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Test - 1

Description: Test - 1
Number of Questions: 15
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Tags: Test - 1 Concrete Structures
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A 16 mm thick plate measuring 650 mm x 420 mm is used as a base plate for an ISHB 300 column subjected to a factored axial compressive load of 2000 kN. As per IS 456-2000, the minimum grade of concrete that should be used below the base plate for safely carrying the load is

  1. M 15

  2. M 20

  3. M 30

  4. M 40


Correct Option: B
Explanation:

 Plate size and column dimension has nothing to do with minimum grade of concrete, As per IS : 456 - 2000 $$f_{ck} = 20MPa$$

or grade of concrete M-20

Consider a reinforcing bar embedded in concrete. In a marine environment, this bar undergoes uniform corrosion, which leads to the deposition of corrosion products on its surface and an increase in the apparent volume of the bar. This subjects the surrounding concrete to expansive pressure. As a result, corrosion induced cracks appear at the surface of concrete. Which of the following statements is TRUE?

  1. Corrosion causes circumferential tensile stresses in concrete and the cracks will be parallel to the corroded reinforcing bar.

  2. Corrosion causes radial tensile stresses in concrete and the cracks will be parallel to the corroded reinforcing bar.

  3. Corrosion causes circumferential tensile stresses in concrete and the cracks will be perpendicular to the direction of the corroded reinforcing bar.

  4. Corrosion causes radial tensile stresses in concrete and the cracks will be perpendicular to the direction of the corroded reinforcing bar.


Correct Option: C
Explanation:

 

Consider two RCC beams P and Q, each having the section 400 mm x 750 mm (effective depth, d = 750 mm) made with concrete having a $\tau_{c max}$= 2.1 N/mm2. For the reinforcement provided and the grade of concrete used, it may be assumed that the $\tau_c$= 0.75 N/mm2. The design shear in beam P is 400 kN and in beam Q is 750 kN. Considering the provisions of IS 456 — 2000, which of the following statements is TRUE?

  1. Shear reinforcement should be designed for 175 kN for beam P and the section for beam Q should be revised.

  2. Nominal shear reinforcement is required for beam P and the shear reinforcement should be designed for 120 kN for beam Q.

  3. Shear reinforcement should be designed for 175 kN for beam P and the shear reinforcement should be designed for 525 kN for beam Q.

  4. The sections for both beams P and Q need to be revised.


Correct Option: A
Explanation:

 

Consider a bar of diameter ‘D’ embedded in a large concrete block as shown in the adjoining figure, with a pull out force P being applied. Let $\sigma_b$ and $\sigma_{st}$ be the bond strength (between the bar and concrete) and the tensile strength of the bar respectively. If the block is held in position and it is assumed that the material of the block does not fail, which of the following options represents the maximum value of P?

  1. Maximum of $\Big(\frac{\pi}{4}D^2\sigma_b\Big) and (\pi DL \sigma_{st})$

  2. Maximum of $\Big(\frac{\pi}{4}D^2\sigma_{st}\Big) and (\pi DL \sigma_b)$

  3. Minimum of $\Big(\frac{\pi}{4}D^2\sigma_{st}\Big) and (\pi DL \sigma_b)$

  4. Minimum of $\Big(\frac{\pi}{4}D^2\sigma_b\Big) and (\pi DL \sigma_{st})$


Correct Option: B
Explanation:

 

As per India standard code of practice for pre stressed concrete (IS:1343 –1980) the minimum grades of concrete to be used for post-tensioned and pre-tensioned structural elements are respectively

  1. M20 for both

  2. M40 and M30

  3. M15 and M20

  4. M30 and M40


Correct Option: D
Explanation:

 As per code minimum grade concrete used for post-tension is M-30 and pre-tension is M-40. Reason for this is that in pre-tension losses are more than post-tension and a high strength concrete required for pre-stress so that it can safely bear the high local stress.

Direction: A doubly reinforced rectangular concrete beam has a width of 300 mm and an effective depth of 500 mm. The beam is reinforced with 2200 mm2 of steel in tension and 628 mm2 of steel in compression. The effective cover for compression steel is 50 mm. Assume that both tension and compression steel yield. The grades of concrete and steel used are M20 and Fe250 respectively. The stress lock parameters (rounded off to first two decimal places) for concrete shall be as per IS 456:200.

