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Singly Reinforced Sections · Reinforced Cement Concrete · GATE CE

Marks 1
10
Marks 2
19
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Marks 1

1
Creep of concrete under compression is defined as the _________. 
GATE CE 2023 Set 1
2
A singly reinforced concrete beam of balanced section is made of M20 grade concrete and Fe415 grade steel bars. The magnitudes of the maximum compressive strain in concrete and the tensile strain in the bars at ultimate state under flexure, as per IS 456 ∶ 2000 are ________, respectively. (round off to four decimal places)
GATE CE 2023 Set 1
3

In the context of elastic theory of reinforced concrete, the modular ratio is defined as the ratio of

GATE CE 2022 Set 1
4
According to $$IS$$ $$456$$- $$2000,$$ which one of the following statements about the depth of natural axis $${x_u},\,\,bal$$ for a balanced reinforced concrete section is correct?
GATE CE 2017 Set 1
5
Consider the singly reinforced beam shown in the figure below: GATE CE 2015 Set 1 Reinforced Cement Concrete - Singly Reinforced Sections Question 7 English

At cross-section $$XX,$$ which of the following statements is TRUE at the limit state?

GATE CE 2015 Set 1
6
As per $$IS$$ $$456:2000,$$ in the Limit State Design of a flexural member, the strain in reinforcing bars under tension at ultimate state should not be less than
GATE CE 2012
7
In the limit state design method of concrete structures, the recommended partial material safety factor $$\left( {{\gamma _m}} \right)$$ for steel according to $$IS:456$$-$$2000$$ is
GATE CE 2004
8
The working stress method of design specifies the value of modular ratio, $$m = 280/\left( {3{\sigma _{cbc}}} \right),$$ where $${{\sigma _{cbc}}}$$ is the allowable stress in bending compression in concrete. To what extent does the above value of $$'m'$$ make any allowance for the creep of concrete?
GATE CE 2000
9
The minimum area of tension reinforcement in a beam shall be greater than
GATE CE 1999
10
$$IS$$ $$456$$-$$2000$$ recommends providing certain minimum steel in a $$RCC$$ beam
GATE CE 1994

Marks 2

1

Consider the singly reinforced section of a cantilever concrete beam under bending, as shown in the figure (M25 grade concrete, Fe415 grade steel). The stress block parameters for the section at ultimate limit state, as per IS 456: 2000 notations, are given. The ultimate moment of resistance for the section by the Limit State Method is ________ kN.m (round off to one decimal place).

[Note: Here, As is the total area of tension steel bars, b is the width of the section, d is the effective depth of the bars, fck is the characteristic compressive cube strength of concrete, fy is the yield stress of steel, and xu is the depth of neutral axis.]

GATE CE 2023 Set 2 Reinforced Cement Concrete - Singly Reinforced Sections Question 1 English
GATE CE 2023 Set 2
2
A reinforced concrete $$(RC)$$ beam with width of $$250$$ $$mm$$ and effective depth of $$400$$ $$mm$$ is reinforced with $$Fe415$$ steel. As per the provisions of $$IS$$ $$456$$ - $$2000,$$ the minimum and maximum amount of tensile reinforcement (expressed in $$m{m^2}$$ ) for the section are, respectively
GATE CE 2016 Set 1
3
Consider the singly reinforced beam section given below (left figure). The stress block parameters for the cross-section from $$IS:$$ $$456$$ - $$2000$$ are also given below (right figure). The moment of resistance for the given section by the limit state method is ______ $$kN$$-$$m.$$ GATE CE 2015 Set 1 Reinforced Cement Concrete - Singly Reinforced Sections Question 9 English
GATE CE 2015 Set 1
4
For a beam of cross-section, width $$= 230$$ $$mm$$ and effective depth $$= 500$$ $$mm,$$ the number of rebars of $$12$$ $$mm$$ diameter required to satisfy minimum tension reinforcement requirement specified by $$IS:$$ $$456-2000$$ (assuming grade of steel reinforcement as $$Fe500$$) is _______________
GATE CE 2014 Set 1
5
In a reinforced concrete section, the stress at the extreme fibre in compression is $$5.80$$ $$MPa.$$ The depth of neutral axis in the section is $$58$$ $$mm$$ and the grade of concrete is $$M25.$$ Assuming linear elastic behavior of the concrete, the effective curvature of the section (in per $$mm$$) is
GATE CE 2014 Set 1
6
A singly reinforced rectangular concrete beam has a width of $$150$$ $$mm$$ and an effective depth of $$330$$ $$mm.$$ The characteristic compressive strength of concrete is $$20$$ $$MPa$$ and the characteristic tensile strength of steel is $$\,\,\,\,\,\,\,415\,\,MPa.$$

