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Recent questions tagged numerical-answers

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GATE Civil 2024 Set 1 | Question: 43
The total primary consolidation settlement $\left(S_{c}\right)$ of a building constructed on a $10 \mathrm{~m}$ thick saturated clay layer is estimated to be $50 \mathrm{...
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GATE Civil 2024 Set 1 | Question: 44
An infinite slope is made up of cohesionless soil with seepage parallel to and up to the sloping surface. The angle of slope is $30^{\circ}$ with respect to horizontal gr...
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GATE Civil 2024 Set 1 | Question: 45
A soil sample was consolidated at a cell pressure of $20 \mathrm{kPa}$ and a back pressure of $10 \mathrm{kPa}$ for $24$ hours during a consolidated undrained $\text{(CU)...
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GATE Civil 2024 Set 1 | Question: 51
A water treatment plant treats $25 \mathrm{MLD}$ water with a natural alkalinity of $4.0 \mathrm{mg} / \mathrm{L}$ (as $\mathrm{CaCO}_{3}$ ). It is estimated that, during...
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GATE Civil 2024 Set 1 | Question: 52
The number of trains and their corresponding speeds for a curved Broad Gauge section with $437 \mathrm{~m}$ radius, are$20$ trains travel at a speed of $40 \mathrm{~km} /...
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GATE Civil 2024 Set 1 | Question: 53
The figure presents the trajectories of six vehicles within a time-space domain. The number in the parentheses represents unique identification of each vehicle.The mean s...
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GATE Civil 2024 Set 1 | Question: 54
The following data is obtained from an axle load survey at a site:Average rear axle load $=12000 \mathrm{~kg}$Number of commercial vehicles $=800$ per dayThe pavement at ...
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GATE Civil 2024 Set 1 | Question: 55
A bird is resting on a point $\mathrm{P}$ at a height of $8 \mathrm{~m}$ above the Mean Sea Level (MSL). Upon hearing a loud noise, the bird flies parallel to the ground ...
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GATE Civil 2023 Set 2 | Question: 3
A remote village has exactly $1000$ vehicles with sequential registration numbers starting from $ 1000.$ Out of the total vehicles, $ 30 \% $ are without pollution clear...
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GATE Civil 2023 Set 2 | Question: 4
A circular solid shaft of span $L=5 \mathrm{~m}$ is fixed at one end and free at the other end. A torque $T=100 \mathrm{~kN}$.m is applied at the free end. The shear modu...
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GATE Civil 2023 Set 2 | Question: 8
A standard penetration test (SPT) was carried out at a location by using a manually operated hammer dropping system with $50 \%$ efficiency. The recorded SPT value at a p...
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GATE Civil 2023 Set 2 | Question: 21
The steady-state temperature distribution in a square plate $\mathrm{ABCD}$ is governed by the $2$-dimensional Laplace equation. The side $\mathrm{AB}$ is kept at a tempe...
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GATE Civil 2023 Set 2 | Question: 22
An unconfined compression strength test was conducted on a cohesive soil. The test specimen failed at an axial stress of $76 ~ \mathrm{kPa}$. The undrained cohesion (in $...
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GATE Civil 2023 Set 2 | Question: 23
The pressure in a pipe at $\mathrm{X}$ is to be measured by an open manometer as shown in figure. Fluid $\mathrm{A}$ is oil with a specific gravity of 0.8 and Fluid $\mat...
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GATE Civil 2023 Set 2 | Question: 24
For the elevation and temperature data given in the table, the existing lapse rate in the environment is _______________ $\text{C}^{\circ} / 100 \mathrm{~m}$ (round off t...
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GATE Civil 2023 Set 2 | Question: 25
If the size of the ground area is $6 \mathrm{~km} \times 3 \mathrm{~km}$ and the corresponding photo size in the aerial photograph is $30 \mathrm{~cm} \times 15 \mathrm{~...
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GATE Civil 2023 Set 2 | Question: 27
Two vectors $\left[\begin{array}{llll}2 & 1 & 0 & 3\end{array}\right]^{T} $ and $\left[\begin{array}{cccc}1 & 0 & 1 & 2\end{array}\right]^{T}$ belong to the null space of...
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GATE Civil 2023 Set 2 | Question: 28
Cholesky decomposition is carried out on the following square matrix $[A]$.$$[A]=\left[\begin{array}{cc}8 & -5 \\-5 & a_{22}\end{array}\right]$$Let $l_{\mathrm{ij}}$ and ...
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GATE Civil 2023 Set 2 | Question: 29
In a two-dimensional stress analysis, the state of stress at a point is shown in the figure. The values of length of $\text{PQ, QR,}$ and $\text{RP}$ are $4, 3,$ and $5$ ...
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GATE Civil 2023 Set 2 | Question: 30
Two plates are connected by fillet welds of size $10 \mathrm{~mm}$ and subjected to tension, as shown in the figure. The thickness of each plate is $12 \mathrm{~mm}$. The...
