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Recent questions tagged gate2020-ce-2
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41
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 $U = U_1 + U_2$ $U = U_1 - U_2$ $U < U_1 + U_2$ $U > U_1 + U_2$
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Solid Mechanics
Feb 13, 2020
by
go_editor
5.3k
points
gate2020-ce-2
young's-modulus
solid-mechanics
structural-engineering
0
votes
0
answers
42
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 $\dfrac{PL^3}{12EI}$ $\dfrac{PL^2}{12EI}$ $\dfrac{PL^2}{6EI}$ $\dfrac{PL}{6EI}$
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in
Solid Mechanics
Feb 13, 2020
by
go_editor
5.3k
points
gate2020-ce-2
solid-mechanics
structural-engineering
simple-bending-theory
flexural-rigidity
0
votes
0
answers
43
GATE2020 CE-2-31
The flow-density relationship of traffic on a highway is shown in the figure The correct representation of speed-density relationship of the traffic on this highway is
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asked
in
Highway Pavements
Feb 13, 2020
by
go_editor
5.3k
points
gate2020-ce-2
highway-pavements
transportation-engineering
0
votes
0
answers
44
GATE2020 CE-2-34
Permeability tests were carried out on the samples collected from two different layers as shown in the figure (not drawn to the scale). The relevant horizontal $(k_h)$ and vertical $(k_v)$ coefficients of permeability are indicated for each layer. The ratio of the equivalent horizontal to vertical coefficients of permeability, is $37.29$ $80.20$ $68.25$ $0.03$
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Soil Mechanics
Feb 13, 2020
by
go_editor
5.3k
points
gate2020-ce-2
coefficient-of-permeability
soil-mechanics
geotechnical-engineering
0
votes
0
answers
45
GATE2020 CE-2-35
A $10\ m$ high slope of dry clay soil $\text{( unit weight}\: = 20 kN/m^3$), with a slope angle of $45^{\circ}$and the circular slip surface, is shown in the figure (not drawn to the scale). The weight of the slip wedge is denoted by $W$. The undrained unit cohesion $(c_u)$ is $60\: kPa$. The factor of safety of the slope against slip failure, is $1.84$ $1.57$ $0.58$ $1.67$
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Geotechnical Engineering
Feb 13, 2020
by
go_editor
5.3k
points
gate2020-ce-2
geotechnical-engineering
characteristics-of-clay
soil-mechanics
0
votes
0
answers
46
GATE2020 CE-2-36
Crops are grown in a field having soil, which has field capacity of $30\%$ and permanent wilting point of $13\%.$ The effective depth of root zone is $80\ cm$. Irrigation water is supplied when the average soil moisture drops to $20\%.$ ... of water for the crops is $2\ mm$, the frequency of irrigating the crops (in days), is $7$ $10$ $11$ $13$
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Irrigation
Feb 13, 2020
by
go_editor
5.3k
points
gate2020-ce-2
irrigation
crop-water-requirements
0
votes
0
answers
47
GATE2020 CE-2-37
Alkalinity of water, in equivalent/litre (eq/litre), is given by ${\{HC{O_3}^-}\} + 2{\{C{O_3}^{2-}}\} + {\{OH^-\}}\ -\ {\{H^+\}}$ where, $\{\ \ \}$ represents concentration in $\text{mol/litre}$ ... and $H^+$ are NEGLECTED, the alkalinity of the water sample $\text{(in mg/litre as}\: CaCO_3),$ is $130.4$ $100.0$ $50.0$ $65.2$
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Water Resources Engineering
Feb 13, 2020
by
go_editor
5.3k
points
gate2020-ce-2
water-resources-engineering
alkalinity-of-water-sample
0
votes
0
answers
48
GATE2020 CE-2-38
A theodolite was set up at a station $P$. The angle of depression to a vane $2\ m$ above the food of a staff held at another station $Q$ was $45^\circ$. The horizontal distance between stations $P$ and $Q$ is $20\: m$. The staff reading at a benchmark $S$ ... to curvature and refraction, the $RL$ of the station $Q\: \text{(in m)},$ is $413.050$ $413.955$ $431.050$ $435.955$
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asked
in
Geomatics Engineering
Feb 13, 2020
by
go_editor
5.3k
points
gate2020-ce-2
geomatics-engineering
total-station
horizontal-curves
errors-and-adjustments
0
votes
0
answers
49
GATE2020 CE-2-39
The Fourier series to represent $x- x^2$ for $-\pi\leq x\leq \pi$ is given by $ x-x^2 = \dfrac{a_0}{2} + \sum_{n=1}^{\infty} a_n\ \cos nx + \sum_{n=1}^{\infty} b_n\ \sin nx$ The value of $a_0$(round off to two decimal places), is ________.
