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281
GATE Civil 2022 Set 2 | Question: 41
The linearly elastic planar structure shown in the figure is acted upon by two vertical concentrated forces. The horizontal beams $UV$ and $WX$ are connected with the help of the vertical linear spring constant $k= 20 \; \text{kN/m}.$ The fixed ... $Q$ (in $\text{kN}$) is __________.(round off to the nearest integer)
The linearly elastic planar structure shown in the figure is acted upon by two vertical concentrated forces. The horizontal beams $UV$ and $WX$ are connected with the hel...
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GATE Civil 2022 Set 2 | Question: 42
A uniform rod $KJ$ of weight $w$ shown in the figure rests against a frictionless vertical wall at the point $K$ and a rough horizontal surface at point $J.$ It is given that $w = 10 \; \text{kN}, a = 4 \; \text{m}$ ... of static friction that is required at the point $J$ to hold the rod in equilibrium is _________. (round off to three decimal places)
A uniform rod $KJ$ of weight $w$ shown in the figure rests against a frictionless vertical wall at the point $K$ and a rough horizontal surface at point $J.$ It is given ...
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GATE Civil 2022 Set 2 | Question: 43
The activities of a project are given in the following table along with their durations and dependency. ... $\text{E}$ (in $\textbf{days}$) is ___________. (in integer)
The activities of a project are given in the following table along with their durations and dependency.$$ \begin{array} {|c|c|c|} \hline \textbf{Activities}& \textbf{Dura...
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GATE Civil 2022 Set 2 | Question: 44
A group of total $16$ piles are arranged in a square grid format. The center-to-center spacing $(s)$ between adjacent piles is $3 \; \text{m}.$ The diameter $(d)$ and length of embedment of each pile are $1 \; \text{m}$ and ... value of the pile group capacity (in $\text{kN}$) in the vertical downward direction is _______. (round off to the nearest integer)
A group of total $16$ piles are arranged in a square grid format. The center-to-center spacing $(s)$ between adjacent piles is $3 \; \text{m}.$ The diameter $(d)$ and len...
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GATE Civil 2022 Set 2 | Question: 45
A saturated compressible clay layer of thickness $h$ is sandwiched between two sand layers, as shown in the figure. Initially, the total vertical stress and pore water pressure at point $\text{P},$ which is located at the mid-depth of the clay layer, ... $\text{P}$ is ___________. (in integer)
A saturated compressible clay layer of thickness $h$ is sandwiched between two sand layers, as shown in the figure. Initially, the total vertical stress and pore water pr...
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GATE Civil 2022 Set 2 | Question: 46
A hydraulic jump takes place in a $6 \; \text{m}$ wide rectangular channel at a point where the upstream depth is $0.5 \; \text{m}$ (just before the jump). If the discharge in the channel is $30 \; \text{m}^{3}\text{/s}$ and the ... the jump is ______________. (round off to two decimal places) (Consider the acceleration due to gravity as $10 \; \text{m/s}^{2}$.)
A hydraulic jump takes place in a $6 \; \text{m}$ wide rectangular channel at a point where the upstream depth is $0.5 \; \text{m}$ (just before the jump). If the dischar...
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GATE Civil 2022 Set 2 | Question: 47
A pump with an efficiency of $80\%$ is used to draw groundwater from a well for irrigating a flat field of area $108$ hectares. The base period and delta for paddy crop on this field are $120 \; \text{days}$ and $144\; \text{cm},$ respectively. Water application efficiency ... $= 9810 \; \text{N/m}^{3}$)
A pump with an efficiency of $80\%$ is used to draw groundwater from a well for irrigating a flat field of area $108$ hectares. The base period and delta for paddy crop o...
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GATE Civil 2022 Set 2 | Question: 48
Two discrete spherical particles ($\text{P}$ and $\text{Q}$) of equal mass density are independently released in water. Particle $\text{P}$ and particle $\text{Q}$ have diameters of $0.5 \; \text{mm}$ and $1.0 \; \text{mm},$ ... force on partial $\text{Q}$ will be _____________ times the drag force on particle $\text{P}.$ (round off to the nearest integer)
Two discrete spherical particles ($\text{P}$ and $\text{Q}$) of equal mass density are independently released in water. Particle $\text{P}$ and particle $\text{Q}$ have d...
