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161

GATE2015-1-31
The composition of an air-entrained concrete is given below: ... gravity of OPC, sand and coarse aggregate to be $3.14$, $2.67$, and $2.74$, respectively. The air content is ______ $liters/m^3$.

The composition of an air-entrained concrete is given below:$\begin{array}{lcr} \text{Water} & : & 184 \: kg/m^3 \\ \text{Ordinary Portland Cement (OPC)} & : & 368 \: kg/...

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162

GATE2014-1-26
If the following equation establishes equilibrium in slightly bent position, the mid-span deflection of a member shown in the figure is $\frac{d^2y}{dx^2}+\frac{P}{EI}y=0$ If $a$ is amplitude constant for $y,$ then $y=\dfrac{1}{P} \bigg( 1- a \cos \dfrac{2 \pi x}{L} \bigg) \\$ ... $y= a \sin \dfrac{n \pi x}{L} \\$ $y= a \cos \dfrac{n \pi x}{L}$

If the following equation establishes equilibrium in slightly bent position, the mid-span deflection of a member shown in the figure is$$\frac{d^2y}{dx^2}+\frac{P}{EI}y=0...

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163

GATE Civil 2013 | Question: 26
The state of $2D$-stress at a point is given by the following matrix of stresses: $\begin{bmatrix} \sigma_{xx} & \sigma_{xy} \\ \sigma_{xy} & \sigma_{yy} \end{bmatrix} = \begin{bmatrix} 100 & 30 \\ 30 & 20 \end{bmatrix} MPa$ What is the magnitude of the maximum shear stress in MPa $50$ $75$ $100$ $110$

The state of $2D$-stress at a point is given by the following matrix of stresses:$$\begin{bmatrix} \sigma_{xx} & \sigma_{xy} \\ \sigma_{xy} & \sigma_{yy} \end{bmatrix} = ...

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164

GATE2018 CE-2: 5
The setting time of cement is determined using Le Chatelier apparatus Briquette testing apparatus Vicat apparatus Casagrande's apparatus

The setting time of cement is determined usingLe Chatelier apparatusBriquette testing apparatusVicat apparatusCasagrande's apparatus

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165

GATE2020-CE-1-8
During the process of hydration of cement, due to increase in Dicalcium Silicate $(C_2S)$ content in cement clinker, the heat of hydration increases decreases initially decreases and then increases does not change

During the process of hydration of cement, due to increase in Dicalcium Silicate $(C_2S)$ content in cement clinker, the heat of hydrationincreasesdecreasesinitially decr...

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166

GATE2016-2-7
As per $\text{IS } 456-2000$ for the design of reinforced concrete beam, the maximum allowable shear stress $(\tau_{\tau \text{max}})$ depends on the grade of concrete and grade of steel grade of concrete only grade of steel only grade of concrete and percentage of reinforcement

As per $\text{IS } 456-2000$ for the design of reinforced concrete beam, the maximum allowable shear stress $(\tau_{\tau \text{max}})$ depends on thegrade of concrete and...

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167

GATE2014-2-34
A prismatic beam (as shown below) has plastic moment capacity of $M_p$, then the collapse load $P$ of the beam is $\dfrac{2M_p}{L} \\$ $\dfrac{4M_p}{L} \\$ $\dfrac{6M_p}{L} \\$ $\dfrac{8M_p}{L}$

A prismatic beam (as shown below) has plastic moment capacity of $M_p$, then the collapse load $P$ of the beam is$\dfrac{2M_p}{L} \\$$\dfrac{4M_p}{L} \\$$\dfrac{6M_p}{L} ...

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168

GATE2015-2-7
For the plane stress situation shown in the figure, the maximum shear stress and the plane on which it acts are: $-50$ MPa, on a plane $45^{\circ}$ clockwise w.r.t. $x$-axis $-50$ MPa, on a plane $45^{\circ}$ anti-clockwise w.r.t. $x$-axis $50$ MPa at all orientations Zero, at all orientations

For the plane stress situation shown in the figure, the maximum shear stress and the plane on which it acts are:$-50$ MPa, on a plane $45^{\circ}$ clockwise w.r.t. $x$-ax...

