Civil Engineering Online Review

The steel frame is braced against joint translation (sideways). The girders have moment of inertia I=0.0003107 m⁴ and the columns have I=0.0000457m⁴. The columns are properly attached to footings. Use the alignment chart

Multipliers for Rigidly Attached Members

1. Which of the following most nearly gives the stiffness of column C5?

A. 2.12 x 10^-5
B.1.24 x 10^-5
C. 1.58 x 10^-5
D. 3.21 x 10^-5
2. Which of the following most nearly gives the G on top of column C3?
A. 0.48
B. 0.69
C. 0.12
D. 0.32
3. Which of the following most nearly gives the effective length of column C3?
A. 2.44m
B. 2.68m
C. 3.21m
D. 2.87m

Solution:

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Samples for strength tests of each class of concrete placed each day shall be taken not less than once a day, or not less than once for every 120cubic meters of concrete, or not less than once for each 500 square meters of surface area for slabs or walls.

The first paragraph states the provision for the frequency of testing for concrete. It is required to determine the required number of test sample per day for the following item.

Column     :        1m x 1m x 3.5m            12pcs

Beam         :        1m x 1.7m x 6m            17pcs

Slab           :        6m x 3m x 0.3m            8pcs

Shear wall :        6m x 3m x 0.3m            4pcs

1. Which of the following gives the volume of concrete in columns in cubic meter?
A. 58
B. 42
C. 22
D. 174
2. Which of the following gives the total area of shear wall in square meter?
A. 160
B. 124
C. 72
D. 288
3. Which of the following gives the required number of test per day according to NSCP?
A. 3
B. 2
C. 4
D. 1

Solution:

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The implementing rules and regulations of P.D. 1594 states that for a unit price contract, quantity overruns or underruns of not more than 15% of the estimates per major pay item and 25% er minor item need not be covered by a Change Order provided that the same is authorized by the approving authority of the contract. Major items are defined as pay items representing at least 20% of the AAE or the first two items having the highest percentage of the AAE, or those indicated/ specified in the instruction to bidders.

The quantities and contract prices of a project are as follows:

1. Which of the following most nearly gives the cost of labor and equipment per kilogram?
A. P4.3
B. P6.3
C. P7.9
D. P5.2
2. Which of the following most nearly gives the cost of materials per kilogram?
A. P14.11
B. P10.47
C. P18.21
D. P15.52
3. Which of the following most nearly gives the unit cost of the project per kilogram?
A. P30.21
B. P38.65
C. P20.14
D. P25.47

Solution:

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A project has been bid out by the Department of Public Works and Highways. The approved agency estimate (AAE) is P1000M. The results of four bids are as follows:

Bidder A ………………….. P1300

Bidder B ………………….. P700

Bidder C ………………….. P500

Bidder D ………………….. P900

Note: All units are in thousand of pesos.

The implementing rules and regulations of P.D. 1594 states that no award of contract shall be made to a bidder whose bid price is higher than the allowable government estimate (AGE) or the Approved Agency Estimate (AAE), whichever is higher, or lower than 70% of the AGE. The allowable government estimate (AGE) is defined as one half the sum of the AAE and the average of all responsive bids, for the purposes of determining the average of responsive bids, bids higher than 120% of the AAE or lower than 60% of the AAE shall not be considered. No. negotiation will be allowed to bring down the bid to the level of the AAE/AGE.

1. Which of the following gives the maximum bid to be considered is responsive bid, in millions of pesos:
A. P1300
B. P1100
C. P1200
D. P900
2. Which of the following gives the minimum bid to be considered as responsive bid, in millions of pesos:
A. P900
B. P1200
C. P600
D. P800

3. Which of the following gives the complete list of responsive bidders:
A. Bidders B & D
B. Bidders A & C
C. Bidders B, C, & D
D. Bidders A, B, & D

Solution:

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A rectangular reinforced concrete beam has a width of 300mm and an effective depth of 450mm to tension bars. The beam is reinforced with six 32-mm-diameter tension bars and two 28-mm-diameter compression bars with centroid 65mm from extreme concrete fiber. Concrete strength f_c=34.5MPa and steel strength f_y=345MPa. Assume that the contribution of the compression steel cannot be neglected and that compression steel yields.

