Civil Engineering Test

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Civil Engineering Test - 2

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SHARING IS CARING

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Weekly Quiz Competition

Question 1
2 / -0.66

In a beam of 300 mm wide and 500 mm effective depth, the value of the design shearing force at the critical section is 300 kN. The permissible shear stress in concrete is 0.4 N/mm2 depending on the percentage of steel content. The shear reinforcement will be designed for a shear force of ____ kN

A
240

B
241

C
242

D
245

Solution

Concept:

Recent laboratory experiments confirmed that reinforced concrete in beams has shear strength even without any shear reinforcement. This shear strength (τc) depends on the grade of concrete and the percentage of tension steel in beams and this is known as the permissible shear stress in concrete.

On the other hand, the shear strength of reinforced concrete with the reinforcement is restricted to some maximum value τcmax depending on the grade of concrete.

The amount of shear reinforcement to be provided is determined to carry a shear force Vus equal to

Vus = Vu – τc × b × d

Where b is the breadth of rectangular beams or bw in the case of flanged beams.

d = effective depth of beam

Vus = Design shear force

Vu = Factored shear force and τc = permissible shear stress in concrete.

Calculation:

Given,

b = 300 mm

d = 500 mm

V_u = 300 kN = 300,000 N

τc = 0.4 MPa

Design shear force is

V_us = 300,000 – (0.4 × 300 × 500) = 240,000 N = 240 kN
Question 2
2 / -0.66

Calculate the spacing between contraction joints by using the following data:

Width of slab = 4.52 m

The thickness of the slab = 25 cm

Coefficient of friction = 1.5

Allowable tensile stress in steel = 1400 kg/cm²

Diameter of bar = 12 mm

Spacing between the bar = 300 mm

Take γ_c = 2400 kg/m³

A
11.67 m

B
12.45 m

C
5.835 m

D
6.22 m

Solution

Concept:

In the Case of the dowel bar in the contraction joint, all the tensile load will be carried by the reinforcement only.

Force resisted by reinforcement = friction force by the ground on slab

Question 3

2 / -0.66

Spot speed studies were conducted on a certain stretch of a highway and consolidated data collected are given below:

Speed range, Kmph	No. of vehicles observed
0 - 10	10
10 - 20	40
20 - 30	50
30 - 40	50
40 - 50	150
50 - 60	250
60 - 70	300
70 - 80	90
80 - 90	40
90-100	20

Determine the upper and lower values of speed limits for the regulation of mixed traffic flow.

35 & 65

45 & 65

65 & 45

65 & 35

Solution

Concept:

(1) 98^Th percentile speed – It is the speed at or below which 98% of vehicles are moving and only 2% exceeds this limit.

As per IRC, this speed is considered as design speed for geometric design.

(2) 85^Thpercentile speed – This speed is considered the upper safe limit for vehicle movement.

(3) 15^Th percentile speed - This speed is considered the lower safe limit in order to avoid congestion.

Calculation:

Total no.of vehicle = 1000

Speed range	Average speed	number of vehicle	% frequency	Cumulative % frequency
0 - 10	5	10	1 %	1 %
10 - 20	15	40	4 %	5 %
20 - 30	25	50	5 %	10 %
30 - 40	35	50	5 %	15 %
40 - 50	45	150	15 %	30 %
50 - 60	55	250	25 %	55 %
60 - 70	65	300	30 %	85 %
70 - 80	75	90	9 %	94 %
80 - 90	85	40	4 %	98 %
90 - 100	95	20	2 %	100 %

Lower speed limit = Speed corresponding to 15 % Cumulative % frequency = 35 kmph.

Upper speed limit = Speed corresponding to 85 % Cumulative % frequency = 65 kmph.

Design speed = Speed corresponding to 98 % = 85 kmph.

Question 4
2 / -0.66

The width of the elementary gravity dam as shown below is -

Take specific gravity of dam material 2.2 and seepage coefficient at the base C = 0.8

A
67 m

B
80 m

C
87 m

D
100 m

Solution
Question 5
2 / -0.66

A city with a population of 4 lakh generates municipal solid waste(MSW) at the rate of 160 g/capita/day. The MSW will be decomposed by incineration method which produces 9 kg of ashes per 50 kg of MSW. These ashes will be further used in the cement industry. The amount of Portland cement that can be produced per day if 1kg of cement requires 200 gm of ash.

