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GATE Civil 2021 Set 2  Question: 18
The value ($\textit{round off to one decimal place}$) of $\int_{1}^{1}x\:e^{\left  x \right }dx$ is ______________
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Mar 1
in
Calculus
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calculus
definiteintegral
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2
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 __________________________
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Mar 1
in
Solid Mechanics
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torsion
shearstress
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3
GATE Civil 2021 Set 2  Question: 20
A propped cantilever beam $\text{XY}$, with an internal hinge at the middle, is carrying a uniformly distributed load of $\text{10 kN/m}$, as shown in the figure. The vertical reaction at support $\text{X}$ ( in $\text{kN}$, $\textit{in integer}$) is ___________
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Mar 1
in
Structural Analysis
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analysisofbeams
cantileverbeam
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4
GATE Civil 2021 Set 2  Question: 21
The internal $(d_{i})$ and external $(d_{o})$ diameters of a Shelby sampler are $\text{48 mm}$ and $\text{52 mm}$, respectively. The area ratio $(A_{r})$ of the sampler (in $\%, \textit{round off to two decimal palces}$) is ________________
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Mar 1
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Foundation Engineering
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standardandconepenetrationtest
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5
GATE Civil 2021 Set 2  Question: 22
A $12$hour unit hydrograph (of $\text{1 cm}$ excess rainfall) of a catchment is of a triangular shape with a base width of $144$ hour and a peak discharge of $23\text{ m}^3\text{/s}$. The area of the catchment (in $\text{km}^2, \textit{round off to the nearest integer}$) is _____________
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Mar 1
in
Hydrology
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5.2k
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gatecivil2021set2
numericalanswers
surfacerunoffmodels
rainfall
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0
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6
GATE Civil 2021 Set 2  Question: 23
A lake has a maximum depth of $\text{60 m}$. If the mean atmospheric pressure in the lake region is $\text{91 kPa}$ and the unit weight of the lake water is $\text{9790 N/m}^{3}$, the absolute pressure (in $\text{kPa}, \textit{round off to two decimal places}$) at the maximum depth of the lake is ___________________
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Mar 1
in
Fluid Mechanics
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gatecivil2021set2
numericalanswers
momentumandenergyequations
fluidstatics
0
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0
answers
7
GATE Civil 2021 Set 2  Question: 24
In a threephase signal system design for a fourleg intersection, the critical flow ratios for each phase are $0.18, 0.32$, and $0.22$. The total loss time in each of the phases is $\text{2 s}$. As per Webster's formula, the optimal cycle length (in $\text{s}, \textit{round off to the nearest integer}$) is _______________
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Mar 1
in
Traffic Engineering
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5.2k
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gatecivil2021set2
numericalanswers
trafficsignal
designbywebstersmethod
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0
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8
GATE Civil 2021 Set 2  Question: 25
A horizontal angle $\theta$ is measured by four different surveyors multiple times and the values reported are given below. $\begin{array}{lccIcIcIcIcI}\hline &\text{Surveyor} & \text{Angle $ ... $\theta$ ( in degree, $\textit{round off to two decimal places}$is _________________
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Mar 1
in
Geomatics Engineering
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5.2k
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gatecivil2021set2
numericalanswers
distanceanglemeasurement
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0
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9
GATE Civil 2021 Set 2  Question: 36
A function is defined in Cartesian coordinate system as $f(x,y)=xe^{y}$. The value of the directional derivative of the function ($\textit{in integer}$) at the point $(2,0)$ along the direction of the straight line segment from point $(2, 0)$ to point $\left ( \dfrac{1}{2} ,2\right )$ is _________
