Hot questions in Structural Engineering / GO Civil

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161

GATE2014-1-36
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 $2.0 \times 10^{-6}$ $3.0 \times 10^{-6}$ $4.0 \times 10^{-6}$ $5.0 \times 10^{-6}$

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 concr...

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162

GATE2016-2-34
Consider the structural system shown in the figure under the action of weight $W$. All the joints are hinged. The properties of the members in terms of length ($L$), area ($A$) and the modulus of elasticity ($E$) are also given in the figure. Let $L$, $A$ and $E$ ... $=0.0417 \: m$ Compressive force $=100 \: kN$; Stress $=1000 \; kN/m^2$; Extension $=0.0417 \: m$

Consider the structural system shown in the figure under the action of weight $W$. All the joints are hinged. The properties of the members in terms of length ($L$), area...

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163

GATE2016-1-39
The Optimistic Time (O), Most likely Time (M) and Pessimistic Time (P) (in days) of the activities in the critical path are given below in the format O – M – P. The expected completion time (in days) of the project is ________

The Optimistic Time (O), Most likely Time (M) and Pessimistic Time (P) (in days) of the activities in the critical path are given below in the format O – M – P.The ex...

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164

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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165

GATE Civil 2013 | Question: 4
Maximum possible value of Compacting Factor for fresh (green) concrete is $0.5$ $1.0$ $1.5$ $2.0$

Maximum possible value of Compacting Factor for fresh (green) concrete is$0.5$$1.0$$1.5$$2.0$

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166

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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167

GATE2014-1-10
A steel section is subjected to a combination of shear and bending actions. The applied shear force is $V$ and the shear capacity of the section is $V_s$. For such a section, high shear force (as per $IS : 800 – 2007$) is defined as $V>0.6V_s$ $V>0.7V_s$ $V>0.8V_s$ $V>0.9V_s$

A steel section is subjected to a combination of shear and bending actions. The applied shear force is $V$ and the shear capacity of the section is $V_s$. For such a sect...

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168

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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169

GATE2014-2-11
The modulus of elasticity, $E=5000 \sqrt{f_{ck}}$ where $f_{ck}$ is the characteristic compressive strength of concrete, specified in $IS:456-2000$ is based on tangent modulus initial tangent modulus secant modulus chord modulus

The modulus of elasticity, $E=5000 \sqrt{f_{ck}}$ where $f_{ck}$ is the characteristic compressive strength of concrete, specified in $IS:456-2000$ is based ontangent mod...

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170

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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171

GATE Civil 2013 | Question: 11
A symmetric I-section (with width of each flange $=50$ mm, thickness of each flange $=10$ mm, depth of web $=100$ mm, and thickness of web $=10$ mm) of steel is subjected to a shear force of $100$ kN. Find the magnitude of the shear stress (in $N/mm^2$) in the web at its junction with the top flange _______

A symmetric I-section (with width of each flange $=50$ mm, thickness of each flange $=10$ mm, depth of web $=100$ mm, and thickness of web $=10$ mm) of steel is subjected...

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172

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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173

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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174

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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175

GATE2017 CE-1: 44
A particle of mass $2$ kg is travelling at a velocity of $1.5$ m/s. A force $f(t) = 3t^2$ (in N) is applied to it in the direction of motion for a duration of $2$ seconds, where $t$ denotes time in seconds. The velocity (in m/s, up to one decimal place) of the particle immediately after the removal of the force is _______.

A particle of mass $2$ kg is travelling at a velocity of $1.5$ m/s. A force $f(t) = 3t^2$ (in N) is applied to it in the direction of motion for a duration of $2$ seconds...

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176

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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177

GATE2016-2-38
A fixed-end beam is subjected to a concentrated load ($P$) as shown in the figure. The beam has two different segments having different plastic moment capacities ($M_P, 2M_P$) as shown. The minimum value of load ($P$) at which the beam would collapse (ultimate load) is $7.5 \: M_P/L$ $5.0 \: M_P/L$ $4.5 \: M_P/L$ $2.5 \: M_P/L$

A fixed-end beam is subjected to a concentrated load ($P$) as shown in the figure. The beam has two different segments having different plastic moment capacities ($M_P, 2...

