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241
GATE Civil 2023 Set 1 | Question: 35
In the following table, identify the correct set of associations between the entries in Column-$1$ and Column-$2.$ ... $\text{Q-III, R-II, S-IV}$ $\text{P-IV, R-I, S-II}$ $\text{P-III, Q-I, R-IV}$
In the following table, identify the correct set of associations between the entries in Column-$1$ and Column-$2.$$$\begin{array}{|l|l|}\hline {\qquad \text{Column-1} } &...
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GATE Civil 2023 Set 1 | Question: 36
A plot of speed-density relationship (linear) of two roads (Road $\mathrm{A}$ and Road $\mathrm{B}$) is shown in the figure. If the capacity of Road $\mathrm{A}$ is $C_A$ and the capacity of Road $\mathrm{B}$ is $C_B$, what is $\frac{C_A}{C_B}$? $\frac{k_A}{k_B}$ $\frac{u_A}{u_B}$ $\frac{k_A u_A}{k_B u_B}$ $\frac{k_A u_B}{k_B u_A}$
A plot of speed-density relationship (linear) of two roads (Road $\mathrm{A}$ and Road $\mathrm{B}$) is shown in the figure.If the capacity of Road $\mathrm{A}$ is $C_A$ ...
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GATE Civil 2023 Set 1 | Question: 37
For the matrix $[A]=\left[\begin{array}{lll}1 & 2 & 3 \\3 & 2 & 1 \\3 & 1 & 2\end{array}\right]$ which of the following statements is/are TRUE? The eigenvalues of $[A]^{T}$ are same as the eigenvalues of $[A]$ The ... $[A]^{T}$ are same as the eigenvectors of $[A]$ The eigenvectors of $[A]^{-1}$ are same as the eigenvectors of $[A]$
For the matrix$$[A]=\left[\begin{array}{lll}1 & 2 & 3 \\3 & 2 & 1 \\3 & 1 & 2\end{array}\right]$$which of the following statements is/are TRUE?The eigenvalues of $[A]^{T}...
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GATE Civil 2023 Set 1 | Question: 38
For the function $f(x)=e^{x}|\sin x|; x \in \mathbb{R},$ which of the following statements is/are TRUE? The function is continuous at all $x$ The function is differentiable at all $x$ The function is periodic The function is bounded
For the function $f(x)=e^{x}|\sin x|; x \in \mathbb{R},$ which of the following statements is/are TRUE? The function is continuous at all $x$The function is differentiabl...
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GATE Civil 2023 Set 1 | Question: 39
Consider the beam shown in the figure (not to scale), on a hinge support at end $\mathrm{A}$ and a roller support at end $\mathrm{B}$. The beam has a constant flexural rigidity, and is subjected to the external ... statements is/are TRUE? Support reactions are zero Shear force is zero everywhere Bending moment is zero everywhere Deflection is zero everywhere
Consider the beam shown in the figure (not to scale), on a hinge support at end $\mathrm{A}$ and a roller support at end $\mathrm{B}$. The beam has a constant flexural ri...
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GATE Civil 2023 Set 1 | Question: 40
Which of the following statements is/are TRUE in relation to the Maximum Mixing Depth (or Height) $\mathrm{D}_{\max }$' in the atmosphere? $\mathrm{D}_{\max }$ is always equal to the height of the layer of ... smaller air pollution potential if other meteorological conditions remain same Vertical dispersion of pollutants occurs up to $\mathrm{D}_{\max }$
Which of the following statements is/are TRUE in relation to the Maximum Mixing Depth (or Height) ‘$\mathrm{D}_{\max }$’ in the atmosphere?$\mathrm{D}_{\max }$ is alw...
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247
GATE Civil 2023 Set 1 | Question: 41
Which of the following options match the test reporting conventions with the given material tests in the table? ... $\text{(P) - (VI); (Q) - (III); (R) - (IV); (S) - (VII)}$
Which of the following options match the test reporting conventions with the given material tests in the table?$$\begin{array}{|l|l|}\hline \textbf{Test reporting convent...
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GATE Civil 2023 Set 1 | Question: 42
The differential equation, $\frac{\mathrm{d} u}{\mathrm{~d} t}+2 t u^2=1,$ is solved by employing a backward difference scheme within the finite difference framework. The value of $u$ at the $(n-1)^{\text {th }}$ time-step, for some $n$, ... $0.01 \mathrm{~s}$ long. Then, the value of $\left(u_n-u_{n-1}\right)$ is__________ (round off to three decimal places).