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169

GATE2014-1-27
A box of weight $100$ kN shown in the figure is to be lifted without swinging. If all forces are coplanar, the magnitude and direction $( \theta)$ of the force $(F)$ with respect to $x$-axis should be $F=56.389$ kN and $\theta=28.28^{\circ}$ $F=-56.389$ kN and $\theta=-28.28^{\circ}$ $F=9.055$ kN and $\theta=1.414^{\circ}$ $F=-9.055$ kN and $\theta=-1.414^{\circ}$

A box of weight $100$ kN shown in the figure is to be lifted without swinging. If all forces are coplanar, the magnitude and direction $( \theta)$ of the force $(F)$ with...

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170

GATE2017 CE-2-31
Two prismatic beams having the same flexural rigidity of $1000 \: kN-m^2$ are shown in the figures. If the mid-span deflections of these beams are denoted by $\delta_1$ and $\delta_2$ (as indicated in the figures), the correct option is $\delta_1 = \delta_2$ $\delta_1 < \delta_2$ $\delta_1 > \delta_2$ $\delta_1 >> \delta_2$

Two prismatic beams having the same flexural rigidity of $1000 \: kN-m^2$ are shown in the figures.If the mid-span deflections of these beams are denoted by $\delta_1$ an...

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171

GATE2019 CE-2: 39
When a specimen of $M25$ concrete is loaded to a stress level of $12.5 \: MPa$, a strain of $500 \times 10^{-6}$ is recorded. If this load is allowed to stand for a long time, the strain increases to $1000 \times 10^{-6}$. In ... with the provisions of $IS:456-2000$, considering the long-term effects, the effective modulus of elasticity of the concrete (in $MPa$) is _________

When a specimen of $M25$ concrete is loaded to a stress level of $12.5 \: MPa$, a strain of $500 \times 10^{-6}$ is recorded. If this load is allowed to stand for a long ...

Arjun

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Arjun asked Feb 12, 2019

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172

GATE2016-1-8
The semi-compact section of a laterally unsupported steel beam has an elastic section modulus, plastic section modulus and design bending compressive stress of $500 \: cm^3$, $650 \: cm^3$ and $200 \: MPa$, respectively. The design flexural capacity (expressed in kNm) of the section is ________

The semi-compact section of a laterally unsupported steel beam has an elastic section modulus, plastic section modulus and design bending compressive stress of $500 \: cm...

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173

GATE2015-1-5
Consider the following statements for air-entrained concrete: Air-entrainment reduces the water demand for a given level of workability Use of air-entrained concrete is required in environments where cyclic freezing and thawing is expected Which of the following is TRUE? Both (i) and (ii) are True Both (i) and (ii) are False (i) is True and (ii) is False (i) is False and (ii) is True

Consider the following statements for air-entrained concrete:Air-entrainment reduces the water demand for a given level of workabilityUse of air-entrained concrete is re...

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174

GATE Civil 2021 Set 1 | Question: 5
Gypsum is typically added in cement to prevent quick setting enhance hardening increase workability decrease heat of hydration

Gypsum is typically added in cement toprevent quick settingenhance hardeningincrease workabilitydecrease heat of hydration

Arjun

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175

GATE2020 CE-2-28
A prismatic linearly elastic bar of length $L$, cross-sectional area $A$, and made up of a material with Young's modulus $E$, is subjected to axial tensile force as shown in the figures. When the bar is subjected to axial tensile forces $P_1$ and $P_2$, the strain energies stored ... the correct relationship is $U = U_1 + U_2$ $U = U_1 - U_2$ $U < U_1 + U_2$ $U > U_1 + U_2$

A prismatic linearly elastic bar of length $L$, cross-sectional area $A$, and made up of a material with Young’s modulus $E$, is subjected to axial tensile force as sho...

