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GATE2019 CE-1: 6
An element is subjected to biaxial normal tensile strains of $0.0030$ and $0.0020$. The normal strain in the plane of maximum shear strain is Zero $0.0010$ $0.0025$ $0.0050$

An element is subjected to biaxial normal tensile strains of $0.0030$ and $0.0020$. The normal strain in the plane of maximum shear strain isZero$0.0010$$0.0025$$0.0050$

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GATE2019 CE-2: 8
For a channel section subjected to a downward vertical shear force at its centroid, which one of the following represents the correct distribution of shear stress in flange and web?

For a channel section subjected to a downward vertical shear force at its centroid, which one of the following represents the correct distribution of shear stress in flan...

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GATE2018 CE-1: 4
A column of height $h$ with a rectangular cross-section of size $a \times 2a$ has a buckling load of $P$. If the cross-section is changed to $0.5 a \times 3a$ and its height changed to 1.5$h$, the buckling load of the redesigned column will be $P/12$ $P/4$ $P/2$ $3P/4$

A column of height $h$ with a rectangular cross-section of size $a \times 2a$ has a buckling load of $P$. If the cross-section is changed to $0.5 a \times 3a$ and its hei...

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GATE Civil 2021 Set 2 | Question: 6
Strain hardening of structural steel means experiencing higher stress than yield stress with increased deformation strengthening steel member externally for reducing strain experienced strain occurring before plastic flow of steel material decrease in the stress experienced with increasing strain

Strain hardening of structural steel meansexperiencing higher stress than yield stress with increased deformationstrengthening steel member externally for reducing strain...

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GATE2019 CE-1: 8
Assuming that there is no possibility of shear buckling in the web, the maximum reduction permitted by $\text{IS 800-2007}$ in the (low-shear) design bending strength of a semi-compact steel section due to high shear is zero $\text{25 %}$ $\text{50 %}$ governed bye the area of the flange

Assuming that there is no possibility of shear buckling in the web, the maximum reduction permitted by $\text{IS 800-2007}$ in the (low-shear) design bending strength of ...

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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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GATE2017 CE-2-16
In a material under a state of plane strain, a $10 \times 10$ mm square centered at a point gets deformed as shown in the figure. If the shear strain $\gamma_{xy}$ at this point is expressed as $0.001k$ (in rad), the value of $k$ is $0.50$ $0.25$ $- 0.25$ $- 0.50$

In a material under a state of plane strain, a $10 \times 10$ mm square centered at a point gets deformed as shown in the figure.If the shear strain $\gamma_{xy}$ at this...

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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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GATE2019 CE-2: 5
A closed thin-walled tube has thickness, $t$, mean enclosed area within the boundary of the centerline of tube’s thickness, $A_m$, and shear stress, $\tau$. Torsional moment of resistance, $T$, of the section would be $0.5 \tau A_m t$ $\tau A_m t$ $2 \tau A_m t$ $4 \tau A_m t$

A closed thin-walled tube has thickness, $t$, mean enclosed area within the boundary of the centerline of tube’s thickness, $A_m$, and shear stress, $\tau$. Torsional m...

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GATE Civil 2021 Set 2 | Question: 19
A solid circular torsional member $\text{OPQ}$ is subjected to torsional moments as shown in the figure (not to scale). The yield shear strength of the constituent material is $\text{160 MPa}$. The absolute maximum shear stress in the member (in $\text{MPa}$, $\textit{round off to one decimal place}$) is __________________________

A solid circular torsional member $\text{OPQ}$ is subjected to torsional moments as shown in the figure (not to scale). The yield shear strength of the constituent materi...

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11

GATE2017 CE-1: 41
Consider the beam ABCD shown in the figure. For a moving concentrated load of $50$ kN on the beam, the magnitude of the maximum bending moment (in kN-m) obtained at the support C will be equal to ________.

Consider the beam ABCD shown in the figure.For a moving concentrated load of $50$ kN on the beam, the magnitude of the maximum bending moment (in kN-m) obtained at the su...

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12

GATE2020-CE-1-30
A cantilever beam $\textbf{PQ}$ of uniform flexural rigidity (EI) is subjected to a concentrated moment M at $\textbf{R}$ as shown in the figure The deflection at the free end $\textbf{Q}$ is $\large\frac{ML^2}{6EI} \\$ $\large\frac{ML^2}{4EI} \\$ $\large\frac{3ML^2}{8EI} \\$ $\large\frac{3ML^2}{4EI} $

A cantilever beam $\textbf{PQ}$ of uniform flexural rigidity (EI) is subjected to a concentrated moment M at $\textbf{R}$ as shown in the figure The deflection at the fre...

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13

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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GATE2018 CE-2: 23
A fillet weld is simultaneously subjected to factored normal and shear stresses of $120$ MPa and $50$ MPa, respectively. As per $\text{ IS }800:2007$, the equivalent stress (in MPa, up to two decimal places) is _____

A fillet weld is simultaneously subjected to factored normal and shear stresses of $120$ MPa and $50$ MPa, respectively. As per $\text{ IS }800:2007$, the equivalent stre...

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15

GATE2018 CE-1: 19
In a fillet weld, the direct shear stress and bending tensile stress are $50$ MPa and $150$ MPa, respectively. As per $\text{IS }800:2007$, the equivalent stress (in MPa, up to two decimal places) will be ______

In a fillet weld, the direct shear stress and bending tensile stress are $50$ MPa and $150$ MPa, respectively. As per $\text{IS }800:2007$, the equivalent stress (in MPa,...