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Mar 1
in
Calculus
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5.2k
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gatecivil2021set2
numericalanswers
calculus
directionalderivatives
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0
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10
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 ________________________
asked
Mar 1
in
Solid Mechanics
by
jothee
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5.2k
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gatecivil2021set2
numericalanswers
bucklingofcolumn
0
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0
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11
GATE Civil 2021 Set 2  Question: 38
A prismatic fixedfixed beam, modelled with a total lumpedmass of $\text{10 kg}$ as a single degree of freedom $\text{(SDOF)}$ system is shown in the figure. If the flexural stiffness of the beam is $4 \pi ^{2}$ $\text{kN/m}$, its natural frequency of vibration (in $\text{Hz}$, $\textit{in integer}$) in the flexural mode will be ______________
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Mar 1
in
Structural Analysis
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5.2k
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gatecivil2021set2
numericalanswers
stiffnessandflexibilitymethods
structuralanalysis
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0
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12
GATE Civil 2021 Set 2  Question: 39
A perfectly flexible and inextensible cable is shown in the figure (not to scale). The external loads at $\text{F}$ and $\text{G}$ are acting vertically. The magnitude of tension in the cable segment $\text{FG}$ (in $\text{kN}, \textit{round off to two decimal places}$) is ________________________
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Mar 1
in
Structural Analysis
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5.2k
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gatecivil2021set2
numericalanswers
analysisofcables
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0
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13
GATE Civil 2021 Set 2  Question: 40
A fire hose nozzle directs a steady stream of water of velocity $\text{50 m/s}$ at an angle of $45^{\circ}$ above the horizontal. The stream rises initially but then eventually falls to the ground. Assume water as incompressible and ... ) reached by the stream above the hose nozzle will then be __________
asked
Mar 1
in
Fluid Mechanics
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5.2k
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gatecivil2021set2
numericalanswers
propertiesoffluids
fluidstatics
0
votes
0
answers
14
GATE Civil 2021 Set 2  Question: 41
A rectangular crosssection of a reinforced concrete beam is shown in the figure. The diameter of each reinforcing bar is $\text{16 mm}$. The values of modulus of elasticity of concrete and steel are $2.0 \times 10^{4} \text{ MPa}$ ... $\text{(x)}$ for the uncracked section (in $\text{mm}, \textit{round off to one decimal place}$) is ______________
asked
Mar 1
in
Concrete Structures
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jothee
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5.2k
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gatecivil2021set2
numericalanswers
prestressedconcretebeams
0
votes
0
answers
15
GATE Civil 2021 Set 2  Question: 42
The activity details for a small project are given in the Table. ... $\text{days}, \textit{in integer}$) for project completion is __________________________
asked
Mar 1
in
Construction Materials and Management
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jothee
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5.2k
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gatecivil2021set2
numericalanswers
constructionmanagement
projectplanning
0
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0
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16
GATE Civil 2021 Set 2  Question: 43
An equipment has been purchased at an initial cost of $₹ 160000$ and has an estimated salvage value of $₹ 10000$. The equipment has an estimated life of $5$ years. The difference between the book values (in ₹, $\textit{in integer}$) ... at the end of $4^{\text{th}}$ year using straight line method and sum of years digit method of depreciation is______________
asked
Mar 1
in
Construction Materials and Management
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jothee
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5.2k