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178

GATE Civil 2012 | Question: 32
The sketch shows a column with a pin at the base and rollers at the top. It is subjected to an axial force $P$ and a moment $M$ at mid-height. The reaction(s) at R is/are a vertical force equal to $P$ a vertical force equal to $P/2$ a vertical force equal to $P$ an a horizontal force equal to $M/h$ a vertical force equal to $P/2$ and a horizontal force equal to $M/h$

The sketch shows a column with a pin at the base and rollers at the top. It is subjected to an axial force $P$ and a moment $M$ at mid-height. The reaction(s) at R is/are...

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179

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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180

GATE2016-2-37
Two bolted plates under tension with alternative arrangement of bolt holes are shown in figure $1$ and $2$. The hole diameter, pitch, and gauge length are $d$, $p$ and $g$, respectively. Which one of the following conditions must be ensured to have higher net tensile capacity of configuration ... shown in Figure $1$? $p^2 > 2gd$ $p^2 < \sqrt{4gd}$ $p^2 > 4gd$ $p > 4gd$

Two bolted plates under tension with alternative arrangement of bolt holes are shown in figure $1$ and $2$. The hole diameter, pitch, and gauge length are $d$, $p$ and $g...

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181

GATE Civil 2013 | Question: 33
A uniform beam weighing $1800 \: N$ is supported at E and F by cable ABCD. Determine the tension (in $N$) in segment AB of this cable (correct to $1$- decimal place). Assume the cables ABCD, BE and CF to be weightless. _______

A uniform beam weighing $1800 \: N$ is supported at E and F by cable ABCD. Determine the tension (in $N$) in segment AB of this cable (correct to $1$- decimal place). Ass...

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182

GATE2014-2-50
In a Marshall sample, the bulk specific gravity of mix and aggregates are $2.324$ and $2.546$ respectively. The sample includes $5 \%$ of bitumen (by total weight of mix) of specific gravity $1.10$. The theoretical maximum specific gravity of mix is $2.441$. The void filled with bitumen (VFB) in the Marshall sample (in $\%$) is _______

In a Marshall sample, the bulk specific gravity of mix and aggregates are $2.324$ and $2.546$ respectively. The sample includes $5 \%$ of bitumen (by total weight of mix)...

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183

GATE2015-2-10
Prying forces are shearing forces on the bolts because of the joints tensile forces due to the flexibility of connected parts bending forces on the bolts because of the joints forces due the friction between connected parts

Prying forces areshearing forces on the bolts because of the jointstensile forces due to the flexibility of connected partsbending forces on the bolts because of the join...

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184

GATE Civil 2013 | Question: 9
Two steel columns P (length $L$ and yield strength $f_y=250$ MPa) and Q (length $2L$ and yield strength $f_y=500$ MPa) have the same cross-sections and end-conditions. The ratio of buckling load of column P to that of column Q is $0.5$ $1.0$ $2.0$ $4.0$

Two steel columns P (length $L$ and yield strength $f_y=250$ MPa) and Q (length $2L$ and yield strength $f_y=500$ MPa) have the same cross-sections and end-conditions. Th...

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185

GATE Civil 2012 | Question: 6
If a small concrete cube is submerged deep in still water in such a way that the pressure exerted on all faces of the cube is $p$, then the maximum shear stress developed inside the cube is $0$ $\dfrac{p}{2}$ $p$ $2p$

If a small concrete cube is submerged deep in still water in such a way that the pressure exerted on all faces of the cube is $p$, then the maximum shear stress developed...

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186

GATE2015-2-8
A guided support as shown in the figure below is represented by three springs (horizontal, vertical and rotational) with stiffness $k_x, k_y$ and $k_{\theta}$ respectively. The limiting values of $k_x, k_y$ and $k_{\theta}$ are: $\infty, 0, \infty$ $\infty, \infty, \infty$ $0, \infty, \infty$ $\infty, \infty, 0$

A guided support as shown in the figure below is represented by three springs (horizontal, vertical and rotational) with stiffness $k_x, k_y$ and $k_{\theta}$ respectivel...

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187

GATE Civil 2012 | Question: 33
A concrete beam prestressed with a parabolic tendon is shown in the sketch. The eccentricity of the tendon is measured from the centroid of the cross-section. The applied prestressing force at service is $1620$ kN. The uniformly distributed load of $45$ kN/m ... in the bottom fibre at mid-span is tensile $2.90$ compressive $2.90$ tensile $4.32$ compressive $4.32$

A concrete beam prestressed with a parabolic tendon is shown in the sketch. The eccentricity of the tendon is measured from the centroid of the cross-section. The applied...