1. Which of the following most nearly gives the balanced steel ratio if the beam were singly reinforced:
A. 0.044
B.0.033
C. 0.055
D. 0.022
2. Which of the following most nearly gives the balanced steel ratio for doubly reinforced considering the effect of the compression steel:
A. 0.048
B. 0.059
C. 0.062
D. 0.053
3. Which of the following most nearly gives the ultimate moment capacity of the beam in KiloNewton-Meter.
A. 632
B. 724
C. 517
D. 571

Solution:

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The beam shown is 50mm wide and 200mm deep. The 100-kN load acts at the centroid of the beam. Include the shearing stress caused by the load.

1. Which of the following most nearly gives the shearing stress at B in the x-axis in MegaPascals:
A. 80
B. 85
C. 75
D. 70
2. Which of the following most nearly gives the shearing stress at B in xy-plane in MegaPascals:
A. 8.54
B. 9.74
C. 10.98
D. 12.32
3. Which of the following most nearly gives the direction (angle) of the principal stress in the xy-plane in degrees.
A. 7.8
B. 8.2
C. 9.6
D. 12.4

Solution:

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Rotation of the radically slotted arm shown is governed by θ = 0.2t + 0.02t³, where θ is in radians and t is in seconds. Simultaneously, the power screw in the arm engages the slider B and controls its distance from O according to r = 0.2 + 0.04t², where r is in meters and t is in seconds.

1. Which of the following most nearly gives the x-coordinate of the slider after 3 seconds:
A. 0.234m
B.0.453m
C. 0.167m
D. 0.56m
2. Which of the following most nearly gives the velocity of the slider after 3 seconds in m/s:
A. 0.48
B. 0.67
C. 0.54
D. 0.89
3. Which of the following most nearly gives the acceleration of the slider after 3 seconds in m/s²:
A. 0.723
B. 0.678
C. 0.601
D. 0.622

Solution:

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A particle with a mass of 0.75 kg has an initial velocity of u=6m/s in the direction shown. Forces F₁ and F₂ act on the particle, and their magnitudes change with time according to the graphical schedule shown.

1. Which of the following most nearly gives the y-component of particles velocity after 3 seconds, in m/s.
A. 9.8
B.12.4
C. 6.1
D. 14.5
2. Which of the following most nearly gives the particle’s velocity after 3 seconds, in m/s?
A. 14.3
B. 12.5
C. 15.8
D. 16.2
3. Which of the following most nearly gives the direction of the particle from the x-axis after 3 seconds (positive counterclockwise):
A. 113°
B. 125°
C. 136°
D. 102°

Solution:

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The cantilever beam shown is loaded with a counterclockwise couple of 60 kN-m 1 m from the fixed end and a uniformly distributed load of 5 kN/m over 3m from the free end.

1. Which of the following give the moment at A in KiloNewton-Meter.
A. -9
B.-7.5
C. -6
D. -8.5
2. Which of the following gives the shear at C in KiloNewton-Meter.
A. 15
B. 20
C. 10
D. 25
3. Which of the following give the moment at C in KiloNewton-Meter.
A. -20.5
B. -18.5
C. -25
D. -22.5

Solution:

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A square column footing is shown. The unit weight of soil above footing is 18.5 kN/m³³. Concrete strength f_c = 21 MPa and steel yield strength is f_y = and unit weight of concrete is 23.5 kN/m 414 MPa. The allowable soil bearing capacity is 230 kPa.

1. Which of the following most nearly gives the effective soil bearing capacity at the base of the footing, in KiloPascals?

A. 185
B. 174
C. 199
D. 208

2. Which of the following most nearly gives the dimension of the footing?

A. 3.2m x 3.2m
B. 3.5m x 3.5m
C. 2.5m x 2.5m
D. 3m x 3m

3. Which of the following most nearly gives the factored shear at the critical section for wide-beam shear in KiloNewtons?

A. 727
B. 654
C. 821
D. 672

Solution:

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Steel column 6m long and hinged at both ends is used to carry an axial load of 800kN. The column is subject to end moments about its strong axis (double curvature) with M₁ = 90%M₂. The frame is braced against joint translation and is not subjected to any transverse loading. F_y=248 MPa, E=200GPa. The allowable bending stress F_b = 149MPa. The provisions of 1992 NSCP is given.

