Recent questions in Structural Engineering / GO Civil

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161

GATE2015-1-32
The bracket plate connected to a column flange transmits a load of $100$ kN as shown in the following figure. The maximum force for which the bolts should be designed is ______ kN.

The bracket plate connected to a column flange transmits a load of $100$ kN as shown in the following figure. The maximum force for which the bolts should be designed is ...

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162

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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163

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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164

GATE2015-1-35
A tapered circular rod of diameter varying from $20$ mm to $10$ mm is connected to another uniform circular rod of diameter $10$ mm as shown in the following figure. Both bars are made of same material with the modulus of elasticity, $E=2 \times 10^5$ MPa. When subjected to a load $P=30 \pi$ kN, the deflection at point $A$ is ______ mm.

A tapered circular rod of diameter varying from $20$ mm to $10$ mm is connected to another uniform circular rod of diameter $10$ mm as shown in the following figure. Both...

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165

GATE2015-1-36
Two beams are connected by a linear spring as shown in the following figure. For a load $P$ as shown in the figure, the percentage of the applied load $P$ carried by the spring is _________.

Two beams are connected by a linear spring as shown in the following figure. For a load $P$ as shown in the figure, the percentage of the applied load $P$ carried by the ...

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166

GATE2015-1-37
For the $2D$ truss with the applied loads shown below, the strain energy in the member $XY$ is _____ kN-m. For member $XY$, assume $AE=30$ kN, where $A$ is cross-section area and $E$ is the modulus of elasticity.

For the $2D$ truss with the applied loads shown below, the strain energy in the member $XY$ is _____ kN-m. For member $XY$, assume $AE=30$ kN, where $A$ is cross-section ...

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167

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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168

GATE2014-2-46
A suspension of sand like particles in water with particles of diameter $0.10$ mm and below is flowing into a settling tank at $0.10 \: m^3/s$. Assume $g=9.81 \: m/s^2$, specific gravity of particles $=2.65$ ... are (in $m^2$) required for this settling tank to remove particles of size $0.06$ mm and above with $100 \%$ efficiency is ___________

A suspension of sand like particles in water with particles of diameter $0.10$ mm and below is flowing into a settling tank at $0.10 \: m^3/s$. Assume $g=9.81 \: m/s^2$, ...

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169

GATE2014-2-30
The values of axial stress $(\sigma)$ in $kN/m^2$, bending moment $(M)$ in kNm, and shear force $(V)$ in kN acting at point P fr the arrangement shown in the figure are respectively. $1000, 75$ and $25$ $1250, 150$ and $50$ $1500, 225$ and $75$ $1750, 300$ and $100$

The values of axial stress $(\sigma)$ in $kN/m^2$, bending moment $(M)$ in kNm, and shear force $(V)$ in kN acting at point P fr the arrangement shown in the figure are r...

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170

GATE2014-2-31
The beam of an overall depth $250$ mm (shown below) is used in a building subjected to two different thermal environments. The temperatures at the top and bottom surfaces of the beam are $36^{\circ}$ and $72^{\circ}$ respectively. Considering coefficient of thermal ... per $^{\circ}C$, the vertical deflection of the beam (in mm) at its mid-span due to temperature gradient is ________

The beam of an overall depth $250$ mm (shown below) is used in a building subjected to two different thermal environments. The temperatures at the top and bottom surfaces...

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171

GATE2014-2-32
The axial load (in kN) in the member PQ for the arrangement/assembly shown in the figure given below is ______________

The axial load (in kN) in the member PQ for the arrangement/assembly shown in the figure given below is ______________

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172

GATE2014-2-33
Considering the symmetric of a rigid frame as shown below, the magnitude of the bending moment (in kNm) at P (preferably using the moment distribution method) is $170$ $172$ $176$ $178$

Considering the symmetric of a rigid frame as shown below, the magnitude of the bending moment (in kNm) at P (preferably using the moment distribution method) is$170$$172...

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173

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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174

GATE2014-2-35
The tension (in kN) in a $10$ m long cable, shown in the figure, neglecting its self-weight is $120$ $75$ $60$ $45$

The tension (in kN) in a $10$ m long cable, shown in the figure, neglecting its self-weight is$120$$75$$60$$45$

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175

GATE2014-2-36
For the state of stresses (IN MPa) shown in the figure below, the maximum shear stress (in MPa) is __________

For the state of stresses (IN MPa) shown in the figure below, the maximum shear stress (in MPa) is __________

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176

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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177

GATE2014-2-12
The static indeterminacy of the two-span continuous beam with an internal hinge, shown below, is _______

The static indeterminacy of the two-span continuous beam with an internal hinge, shown below, is _______

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178

GATE2014-2-6
Group I contains representative stress-strain curves as shown in the figure, while Group II gives the list of materials. Match the stress-strain curves with the corresponding materials. ... $P-3; \: Q - 1; \: R-2$ $P-3; \: Q - 2; \: R-1$

Group I contains representative stress-strain curves as shown in the figure, while Group II gives the list of materials. Match the stress-strain curves with the correspon...

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179

GATE2014-2-7
The first moment of area about the axis of bending for a beam cross-section is moment inertia section modulus shape factor polar moment of inertia

The first moment of area about the axis of bending for a beam cross-section ismoment inertiasection modulusshape factorpolar moment of inertia

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180

GATE2014-2-8
Polar moment of inertia $(I_p)$, in $cm^4$, of a rectangular section having width, $b=2$ cm and depth, $d=6$ cm is _______

Polar moment of inertia $(I_p)$, in $cm^4$, of a rectangular section having width, $b=2$ cm and depth, $d=6$ cm is _______

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181

GATE2014-2-9
The target mean strength $f_{cm}$ for concrete mix design obtained from the characteristic strength $f_{ck}$ and standard deviation $\sigma$, as defined in $IS:456-2000$, is $f_{ck}+1.35 \sigma$ $f_{ck}+1.45 \sigma$ $f_{ck}+1.55 \sigma$ $f_{ck}+1.65 \sigma$

The target mean strength $f_{cm}$ for concrete mix design obtained from the characteristic strength $f_{ck}$ and standard deviation $\sigma$, as defined in $IS:456-2000$,...