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176

GATE2020 CE-2-43
The cross-section of the reinforced concrete beam having an effective depth of $500\: mm$ is shown in the figure (not drawn to the scale ). The grades of concrete and steel used are $M35$ and $Fe550$, respectively. The area of tension reinforcement is ... ( in $mm,$ round off to the nearest integer ) of the neutral axis measured from the extreme compression fiber, is ________.

The cross-section of the reinforced concrete beam having an effective depth of $500\: mm$ is shown in the figure (not drawn to the scale ). The grades of concrete and ste...

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177

GATE Civil 2013 | Question: 32
A uniform beam $(EI = \textit{constant})PQ$ in the form of a quarter-circle of radius $R$ is fixed at end $P$ and free at the end $Q$, where a load $W$ is applied as shown. The vertical downward displacement, $\delta_q$, at the loaded point $Q$ is ... $\delta_q = \beta \bigg( \dfrac{WR^3}{EI} \bigg)$. Find the value of $\beta$(correct to $4$-decimal places). ______

A uniform beam $(EI = \textit{constant})PQ$ in the form of a quarter-circle of radius $R$ is fixed at end $P$ and free at the end $Q$, where a load $W$ is applied as show...

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178

GATE2019 CE-2: 30
The critical bending compressive stress in the extreme fibre of a structural steel section is $1000 \: MPa$. It is given that the yield strength of the steel is $250 \: MPa$, width of flange is $250 \: mm$ and thickness of flange is $15 \: mm$. As per the provisions of $IS:800-2007$, the non-dimensional slenderness ratio of the steel cross-section is $0.25$ $0.50$ $0.75$ $2.00$

The critical bending compressive stress in the extreme fibre of a structural steel section is $1000 \: MPa$. It is given that the yield strength of the steel is $250 \: M...

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179

GATE Civil 2021 Set 1 | Question: 4
A propped cantilever beam $\text{EF}$ is subjected to a unit moving load as shown in the figure (not to scale). The sign convention for positive shear force at the left and right sides of any section is also shown. The $\text{CORRECT}$ qualitative nature of the influence line diagram for shear force at $\text{G}$ is

A propped cantilever beam $\text{EF}$ is subjected to a unit moving load as shown in the figure (not to scale). The sign convention for positive shear force at the left a...

Arjun

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180

GATE2017 CE-2-40
A simply supprted rectangular concrete beam of span $8$ m has to be prestressed with a force of $1600$ ... (in meters, up to two decimal places) of the tendon at the mid-span to balance the external load should be __________

A simply supprted rectangular concrete beam of span $8$ m has to be prestressed with a force of $1600$ kN. The tendon is of parabolic profile having zero eccentricity at ...

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181

GATE2016-2-10
A construction project consists of twelve activities. The estimated duration (in days) required to complete each of the activities along with the corresponding network diagram is shown below. ... $11-12$ for the project are, respectively, $25$ and $1$ $1$ nd $1$ $0$ and $0$ $81$ and $0$

A construction project consists of twelve activities. The estimated duration (in days) required to complete each of the activities along with the corresponding network di...

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182

GATE Civil 2012 | Question: 8
Which one of the following is categorised as a long-term loss of prestress in a prestressed concrete member? Loss due to elastic shortening Loss due to friction Loss due to relaxation of strands Loss due to anchorage slip

Which one of the following is categorised as a long-term loss of prestress in a prestressed concrete member?Loss due to elastic shorteningLoss due to frictionLoss due to ...

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183

GATE Civil 2012 | Question: 4
The Poisson's ratio is defined as $\begin{vmatrix} \dfrac{\text{axial stress}}{\text{lateral stress}} \end{vmatrix} \\$ $\begin{vmatrix} \dfrac{\text{lateral strain}}{\text{axial strain}} \end{vmatrix} \\$ ... $\begin{vmatrix} \dfrac{\text{axial strain}}{\text{lateral strain}} \end{vmatrix}$

The Poisson’s ratio is defined as$\begin{vmatrix} \dfrac{\text{axial stress}}{\text{lateral stress}} \end{vmatrix} \\$$\begin{vmatrix} \dfrac{\text{lateral strain}}{\te...