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GATE Civil 2022 Set 2 | Question: 49
At a municipal waste handling facility, $30$ metric ton mixture of food waste, yard waste, and paper waste was available. The moisture content of this mixture was found to be $10\%.$ The ideal moisture content for composting this ... water to be added to this mixture to bring its moisture content to the ideal condition is ___________metric ton. (in integer)
At a municipal waste handling facility, $30$ metric ton mixture of food waste, yard waste, and paper waste was available. The moisture content of this mixture was found t...
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GATE Civil 2022 Set 2 | Question: 50
A sewage treatment plant receives sewage at a flow rate of $5000 \; \text{m}^{3}\text{/day}.$ The total suspended solids $\text{(TSS)}$ concentration in the sewage at the inlet of primary clarifier is $200 \; \text{mg/L}$. After the ... daily volume of the thickened sludge (in $\text{m}^{3}\text{/day}$) will be ___________.(round off to the nearest integer)
A sewage treatment plant receives sewage at a flow rate of $5000 \; \text{m}^{3}\text{/day}.$ The total suspended solids $\text{(TSS)}$ concentration in the sewage at the...
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GATE Civil 2022 Set 2 | Question: 51
A sample of air analyzed at $25 \; ^{\circ}\text{C}$ and $1 \; \text{atm}$ pressure is reported to contain $0.04 \; \text{ppm}$ of $\text{SO}_{2}.$ Atomic mass of $\text{S = 32, O = 16}.$ The equivalent $\text{SO}_{2}$ concentration (in $\mu \text{g/m}^{3}$) will be _________. (round off to the nearest integer)
A sample of air analyzed at $25 \; ^{\circ}\text{C}$ and $1 \; \text{atm}$ pressure is reported to contain $0.04 \; \text{ppm}$ of $\text{SO}_{2}.$ Atomic mass of $\text{...
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GATE Civil 2022 Set 2 | Question: 52
A parabolic vertical crest curve connects two road segments with grades $+1.0 \%$ and $-2.0 \%.$ If a $200 \; \text{m}$ stopping sight distance is needed for a driver at a height of $1.2 \; \text{m}$ to avoid an obstacle of height $0.15 \; \text{m},$ then the minimum curve length should be _________ $\text{m}$. (round off to the nearest integer)
A parabolic vertical crest curve connects two road segments with grades $+1.0 \%$ and $-2.0 \%.$ If a $200 \; \text{m}$ stopping sight distance is needed for a driver at ...
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GATE Civil 2022 Set 2 | Question: 53
Assuming that traffic on a highway obeys the Greenshields model, the speed of a shockwave between two traffic streams $\text{(P)}$ and $\text{(Q)}$ as shown in the schematic is _________ $\text{kmph}$ ...
Assuming that traffic on a highway obeys the Greenshields model, the speed of a shockwave between two traffic streams $\text{(P)}$ and $\text{(Q)}$ as shown in the schema...
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GATE Civil 2022 Set 2 | Question: 54
It is given that an aggregate mix has $260 \; \text{grams}$ of coarse aggregates and $240 \; \text{grams}$ of fine aggregates. The specific gravities of the coarse and fine aggregate are $2.6$ and $2.4,$ respectively. The bulk specific gravity of the mix is $2.3.$ The percentage air voids in the mix is _______________. (round off to the nearest integer)
It is given that an aggregate mix has $260 \; \text{grams}$ of coarse aggregates and $240 \; \text{grams}$ of fine aggregates. The specific gravities of the coarse and fi...
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GATE Civil 2022 Set 2 | Question: 55
The lane configuration with lane volumes in vehicles per hour of a four-arm signalized intersection is shown in the figure. There are only two phases: the first phase is for East-West and the West-East through movements, and the second phase is for ... length (in $\text{seconds}$), as per the Webster's method, is ____________.(rounds off to the nearest integer)
The lane configuration with lane volumes in vehicles per hour of a four-arm signalized intersection is shown in the figure. There are only two phases: the first phase is ...
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GATE Civil 2022 Set 1 | Question: 1
Consider the following expression: $z = \sin \left ( y + it \right ) + \cos \left ( y - it \right )$ where $\text{z, y}$ and $t$ are variables, and $i = \sqrt{-1}$ is a complex number. The partial differential equation derived from the above expression ... $\frac{\partial z}{\partial t} + i \frac{\partial z}{\partial y} = 0$
Consider the following expression: $$z = \sin \left ( y + it \right ) + \cos \left ( y - it \right )$$ where $\text{z, y}$ and $t$ are variables, and $i = \sqrt{-1}$ is a...