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Partial Differential Equation (PDE)
Feb 13, 2020
by
go_editor
5.3k
points
gate2020-ce-2
numerical-answers
partial-differential-equation
fourier-series
0
votes
0
answers
50
GATE2020 CE-2-40
The diameter and height of a right circular cylinder are $3\: cm$ and $4\: cm$, respectively. The absolute error in each of these two measurements is $0.2\: cm$. The absolute error in the computed volume ( in $cm^3$ ,round off to three decimal places), is ________
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asked
in
Numerical Methods
Feb 13, 2020
by
go_editor
5.3k
points
gate2020-ce-2
numerical-answers
numerical-methods
0
votes
0
answers
51
GATE2020 CE-2-41
A concrete beam of span $15\: m,\ 150\: mm$ wide and $350\: mm$ ... cable is tensioned from one end only, the percentage loss (round off to one decimal place) in the cable force due to friction, is ________.
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in
Concrete Structures
Feb 13, 2020
by
go_editor
5.3k
points
gate2020-ce-2
numerical-answers
concrete-structures
structural-engineering
concrete-beams
0
votes
0
answers
52
GATE2020 CE-2-42
The plane truss has hinge supports at $P$ and $W$ and is subjected to the horizontal forces as shown in the figure (not drawn to the scale) Representing the tensile force with $’+’$ sign and the compressive force with $’-’$ sign, the force in member $XW$ (in $kN$, round off to the nearest integer), is ________.
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asked
in
Structural Analysis
Feb 13, 2020
by
go_editor
5.3k
points
gate2020-ce-2
numerical-answers
structural-analysis
structural-engineering
trusses
0
votes
0
answers
53
GATE2020 CE-2-43
The cross-section of the reinforced concrete beam having an effective depth of $500\: mm$ is shown in the figure (not drawn to the scale ). The grades of concrete and steel used are $M35$ and $Fe550$, respectively. The area of tension reinforcement is ... ( in $mm,$ round off to the nearest integer ) of the neutral axis measured from the extreme compression fiber, is ________.
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asked
in
Steel Structures
Feb 13, 2020
by
go_editor
5.3k
points
gate2020-ce-2
numerical-answers
design-of-tension-members
reinforced-concrete-beam
0
votes
0
answers
54
GATE2020 CE-2-44
Two steel plates are lap jointed in a workshop using $6\ mm$ thick fillet weld as shown in the figure (not drawn to the scale). The ultimate strength of the weld is $410\: MPa.$ As per Limit State Design of $IS\: 800:2007$, the design capacity (in $kN$, round off to three decimal places) of the welded connection, is ________.
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Steel Structures
Feb 13, 2020
by
go_editor
5.3k
points
gate2020-ce-2
numerical-answers
plate-girders
lap-joint
0
votes
0
answers
55
GATE2020 CE-2-45
The design speed of a two-lane two-way road is $60\: km/h$ and the longitudinal coefficient of friction is $0.36$. The reaction time of a driver is $2.5$ seconds. Consider acceleration due to gravity as $9.8 m/s^2$. The intermediate sight distance (in $m,$ round off to the nearest integer) required for the road is ________.
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Transportation Infrastructure
Feb 13, 2020
by
go_editor
5.3k
points
gate2020-ce-2
numerical-answers
geometric-design-of-highways
0
votes
0
answers
56
GATE2020 CE-2-46
A footing of size $2\: m \times 2\: m$ transferring a pressure of $200\: kN/m^2$, is place at a depth of $1.5\: m$ below the ground as shown in the figure (not drawn to the scale ). The clay stratum is normally consolidated. The clay has ... $\gamma_w= 10\: kN/m^3$, the primary consolidation settlement in (in mm, round off to two decimal places) of the clay stratum is ________.
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in
Foundation Engineering
Feb 13, 2020
by
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5.3k
points
gate2020-ce-2
numerical-answers
settlement-analysis-in-clays
0
votes
0
answers
57
GATE2020 CE-2-47
A constant-head permeability test was conducted on a soil specimen under a hydraulic gradient of $2.5$. The soil specimen has specific gravity of $2.65$ and saturated water content of $20\%.$ If the coefficient of permeability of the soil is $0.1\: cm/s$, the seepage velocity (in $cm/s,$ round off to two decimal places) through the soil specimen is ________.