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184

GATE2016-2-39
The activity-on-arrow network of activities for a construction project is shown in the figure. The durations (expressed in days) of the activities are mentioned below in arrows. The critical duration for this construction project is $13$ days $14$ days $15$ days $16$ days

The activity-on-arrow network of activities for a construction project is shown in the figure. The durations (expressed in days) of the activities are mentioned below in ...

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185

GATE2018 CE-1: 27
A cantilever beam of length $2$ m with a square section of side length $0.1$ m is loaded vertically at the free end. The vertical displacement at the free end is $5$ mm. The beam is made of steel with young's modulus of $2.0 \times 10^{11} N/m^2$. The maximum bending stress at the fixed end of the cantilever is $20.0$ MPa $37.5$ MPa $60.0$ MPa $75.0$ MPa

A cantilever beam of length $2$ m with a square section of side length $0.1$ m is loaded vertically at the free end. The vertical displacement at the free end is $5$ mm. ...

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186

GATE2017 CE-1: 40
The value of $M$ in the beam ABC shown in the figure is such that the joint B does not rotate. The value of support reaction (in kN) at B should be equal to _________.

The value of $M$ in the beam ABC shown in the figure is such that the joint B does not rotate.The value of support reaction (in kN) at B should be equal to _________.

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187

GATE2014-1-11
The degree of static indeterminacy of a rigid joined frame $\text{PQR}$ supported as shown in the figure is zero one two unstable

The degree of static indeterminacy of a rigid joined frame $\text{PQR}$ supported as shown in the figure iszeroonetwounstable

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188

GATE Civil 2013 | Question: 7
As per $IS \: 456:2000$ for $M20$ grade concrete and plain barsin tension the design bond stress $\tau_{bd}=1.2$ MPa. Further, $IS \: 456:2000$ permits this design bond stress value to be increased by $60 \%$ for HSD bars. The stress ... tension, $\sigma_s=360$ MPa. Find the required development length, $L_d$, for HSD barsin terms of the bar diameter, $\phi$ ________

As per $IS \: 456:2000$ for $M20$ grade concrete and plain barsin tension the design bond stress $\tau_{bd}=1.2$ MPa. Further, $IS \: 456:2000$ permits this design bond s...

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189

GATE Civil 2012 | Question: 53
The cross-section at mid-span of a beam at the edge of a slab is shown in the sketch. A portion of the slab is considered as the effective flange width for the beam. The grades of concrete and reinforcing steel are M25 and Fe415, respectively. The total area of reinforcing ... , as per the Limit State Method of $\text{IS } 456:2000$ is $475.2$ $717.0$ $756.4$ $762.5$

The cross-section at mid-span of a beam at the edge of a slab is shown in the sketch. A portion of the slab is considered as the effective flange width for the beam. The ...

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190

GATE2017 CE-1: 29
A planar truss tower structure is shown in the figure. Consider the following statements about the external and internal determinacies of the truss. Externally Determinate External Static Indeterminacy $=1$ External Static Indeterminacy $=2$ Internally Determinate Internal Static Indeterminacy $=1$ ... S-False; T-False; U- True P-True; Q- True; R-False; S-True; T-False; U- True

A planar truss tower structure is shown in the figure.Consider the following statements about the external and internal determinacies of the truss.Externally DeterminateE...

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191

GATE Civil 2013 | Question: 6
The creep strains are caused due to dead loads only caused due to live loads only caused due to cyclic loads only independent of loads

The creep strains arecaused due to dead loads onlycaused due to live loads onlycaused due to cyclic loads onlyindependent of loads

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192

GATE Civil 2012 | Question: 7
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 $\dfrac{f_y}{E_s} \\$ $\dfrac{f_y}{E_s}+0.002 \\$ $\dfrac{f_y}{1.15E_s} \\$ $\dfrac{f_y}{1.15E_s}+0.002$

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$\dfrac{f_y...