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GATE Civil 2022 Set 1 | Question: 2
For the equation $\frac{d^{3}y}{dx^{3}} + x \left ( \frac{dy}{dx} \right )^{\frac{3}{2}}+ x^{2}y=0$ the correct description is an ordinary differential equation of order $3$ and degree $2$ an ordinary differential equation of ... $2$ and degree $3$ an ordinary differential equation of order $3$ and degree $\frac{3}{2}$
For the equation $$\frac{d^{3}y}{dx^{3}} + x \left ( \frac{dy}{dx} \right )^{\frac{3}{2}}+ x^{2}y=0$$ the correct description isan ordinary differential equation of order...
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GATE Civil 2022 Set 1 | Question: 3
The hoop stress at a point on the surface of a thin cylindrical pressure vessel is computed to be $30.0\text{ MPa}$. The value of maximum shear stress at this point is $7.5 \text{ MPa}$ $15.0 \text{ MPa}$ $30.0 \text{ MPa}$ $22.5\text{ MPa}$
The hoop stress at a point on the surface of a thin cylindrical pressure vessel is computed to be $30.0\text{ MPa}$. The value of maximum shear stress at this point is$7...
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GATE Civil 2022 Set 1 | Question: 4
In the context of elastic theory of reinforced concrete, the modular ratio is defined as the ratio of Young's modulus of elasticity of reinforcement material to Young's modulus of elasticity of concrete. Young's modulus of ... shear modulus of concrete. Young's modulus of elasticity of reinforcement material to the shear modulus of concrete.
In the context of elastic theory of reinforced concrete, the modular ratio is defined as the ratio ofYoung's modulus of elasticity of reinforcement material to Young's mo...
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GATE Civil 2022 Set 1 | Question: 5
Which of the following equations is correct for the Pozzolanic reaction? $\text{Ca(OH)}_{2}$ + Reactive Superplasticiser + $H_{2}O \rightarrow \text{C-S-H}$ $\text{Ca(OH)}_{2}$ + Reactive Silicon dioxide + $H_{2}O \rightarrow \text{C-S-H}$ ... $\text{Ca(OH)}_{2}$ + Reactive Sulphur + $H_{2}O \rightarrow \text{C-S-H}$
Which of the following equations is correct for the Pozzolanic reaction?$\text{Ca(OH)}_{2}$ + Reactive Superplasticiser + $H_{2}O \rightarrow \text{C-S-H}$$\text{Ca(OH)}_...
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GATE Civil 2022 Set 1 | Question: 6
Consider the cross-section of a beam made up of thin uniform elements having thickness $t\left (t < < a \right )$ shown in the figure. The $(x, y)$ coordinates of the points along the center-line of the cross-section are given in the figure. The coordinates of the shear center of this ... $x = 0, y = 3a$ $x = 2a, y = 2a$ $x = -a, y = 2a$ $x = -2a, y = a$
Consider the cross-section of a beam made up of thin uniform elements having thickness $t\left (t < < a \right )$ shown in the figure. The $(x, y)$ coordinates of the poi...
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GATE Civil 2022 Set 1 | Question: 7
Four different soils are classified as $\text{CH, ML, SP, and SW}$, as per the Unified Soil Classification System. Which one of the following options correctly represents their arrangement in the decreasing order of hydraulic conductivity? $\text{SW, SP, ML, CH}$ $\text{CH, ML, SP, SW}$ $\text{SP, SW, CH, ML}$ $\text{ML, SP, CH, SW}$
Four different soils are classified as $\text{CH, ML, SP, and SW}$, as per the Unified Soil Classification System. Which one of the following options correctly represents...
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GATE Civil 2022 Set 1 | Question: 8
Let $\sigma _{v}^{'}$ and $\sigma _{h}^{'}$ denote the effective vertical stress and effective horizontal stress, respectively. Which one of the following conditions must be satisfied for a soil element to reach the failure state under Rankine's passive earth pressure ... $\sigma _{v}^{'} + \sigma _{h}^{'} = 0$
Let $\sigma _{v}^{'}$ and $\sigma _{h}^{'}$ denote the effective vertical stress and effective horizontal stress, respectively. Which one of the following conditions must...
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GATE Civil 2022 Set 1 | Question: 9
With respect to fluid flow, match the following in Column $X$ with Column $Y$ ... $\text{(P) - (II), (Q) - (IV), (R) - (III), (S) - (I)}$
With respect to fluid flow, match the following in Column $X$ with Column $Y$:$$\begin{array}{|l|l|} \hline \qquad \textbf{Column X} & \qquad \textbf{Column Y} \\ \hline...
