PSAD

Question 1

A projectile is fired from the edge of a 60m cliff with an initial velocity of 60m/sec at an angle 60 0 with the horizontal. Neglecting air resistance.
1.The horizontal distance in meters from the gun to the point where it strikes the ground is
a) 152.5 b) 226.6 c) 264.9 d) 349.3
2.The time the projectile strikes the ground after it is fired is
a) 19.5 b) 12.2 c) 13.1 d) 11.6
3.The greatest elevation above the ground reached by the projectile
a) 276.5 b) 255.3 c) 360.5 d) 197.6

Answer 1

D, D, D

Question 2

The block shown in figure below is acted upon by its weight 200kg, a horizontal force 600kg, and the pressure P exerted by the inclined plane. The resultant R of these forces is up and parallel to the incline thereby sliding the block up it.
1. The magnitude of P in newton is about
a) 6701 b) 5223 c) 4806 d) 5745
2. Which of the following gives the magnitude of the resultant force in Newton
a) 2873 b) 4532 c) 5360 d) 4403
3. Which of the following gives the direction of the resultant with respect to horizontal
a) 15 b) 45 c) 60 d) 30

Answer 2

C, A, D

Question 3

The three hinged arched is subjected to the two concentrated forces shown.
1. The reaction at C is
a) 6.15 b) 8.03 c) 7.91 d) 9.05
2. The reaction at B is
a) 6.15 b) 8.03 c) 7.91 d) 9.05
3. The reaction at A is
a) 26.15 b) 20.26 c) 23.65 d) 24.05

Answer 3

B, B, B

Question 4

For the figure loaded as shown. (3d figure na XYZ plane)
1. The reaction at C in Newton is
a) 459.3 b) 894.4 c) 360.2 d) 418
2. The reaction at B is
a) 612.4 b) 670.8 c) 360.2 d) 418.3
3. The reaction at D is
a) 612.4 b) 894.4 c) 360.2 d) 313.7

Answer 4

A, B, D

Question 5

Cable ACB supports a load uniformly distributed along the horizontal as shown. The lowest Point C is located 9 m to the right of A.
1. The vertical distance “a” in m of the cable.
a) 6.15 b) 5.2 c) 3.60 d) 4.05
2. The length in m of the cable is
a) 16.4 b) 15.9 c) 16.2 d) 15.5
3. The tension in N at A is
a) 2639.6 b) 3890.2 c) 2300.1 d) 3532.2

Answer 5

D, A, A

Question 6

A ball is dropped from the top of a tower 50 m high at the same instant that a second ball is thrown upward from the ground with an initial velocity of 20 m/s.
1. When do they pass each other is.
a) 6.15 b) 5.2 c) 3.60 d) 2.50
2. The height in meters travel by the 1st ball from the top of the tower as they pass each other is
a) 30.7 b) 15.9 c) 16.2 d) 15.1
3. The height in meters of the 2nd ball from the ground as they pass each other is
a) 29.1 b) 19.3 c) 12.8 d) 10.9

Answer 6

D, A, B

Question 7

A load W = 100kN is to be lifted using the crane which is hinged at B as shown. Neglecting the weight of the crane,
1. The force in kN of cable AC is
a) 113.1 b) 121.2 c) 212.5 d) 131.4
2. The reaction in kN at support B is
a) 141 b) 136 c) 197 d) 139
3. The largest load that can be lifted if the minimum force of cable AC is 100kN is
a) 94.1 b) 88.4 c) 76.4 d) 64.5

Answer 7

A, C, B

Question 8

The force which determines if the body is in equilibrium or in state of motion is the
a) Reverse effective force
b) Resultant force
c) Impulsive force
d) Normal force

Answer 8

B. RESULTANT FORCE

Question 9

The study of forces acting on the rigid body in motion is known as
a) Mechanics
b) Statics
c) Dynamics
d) Kinematics