The differential equation,$$\frac{\mathrm{d} u}{\mathrm{~d} t}+2 t u^2=1,$$is solved by employing a backward difference scheme within the finite difference framework. The...
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GATE Civil 2023 Set 1 | Question: 43
The infinitesimal element shown in the figure (not to scale) represents the state of stress at a point in a body. What is the magnitude of the maximum principal stress (in $\mathrm{N} / \mathrm{mm}^{2}$, in integer) at the point? _____________
The infinitesimal element shown in the figure (not to scale) represents the state of stress at a point in a body. What is the magnitude of the maximum principal stress (i...
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250
GATE Civil 2023 Set 1 | Question: 44
An idealised bridge truss is shown in the figure. The force in Member $U_2 L_3$ is $\mathrm{kN}$__________ (round off to one decimal place).
An idealised bridge truss is shown in the figure. The force in Member $U_2 L_3$ is $\mathrm{kN}$__________ (round off to one decimal place).
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GATE Civil 2023 Set 1 | Question: 45
The cross-section of a girder is shown in the figure (not to scale). The section is symmetric about a vertical axis $(Y-Y).$ The moment of inertia of the section about the horizontal axis $(X-X)$ passing through the centroid is _________ (round off to nearest integer).
The cross-section of a girder is shown in the figure (not to scale). The section is symmetric about a vertical axis $(Y-Y).$ The moment of inertia of the section about th...
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GATE Civil 2023 Set 1 | Question: 46
A soil having the average properties, bulk unit weight $=19 \mathrm{~kN} / \mathrm{m}^3$; angle of internal friction $=25^{\circ}$ and cohesion $=15 \mathrm{~kPa}$ ... to one decimal place). [Assume the soil is being formed parallel to the rock bedding plane and there is no ground water effect.]
A soil having the average properties, bulk unit weight $=19 \mathrm{~kN} / \mathrm{m}^3$; angle of internal friction $=25^{\circ}$ and cohesion $=15 \mathrm{~kPa}$, is be...
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253
GATE Civil 2023 Set 1 | Question: 47
A smooth vertical retaining wall supporting layered soils is shown in figure. According to Rankine's earth pressure theory, the lateral active earth pressure acting at the base of the wall is ______________ $\mathrm{kPa}$ (round off to one decimal place).
A smooth vertical retaining wall supporting layered soils is shown in figure. According to Rankine's earth pressure theory, the lateral active earth pressure acting at th...
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May 21, 2023
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GATE Civil 2023 Set 1 | Question: 48
A vertical trench is excavated in a clayey soil deposit having a surcharge load of $30 \mathrm{~kPa}$. A fluid of unit weight $12 \mathrm{~kN} / \mathrm{m}^3$ is poured in the trench to prevent collapse as the excavation proceeds. ... $\mathrm{m}$, rounded off to two decimal places)?________________
A vertical trench is excavated in a clayey soil deposit having a surcharge load of $30 \mathrm{~kPa}$. A fluid of unit weight $12 \mathrm{~kN} / \mathrm{m}^3$ is poured i...
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GATE Civil 2023 Set 1 | Question: 49
A $12$-hour storm occurs over a catchment and results in a direct runoff depth of $100 \mathrm{~mm}.$ The time-distribution of the rainfall intensity is shown in the figure (not to scale). The $\phi \text {-index}$ of the storm is (in $\mathrm{mm}$, rounded off to two decimal places) ___________________.
A $12$-hour storm occurs over a catchment and results in a direct runoff depth of $100 \mathrm{~mm}.$ The time-distribution of the rainfall intensity is shown in the figu...
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GATE Civil 2023 Set 1 | Question: 50
A hydraulic jump occurs in a $1.0 \mathrm{~m}$ wide horizontal, frictionless, rectangular channel, with a pre-jump depth of $0.2 \mathrm{~m}$ and a post-jump depth of $1.0 \mathrm{~m}$. The value of $g$ ... at the pre-jump and post-jump sections are same and are equal to (in $\mathrm{m}^3$, rounded off to two decimal places)_______________.
A hydraulic jump occurs in a $1.0 \mathrm{~m}$ wide horizontal, frictionless, rectangular channel, with a pre-jump depth of $0.2 \mathrm{~m}$ and a post-jump depth of $1....
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GATE Civil 2023 Set 1 | Question: 51
In Horton's equation fitted to the infiltration data for a soil, the initial infiltration capacity is $10 \mathrm{~mm} / \mathrm{h}$; final infiltration capacity is $5 \mathrm{~mm} / \mathrm{h}$ ... $\mathrm{mm}$ ) from a uniform storm of duration $12 \mathrm{~h}$ is___________. (round off to one decimal place)
In Horton's equation fitted to the infiltration data for a soil, the initial infiltration capacity is $10 \mathrm{~mm} / \mathrm{h}$; final infiltration capacity is $5 \m...