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GATE Civil 2022 Set 1 | Question: 10
Let $\psi$ represent soil suction head and $K$ represent hydraulic conductivity of the soil. If the soil moisture content $\theta$ increases, which one of the following statements is $\text{TRUE}$? $\psi$ decreases and $K$ increases $\psi$ increases and $K$ decreases Both $\psi$ and $K$ decrease Both $\psi$ and $K$ increase
Let $\psi$ represent soil suction head and $K$ represent hydraulic conductivity of the soil. If the soil moisture content $\theta$ increases, which one of the following s...
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GATE Civil 2022 Set 1 | Question: 11
A rectangular channel with Gradually Varied Flow $\text{(GVF)}$ has a changing bed slope. If the change is from a steeper slope to a steep slope, the resulting $\text{GVF}$ profile is $S_{3}$ $S_{1}$ $S_{2}$ either $S_{1}$ or $S_{2}$, depending on the magnitude of the slopes
A rectangular channel with Gradually Varied Flow $\text{(GVF)}$ has a changing bed slope. If the change is from a steeper slope to a steep slope, the re...
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GATE Civil 2022 Set 1 | Question: 12
The total hardness in raw water is $500$ milligram per liter as $CaCO_{3}$. The total hardness of this raw water, expressed in milligram equivalent per liter, is (Consider the atomic weights of $\text{Ca, C, and O}$ as $40$ $\text{g/mol}$, $12$ $\text{g/mol}$, and $16$ $\text{g/mol}$, respectively.) $10$ $100$ $1$ $5$
The total hardness in raw water is $500$ milligram per liter as $CaCO_{3}$. The total hardness of this raw water, expressed in milligram equivalent per liter, is(Consider...
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GATE Civil 2022 Set 1 | Question: 13
An aerial photograph is taken from a flight at a height of $3.5$ $\text{km}$ above mean sea level, using a camera of focal length $152$ $\text{mm}$. If the average ground elevation is $460 \:m$ above mean sea level, then the scale of the photograph is $1 : 20000$ $1 : 20$ $1 : 100000$ $1 : 2800$
An aerial photograph is taken from a flight at a height of $3.5$ $\text{km}$ above mean sea level, using a camera of focal length $152$ $\text{mm}$. If the average ground...
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GATE Civil 2022 Set 1 | Question: 14
A line between stations $P$ and $Q$ laid on a slope of $1$ in $5$ was measured as $350\; m$ using a $50\; m$ tape. The tape is known to be shortly by $0.1\; m$. The corrected horizontal length (in $m$) of the line $\text{PQ}$ will be $342.52$ $349.30$ $356.20$ $350.70$
A line between stations $P$ and $Q$ laid on a slope of $1$ in $5$ was measured as $350\; m$ using a $50\; m$ tape. The tape is known to be shortly by $0.1\; m$.The correc...
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GATE Civil 2022 Set 1 | Question: 15
The matrix $M$ is defined as $M = \begin{bmatrix} 1 & 3\\ 4 & 2 \end{bmatrix}$ and has eigenvalues $5$ and $-2$. The matrix $Q$ is formed as $Q = M^{3} - 4M^{2} - 2M$ which of the following is/are the eigenvalues(s) of matrix $Q$? $15$ $25$ $-20$ $-30$
The matrix $M$ is defined as $$M = \begin{bmatrix} 1 & 3\\ 4 & 2 \end{bmatrix}$$ and has eigenvalues $5$ and $-2$. The matrix $Q$ is formed as $$Q = M^{3} - 4M^{2} - 2M$$...
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GATE Civil 2022 Set 1 | Question: 16
For wastewater coming from a wood pulping industry, Chemical Oxygen Demand $\text{(COD)}$ and $5$-day Biochemical Oxygen Demand $\text{(BOD}_{5})$ were determined. For this wastewater, which of the following statement(s) is/are correct? $\text{COD} > \text{BOD}_{5}$ ... $\text{COD} < \text{BOD}_{5}$ $\text{COD} = \text{BOD}_{5}$
For wastewater coming from a wood pulping industry, Chemical Oxygen Demand $\text{(COD)}$ and $5$-day Biochemical Oxygen Demand $\text{(BOD}_{5})$ were determined. For th...