The properties of the section are as follows:

A=0.0123 m²

S_x=0.00144 m³

r_x=134 mm

r_y=77 mm

1. Which of the following most nearly gives the computed (actual) axial stress of the column in MegaPascals?

A. 73
B. 94
C. 58
D. 65

2. Which of the following most nearly gives the allowable axial compressive stress of the column in MegaPascals?

A. 123
B. 132
C. 107
D. 87

3. Which of the following most nearly gives the moment capacity of the column in KiloNewton-Meter?

A. 100
B. 150
C. 120
D. 110

Solution:

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The activities, duration, and cost(in thousand pesos) under normal and accelerated conditions for a network diagram are shown in the accompanying table.

1. Which of the following gives the critical path of the network?

A. B-C-E-F
B. B-E-F
C. C-D-E-F
D. A-C-E-F

2. Which of the following gives the duration of the project?

A. 15
B. 12
C. 14
D. 13

3. Which of the following gives the total cost of the project in thousand pesos?

A. P24,400.00
B. P23,400.00
C. P22,400.00
D. P25,400.00

Solution:

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The beam is 150mm wide and 300mm deep, The allowable bending stress on extreme fiber is 12MPa. If x=2.5m:

1. Which of the following gives the maximum moment that the beam can resist, in KiloNewton-meter.

A. 24
B. 16
C. 18
D. 27

2. Which of the following gives maximum value of P, in KiloNewton?

A. 12.5
B. 8.6
C. 9.5
D. 16.4

3. Which of the following gives maximum value of P, in KiloNewton?

A. 27
B. 24
C. 16
D. 18

Solution:

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A force system in space is shown below.

1. Which of the following most nearly give the moment of the forces about the x-axis, in Newton-Meter?

A. 720
B. 2500
C. 2865
D. 1200

2. Which of the following most nearly gives the magnitude of the resultant moment in Newton-Meter.

A. 1200
B. 720
C. 2500
D. 2865

3. Which of the following most nearly gives the direction cosines of the resultant moment?

A. cos θ­_x =0.251;   cos θ­_y =-0.419;  cos θ­_z =0.873
B. cos θ­_x =0.251;   cos θ­_y =-0.214;  cos θ­_z =0.771
C. cos θ­_x =0.324;   cos θ­_y =-0.419;  cos θ­_z =0.771
D. cos θ­_x =0.324;   cos θ­_y =-0.214;  cos θ­_z =0.873

Solution:

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The force system shown consists of the couple C and four forces. The resultant of this system is a 500kN-m counterclockwise couple.

1. Which of the following most nearly gives the value of P in kN?

A. 230
B. 150
C. 250
D. 200

2. Which of the following most nearly gives the value of Q in kN?

A. 240
B. 260
C. 300
D. 200

3. Which of the following most nearly gives the value of C in kN-m?

A. 1070
B. 1140
C. 1440
D. 1210

Solution:

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For the beam shown.

1. Which of the following is the influence line for the reaction at C?

A. Figure AN-13(e)
B. Figure AN-13(d)
C. Figure AN-13(b)
D. Figure AN-13(c)

2. Which of the following is the influence line for the moment at B?

A. Figure AN-13(i)
B. Figure AN-13(f)
C. Figure AN-13(h)
D. Figure AN-13(g)

3. Which of the following is the influence line for the shear at B?

A. Figure AN-13(k)
B. Figure AN-13(m)
C. Figure AN-13(l)
D. Figure AN-13(j)

Solution:

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A wall footing is shown. The unit weight of soil above footing is 18 kN/m³ and unit weight of concrete is 23.5 kN/m³. Concrete strength f_c = 21 MPa and steel yield strength is f_y = 414 MPa. The allowable soil bearing capacity is 210 kPa.

1. Which of the following most nearly gives the effective soil bearing capacity at the bottom of the footing in KiloPascals.

A. 172
B. 195
C. 186
D. 164

2. Which of the following most nearly gives the dimension (width) of the footing in meter?

A. 2.5
B. 2.1
C. 3.2
D. 2.8

3. Which of the following most nearly gives the spacing of the 28-mm diameter main bars, in millimeters?

A. 300
B. 250
C. 400
D. 350

Solution:

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