Adopt the stress block for concrete as given in $$IS$$ $$456$$-$$2000$$ and take limiting value of depth of neutral axis as $$0.48$$ times the effective depth of the beam.

The limiting value of the moment of resistance of the beam in $$kN$$-$$m$$ is

GATE CE 2007
7
A singly reinforced rectangular concrete beam has a width of $$150$$ $$mm$$ and an effective depth of $$330$$ $$mm.$$ The characteristic compressive strength of concrete is $$20$$ $$MPa$$ and the characteristic tensile strength of steel is $$\,\,\,\,\,\,\,415\,\,MPa.$$

Adopt the stress block for concrete as given in $$IS$$ $$456$$-$$2000$$ and take limiting value of depth of neutral axis as $$0.48$$ times the effective depth of the beam.

The limiting area of tension steel in $$m{m^2}$$ is

GATE CE 2007
8
Consider the following statements:

$$1.\,\,\,\,\,\,$$ The width-to-thickness ratio limitations on the plate elements under
$$\,\,\,\,\,\,\,\,\,\,\,$$ compression in steel members are imposed by $$IS:$$ $$800$$ - $$1984$$ in order to avoid
$$\,\,\,\,\,\,\,\,\,\,\,$$ fabrication difficulties.
$$2.\,\,\,\,\,\,$$ In a doubly reinforced concrete beam, the strain in compressive reinforcement is
$$\,\,\,\,\,\,\,\,\,\,\,$$ higher than the strain in the adjoining concrete.
$$3.\,\,\,\,\,\,$$ If a cantilever $${\rm I}$$-section supports slab construction all along its length with
$$\,\,\,\,\,\,\,\,\,\,\,$$ sufficient friction between them, the permissible bending stress in compression
$$\,\,\,\,\,\,\,\,\,\,\,$$ will be the same as that in tension.

The TRUE statements are

GATE CE 2006
9
In the design of beams for the limit state of collapse in flexure as per $$IS:$$ $$456$$ - $$2000,$$ let the maximum strain in concrete be limited to $$0.0025$$ (in place of $$0.0035$$). For this situation, consider a rectangular beam section with breadth as $$250$$ $$mm,$$ effective depth as $$350$$ $$mm,$$ area of tension steel as $$1500\,\,m{m^2},$$ and characteristic strengths of concrete and steel as $$30$$ $$MPa$$ and $$250$$ $$MPa$$ respectively.

At the limiting state of collapse in flexure, the force acting on the compression zone of the section is

GATE CE 2006
10
In the design of beams for the limit state of collapse in flexure as per $$IS:$$ $$456$$ - $$2000,$$ let the maximum strain in concrete be limited to $$0.0025$$ (in place of $$0.0035$$). For this situation, consider a rectangular beam section with breadth as $$250$$ $$mm,$$ effective depth as $$350$$ $$mm,$$ area of tension steel as $$1500\,\,m{m^2},$$ and characteristic strengths of concrete and steel as $$30$$ $$MPa$$ and $$250$$ $$MPa$$ respectively.