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gatecivil2021set2
numericalanswers
costestimation
0
votes
0
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17
GATE Civil 2021 Set 2  Question: 44
A rectangular footing of size $\text{2.8 m}$ $\times$ $\text{3.5 m}$ is embedded in a clay layer and a vertical load is placed with an eccentricity of $\text{0.8 m}$ as shown in the figure (not to scale). Take Bearing ... $2.5$ is ________________________
asked
Mar 1
in
Foundation Engineering
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5.2k
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gatecivil2021set2
numericalanswers
shallowfoundation
meyerhoffsbearingcapacitytheories
0
votes
0
answers
18
GATE Civil 2021 Set 2  Question: 45
The soil profile at a road construction site is as shown in figure (not to scale). A large embankment is to be constructed at the site. The ground water table $\text{(GWT)}$ is located at the surface of the clay layer, and the ... $\text{m}$, $\textit{round off to two decimal places}$) of the clay layer resulting from this loading will be _____________________
asked
Mar 1
in
Foundation Engineering
by
jothee
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5.2k
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gatecivil2021set2
numericalanswers
settlementanalysisinclays
effectofwatertable
0
votes
0
answers
19
GATE Civil 2021 Set 2  Question: 46
Numerically integrate, $f(x)=10x20x^2$ from lower limit $a=0$ to upper limit $b=0.5$. Use Trapezoidal rule with five equal subdivisions. The value (in $\text{units}, \textit{round off to two decimal places}$) obtained is ________________
asked
Mar 1
in
Numerical Methods
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jothee
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5.2k
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gatecivil2021set2
numericalanswers
numericalmethods
integrationbytrapezoidalandsimpsonsrule
0
votes
0
answers
20
GATE Civil 2021 Set 2  Question: 47
The void ratio of a clay soil sample $\text{M}$ decreased from $0.575$ to $0.510$ when the applied pressure is increased from $\text{120 kPa}$ to $\text{180 kPa}$. For the same increment in pressure, the void ratio of another clay ... of consolidation of sample $\text{M}$ to sample $\text{N } (\textit{round off to three decimal places}$) is __________________
asked
Mar 1
in
Soil Mechanics
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5.2k
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gatecivil2021set2
numericalanswers
timerateofconsolidation
0
votes
0
answers
21
GATE Civil 2021 Set 2  Question: 48
The hyetograph in the figure corresponds to a rainfall event of $\text{3 cm}$. If the rainfall event has produced a direct runoff of $\text{1.6 cm}$, the $\phi$index of the event (in $\text{mm/hour},\textit{round off to one decimal place}$) would be
asked
Mar 1
in
Hydrology
by
jothee
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5.2k
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gatecivil2021set2
numericalanswers
surfacerunoffmodels
0
votes
0
answers
22
GATE Civil 2021 Set 2  Question: 49
A venturimeter as shown in the figure (not to scale) is connected to measure the flow of water in a vertical pipe of $\text{20 cm}$ diameter. Assume $g=9.8\text{ m/s}^{2}$ ... $\text{lps}$, round off to two decimal places) considering no loss in the venturimeter is ______________________
asked
Mar 1
in
Fluid Mechanics
by
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5.2k
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gatecivil2021set2
numericalanswers
flowinpipes
0
votes
0
answers
23
GATE Civil 2021 Set 2  Question: 50
A reservoir with a live storage of $300$ million cubic metre irrigates $40000$ hectares ( $1$ hectare= $10^{4}\text{ m}^{2}$) of a crop with two fillings of the reservoir. If the base period of the crop is $120$ days, the duty for this crop (in hectares per cumec, $\textit{round off to integer}$) will then be _________
asked
Mar 1
in
Irrigation
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5.2k
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gatecivil2021set2
numericalanswers
canals
canalsirrigationsystem
0
votes
0
answers
24
GATE Civil 2021 Set 2  Question: 51
An activated sludge process $\text{(ASP)}$ is designed for secondary treatment of $7500\:m^{3}/$day of municipal wastewater. After primary clarifier, the ultimate $\text{BOD}$ of the influent, which enters into $\text{ASP}$ ... underflow volume (in $m^{3}$/day, $\textit{round off to one decimal place}$) of sludge wastage is _______________________
asked
Mar 1
in
Water and Waste Water Quality and Treatment
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5.2k