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May 21, 2023
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GATE Civil 2023 Set 1 | Question: 52
The composition and energy content of a representative solid waste sample are given in the table. If the moisture content of the waste is $26 \%$, the energy content of the solid waste on dry-weight basis is ___________$\mathrm{MJ} / \mathrm{kg}$ (round off to ...
The composition and energy content of a representative solid waste sample are given in the table. If the moisture content of the waste is $26 \%$, the energy content of t...
admin
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May 21, 2023
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GATE Civil 2023 Set 1 | Question: 53
A flocculator tank has a volume of $2800 \mathrm{~m}^{3 .}$ The temperature of water in the tank is $15^{\circ} \mathrm{C}$, and the average velocity gradient maintained in the tank is $100 / \mathrm{s}$ ... $1.518 \times 10^{-3} \mathrm{~N}-\mathrm{s} / \mathrm{m}^2$, respectively]
A flocculator tank has a volume of $2800 \mathrm{~m}^{3 .}$ The temperature of water in the tank is $15^{\circ} \mathrm{C}$, and the average velocity gradient maintained ...
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GATE Civil 2023 Set 1 | Question: 54
The wastewater inflow to an activated sludge plant is $0.5 \mathrm{~m}^3 / \mathrm{s}$, and the plant is to be operated with a food to microorganism ratio of $0.2 \mathrm{~mg} / \mathrm{mg}-\mathrm{d}$. The concentration of ... organic matter in the tank, the volume of aeration tank (in $\mathrm{m}^3$, in integer) required for the plant is____________.
The wastewater inflow to an activated sludge plant is $0.5 \mathrm{~m}^3 / \mathrm{s}$, and the plant is to be operated with a food to microorganism ratio of $0.2 \mathrm...
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GATE Civil 2023 Set 1 | Question: 55
Trigonometric levelling was carried out from two stations $\mathrm{P}$ and $\mathrm{Q}$ to find the reduced level ($\text{R. L.}$) of the top of hillock, as shown in the table. The distance between Stations $\mathrm{P}$ and $\mathrm{Q}$ is $55 \mathrm{~m}$. ...
Trigonometric levelling was carried out from two stations $\mathrm{P}$ and $\mathrm{Q}$ to find the reduced level ($\text{R. L.}$) of the top of hillock, as shown in the ...
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262
phase relationships of soil
a natural soil deposits has bulk density of 1.90g/cm^3 and water content of 6 percent . assume G=2.67 . asuming the voids ratio to remain constant , what will be degree of saturation at water content of 16%?
a natural soil deposits has bulk density of 1.90g/cm^3 and water content of 6 percent . assume G=2.67 . asuming the voids ratio to remain constant , what will be degree o...
sarthika
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sarthika
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May 7, 2022
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GATE Civil 2022 Set 2 | GA Question: 1
The movie was funny and I __________. could help laughing couldn’t help laughed couldn’t help laughing could helped laughed
The movie was funny and I __________.could help laughingcouldn’t help laughedcouldn’t help laughingcould helped laughed
Arjun
13.0k
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Arjun
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Feb 15, 2022
Verbal Aptitude
gatecivil-2022-set2
verbal-aptitude
most-appropriate-word
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GATE Civil 2022 Set 2 | GA Question: 2
$x:y:z = \frac{1}{2} : \frac{1}{3} : \frac{1}{4}.$ What is the value of $\frac{x+z-y}{y} ?$ $0.75$ $1.25$ $2.25$ $3.25$
$x:y:z = \frac{1}{2} : \frac{1}{3} : \frac{1}{4}.$What is the value of $\frac{x+z-y}{y} ?$$0.75$$1.25$$2.25$$3.25$
Arjun
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Arjun
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Feb 15, 2022
Quantitative Aptitude
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ratio-proportion
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265
GATE Civil 2022 Set 2 | GA Question: 3
Both the numerator and the denominator of $\dfrac{3}{4}$ are increased by a positive integer, $x,$ and those of $\dfrac{15}{17}$ are decreased by the same integer. This operation results in the same value for both the fractions. What is the value of $x ?$ $1$ $2$ $3$ $4$
Both the numerator and the denominator of $\dfrac{3}{4}$ are increased by a positive integer, $x,$ and those of $\dfrac{15}{17}$ are decreased by the same integer. This o...
