Recent questions in Structural Engineering / GO Civil

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201

GATE Civil 2013 | Question: 49
A propped cantilever made of a prismatic steel beam is subjected to a concentrated load P at mid span as shown. If the magnitude of load $P$ is increased till collapse and the plastic moment carrying capacity of steel beam section is $90$ kNm, determine reaction $R$ (in kN) (correct to $1$-decimal place) using plastic analysis _______

A propped cantilever made of a prismatic steel beam is subjected to a concentrated load P at mid span as shown.If the magnitude of load $P$ is increased till collapse and...

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202

GATE Civil 2013 | Question: 31
All members in the rigid-jointed frame shown are prismatic and have the same flexural stiffness $EI$. Find the magnitude of the bending moment at $Q$ (in kNm) due to given loading ________

All members in the rigid-jointed frame shown are prismatic and have the same flexural stiffness $EI$. Find the magnitude of the bending moment at $Q$ (in kNm) due to give...

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203

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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204

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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205

GATE Civil 2013 | Question: 34
Beam $PQRS$ has internal hinges in spans $PQ$ and $RS$ as shown. The beam may be subjected to a moving distributed vertical load of maximum intensity $4 \:kN/m$ of any length anywhere on the beam. The maximum absolute value of the shear force (in $kN$) that can occur due to this loading just to the right of support $Q$ shall be $30$ $40$ $45$ $55$

Beam $PQRS$ has internal hinges in spans $PQ$ and $RS$ as shown. The beam may be subjected to a moving distributed vertical load of maximum intensity $4 \:kN/m$ of any le...

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206

GATE Civil 2013 | Question: 35
A rectangular concrete beam $250$ mm wide and $600$ mm deep is pre-stressed by means of $16$ high tensile wires, each of $7$ mm diameter, located at $200$ mm from the bottom face of the beamat a given section. If the effective pre- ... beam can with stand without causing tensile stress at the bottom face of of the beam? Neglect the effect of dead load of beam ______

A rectangular concrete beam $250$ mm wide and $600$ mm deep is pre-stressed by means of $16$ high tensile wires, each of $7$ mm diameter, located at $200$ mm from the bot...

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207

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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208

GATE Civil 2013 | Question: 8
The ‘plane section remains plane’ assumption in bending theory implies strain profile is linear stress profile is linear both strain and strain profiles are linear shear deformations are neglected

The ‘plane section remains plane’ assumption in bending theory impliesstrain profile is linearstress profile is linearboth strain and strain profiles are linearshear ...

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209

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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210

GATE Civil 2013 | Question: 10
The pin-jointed $2-D$ truss is loaded with a horizontal force of $15 \: kN$ at joint S and another $15 \: kN$ vertical force at joint U, as shown. Find the force in member RS (in $kN$) and report your answer taking tension as positive and compression as negative _________

The pin-jointed $2-D$ truss is loaded with a horizontal force of $15 \: kN$ at joint S and another $15 \: kN$ vertical force at joint U, as shown. Find the force in membe...

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211

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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212

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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213

GATE Civil 2013 | Question: 5
As per $IS \: 800:2007$, the cross-section in which the extreme fiber can reach the yield stress, but cannot develop the plastic moment of resistance due to failure by local buckling is classified as plastic section compact section semi-compact section slender section

As per $IS \: 800:2007$, the cross-section in which the extreme fiber can reach the yield stress, but cannot develop the plastic moment of resistance due to failure by lo...

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214

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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215

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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216

GATE Civil 2012 | Question: 52
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 ... mm) computed as per the Limit State Method of $IS \: 456:2000$ is $200.0$ $223.3$ $236.3$ $273.6$

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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217

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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218

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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219

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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220

GATE Civil 2012 | Question: 35
Two plates are connected by filler welds of size $10$ mm and subjected to tension, as shown in the sketch. The thickness of each plate is $12$ mm. The yield stress and the ultimate tensile stress of steel are $250$ MPa and $410$ MPa, respectively. The welding is done ... mm) of each weld to transmit a force $P$ equal to $270$ kN is $100$ mm $105$ mm $110$ mm $115$ mm

Two plates are connected by filler welds of size $10$ mm and subjected to tension, as shown in the sketch. The thickness of each plate is $12$ mm. The yield stress and th...

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221

GATE Civil 2012 | Question: 31
A simply supported beam is subjected ti a uniformly distributed load of intensity $w$ per unit length, on half of the span from one end. The length of the span and the flexural stiffness are denoted as $l$ and $EI$ ... $\dfrac{5}{384} \dfrac{wl^4}{EI} \\$ $\dfrac{5}{192} \dfrac{wl^4}{EI}$

A simply supported beam is subjected ti a uniformly distributed load of intensity $w$ per unit length, on half of the span from one end. The length of the span and the fl...

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222

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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223

GATE Civil 2012 | Question: 13
As per the Indian Standard soil classification system, a sample of silty clay liquid limit of $40\%$ and plasticity index of $28\%$ is classified as CH CI CL CL-ML

As per the Indian Standard soil classification system, a sample of silty clay liquid limit of $40\%$ and plasticity index of $28\%$ is classified asCHCICLCL-ML

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224

GATE Civil 2012 | Question: 14
A smooth rigid retaining wall moves as shown in the sketch causing the backfill material to fail. The backfill material is homogeneous and isotrophic, and obeys the Mohr-Coulomb failure criterion. The major principal stress is parallel to the ... acting downwards normal to the wall face oblique to the wall face acting downwards oblique to the wall face acting upwards

A smooth rigid retaining wall moves as shown in the sketch causing the backfill material to fail. The backfill material is homogeneous and isotrophic, and obeys the Mohr-...