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gatecivil2021set2
numericalanswers
sludgedisposal
activatedsludgeprocess
0
votes
0
answers
25
GATE Civil 2021 Set 2  Question: 52
A grit chamber of rectangular crosssection is to be designed to remove particles with diameter of $\text{0.25 mm}$ and specific gravity of $2.70$. The terminal settling velocity of the particles is estimated as $\text{2.5 cm/s}$. The ... the chamber (in $\text{m}, \textit{in integer}$) to remove $\text{0.25 mm}$ particles completely is ____________________
asked
Mar 1
in
Municipal Solid Wastes
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5.2k
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gatecivil2021set2
numericalanswers
engineeredsystemforsolidwastemanagement
treatmentanddisposal
0
votes
0
answers
26
GATE Civil 2021 Set 2  Question: 53
In an aggregate mix, the proportions of coarse aggregate, fine aggregate and mineral filler are $\text{55%, 40% and 5%}$, respectively. The values of bulk specific gravity of the coarse aggregate, fine aggregate and mineral filler are ... . The bulk specific gravity of the aggregate mix ($\textit{round off to two decimal places}$) is ____________________
asked
Mar 1
in
Highway Pavements
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5.2k
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gatecivil2021set2
numericalanswers
highwaymaterials
finecourseaggregates
0
votes
0
answers
27
GATE Civil 2021 Set 2  Question: 54
The stopping sight distance $\text{(SSD)}$ for a level highway is $\text{140 m}$ for the design speed of $\text{90 km/h}$. The acceleration due to gravity and deceleration rate are $\text{9.81 m/s$^{2}$}$ ... /reaction time (in $\text{s}, \textit{round off to two decimal places}$) used in the $\text{SSD}$ calculation is ________________________
asked
Mar 1
in
Transportation Infrastructure
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5.2k
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gatecivil2021set2
numericalanswers
sightdistances
0
votes
0
answers
28
GATE Civil 2021 Set 2  Question: 55
For a $2^{\circ}$ curve on a high speed Broad Gauge $\text{(BG)}$ rail section, the maximum sanctioned speed is $\text{100 km/h}$ and the equilibrium speed is $\text{80 km/h}$. Consider dynamic gauge of $\text{BG}$ ... $\text{30.5 m}$ arc. The cant deficiency for the curve (in $\text{mm}, \textit{round off to integer}$) is ________________________
asked
Mar 1
in
Transportation Infrastructure
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5.2k
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gatecivil2021set2
numericalanswers
geometricdesignofrailwaytrack
0
votes
0
answers
29
GATE Civil 2021 Set 1  Question: 18
Consider the limit: $\lim_{x\rightarrow 1}\left ( \frac{1}{\text{ln}\:x}  \frac{1}{x1}\right )$ The limit (correct up to one decimal place) is _____________
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Feb 20
in
Calculus
by
Arjun
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8.7k
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gatecivil2021set1
numericalanswers
calculus
limits
0
votes
0
answers
30
GATE Civil 2021 Set 1  Question: 19
The volume determined from $\int \int \int _{V}\:8\:xyz\:dV$ for $V=\left [ 2,3 \right ]\times \left [ 1,2 \right ]\times \left [ 0,1 \right ]$ will be ($\textit{in integer}$) _____________
asked
Feb 20
in
Calculus
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Arjun
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8.7k
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gatecivil2021set1
numericalanswers
calculus
trippleintegrals
volume
0
votes
0
answers
31
GATE Civil 2021 Set 1  Question: 20
The state of stress in a deformable body is shown in the figure. Consider transformation of the stress from the $\text{xy}$ coordinate system to the $\text{XY}$ coordinate system. The angle $\theta$, locating the $\text{X}$axis, is ... $\text{MPa}, \textit{round off to one decimal place}$) in $\text{xy}$ coordinate system is ______________________
asked
Feb 20
in
Solid Mechanics
by
Arjun
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8.7k
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gatecivil2021set1
numericalanswers
transformationofstress
0
votes
0
answers
32
GATE Civil 2021 Set 1  Question: 21
The equation of deformation is derived to be $y=x^{2}xL$ for a beam shown in the figure. The curvature of the beam at the midspan (in units, in integer) will be _________________
asked
Feb 20
in
Structural Analysis
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Arjun
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8.7k
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gatecivil2021set1
numericalanswers
analysisofbeams
0
votes
0
answers
33