Answer 9

C. DYNAMICS

Question 10

The moment of a force about a point is equal to the sum of the moments of its components about that point is known as
a) Transmissibility principle
b) Varignon’s theorem
c) Pappus theorem
d) Principle on centroids

Answer 10

B. VARIGNON’S THEOREM

Question 11

A tangential force acting opposite a body in motion
a) Kinetic friction
b) Static friction
c) Centrifugal force
d) Impulsive force

Answer 11

A. KINETIC FRICTION

Question 12

A hollow cast iron pole has an outside diameter of 500mm and an inside diameter of 450mm. It is subjected to a compressive force of 2000kN throughout its length 2m. The pole is laterally braced. E = 100 000Mpa.
1. The axial compressive stress in MPa is
a) 53.6 b) 19.2 c) 62.1 d) 43.4
2. The axial deformation in mm due to applied force is
a) 1.07 b) 2.18 c) 1.99 d) 1.58
3. The axial load in kN if axial compressive strain is 0.000003
a) 15.12 b) 11.19 c) 26.23 d) 23.3

Answer 12

A, A, B

Question 13

A 3m long steel plate having a cross section of 20mm by 300mm is use as a hanger and subjected to a tensile load of 1,200kN. The proportional limit of the steel is assumed to be 250Mpa. If the Poisson’s ratio is 0.25
1. Which is the total axial deformation in mm?
a) 2.0 b) 2.5 c) 3.0 d) 4.1
2. Which is transverse strain in1.0x10-4?
a) 1.78 b) 2.5 c) 5.5 d) 6.5
3. The transverse dimensional change in mm along 300mm
a) 0.075 b) 0.109 c) 0.021 d) 0.06

Answer 13

C, B, A

Question 14

A rigid bar ABC is pinned at A and supported by the cables at point C. The 20mm rod is pinned connected. If the load is100kN and that E = 200Gpa. The coefficient of thermal expansion is 12 x10-6
1. The displacement at C in mm if temperature rises by 60* is
a) 4.18 b) 6.08 c) 8.02 d) 5.26
2. The stress in MPa induced by the load only on rod CD
a) 366 b) 136 c) 414 d) 557
3. The displacement at B in mm if temperature rises by 60* is
a) 4.18 b) 6.08 c) 9.2 d) 10.1

Answer 14

D, D, C

Question 15

A water tank 5m height has an outside diameter of 610mm and having a thickness of 5mm. if it is subjected to internal pressure of 2Mpa.
1. The circumferential stress in MPa is
a) 122 b) 120 c) 61 d) 60
2. The longitudinal stress of the tank in MPa is
a) 122 b) 120 c) 60 d) 61
3. The internal pressure of the tank in MPa if the allowable design is 150Mpa is
a) 2.8 b) 1.2 c) 1. 6 d) 2.5

Answer 15

B, C, D

Question 16

For the barge loaded as shown
1. The length L in m so that the upward pressure is uniform and that the barge remains horizontal,
a) 12 b) 15 c) 18 d) 16
2. The shear in kN at 3m from the left end if the upward pressure is 72kN/m
a) 435 b) 261 c) 219 d) 870
3. The distance in m from the left end so that the shear is zero if the upward pressure is 87kN/m
a) 5 b) 3 c) 4 d) 9

Answer 16

B, C, A

Question 16

A drive shaft for a truck has a diameter of 75mm is running at 2500 rpm
1. The equivalent torque in N-m if the shaft transmits 100kW
a) 573 b) 382 c) 523 d) 118
2. The maximum shear stress in MPa
a) 5.74 b) 7.66 c) 4.61 d) 6.18
3. The maximum power in kW that can be transmitted if the shear stress is limited to 30Mpa
a) 368 b) 135 c) 425 d) 651

Answer 16

B, C, D

Question 17

A jeepney with axle load of 4KN and 8KN has a wheel base of 3m. If the jeepney will pass over a deck bridge with simple span of 6m,
1. The maximum shear force in KN is about
a) 8 b) 10 c) 12.5 d) 5
2. The maximum moment in KN-m is about
a) 8 b) 10 c) 12.5 d) 5
3. The location of maximum moment from left support in meters is
a) 2.5 b) 3 c) 3.5 d) 5