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GATE Civil 2022 Set 1 | Question: 17
Which of the following process(es) can be used for conversion of salt water into fresh water? Microfiltration Electrodialysis Ultrafiltration Reverse osmosis
Which of the following process(es) can be used for conversion of salt water into fresh water?MicrofiltrationElectrodialysisUltrafiltrationReverse osmosis
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GATE Civil 2022 Set 1 | Question: 18
A horizontal curve is to be designed in a region with limited space. Which of the following measure(s) can be used to decrease the radius of curvature? Decrease the design speed Increase the superelevation Increase the design speed Restrict vehicles with higher weight from using the facility
A horizontal curve is to be designed in a region with limited space. Which of the following measure(s) can be used to decrease the radius of curvature?Decrease the design...
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GATE Civil 2022 Set 1 | Question: 19
Consider the following recursive iteration scheme for different values of variable $P$ with the initial guess $x_{1} =1$: $x_{n + 1} = \frac{1}{2}\left ( x_{n} + \frac{P}{x_{n}} \right ), \:\:\:n = 1, 2, 3, 4, 5$ For ... $P = 10$, the numerical value of $x_{5}$ is ___________________. (round off to three decimal places)
Consider the following recursive iteration scheme for different values of variable $P$ with the initial guess $x_{1} =1$: $$x_{n + 1} = \frac{1}{2}\left ( x_{n} + \frac{P...
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GATE Civil 2022 Set 1 | Question: 20
The Fourier cosine series of a function is given by : $f\left ( x \right ) = \sum_{n = 0}^{\infty} f_{n} \cos nx$ For $f\left ( x \right ) = \cos^{4} x$, the numerical value of $\left ( f_{4} + f_{5} \right )$ is __________. (round off to three decimal places)
The Fourier cosine series of a function is given by : $$f\left ( x \right ) = \sum_{n = 0}^{\infty} f_{n} \cos nx$$ For $f\left ( x \right ) = \cos^{4} x$, the numerical ...
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GATE Civil 2022 Set 1 | Question: 21
An uncompacted heap of soil has a volume of $10000\: m^{3}$ and void ratio of $1$. If the soil is compacted to a volume of $7500\: m^{3}$, then the corresponding void ratio of the compacted soil is _________________. (round off to one decimal place)
An uncompacted heap of soil has a volume of $10000\: m^{3}$ and void ratio of $1$. If the soil is compacted to a volume of $7500\: m^{3}$, then the corresponding void rat...
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GATE Civil 2022 Set 1 | Question: 22
A concentrated vertical load of $3000$ $\text{kN}$ is applied on a horizontal ground surface. Points $P$ and $Q$ are at depths $1 \:m$ and $2\: m$ below the ground, respectively, along the line of application of the load. Considering ... the ratio of the increase in vertical stress at $P$ to the increase in vertical stress at $Q$ is _______________. (in integer)
A concentrated vertical load of $3000$ $\text{kN}$ is applied on a horizontal ground surface. Points $P$ and $Q$ are at depths $1 \:m$ and $2\: m$ below the ground, respe...
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GATE Civil 2022 Set 1 | Question: 23
At a site, Static Cone Penetration Test was carried out. The measured point (tip) resistance $q_{c}$ was $1000$ $\text{kPa}$ at a certain depth. The friction ratio $(f_{r})$ was estimated as $1\%$ at the same depth. The value of sleeve (side) friction (in $\text{kPa}$) at that depth was _________________. (in integer)
At a site, Static Cone Penetration Test was carried out. The measured point (tip) resistance $q_{c}$ was $1000$ $\text{kPa}$ at a certain depth. The friction ratio $(f_{r...
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GATE Civil 2022 Set 1 | Question: 24
During a particular stage of the growth of a crop, the consumptive use of water is $2.8$ $\text{mm}$/day. The amount of water available in the soil is $50\%$ of the maximum depth of available water in the root zone. ... the irrigation efficiency as $70\%$. The interval between irrigation (in days) will be _______________. (round off to the nearest integer)
During a particular stage of the growth of a crop, the consumptive use of water is $2.8$ $\text{mm}$/day. The amount of water available in the soil is $50\%$ of the maxim...
Arjun
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GATE Civil 2022 Set 1 | Question: 25
The bearing of a survey line is $N31 ^{\circ} 17’W$. Its azimuth observed from north is _________________ deg. (round off to two decimal places)
The bearing of a survey line is $N31 ^{\circ} 17’W$. Its azimuth observed from north is _________________ deg. (round off to two decimal places)
Arjun
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