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193

GATE2016-2-33
The portal frame shown in the figure is subjected to a uniformly distributed vertical load $w$ (per unit length). The bending moment in the beam at the joint ‘Q’ is zero $\dfrac{wL^2}{24}$ (hogging) $\dfrac{wL^2}{12}$ (hogging) $\dfrac{wL^2}{8}$ (sagging)

The portal frame shown in the figure is subjected to a uniformly distributed vertical load $w$ (per unit length).The bending moment in the beam at the joint ‘Q’ iszer...

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194

GATE2015-2-9
A column of size $450 \: mm \times 600\: mm $ has unsupported length of $3.0$ m and is braced against side sway in both directions. According to $IS \: 456:2000$, the minimum eccentricities (in mm) with respect to major and minor principal axes are: $20.0$ and $20.0$ $26.0$ and $21.0$ $26.0$ and $20.0$ $21.0$ and $15.0$

A column of size $450 \: mm \times 600\: mm $ has unsupported length of $3.0$ m and is braced against side sway in both directions. According to $IS \: 456:2000$, the min...

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195

GATE2014-1-33
A rectangular beam of width $(b)$ $230$ mm and effective depth $(d)$ $450$ mm is reinforced with four bars of $12$ mm diameter. The grade of concrete is $M20$ and grade of steel is $Fe500$. Given that for $M20$ ... diameter (in mm) of $Fe500$ steel two legged stirrups to be used at spacing of $375$ mm, should be $8$ $10$ $12$ $16$

A rectangular beam of width $(b)$ $230$ mm and effective depth $(d)$ $450$ mm is reinforced with four bars of $12$ mm diameter. The grade of concrete is $M20$ and grade o...

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196

GATE2015-1-19
The two columns below show some parameters and their possible values. ... $P - I, Q - V, R - VI, S - II$ $P - III, Q - II, R - V, S - IV$

The two columns below show some parameters and their possible values.$\begin{array}{ll} \textbf{Parameter} & \textbf{Value} \\ P – \text{ Gross Command Area} & I – 10...

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197

GATE2020 CE-2-19
The maximum applied load on a cylindrical concrete specimen of diameter $150\: mm$ and length $300\: mm$ tested as per the split tensile strength test guidelines of $IS\:5816:1999$ is $157\: kN$. The split tensile strength (in $MPa,$ round off to one decimal place) of the specimen is _______.

The maximum applied load on a cylindrical concrete specimen of diameter $150\: mm$ and length $300\: mm$ tested as per the split tensile strength test guidelines of $IS\:...

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198

GATE2016-1-32
Two beams $PQ$ (fixed at $P$ and with a roller support at $Q$, as shown in Figure I, which allows vertical movement) and $XZ$ (with a hinge at $Y$) are shown in the Figures I and II respectively. The spans of $PQ$ and $XZ$ are $L$ and $2L$ respectively. Both the ... $\delta_{\text{max1}} = \delta_{\text{max2}}$ and $\theta_{\text{max1}} = \theta_{\text{max2}}$

Two beams $PQ$ (fixed at $P$ and with a roller support at $Q$, as shown in Figure I, which allows vertical movement) and $XZ$ (with a hinge at $Y$) are shown in the Figur...

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199

GATE2017 CE-1: 38
A pre-tensioned rectangular concrete beam $150$ mm wide and $300$ mm depth is prestressed with three straight tendons, each having a cross-sectional are of $50 \: mm^2$, to an initial stress of $1200 \: N/mm^2$. The tendons are located at $100$ ... is $6$, the loss of prestressing force (in kN, up to one decimal place) due to the elastic deformation of concrete only is _________.

A pre-tensioned rectangular concrete beam $150$ mm wide and $300$ mm depth is prestressed with three straight tendons, each having a cross-sectional are of $50 \: mm^2$, ...

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200

GATE2015-1-33
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

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 fi...

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