A
11.2 ton

B
48.6 ton

C
57.6 ton

D
62.3 ton

Solution

Calculation:

Given:

Population = 4 lakh,

MSW rate = 160 g/capita/day

Total MSW = 160x10^-3 kg x 4 x 10⁵ = 64000 kg/day

50 kg MSW produce = 9 kg ash
Question 6
2 / -0.66

The evaluation of the definite integral by using Simpson’s 1/3^rd (one –third) rule with step size h = 0.6 yields

A
0.914

B
1.248

C
0.581

D
0.592

Solution
Question 7
2 / -0.66

The stress state at a point in a material under plane stress condition is equi-biaxial tension with a magnitude of 10 MPa. If one unit on the σ - τ plane is 1 MPa, the Mohr’s circle representation of the state-of-stress is given by

A
a circle with a radius equal to principal stress and its center at the origin of the σ - τ plane

B
a point on the σ axis at a distance of 10 units from origin

C
a circle with a radius of 10 units on the σ - τ plane

D
a point on the τ axis at a distance of 10 units from the origin

Solution

Concept:

General Mohr Circle for biaxial stress condition:
Question 8
2 / -0.66

A problem in Mathematics is given to three students A, B and C. The probability of A solving the problem is 1/2 and B not solving is 1/4. The whole probability of the problem being solved is 63/64. What is the probability of solving it by C?

A
1/8

B
1/64

C
7/8

D
1/2

Solution

Question 9

2 / -0.66

Which of the following cement is recommended mostly in

(i) Concrete to be used in marine condition.

(ii) Concrete to be used in the construction of sewage treatment works.

(iii) Concrete used for fabrication of pipes which are likely to be buried in marshy region

Low Heat Cement

Sulphate Resisting Cement

Super Sulphated Cement

Portland Slag Cement

Solution

Concepts:

Sulphate Resisting Cement (SRC): In this cement, the amount of tricalcium aluminate (C3A) is restricted to a low value generally less than 5%.

The application of SRC:

It should be used in concrete used for the fabrication of pipes that are likely to be buried in the marshy regions or sulfate-bearing soils because it has the risk of deterioration due to sulfate attack.
It should be used in concrete to be used in the construction of sewage treatment works because sewage water contains excessive sulfates.
It is recommended for use in aggressive sulfate-rich areas such as marine environments where the concrete is exposed to the risk of deterioration and spalling due to sulfate attack.

Additional Information:

The different type of cement and their usage is given below in the tabulated form:

Type of Cement	Where to Use
Rapid hardening Cement	Road work where it is a must to open the road with minimum delay.
Extra Rapid hardening	Concreting in cold weathers
Low Heat Cement	Mass Constructions like Dams, abutments, etc.
Portland Pozzolana Cement	Marine and Hydraulic constructions, Mass concrete structures.
Quick Setting Cement	Concrete to be laid under normal water.
High Alumina Cement	Where early removal of formwork is required.
Hydrophobic Cement	Where long storage or transportation is required.

Question 10
2 / -0.66

The Poisson’s ratio for a perfectly incompressible linear elastic material is

A
1

B
0.5

C
0

D
Infinity

Solution

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Civil Engineering Test - 2

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Civil Engineering Test - 2

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SHARING IS CARING

Question 1

240

241

242

245

Solution

Question 2

11.67 m

12.45 m

5.835 m

6.22 m

Solution

Question 3

35 & 65

45 & 65

65 & 45

65 & 35

Solution

Question 4

67 m

80 m

87 m

100 m

Solution

Question 5

11.2 ton

48.6 ton

57.6 ton

62.3 ton

Solution

Question 6

0.914

1.248

0.581

0.592

Solution

Question 7

a circle with a radius equal to principal stress and its center at the origin of the σ - τ plane

a point on the σ axis at a distance of 10 units from origin

a circle with a radius of 10 units on the σ - τ plane

a point on the τ axis at a distance of 10 units from the origin

Solution

Question 8

1/8

1/64

7/8

1/2

Solution

Question 9

Low Heat Cement

Sulphate Resisting Cement

Super Sulphated Cement

Portland Slag Cement

Solution

Question 10

1

0.5

0

Infinity

Solution

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