Answer 17

B, C, C

Question 18

For the state of plane stress shown
1. The maximum normal stress in MPa is
a) 50 b) -30 c) 70 d) -40
2. The maximum shear stress in Mpa is
a) 50 b) -30 c) 70 d) -40
3. The minimum normal stress in MPa is
a) 50 b) -30 c) 70 d) -40

Answer 18

C, A, B

Question 19

The ratio of the lateral strain to that of the linear strain is
a) Modular Ratio
b) Poisson’s Ratio
c) Strain-Stress Ratio
d) Strain Ration

Answer 19

B. POISSON’S RATIO

Question 20

For the cantilever beam loaded as shown having E =200 000Mpa is restricted to have a maximum deflection at point C of 27.78mm. Determine the following
1. The moment of inertia in 1.0x109 mm4
a) 5.625 b) 10.27 c) 6.15 d) 13.4
2. The deflection in mm at B
a) 8.89 b) 6.18 c) 7.99 d) 5.58
3. The slope at C in degrees
a) 0.23 b) 0.19 c) 1.23 d) 3.32

Answer 20

A, A, A

Question 21

For the truss loaded as shown. Area of each bar is 1,000mm2. E = 70GPa
4. The axial force in kN of bar BC is
a) -50.08 b) -97.22 c) -70.81 d) -87.23
5. The horizontal deflection in mm at B is about
a) 1.78 b) 2.5 c) 4.2 d) 6.5
6. The vertical deflection in mm at B is about
a) 3.75 b) 4.19 c) 2.21 d) 5.95

Answer 21

B, C, D

Question 22

A timber beam 100x200mm is reinforced with steel plates 6x200mm, and is rigidly attached side by side to the beam. The allowable stress of the wood is 8MPa and 120Mpa for the steel plate. If n = 10,
7. The capacity in kN-m of the timber beam alone is
a) 5.33 b) 6.08 c) 8.02 d) 7.26
8. The capacity in kN-m of the composite beam is
a) 17.67 b) 13.65 c) 14.14 d) 11.73
9. The moment of inertia of the composite beam in 1.0x106mm4
a) 118.1 b) 160.8 c) 219.2 d) 146.7

Answer 22

A, D, D

Question 23

For the loaded beam given below, with EI constant
14. The end moment at A in kN-m is about
a) -1.28 b) -2.91 c) -3.7 d) -2.82
15. The moment at B in kN-m is about
a) -13.2 b) -10.1 c) -11 d) -12.2
16. The vertical reaction at C in kN is about
a) 8.8 b) 7.2 c) 7.9 d) 9.3

Answer 23

C, C, D

Question 24

A box beam 260x310 mm is constructed from awood beam two 260x25mm boards
(top and bottom) and two 260x50mm boards. The boards are nailed at a longitudinal spacing of 100mm on centers. Each nail has an allowable shear force of 1200N. The beam has a span of 6m. The beam is uniformly distributed in KN/m.
17.The allowable shear force in kN is about
a) 10.7 b) 42.7 c) 72.1 d) 22.1
18.The moment of inertia in 1 x 106 mm4 of the section is about
a) 387.2 b) 411.1 c) 272.2 d) 333.3
19.The maximum bending stress in mPa is about.
a) 7.72 b) 4.27 c) 6.02 d) 8.35

Answer 24

A, B, C

Question 25

A rectangular bar, 25 mm x 50 mm in cross section is subjected to a tensile force, P = 80 kN. Plane A-A makes and angle, θ = 300 with the x-axis.
20. What is the tensile stress in MPa on plane A – A?
a) 27.7 b) 48 c) 60 d) 45
21. Find the shear stress in MPa on plane A - A?
a) 27.7 b) 48 c) 60 d) 45
22. At what angle in degrees of plane A - A is the shear stress maximum?
a) 27.7 b) 48 c) 60 d) 45