The moment of resistance of the section is

  1. 206.00 kN-m

  2. 209.20 kN-m

  3. 236.80 kN-m

  4. 251.90 kN-m


Correct Option: B
Explanation:

 

Direction: A doubly reinforced rectangular concrete beam has a width of 300 mm and an effective depth of 500 mm. The beam is reinforced with 2200 mm2 of steel in tension and 628 mm2 of steel in compression. The effective cover for compression steel is 50 mm. Assume that both tension and compression steel yield. The grades of concrete and steel used are M20 and Fe250 respectively. The stress lock parameters (rounded off to first two decimal places) for concrete shall be as per IS 456:200.

The depth of neutral axis is

  1. 205.30 mm

  2. 184.56 mm

  3. 160.91 mm

  4. 145.30 mm


Correct Option: C
Explanation:

 

In the design of a reinforced concrete bean the requirement for bond is not getting satisfied. The economical option to satisfy the requirement for bond is by

  1. bundling of bars

  2. providing smaller diameter bars more in number

  3. providing larger diameter bars less in number

  4. providing same diameter bars more in number


Correct Option: B
Explanation:

 Providing small diameter bars large in number. Keeping $A_{st}$ same for economical design.

Unfactored maximum bending moments at a section of a reinforced concrete beam resulting from a frame analysis are 50, 80, 120 and 180 kNm under dead, live, wind and earthquake loads respectively. The design moment (kNm) as per IS: 456- 2000 for the limit state of collapse (flexure) is

  1. 195

  2. 250

  3. 345

  4. 372


Correct Option: D
Explanation:

 

A reinforced concrete column contains longitudinal steel equal to 1 percent of net cross sectional area of the column. Assume modular ratio as 10. The loads carried (using the elastic theory) by the longitudinal steel and the net area of concrete are Ps and Pc respectively. The ratio Ps/Pc expressed as percent is

  1. 0.1

  2. 1

  3. 1.1

  4. 10


Correct Option: D
Explanation:

 

A reinforced concrete structure has to be constructed along a sea coast. The minimum grade of concrete to be used as per IS: 456-2000 is

  1. M 15

  2. M 20

  3. M 25

  4. M 30


Correct Option: D
Explanation:

 High durability of the concrete is important criteria for selection of concrete along a sea coast. M-30 having more durability than M-20. Hence, M-30 is recommended as minimum grade of concrete.

For limit state of collapse, the partial safety factors recommended by IS 456 : 2000 for estimating the design strength of concrete and reinforcing steel are respectively

  1. 1.15 and 1.5

  2. 1.0 and 1.0

  3. 1.5 and 1.15

  4. 1.5 and 1.0


Correct Option: C
Explanation:

 Partial safety factor for concrete is 1.5 and for steel is 1.15. High value of safety factor for concrete suggests that greater variation of properties of concrete than steel.

The modulus of rupture of concrete in terms of its characteristic cube compressive strength (fck) in MPa according to IS 456 : 2000 is

  1. 5000fck

  2. 0.7fck

  3. $5000 \sqrt{f_{ck}}$

  4. $0.7 \sqrt{f_{ck}}$


Correct Option: D
Explanation:

 $\text{Modulus of rupture of concrete}\\ \hspace{2cm} \sigma_{cr} = 0.7 \sqrt{\sigma_{ck}}\\ or \hspace{1.5cm} f_{cr} = 0.7 \sqrt{f_{ck}}\\ \text{Maximum tensile stress due to flexural in concrete is given by above formula and also known as modulus of rupture of concrete.}$

Column I gives a list of test methods for evaluating properties of concrete and Column II gives the list of properties.

Column I Column II
P. Resonant frequency test 1. Tensile strength
Q. Rebound hammer test 2. Dynamic modulus of elasticity
R. Split cylinder test 3. Workability
S. Compacting factor test 4. Compressive strength

The correct match of the test with the property is

  1. P - 2, Q - 4, R - 1, S - 3

  2. P - 2, Q - 1, R - 4, S - 3

  3. P - 2, Q - 4, R - 3, S - 1

  4. P - 4, Q - 3, R - 1, S - 2


Correct Option: A
Explanation:

 

A rectangular concrete beam of width 120 mm and depth 200 mm is prestressed by pretensioning to a force of 150 kN at an eccentricity of 20 mm. The cross-sectional area of the prestressing steel is 187.5 mm2. Take modulus of elasticity of steel and concrete as 2.1 x105 MPa and 3.0 x104 MPa respectively. The percentage loss of stress in the prestressing steel due to elastic deformation of concrete is

  1. 8.75

  2. 6.125

  3. 4.81

  4. 2.19


Correct Option: B
Explanation:

 

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