GATE Civil 2021 Set 1  Question: 22
A truss $\text{EFGH}$ is shown in the figure, in which all the members have the same axial rigidity $\text{R}$. In the figure, $\text{P}$ is the magnitude of external horizontal forces acting at joints $\text{F}$ ... of the horizontal displacement of joint $\text{G}$ (in $\text{mm}, \textit{round off to one decimal place}$) is _____________________
asked
Feb 20
in
Structural Analysis
by
Arjun
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8.7k
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gatecivil2021set1
numericalanswers
analysisoftrusses
0
votes
0
answers
34
GATE Civil 2021 Set 1  Question: 23
The cohesion $\text{(c)}$, angle of internal friction $\left ( \phi \right )$ and unit weight $\left ( \gamma \right )$ of a soil are $15$ $\text{kPa}$, $20^{\circ}$ and $17.5$ $\text{kN/m}^3$, respectively. The maximum depth of unsupported excavation in the soil (in $\text{m}$, round off to two decimal places) is ______________
asked
Feb 20
in
Foundation Engineering
by
Arjun
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8.7k
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gatecivil2021set1
numericalanswers
friction
0
votes
0
answers
35
GATE Civil 2021 Set 1  Question: 24
Two reservoirs are connected through a homogeneous and isotropic aquifer having hydraulic conductivity $\text{(K)}$ of $25$ $\text{m}$/day and effective porosity $\left ( \eta \right )$ of $0.3$ as shown in the figure (not to scale ... , $\textit{round off to one decimal place}$) taken by the contaminated water to reach to Reservoir $2$ will be _______________
asked
Feb 20
in
Hydrology
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Arjun
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8.7k
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gatecivil2021set1
numericalanswers
hydraulicsandacquifers
reservoirs
0
votes
0
answers
36
GATE Civil 2021 Set 1  Question: 25
A signalized intersection operates in two phases. The lost time is $3$ seconds per phase. The maximum ratios of approach flow to saturation flow for the two phases are $0.37$ and $0.40$. The optimum cycle length using the Webster's method (in seconds, round off to one decimal place) is ______________
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Feb 20
in
Traffic Engineering
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Arjun
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8.7k
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gatecivil2021set1
numericalanswers
signaldesign
webstersmethod
0
votes
0
answers
37
GATE Civil 2021 Set 1  Question: 36
The value of abscissa $(x)$ and ordinate $(y)$ of a curve are as follows: $\begin{array}{clcI}\hline &x & y\\ \hline & \text{$2.0$} & \text{$5.00$} \\ \hline & \text{$2.5$} & \text{$ ... $1/3^\text{rd}$ rule, the area under the curve $\textit{(round off to two decimal places)}$ is __________________
asked
Feb 20
in
Numerical Methods
by
Arjun
(
8.7k
points)
gatecivil2021set1
numericalanswers
numericalmethods
simpsonsrule
integrationbytrapezoidalandsimpsonsrule
0
votes
0
answers
38
GATE Civil 2021 Set 1  Question: 39
A prismatic cantilever prestressed concrete beam of span length, $L = 1.5 \text{ m}$ has one straight tendon placed in the crosssection as shown in the following figure (not to scale). The total prestressing force of $50 \text{ kN}$ in the ... $\text{Mpa}, \textit{in integer}$) experienced at point $Q$' will be _____________
asked
Feb 20
in
Concrete Structures
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Arjun
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8.7k
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gatecivil2021set1
numericalanswers
prestressedconcretebeams
0
votes
0
answers
39
GATE Civil 2021 Set 1  Question: 40
A column is subjected to a total load $(P)$ of $60\text{ kN}$ supported through a bracket connection, as shown in the figure (not to scale). The resultant force in bolt $R$ (in $\text{kN}, \textit{round off to one decimal place}$) is _____________________________
asked
Feb 20
in
Steel Structures
by
Arjun
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8.7k
points)
gatecivil2021set1
numericalanswers
simpleandeccentricconnection
bracketconnection
0
votes
0
answers
40
GATE Civil 2021 Set 1  Question: 43
A small project has $12$ activities  $\text{N, P, Q, R, S, T, U, V, W, X, Y,}$ and $\text{Z}$ ... $\text{ V }$ (in weeks, in integer) is __________________
asked
Feb 20
in
Numerical Ability
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Arjun
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8.7k
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gatecivil2021set1
numericalanswers
totalfloatformula
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