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asked
in
Soil Mechanics
Feb 13, 2020
by
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5.3k
points
gate2020-ce-2
numerical-answers
permeability-one
permeability-one-dimensional-flow
coefficient-of-permeability
0
votes
0
answers
58
GATE2020 CE-2-48
A $5\: m$ high vertical wall has a saturated clay backfill. The saturated unit weight and cohesion of clay are $18\: kN/m^3$ and $20\: kPa$, respectively. The angle of internal friction of clay is zero. In order to prevent development of tension zone, the ... tension zone, the minimum height (in $m$, round off to one decimal place) by which the wall has to be raised, is ________.
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asked
in
Soil Mechanics
Feb 13, 2020
by
go_editor
5.3k
points
gate2020-ce-2
numerical-answers
stress-strain-characteristics-of-clay-and-sand
0
votes
0
answers
59
GATE2020 CE-2-49
A cast iron pipe of diameter $600\: mm$ and length $400\: m$ carries water from a tank and discharges freely into air at a point $4.5\: m$ below the water surface in the tank. The friction factor of the pipe is $0.018$. Consider acceleration due to gravity as $9.81\: m/s^2$. The velocity of the flow in pipe (in $m/s$, round off to two decimal places) is ________.
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Fluid Mechanics
Feb 13, 2020
by
go_editor
5.3k
points
gate2020-ce-2
numerical-answers
flow-in-pipes
0
votes
0
answers
60
GATE2020 CE-2-50
A hydraulic jump occurs in a triangular $\text{(V-shaped)}$ channel with side slopes $1:1$ (vertical to horizontal). The sequent depths are $0.5\: m$ and $1.5\: m$. The flow rate (in $m^3/s$, round off to two decimal places) in the channel is ________.
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asked
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Hydraulics
Feb 13, 2020
by
go_editor
5.3k
points
gate2020-ce-2
numerical-answers
hydraulic-jump
0
votes
0
answers
61
GATE2020 CE-2-51
A concrete dam holds $10\: m$ of static water as shown in the figure (not drawn to the scale). The uplift is assumed to vary linearly from full hydrostatic head at the heel, to zero at the toe of the dam. The coefficient of friction between the dam ... , respectively. For NO sliding condition, the required minimum base width $B$ (in $m$ round off to two decimal places) is ________.
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in
Concrete Structures
Feb 13, 2020
by
go_editor
5.3k
points
gate2020-ce-2
numerical-answers
concrete-dam
0
votes
0
answers
62
GATE2020 CE-2-52
The ion product of water $(pK_w)$ is $14$. If a rain water sample has a $pH$ of $5.6$, the concentration of $OH^-$ in the sample (in $10^{-9}\: \text{mol/litre}$, round off to one decimal place), is ________.
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Water and Waste Water Quality and Treatment
Feb 13, 2020
by
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5.3k
points
gate2020-ce-2
numerical-answers
physical-chemical-and-biological-parameters
ph-scale
0
votes
0
answers
63
GATE2020 CE-2-53
A waste to energy plant burns dry solid waste of composition: Carbon $= 35\%$, Oxygen $= 26\%$ , Hydrogen $= 10\%$, Sulphur $= 6\%$, Nitrogen $= 3\%$ and Inerts $= 20\%.$ Burning rate is $1000\: $ tonnes/d. Oxygen in air ... The stoichiometric (theoretical) amount of air ( in tonnes/d, round off to the nearest integer) required for complete burning of this waste is ________.
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Municipal Solid Wastes
Feb 13, 2020
by
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5.3k
points
gate2020-ce-2
numerical-answers
engineered-system-for-solid-waste-management
0
votes
0
answers
64
GATE2020 CE-2-54
A sample of water contains an organic compound $C_8H_{16}O_8$ at a concentration of $10^{-3}\: \text{mol/litre}$. Given that the atomic weight of $C = 12\: \text{g/mol}, H = 1\: \text{g/mol}$, and $O = 16\: \text{g/mol}$, the theoretical oxygen demand of water (in $g$ of $O_2$ per litre, round off to two decimal places), is ________.
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in
Water and Waste Water Quality and Treatment
Feb 13, 2020
by
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5.3k
points
gate2020-ce-2
numerical-answers
water-and-waste-water
physical-chemical-and-biological-parameters
1
vote
0
answers
65
GATE2020 CE-2-55
A theodolite is set up at station $A$. The $RL$ of instrument axis is $212.250\: m$. The angle of elevation to the top of a $4\: m$ long staff, held vertical at station $B$, is $7^{\circ}$.The horizontal distance between stations $A$ and $B$ ... the errors due to curvature of earth and refraction, the $RL$ (in $m,$ round off to three decimal places) of station $B$ is ________.
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asked
in
Geomatics Engineering
Feb 13, 2020
by
go_editor
5.3k
points
gate2020-ce-2
numerical-answers
distance-angle-measurement
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