Answer 25

B, A, D

Question 26

The continuous beam as shown is built into a girder at A and a column E. It carries a factored live load of 25kN/m and a factored dead load of 15kN/m. The masonry wall at A does not offer restraint in beam AB.
Use ACI Moment Coefficient.
23. The service moment at A in kN-m is
a) -50.5 b) -60.0 c) -90.0 d) -120.0
24. The service moment a E in kN-m is
a) -60.0 b) -169.0 c) -90.0 d) -202.5
25. The service moment midway of beam DE in kN-m is about
a) 130.9 b) 204.6 c) 122.5 d) 231.4

Answer 26

B, D, D

Question 27

A 12 m. long beam is simply supported at the right end and at 2 m. from the left end. It is subjected to a highway lane load consisting of 9.35kN/m uniformly distributed load and 116 kN concentrated
load. Based on the influence line at mid-span,
1. The critical positive moment in kN-m at the mid-span due to highway lane load is about
a) 309.2 b) 254.5 c) 328.5 d) 407
2. The critical negative moment in kN-m at the midspan due to highway lane load is about
a) 125 b) 119 c) 168 d) 158
3. The critical shear in kN at the mid-span due to highway lane load is about
a) 89.2 b) 20.4 c) 65 8 d) 72

Answer 27

D, A, D

Question 28

Bolts in the lap joint shown are 25 mm in
diameter. Holes are 27 mm in diameter. The plates are A36 with Fy = 250 MPa and Fu = 400 MPa. The thickness of both plates is 16 mm. The allowable stresses are:
Bearing stress on the area of plates, Fp = 1.5 Fu. Tension on net area of plates, Ft = 0.5 Fu. Shear on plates, Fv = 0.3 Fu. Shear strength of the bolt, Fv = 210 MPa
4. The value of P in kN based on bolt shear is about
a) 528.2 b) 791.3 c) 618.5 d) 823.3
5. The value of P in kN based on plate bearing is about
a) 2354 b) 4356 c) 1440 d) 1110
6. The value of P in kN based on block shear is about
a) 898 b) 720 c) 793 d) 822

Answer 28

C, C, D

Question 29

For The beam W 410mm x 67 kg/m with 8mm web thickness subjects the girder W 530mm x 109 kg/m with 12mm web thickness to a shear load, P. Two angle 90mm x 90mm x 6mm with 4-22 mm bolts
frame the beam to the girder as shown.

Bearing Stress of plate, Fp = 480MPa
Yield stress, Fy = 248 MPa
Bolt shear stress, Fv = 100 MPa
Bolt bearing stress, Fp = 220 MPa
Bolt hole diameter = 25 mm

7. The allowable load P in KN based on the shear capacity of the 4 – 22mm bolts is.
   a) 205 b) 252 c) 304 d) 365
8. The allowable load P in KN based on bolt bearing stress on the web of the beam.
   a) 175 b) 165 c) 140 d) 155
9. If P = 175 KN, the number of 28mm bolts needed to satisfy steel connection.
   a) 2 b) 3 c) 4 d) 5

Answer 29

C, D, C

Question 30

The butt connection shows 8 – 22 mm ø A 325 bolts spaced as indicated; Middle plate thickness is 16mm.
Upper and lower plates are 12mm
Yield strength, Fy = 248 MPa
Ultimate strength, Fu = 400 MPa
10. Tensile load in kN Based on the gross area of the plate,
a) 381 b) 178 c) 215 d) 285
11. Tensile load based on the net area of the plate
a) 146 b) 261 c) 219 d) 352
12. Tensile load based on block shear strength.
a) 464 b) 603 c) 480 d) 591