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188

GATE2015-2-40
Stress path equation for tri-axial test upon application of deviatoric stress is, $q=10 \sqrt{3}+0.5p$. The respective values of cohesion, $c$ (in kPa) and angle of internal friction, $\phi$ are: $20$ and $20^{\circ}$ $20$ and $30^{\circ}$ $30$ and $30^{\circ}$ $30$ and $20^{\circ}$

Stress path equation for tri-axial test upon application of deviatoric stress is, $q=10 \sqrt{3}+0.5p$. The respective values of cohesion, $c$ (in kPa) and angle of inter...

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189

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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190

GATE2015-2-53
In Marshall method of mix design, the coarse aggregate, fine aggregate, fines and bitumen having respective values of specific gravity $2.60, 2.70, 2.65$ and $1.01$, are mixed in the relative proportions ($\%$ by weight) of $55.0, \: 35.8, \: 3.7$ and $5.5$ respectively. The ... the mix respectively are: $2.42$ and $2.63$ $2.42$ and $2.78$ $2.42$ and $2.93$ $2.64$ and $2.78$

In Marshall method of mix design, the coarse aggregate, fine aggregate, fines and bitumen having respective values of specific gravity $2.60, 2.70, 2.65$ and $1.01$, are ...

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191

GATE2015-1-34
For formation of $\textit{collapse mechanism}$ in the following figure, the minimum value of $P_u$ is $cM_p/L$. $M_p$ and $3M_p$ denote the plastic moment capacities of beam sections as shown in this figure. The value of $c$ is ________.

For formation of $\textit{collapse mechanism}$ in the following figure, the minimum value of $P_u$ is $cM_p/L$. $M_p$ and $3M_p$ denote the plastic moment capacities of b...

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192

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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193

GATE Civil 2012 | Question: 34
A symmetric frame $PQR$ consists of two inclined members $PQ$ and $QR$, connected at $‘Q’$ with a rigid joint, and hinged at $‘P’$ and $‘R’$. The horizontal length $PR$ is $l$. If a weight $W$ is suspended at $‘Q’$, the bending moment at $‘Q’$ is $\dfrac{Wl}{2} \\$ $\dfrac{Wl}{4} \\$ $\dfrac{Wl}{8} \\$ zero

A symmetric frame $PQR$ consists of two inclined members $PQ$ and $QR$, connected at $‘Q’$ with a rigid joint, and hinged at $‘P’$ and $‘R’$. The horizontal l...

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194

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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195

GATE Civil 2012 | Question: 5
The following statements are related to bending of beams: The slope of the bending moment diagram is equal to the shear force. The slope of the shear force diagram is equal to the load intensity. The slope of the curvature is equal to the flexural ... The second derivative of the deflection is equal to the curvature. The only $\textbf{FALSE}$ statement is I II III IV

The following statements are related to bending of beams:The slope of the bending moment diagram is equal to the shear force.The slope of the shear force diagram is equal...

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196

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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197

GATE Civil 2012 | Question: 12
Two series of compaction tests were performed in the laboratory on an inorganic clayey soil employing two different levels of compaction energy per unit volume of soil. With regards to the above tests, the following two statements are made. The optimum moisture content ... statements is Only I is TRUE Only II is TRUE Both I and II are TRUE Neither I nor II is TRUE

Two series of compaction tests were performed in the laboratory on an inorganic clayey soil employing two different levels of compaction energy per unit volume of soil. W...

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198

GATE2015-2-36
A fixed end beam is subjected to a load, W at $1/3$ rd span from the left support as shown in the figure. The collapse load of the beam is: $16.5 M_p/L$ $15.5 M_p/L$ $15.0 M_p/L$ $16.0 M_p/L$

A fixed end beam is subjected to a load, W at $1/3$ rd span from the left support as shown in the figure. The collapse load of the beam is:$16.5 M_p/L$$15.5 M_p/L$$15.0 M...

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199

GATE2015-1-4
Workability of concrete can be measured using slump, compaction factor and Vebe time. Consider the following statements for workability of concrete. As the slump increases, the Vebe time increases As the slump increases, the compaction factor increases Which of the following is TRUE? Both (i) and ( ... (i) and (ii) are False (i) is True and (ii) is False (i) is False and (ii) is True

Workability of concrete can be measured using slump, compaction factor and Vebe time. Consider the following statements for workability of concrete.As the slump increases...

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200

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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