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182

GATE2014-2-10
The flexural tensile strength of $M25$ grade of concrete, in $N/mm^2$, as per $IS:456-2000$ is _______

The flexural tensile strength of $M25$ grade of concrete, in $N/mm^2$, as per $IS:456-2000$ is _______

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183

GATE2014-1-34
The tension and shear force (both in kN) in each bolt of the joint, as shown below, respectively are $30.33$ and $20.00$ $30.33$ and $25.00$ $33.33$ and $20.00$ $33.33$ and $25.00$

The tension and shear force (both in kN) in each bolt of the joint, as shown below, respectively are$30.33$ and $20.00$$30.33$ and $25.00$$33.33$ and $20.00$$33.33$ and $...

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184

GATE2014-1-35
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 ________

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 req...

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185

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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186

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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187

GATE2014-1-30
Mathematical idealization of a crane has three bars with their vertices arranged as shown in the figure with a load of $80$ kN hanging vertically. The coordinates of the vertices are given in parentheses. The force in the member $QR$, $F_{QR}$ will be $30$ kN Compressive $30$ kN Tensile $50$ Compressive $50$ kN Tensile

Mathematical idealization of a crane has three bars with their vertices arranged as shown in the figure with a load of $80$ kN hanging vertically. The coordinates of the ...

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188

GATE2014-1-31
For the cantilever beam of span $3$ m (shown below) m concentrated load of $20 \: kN$ applied at the free end causes a vertical displacement of $2$ mm at a section located at a distance of $1$ m from the fixed end. If a concentrated vertically downward load ... m from the fixed end (with no other load on the beam), the maximum vertical displacement in the same beam (in mm) is ______

For the cantilever beam of span $3$ m (shown below) m concentrated load of $20 \: kN$ applied at the free end causes a vertical displacement of $2$ mm at a section locate...

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189

GATE2014-1-32
For the truss shown below, the member $PQ$ is short by $3$ mm. The magnitude of vertical displacement of joint $R$ (in mm) is ______

For the truss shown below, the member $PQ$ is short by $3$ mm. The magnitude of vertical displacement of joint $R$ (in mm) is ______

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190

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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191

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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192

GATE2014-1-7
The possible location of shear centre of the channel section, shown below, is $P$ $Q$ $R$ $S$

The possible location of shear centre of the channel section, shown below, is$P$$Q$$R$$S$

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193

GATE2014-1-8
The ultimate collapse load $(P)$ in terms of plastic moment $M_p$ by kinematic approach for a propped cantilever of length $L$ with $P$ acting at its mid-span as shown in the figure, would be $P=\dfrac{2M_p}{L} \\$ $P=\dfrac{4M_p}{L} \\$ $P=\dfrac{6M_p}{L}\\$ $P=\dfrac{8M_p}{L}$

The ultimate collapse load $(P)$ in terms of plastic moment $M_p$ by kinematic approach for a propped cantilever of length $L$ with $P$ acting at its mid-span as shown in...

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194

GATE2014-1-9
While designing, for a steel column of $Fe250$ grade, a base plate resting on a concrete pedestal of $M20$ grade, the bearing strength of concrete (in $N/mm^2$) in limit state method of design as per $IS:456-2000$ is ________

While designing, for a steel column of $Fe250$ grade, a base plate resting on a concrete pedestal of $M20$ grade, the bearing strength of concrete (in $N/mm^2$) in limit ...

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195

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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196

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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197

GATE2014-1-12
In a beam of length $L$, four possible influence line diagram for shear force at a section located at a distance of $\dfrac{L}{4}$ from the left end support (marked as $P, Q, R,$ and $S$) are shown below. The correct influence line diagram is $P$ $Q$ $R$ $S$

In a beam of length $L$, four possible influence line diagram for shear force at a section located at a distance of $\dfrac{L}{4}$ from the left end support (marked as $P...

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198

GATE2014-1-6
Match the information given in Group - I with those in Group - II. ... $P-3; \: Q-4; \: R - 2;\: S - 1$ $P-4; \: Q-3; \: R - 2;\: S - 1$

Match the information given in Group – I with those in Group – II.$\begin{array}{llll} {} & \text{Group – I} & {} & \text{Group – II} \\ P & \text{Factor to decre...

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199

GATE Civil 2013 | Question: 44
Elevation and temperature data for a place are tabulated below: $\begin{array}{|c|c|} \hline \text{Elevation, m} & \text{Temperature, } ^{\circ}C \\ \hline 4 & 21.25 \\ \hline 444 & 15.70 \\ \hline \end{array}$ Based on the above data, lapse rate can be referred as Super-adiabatic Neutral Sub-adiabatic Inversion

Elevation and temperature data for a place are tabulated below:$$\begin{array}{|c|c|} \hline \text{Elevation, m} & \text{Temperature, } ^{\circ}C \\ \hline 4 & 21.25 \\ \...

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200

GATE Civil 2013 | Question: 48
A propped cantilever made of a prismatic steel beam is subjected to a concentrated load P at mid span as shown. If load $P=80$ kN, find the reaction $R$ (in kN) correct to $1$-decimal place) using elastic analysis ________

A propped cantilever made of a prismatic steel beam is subjected to a concentrated load P at mid span as shown.If load $P=80$ kN, find the reaction $R$ (in kN) correct to...

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