Answer 30

A, D, C

Question 31

A W 470 mm x 105 kg/m beam of 12 mm web thickness is spliced near the support using 15 mm thick connector plate welded to part B and bolted using 20 mm ø A 325 bolts to point A. Fy = 248
MPa, Bolt Shear stress is 120 MPa.
Dimensions are:
S1 = 40 mm; S2 = 40 mm; S3 = 80 mm; S4 = 100 mm; S5 = 40 mm; e = 180 mm
13. The shear load in kN at section A on the splice if P = 200kN is
a) 200 b) 25 c) 50 d) 100
14. The torsional bolt load in kN if P = 200 kN is
a) 200.0 b) 69.0 c) 90.3 d) 55.7
15. The critical bolt load in kN is about
a) 30.9 b) 24.6 c) 22.5 d) 69.3

Answer 31

B, D, D

Question 32

The diagonal member, a single angle 76 mm x76 mm x 6 mm with area of 929 mm2
is welded to an 8 mm thick gusset plate. L1 = 125mm; L2 = 65mm. Steel strength and stresses are as follows:
Yield strength, Fy = 248 MPa
Ultimate strength, Fu = 400 MPa
Allowable tensile stress on the gross area = 0.6 Fy
Allowable tensile stress on the net area = 0.5 Fy
Allowable shear stress on the net area = 0.3 Fy
18. The allow tensile load, P in kN by gross area is about
a) 138.2 b) 196.3 c) 124.6 d) 208.1
19. The allow tensile load, P in kN by net area is about
a) 203 b) 104 c) 158 d) 183
20. The allow tensile load, P in kN by block shear is about
a) 304 b) 104 c) 203 d) 135

Answer 32

A, C, A

Question 33

A bridge truss is subjected to a standard
highway load at the bottom chord. The highway load consists of a uniformly distributed load of 9.35 kN/m and a concentrated load of 116 kN. Angle θ = 60˚
23. The maximum vertical reaction at A due to the highway load in kN is about
a) 164.6 b) 112.2 c) 190.8 d) 142.0
24. The max. ordinate of the influence line for the force developed in member JK is about
a) 0.50 b) 0.60 c) 0.55 d) 0.58
25. The max. force (kN) that can be developed in member JK due to the highway load is
a) 90.3 b) 110.1 c) 86.5 d) 114.5

Answer 33

C, D, B

Question 34

A reinforced concrete T-beam has an effective depth of 500mm with 4-25mm re-bars at the bottom. The width of stem is 300mm and the thickness of slab is 90mm. The 6m simple beam is 1.5m center to center. F’c = 21MPa and Fy = 414MPa.
1. The effective width in mm of flange is
a) 600 b) 1740 c) 900 d) 1500
2. The depth of compression block in mm is
a) 95.74 b) 78.66 c) 54.61 d) 30.36
3. The ultimate moment capacity in kN-m is
a) 354.7 b) 261.5 c) 504.5 d) 451.2

Answer 34

D, D, A

Question 35

A 250x500mm simply supported beam reinforced with 4-25mm tension re-bars is subjected to uniform load of 60kN/m. If the modular ratio is 8 and concrete covering
is 70mm of the 4-m beam,
4. The distance in mm of the NA from the top is,
a) 252 b) 178 c) 215 d) 285
5. The maximum stress in MPa of the concrete is
a) 14.6 b) 26.1 c) 21.9 d) 18.7
6. The maximum stress in MPa of the steel is
a) 164.8 b) 203.1 c) 145.2 d) 191.2

Answer 35

B, A, A

Question 36

The Figure shown: Concrete, f’c = 28 MPa, Yield strength of 28 mm bars, fyl = 415 MPa, Yield strength of 12mm bars, fyv = 275 MPa, Clear concrete cover to the ties =
40 mm,
7. The required spacing in mm of the lateral ties for the factored shear load, Vuy = 450 KN. The allowable concrete shear stress = 0.88 MPa.
a) 90 b) 120 c) 140 d) 160
8. The maximum spacing in mm of the 12 mm lateral ties as per code is
a) 250 b) 210 c) 190 d) 300
9. The nominal load capacity in kN of
the column is
a) 10740 b) 8055 c) 5584 d) 8591