Arjun
13.0k
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Arjun
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Feb 15, 2022
Quantitative Aptitude
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GATE Civil 2022 Set 2 | GA Question: 4
A survey of $450$ students about their subjects of interest resulted in the following outcome. $150$ students are interested in Mathematics. $200$ students are interested in Physics. $175$ students are interested in Chemistry. $50$ students are ... Based on the above information, the number of students interested in Humanities is $10$ $30$ $40$ $45$
A survey of $450$ students about their subjects of interest resulted in the following outcome.$150$ students are interested in Mathematics.$200$ students are interested i...
Arjun
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Feb 15, 2022
Quantitative Aptitude
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GATE Civil 2022 Set 2 | GA Question: 5
For the picture shown above, which one of the following is the correct picture representing reflection with respect to the mirror shown as the dotted line?
For the picture shown above, which one of the following is the correct picture representing reflection with respect to the mirror shown as the dotted line?
Arjun
13.0k
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Arjun
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Feb 15, 2022
Spatial Aptitude
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GATE Civil 2022 Set 2 | GA Question: 6
In the last few years, several new shopping malls were opened in the city. The total number of visitors in the malls is impressive. However, the total revenue generated through sales in the shops in these malls is generally low. ... spending enough More people are visiting the malls and spending more Fewer people are visiting the malls and not spending enough
In the last few years, several new shopping malls were opened in the city. The total number of visitors in the malls is impressive. However, the total revenue generated t...
Arjun
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Feb 15, 2022
Verbal Aptitude
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passage-reading
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GATE Civil 2022 Set 2 | GA Question: 7
In a partnership business, the monthly investment by three friends for the first six months is in the ratio $3:4:5.$ After six months, they had to increase their monthly investments by $10 \%, 15 \%, \; \text{and} \; 20 \%,$ respectively, of ... is proportional to their individual total investment over the year? $22:23:24$ $22:33:50$ $33:46:60$ $63:86:110$
In a partnership business, the monthly investment by three friends for the first six months is in the ratio $3:4:5.$ After six months, they had to increase their monthly ...
Arjun
13.0k
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Arjun
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Feb 15, 2022
Quantitative Aptitude
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GATE Civil 2022 Set 2 | GA Question: 8
Consider the following equations of straight lines: $\text{Line L1}: 2x - 3y = 5$ $\text{Line L2}: 3x + 2y = 8$ $\text{Line L3}: 4x - 6y = 5$ $\text{Line L4}: 6x - 9y = 6$ Which one among the following is the correct statement? $\text{L1}$ ... $\text{L2}$ $\text{L4}$ is perpendicular to $\text{L2}$ and $\text{L4}$ is parallel to $\text{L3}$
Consider the following equations of straight lines:$\text{Line L1}: 2x – 3y = 5$$\text{Line L2}: 3x + 2y = 8$$\text{Line L3}: 4x – 6y = 5$$\text{Line L4}: 6x – 9y =...
Arjun
13.0k
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Feb 15, 2022
Quantitative Aptitude
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GATE Civil 2022 Set 2 | GA Question: 9
Given below are two statements and four conclusions drawn based on the statements. Statement $1:$ Some soaps are clean. Statement $2:$ All clean objects are wet. Conclusion $\text{I}$: Some clean objects are soaps. Conclusion $\text{II}$: No clean ... $\text{IV}$ is correct Only conclusion $\text{I}$ and conclusion $\text{III}$ are correct
Given below are two statements and four conclusions drawn based on the statements.Statement $1:$ Some soaps are clean.Statement $2:$ All clean objects are wet.Conclusion ...
Arjun
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Analytical Aptitude
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GATE Civil 2022 Set 2 | GA Question: 10
An ant walks in a straight line on a plane leaving behind a trace of its movement. The initial position of the ant is at point $\text{P}$ facing east. The ant first turns $72^{\circ} $ anticlockwise at $\text{P},$ and then does the following two steps ... $144^{\circ}$ clockwise. The pattern made by the trace left behind by the ant is A. B. C. D.
An ant walks in a straight line on a plane leaving behind a trace of its movement. The initial position of the ant is at point $\text{P}$ facing east.The ant first turns ...