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16

GATE2019 CE-2: 29
For a plane stress problem, the state of stress at a point P is represented by the stress element as shown in figure. By how much angle $( \theta)$ in degrees the stress element should be rotated in order to get the planes of maximum shear stress? $13.3$ $26.6$ $31.7$ $48.3$

For a plane stress problem, the state of stress at a point P is represented by the stress element as shown in figure.By how much angle $( \theta)$ in degrees the stress e...

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17

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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18

GATE Civil 2021 Set 2 | Question: 37
An elevated cylindrical water storage tank is shown in the figure. The tank has inner diameter of $\text{1.5 m}$. It is supported on a solid steel circular column of diameter $\text{75 mm}$ and total height $\text{(L)}$ of $\text{4m}$ ... $\text{(h)}$ of the water permissible (in $\text{m}$, $\textit{round off to one decimal place}$) is ________________________

An elevated cylindrical water storage tank is shown in the figure. The tank has inner diameter of $\text{1.5 m}$. It is supported on a solid steel circular column of diam...

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19

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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GATE Civil 2021 Set 2 | Question: 29
A frame $\text{EFG}$ is shown in the figure. All members are prismatic and have equal flexural rigidity. The member $\text{FG}$ carries a uniformly distributed load $\text{w}$ per unit length. Axial deformation of any member is neglected. Considering the joint $\text{F}$ being ... $\text{0.375 wL}$ $\text{0.453 wL}$ $\text{0.482 wL}$ $\text{0.500 wL}$

A frame $\text{EFG}$ is shown in the figure. All members are prismatic and have equal flexural rigidity. The member $\text{FG}$ carries a uniformly distributed load $\tex...

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21

GATE2020-CE-1-19
A planar elastic structure is subjected to uniformly distributed load, as shown in the figure (not drawn to the scale) Neglecting self-weight, the maximum bending moment generated in the structure (in $kN.m$, round off to the nearest integer), is _______.

A planar elastic structure is subjected to uniformly distributed load, as shown in the figure (not drawn to the scale)Neglecting self-weight, the maximum bending moment g...

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22

GATE2018 CE-1: 29
A plate in equilibrium is subjected to uniform stresses along its edges with magnitude $\sigma_{xx} = 30 MPa$ and $\sigma_{yy} = 50 MPa$ as shown in the figure. The Young's modulus of the material is $2 \times 10^{11} \: N/m^2$ and the Poisson's ratio is $0.3$. If ... then the strain $\varepsilon_{zz}$ $-120 \times 10^{-6}$ $-60 \times 10^{-6}$ $0.0$ $120 \times 10^{-6}$

A plate in equilibrium is subjected to uniform stresses along its edges with magnitude $\sigma_{xx} = 30 MPa$ and $\sigma_{yy} = 50 MPa$ as shown in the figure.The Young'...

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23

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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24

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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25

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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GATE2017 CE-1: 5
A simply supported beam is subjected to a uniformly distributed load. Which one of the following statements is true? Maximum or minimum shear force occurs where the curvature is zero Maximum or minimum bending moment occurs where the shear force is ... minimum bending moment occurs where the curvature is zero Maximum bending moment and maximum shear force occur at the same section

A simply supported beam is subjected to a uniformly distributed load. Which one of the following statements is true?Maximum or minimum shear force occurs where the curvat...

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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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GATE2019 CE-1: 31
The cross-section of a built-up wooden beam as shown in the figure (not drawn to scale) is subjected to a vertical shear force of $8 \: kN$. The beam is symmetrical about the neural axis (N.A.) shown, and the moment of inertia about N.A. is $1.5 \times 10^9 \: mm^4$. ... , each of the nails at P will be subjected to the shear force of $60 \: N$ $120 \: N$ $240 \: N$ $480 \: N$

The cross-section of a built-up wooden beam as shown in the figure (not drawn to scale) is subjected to a vertical shear force of $8 \: kN$. The beam is symmetrical about...

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29

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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GATE2019 CE-2: 36
A long uniformly distributed load of $10 \: kN/m$ and a concentrated load of $60 \: kN$ are moving together on the beam ABCD shown in the figure (not drawn to scale). The relative positions of the two loads are not fixed. The maximum shear force (in $kN$, round off to the nearest integer) caused at the internal hinge B due to the two loads is _________

A long uniformly distributed load of $10 \: kN/m$ and a concentrated load of $60 \: kN$ are moving together on the beam ABCD shown in the figure (not drawn to scale). The...

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31

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 ...

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32

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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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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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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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...

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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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37

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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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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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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GATE2020 CE-2-29
The planar structure $RST$ shown in the figure is roller-supported at $S$ and pin-supported at $R.$ Members $RS$ and $ST$ have uniform flexural rigidity $(EI)$ and $S$ is a rigid joint. Consider only bending deformation and neglect effects of self-weight and axial stiffening. When the ... $R,$ is $\dfrac{PL^3}{12EI}$ $\dfrac{PL^2}{12EI}$ $\dfrac{PL^2}{6EI}$ $\dfrac{PL}{6EI}$

The planar structure $RST$ shown in the figure is roller-supported at $S$ and pin-supported at $R.$ Members $RS$ and $ST$ have uniform flexural rigidity $(EI)$ and $S$ is...

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