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225

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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226

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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227

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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228

GATE Civil 2012 | Question: 9
In a steel plate with bolted connections, the rupture of the net section is a mode of failure under tension compression flexure shear

In a steel plate with bolted connections, the rupture of the net section is a mode of failure undertensioncompressionflexureshear

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229

GATE Civil 2012 | Question: 10
The ratio of the theoretical critical buckling load for a column with fixed ends to that of another column with the same dimensions and material, but with pinned ends, is equal to $0.5$ $1.0$ $2.0$ $4.0$

The ratio of the theoretical critical buckling load for a column with fixed ends to that of another column with the same dimensions and material, but with pinned ends, is...

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230

GATE Civil 2012 | Question: 11
The effective stress friction angle of a saturated, cohesionless soil is $38^{\circ}$. The ratio of shear stress to normal effective stress on the failure plane is $0.781$ $0.616$ $0.488$ $0.438$

The effective stress friction angle of a saturated, cohesionless soil is $38^{\circ}$. The ratio of shear stress to normal effective stress on the failure plane is$0.781$...

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231

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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232

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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233

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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234

GATE2018 CE-2: 50
A coal containing $2 \%$ sulfur is burned completely to ash in a brick kiln at a rate of $30$ kg/min. The sulfur content in the ash was found to be $6 \%$ of the initial amount of sulfur present in the coal fed to the brick kiln. The ... /mole, respectively. The annual rate of sulfur dioxide $(SO_2)$ emission from the kiln (in tonnes/year, up to two decimal places) is ________

A coal containing $2 \%$ sulfur is burned completely to ash in a brick kiln at a rate of $30$ kg/min. The sulfur content in the ash was found to be $6 \%$ of the initial ...

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235

GATE2018 CE-2: 38
An $8$ m long simply-supported elastic beam of rectangular cross-section ($100$ mm $\times 200 $mm) is subjected to a uniformly distributed load of $10$ kN/m over its entire span. The maximum principal stress (in MPa, up to two decimal places) at a point located at the extreme compression edge of a cross-section and at $2$ m from the support is _______

An $8$ m long simply-supported elastic beam of rectangular cross-section ($100$ mm $\times 200 $mm) is subjected to a uniformly distributed load of $10$ kN/m over its ent...

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236

GATE2018 CE-2: 39
A prismatic beam P-Q-R of flexural rigidity $EI = 1 \times 10^4 kNm^2$ is subjected to a momemnt of $180 kNm$ at Q as shown in the figure The rotation at Q (in rad. up to two decimal places is_____

A prismatic beam P-Q-R of flexural rigidity $EI = 1 \times 10^4 kNm^2$ is subjected to a momemnt of $180 kNm$ at Q as shown in the figureThe rotation at Q (in rad. up to ...

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237

GATE2018 CE-2: 40
A prismatic propped cantilever beam of span $L$ and plastic moment capacity $M_p$ is subjected to a concentrated load at its mid-span. If the collapse load of the beam is $\alpha \dfrac{M_p}{L}$, the value of $\alpha$ is ______

A prismatic propped cantilever beam of span $L$ and plastic moment capacity $M_p$ is subjected to a concentrated load at its mid-span. If the collapse load of the beam is...

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238

GATE2018 CE-2: 41
A $6$ m long simply-supported beam is prestressed as shown in the figure. The beam carries a uniformly distributed load of $6$ kN/m over its entire span. If the effective flexural rigidity $EI=2 \times 10^4 \: kNm^2$ and the effective prestressing force is $200$ kN, the net increase in length of the prestressing cable (in mm, up to two decimal places) is _____

A $6$ m long simply-supported beam is prestressed as shown in the figure.The beam carries a uniformly distributed load of $6$ kN/m over its entire span. If the effective ...

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239

GATE2018 CE-2: 42
A cable PQ of length $25$ m is supported at two ends at the same level as shown in the figure. The horizontal distance between the supports is $20$ m. A point load of $150$ kN is applied at point R which divides into two equal parts. Neglecting the self-weight of the cable, the tension (in kN, in integer value) in the cable due to the applied load will be _______

A cable PQ of length $25$ m is supported at two ends at the same level as shown in the figure. The horizontal distance between the supports is $20$ m. A point load of $15...

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240

GATE2018 CE-2: 44
The total horizontal and vertical stresses at a point X in a saturated sandy medium are $170$ kPa and $300$ kPa, respectively. The static pore-water pressure is $30$ kPa. At failure, the excess pore-water pressure is measured to be $94.50$ kPa, and the shear ... angle of internal friction is $36^{\circ}$. The shear strength (in kPa, up to two decimal places) at point X is _____

The total horizontal and vertical stresses at a point X in a saturated sandy medium are $170$ kPa and $300$ kPa, respectively. The static pore-water pressure is $30$ kPa....

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