Arjun
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Arjun
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Feb 15, 2022
Analytical Aptitude
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GATE Civil 2022 Set 2 | Question: 1
The function $f(x,y)$ satisfies the Laplace equation $\bigtriangledown^{2}f(x,y) = 0$ on a circular domain of radius $r=1$ with its center at point $P$ with coordinates $x=0, y=0.$ The value of this function on the circular boundary of this domain is equal to $3.$ The numerical value of $f(0,0)$ is: $0$ $2$ $3$ $1$
The function $f(x,y)$ satisfies the Laplace equation $$\bigtriangledown^{2}f(x,y) = 0$$on a circular domain of radius $r=1$ with its center at point $P$ with coordinates$...
Arjun
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GATE Civil 2022 Set 2 | Question: 2
$\displaystyle{}\int \left( x-\frac{x^{2}}{2} + \frac{x^{3}}{3} – \frac{x^{4}}{4} + \dots \right) dx$ is equal to $\frac{1}{1+x} + $ Constant $\frac{1}{1+x^{2}} + $ Constant $-\frac{1}{1-x} + $ Constant $-\frac{1}{1-x^{2}} + $ Constant
$\displaystyle{}\int \left( x-\frac{x^{2}}{2} + \frac{x^{3}}{3} – \frac{x^{4}}{4} + \dots \right) dx$ is equal to$\frac{1}{1+x} + $ Constant$\frac{1}{1+x^{2}} + $ Cons...
Arjun
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GATE Civil 2022 Set 2 | Question: 3
For a linear elastic and isotropic material, the correct relationship among Young’s modulus of elasticity $(E)$, Poisson’s ratio $(\nu),$ and shear modulus $(G)$ is $G= \frac{E}{2(1+\nu)}$ $G= \frac{E}{(1+2\nu)}$ $E= \frac{G}{2(1+\nu)}$ $E= \frac{G}{(1+2\nu)}$
For a linear elastic and isotropic material, the correct relationship among Young’s modulus of elasticity $(E)$, Poisson’s ratio $(\nu),$ and shear modulus $(G)$ is$G...
Arjun
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Arjun
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GATE Civil 2022 Set 2 | Question: 4
Read the following statements relating to flexure of reinforced concrete beams: In over-reinforced sections, the failure strain in concrete reaches earlier than the yield strain in steel. In under-reinforced sections, steel reaches yielding at a load lower than the load at which ... $\text{I(False), II(True), III(True), IV(False)}$
Read the following statements relating to flexure of reinforced concrete beams:In over-reinforced sections, the failure strain in concrete reaches earlier than the yield ...
Arjun
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GATE Civil 2022 Set 2 | Question: 5
Match all the possible combinations between Column X (Cement compounds) and Column Y (Cement properties): ... $\text{(i) - (T), (ii) - (S), (iii) - (P) and (Q)}$
Match all the possible combinations between Column X (Cement compounds) and Column Y (Cement properties):$$\begin{array} {|l|l|} \hline \textbf{Column X} & \qquad \textbf...
Arjun
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GATE Civil 2022 Set 2 | Question: 6
Consider a beam $\text{PQ}$ fixed at $\text{P},$ hinged at $\text{Q},$ and subjected to a load $F$ as shown in figure (not drawn to scale). The static and kinematic degrees of indeterminacy, respectively, are $2$ and $1$ $2$ and $0$ $1$ and $2$ $2$ and $2$
Consider a beam $\text{PQ}$ fixed at $\text{P},$ hinged at $\text{Q},$ and subjected to a load $F$ as shown in figure (not drawn to scale). The static and kinematic degre...
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GATE Civil 2022 Set 2 | Question: 7
Read the following statements: While designing a shallow footing in sandy soil, monsoon season is considered for critical design in terms of bearing capacity. For slope stability of an earthen dam, sudden drawdown is never a critical condition. In a sandy sea beach, quicksand condition ... $\text{(P)-False, (Q)-True, (R)-False, (S)-False}$
Read the following statements:While designing a shallow footing in sandy soil, monsoon season is considered for critical design in terms of bearing capacity.For slope sta...
Arjun
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Arjun
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Feb 15, 2022
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GATE Civil 2022 Set 2 | Question: 8
Stresses acting on an infinitesimal soil element are shown in the figure (with $\sigma_{z} > \sigma_{x}$). The major and minor principal stresses are $\sigma_{1}$ and $\sigma_{3},$ respectively. Considering the compressive stresses as positive, which one of the following ... $\tan^{-1} \left( \frac{\tau_{zx}} {\sigma_{1} + \sigma_{3}} \right)$
Stresses acting on an infinitesimal soil element are shown in the figure (with $\sigma_{z} \sigma_{x}$). The major and minor principal stresses are $\sigma_{1}$ and $\si...
Arjun
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Arjun
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Feb 15, 2022
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