The depth of neutral axis for the balanced failure is

GATE CE 2006
11
Maximum strains in an extreme fibre in concrete and in the tension reinforcement (Fe-$$415$$ grade and $${E_s} = 200\,\,kN/m{m^2}$$) in a balanced section at limit state of flexure are respectively
GATE CE 2003
12
A reinforced concrete beam, size $$200$$ $$mm$$ wide and $$300$$ $$mm$$ deep overall is simply supported over a span of $$3$$ $$m.$$ It is subjected to two point loads $$P$$ of equal magnitude placed at middle third points. The two loads are gradually increased simultaneously. Beam is reinforced with $$2$$ $$HYSD$$ $$415$$ bars of $$16$$ $$mm$$ diameter placed at an effective cover of $$40$$ $$mm$$ on bottom face and nominal shear reinforcement. The characteristic compressive strength and the bending tensile strength of the concrete are $$20.0\,\,N/m{m^2}$$ and $$2.2\,\,N/m{m^2}$$ respectively.

Ignoring the presence of tension reinforcement, the value of load $$P$$ in $$kN$$ when the first flexure crack will develop in the beam is

GATE CE 2003
13
A reinforced concrete beam, size $$200$$ $$mm$$ wide and $$300$$ $$mm$$ deep overall is simply supported over a span of $$3$$ $$m.$$ It is subjected to two point loads $$P$$ of equal magnitude placed at middle third points. The two loads are gradually increased simultaneously. Beam is reinforced with $$2$$ $$HYSD$$ $$415$$ bars of $$16$$ $$mm$$ diameter placed at an effective cover of $$40$$ $$mm$$ on bottom face and nominal shear reinforcement. The characteristic compressive strength and the bending tensile strength of the concrete are $$20.0\,\,N/m{m^2}$$ and $$2.2\,\,N/m{m^2}$$ respectively.

The theoretical failure load of the beam for attainment of limit state of collapse in flexure is

GATE CE 2003
14
Read the following two statements

$${\rm I}.\,\,\,\,\,\,\,\,\,\,\,\,$$ Maximum strain in concrete at the outermost compression fibre is taken to be $$0.0035$$ in bending
$${\rm II}.\,\,\,\,\,\,\,\,\,\,\,\,$$ The maximum compressive strain in concrete in axial compression is taken as $$0.002$$ Keeping the provisions of $$IS$$ $$456$$-$$2000$$ on limit state design in mind, which of the following is true?

GATE CE 2002
15
As per provision of $$IS$$ $$456$$-$$2000$$, in the limit state method for design of beams, the limiting value of the depth of neutral axis in a reinforced concrete beam of effective depth $$'d'$$ is given as
GATE CE 2002
16
Identify the FALSE statement from the following, pertaining to the design of concrete structures.
GATE CE 2001
17
Assume straight line instead of parabola for stress-strain curve of concrete as given below and partial factor of safety as $$1.0.$$ GATE CE 2000 Reinforced Cement Concrete - Singly Reinforced Sections Question 5 English

A rectangular under-reinforced concrete section of $$300$$ $$mm$$ width and $$500$$ $$mm$$ effective depth is reinforced with $$3$$ bars of grade $$Fe$$-$$415,$$ each of $$16$$ $$mm$$ diameter. Concrete mix is $$M20.$$

The depth of the neutral axis obtained as per $$IS:$$ $$456$$-$$2000$$ differs from the depth of neutral axis obtained in $$Q.08$$ by

GATE CE 2000
18
The following two statements are made with reference to a simply supported under - reinforced $$RCC$$ beam:

$${\rm I}.\,\,\,\,\,\,\,\,\,\,\,\,$$ Failure takes place by crushing of concrete before the steel has yielded.
$${\rm II}.\,\,\,\,\,\,\,\,\,\,$$ The neutral axis moves up as the load is increased.

With reference to the above statements, which of the following applies?

GATE CE 2000
19
Assume straight line instead of parabola for stress-strain curve of concrete as given below and partial factor of safety as $$1.0.$$ GATE CE 2000 Reinforced Cement Concrete - Singly Reinforced Sections Question 6 English

A rectangular under-reinforced concrete section of $$300$$ $$mm$$ width and $$500$$ $$mm$$ effective depth is reinforced with $$3$$ bars of grade $$Fe$$-$$415,$$ each of $$16$$ $$mm$$ diameter. Concrete mix is $$M20.$$

The depth of the neutral axis from the compression fibre is

GATE CE 2000
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