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GATE Civil 2023 Set 2 | Question: 33
A compound symmetrical open channel section as shown in the figure has a maximum of ______________ critical depth(s).$3$$2$$1$$4$
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GATE Civil 2023 Set 2 | Question: 34
The critical flow condition in a channel is given by ____________.[Note: $\alpha$ - kinetic energy correction factor; $Q$ - discharge; $A_c$ - cross-sectional area of flo...
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GATE Civil 2023 Set 2 | Question: 36
A delivery agent is at a location $\mathrm{R}$. To deliver the order, she is instructed to travel to location P along straight-line paths of $\mathrm{RC}, \mathrm{CA}, \m...
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GATE Civil 2023 Set 2 | Question: 42
A $5 \mathrm{~cm}$ long metal rod $\mathrm{AB}$ was initially at a uniform temperature of $T_0{ }^{\circ} \mathrm{C}$. Thereafter, temperature at both the ends are mainta...
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GATE Civil 2023 Set 2 | Question: 43
A beam is subjected to a system of coplanar forces as shown in the figure. The magnitude of vertical reaction at Support $\text{P}$ is ______________________ $\text{N}$ (...
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GATE Civil 2023 Set 2 | Question: 44
For the frame shown in the figure (not to scale), all members $\mathrm{(AB, BC, CD, GB,}$ and $\mathrm{CH}$) have the same length, $L$ and flexural rigidity, $E I$. The j...
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GATE Civil 2023 Set 2 | Question: 45
Consider the singly reinforced section of a cantilever concrete beam under bending, as shown in the figure $(M25$ grade concrete, $Fe415$ grade steel). The stress block p...
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GATE Civil 2023 Set 2 | Question: 46
A $2\text{D}$ thin plate with modulus of elasticity, $E=1.0 \mathrm{~N} / \mathrm{m}^{2}$, and Poisson's ratio, $\mu=0.5$, is in plane stress condition. The displacement ...
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GATE Civil 2023 Set 2 | Question: 47
An idealised frame supports a load as shown in the figure. The horizontal component of the force transferred from the horizontal member $\mathrm{PQ}$ to the vertical memb...
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GATE Civil 2023 Set 2 | Question: 48
A square footing is to be designed to carry a column load of $500~ \mathrm{kN}$ which is resting on a soil stratum having the following average properties: bulk unit weig...
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GATE Civil 2023 Set 2 | Question: 49
A circular pile of diameter $0.6 \mathrm{~m}$ and length $8 \mathrm{~m}$ was constructed in a cohesive soil stratum having the following properties: bulk unit weight $=19...
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GATE Civil 2023 Set 2 | Question: 50
For the flow setup shown in the figure (not to scale), the hydraulic conductivities of the two soil samples, Soil $1$ and Soil $2,$ are $10 \mathrm{~mm} / \mathrm{s}$ and...
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GATE Civil 2023 Set 2 | Question: 51
A consolidated drained $\text{(CD)}$ triaxial test was carried out on a sand sample with the known effective shear strength parameters, $c^{\prime}=0$ and $\phi^{\prime}=...
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GATE Civil 2023 Set 2 | Question: 52
A catchment may be idealized as a circle of radius $30 \mathrm{~km}$. There are five rain gauges, one at the center of the catchment and four on the boundary (equi-spaced...
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GATE Civil 2023 Set 2 | Question: 53
The cross-section of a small river is sub-divided into seven segments of width $1.5 \mathrm{~m}$ each. The average depth, and velocity at different depths were measured d...
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GATE Civil 2023 Set 2 | Question: 54
The theoretical aerobic oxidation of biomass $\left(\mathrm{C}_5 \mathrm{H}_7 \mathrm{O}_2 \mathrm{~N}\right)$ is given below:$\mathrm{C}_5 \mathrm{H}_7 \mathrm{O}_2 \mat...
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GATE Civil 2023 Set 2 | Question: 55
A system of seven river segments is shown in the schematic diagram. The $\mathrm{R}_{\mathrm{i}}$ 's, $\mathrm{Q}_{\mathrm{i}}$ 's, and $\mathrm{C}_{\mathrm{i}}$ 's $(\ma...
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GATE Civil 2023 Set 1 | Question: 1
For the integral$$I=\int_{-1}^{1} \frac{1}{x^{2}} d x$$which of the following statements is $\text{TRUE?}$ $I=0$ $I=2$$I=-2$ The integral does not converge
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GATE Civil 2023 Set 1 | Question: 2
A hanger is made of two bars of different sizes. Each bar has a square cross-section. The hanger is loaded by three-point loads in the mid vertical plane as shown in the ...
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GATE Civil 2023 Set 1 | Question: 4
A singly reinforced concrete beam of balanced section is made of $\text{M20}$ grade concrete and $\text{Fe 415}$ grade steel bars. The magnitudes of the maximum compressi...
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