Answer 36

D, B, D

Question 37

A 450mm x 720mm rectangular beam has tension and compression covering of 70mm. The beam is simply supported with a clear span of 12m. If F’c = 21 MPa and
Fy = 420 MPa. Area of compression steel is 1,935mm2 and the tension steel is 4,024mm2. Use 2010 NSCP
10. The depth of compression block in mm is about
a) 109.2 b) 154.5 c) 128.5 d) 210.4
11. The ultimate moment capacity of the beam in kN-m is about
a) 724 b) 819 c) 568 d) 658
12. The total uniform dead load in kN/m that the beam can carry if live load is 10kN/m is
a) 49.2 b) 24.6 c) 35.6 d) 15.4

Answer 37

D, B, B

Question 38

Figure shows a tied column supporting a flat slab. Concrete, f’c = 21 MPa, Steel, fy = 275 MPa, Concrete cover to the center of longitudinal bars = 65 mm, Assume both ends of column as pinned, Flexural rigidity, EI = 550,000 kN-m2. All bars have yielded.
13. The following gives the location of the plastic centroid in mm from line 1
a) 800 b) 200 c) 300 d) 400
14. The critical buckling load, Pc in KN.
a) 835 b) 786 c) 546 d) 306
15. The ultimate axial strength in KN of the column as per NSCP 2010.
a) 3547 b) 5443 c) 5045 d) 4512

Answer 38

D, A, B

Question 39

A simply supported rectangular beam 400mm wide having an effective depth of 550mm carries a total factored dead load of 60kn/m and a factored live load of 56kn/m on a 6m clear span. It is reinforced with 6,360mm2 of tensile steel, which continues uninterrupted into the supports. f’c=20.73Mpa.
16. The design shear force in Kn, which results from the application of the factored loads is about
a) 284.2 b) 166.9 c) 215.4 d) 122.7
17. The shear capacity of the concrete beam in Kn is about
a) 284.2 b) 127.7 c) 215.4 d) 122.7
18. The distance in m where web reinforcement is no longer needed measured from the support is about
a) 1.61 b) 2.45 c) 1.45 d) 2.75

Answer 39

A, B, B

Question 40

Groups of parallel reinforcing bars bundled in contact to act as a unit shall be limited to in one bundle
a) 2 b) 3 c) 4 d) 5

Answer 40

C

Question 41

Balanced strain condition exist at a cross section when the tension reinforcement reaches strain corresponding to its specified yield strength as concrete in compression reaches its assumed ultimate strain of
a) 0.001 b) 0.002 c) 0.003 d) 0.004

Answer 41

C

Question 42

The distance measured from the extreme compression fiber to the centroid of the tension reinforcement
a) Depth of the section
b) width of the section
c) effective depth
d) length of the beam

Answer 42

C

Question 43

From the floor plan of a proposed five-story concrete building has a span of 6 m. center to center along the long direction and 2.8 m. center to center along the short direction. It carries the following loads.
DL = 4.8 kPa (wt. of slab included)
LL = 3.6 kPa
U = 1.2 D + 1.6 L
Dimensions: Beam b x h = 300 x 400
Clear concrete cover to slab = 20 mm
Slab reinforcement = 10 mm ø
Slab thickness, t = 100 mm
Concrete fc’ = 20.7 MPa
Steel fy = 275 MPa
23. Find the positive moment, + Mu in Kn-m at the span bounded by BEFC.
a) 5.1 b) 6.6 c) 4.6 d) 8.1
24. What is the spacing in mm of the 10 mm ø bars required for the negative moment, - Mu at the interior beam support BE?
a) 200 b) 255 c) 300 d) 150
25. What is the maximum spacing in mm of the 10 mm ø bars as prescribed by design codes?
a) 200 b) 225 c) 300 d) 450

Answer 43

A, A, D