)

70. Calculate the allowable tensile load P based on shearing on the bolts, in (kN
    a. 120.63 c. 226.19
    b. 241.27 d. 113.10
71. Calculate the allowable tensile load on net area rupture using strength reduction coefficient of 85%
    a. 391 kN
    b. 421.6 kN
    c. 325.72 kN
    d. 358.36 kN
72. Calculate the allowable tensile load P based on block shear strength of double angle
    a. 262.4 kN
    b. 273.92 kN
    c. 131.20 kN
    d. 136.96 kN

Answer 25

B, C, A

Question 26

A typical precast joist 300x400 mm are cast using a concrete strength f’c= 28 mpa. The resulting tensile strength is 3.28 mpa. It is simply supported on a span of 4m. Unit weight of concrete is 23.5 km/m^3.

73. ) Calculate the Cracking moment.
    A. 24.26
    B. 26.24
    C. 34.99
    D. 39.49
74. ) If the beam has a concentric 100 mm-square hole, calculate the cracking moment in kn-m.
    A. 21.60
    B. 28.60
    C. 26.10
    D. 26.80
75. ) If the beam has a 100mm-square hole with its centroid located 150mm below the top most fiber of the section, calculate cracking moment.
    A. 26.25
    B. 25.66
    C. 25.09
    D. 25.69

Answer 26

B, C, A