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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 $U = U_1 + U_2$ $U = U_1 - U_2$ $U < U_1 + U_2$ $U > U_1 + U_2$
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 sho...
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5.3k
points
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Feb 13, 2020
Solid Mechanics
gate2020-ce-2
young's-modulus
solid-mechanics
structural-engineering
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0
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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 $\dfrac{PL^3}{12EI}$ $\dfrac{PL^2}{12EI}$ $\dfrac{PL^2}{6EI}$ $\dfrac{PL}{6EI}$
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...
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5.3k
points
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Feb 13, 2020
Solid Mechanics
gate2020-ce-2
solid-mechanics
structural-engineering
simple-bending-theory
flexural-rigidity
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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
The flow-density relationship of traffic on a highway is shown in the figureThe correct representation of speed-density relationship of the traffic on this highway is
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5.3k
points
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Feb 13, 2020
Highway Pavements
gate2020-ce-2
highway-pavements
transportation-engineering
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–
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 $37.29$ $80.20$ $68.25$ $0.03$
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 $(k_h)$ an...
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5.3k
points
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Feb 13, 2020
Soil Mechanics
gate2020-ce-2
coefficient-of-permeability
soil-mechanics
geotechnical-engineering
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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 $1.84$ $1.57$ $0.58$ $1.67$
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 ...
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5.3k
points
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Feb 13, 2020
Geotechnical Engineering
gate2020-ce-2
geotechnical-engineering
characteristics-of-clay
soil-mechanics
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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 $7$ $10$ $11$ $13$
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...
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5.3k
points
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Feb 13, 2020
Irrigation
gate2020-ce-2
irrigation
crop-water-requirements
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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 $130.4$ $100.0$ $50.0$ $65.2$
Alkalinity of water, in equivalent/litre (eq/litre), is given by$${\{HC{O_3}^-}\} + 2{\{C{O_3}^{2-}}\} + {\{OH^-\}}\ –\ {\{H^+\}}$$where, $\{\ \ \}$ represents concen...
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5.3k
points
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Feb 13, 2020
Water Resources Engineering
gate2020-ce-2
water-resources-engineering
alkalinity-of-water-sample
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0
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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 $413.050$ $413.955$ $431.050$ $435.955$
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 di...
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5.3k
points
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Feb 13, 2020
Geomatics Engineering
gate2020-ce-2
geomatics-engineering
total-station
horizontal-curves
errors-and-adjustments
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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 ________.
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\ \si...
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5.3k
points
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Feb 13, 2020
Partial Differential Equation (PDE)
gate2020-ce-2
numerical-answers
partial-differential-equation
fourier-series
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0
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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 ________
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 abso...
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5.3k
points
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asked
Feb 13, 2020
Numerical Methods
gate2020-ce-2
numerical-answers
numerical-methods
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0
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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 ________.
A concrete beam of span $15\: m,\ 150\: mm$ wide and $350\: mm$ deep is prestressed with a parabolic cable as shown in the figure (not drawn to the scale). Coefficient of...
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5.3k
points
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Feb 13, 2020
Concrete Structures
gate2020-ce-2
numerical-answers
concrete-structures
structural-engineering
concrete-beams
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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 ________.
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 ...
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5.3k
points
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asked
Feb 13, 2020
Structural Analysis
gate2020-ce-2
numerical-answers
structural-analysis
structural-engineering
trusses
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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 ________.
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 ste...
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5.3k
points
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asked
Feb 13, 2020
Steel Structures
gate2020-ce-2
numerical-answers
design-of-tension-members
reinforced-concrete-beam
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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 ________.
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\...
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5.3k
points
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asked
Feb 13, 2020
Steel Structures
gate2020-ce-2
numerical-answers
plate-girders
lap-joint
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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 ________.
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. Conside...
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5.3k
points
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asked
Feb 13, 2020
Transportation Infrastructure
gate2020-ce-2
numerical-answers
geometric-design-of-highways
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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 ________.
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 t...
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5.3k
points
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asked
Feb 13, 2020
Foundation Engineering
gate2020-ce-2
numerical-answers
settlement-analysis-in-clays
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–
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 ________.
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 wat...
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5.3k
points
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asked
Feb 13, 2020
Soil Mechanics
gate2020-ce-2
numerical-answers
permeability-one
permeability-one-dimensional-flow
coefficient-of-permeability
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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 ________.
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 in...
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5.3k
points
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asked
Feb 13, 2020
Soil Mechanics
gate2020-ce-2
numerical-answers
stress-strain-characteristics-of-clay-and-sand
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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 ________.
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 ...
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5.3k
points
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asked
Feb 13, 2020
Fluid Mechanics
gate2020-ce-2
numerical-answers
flow-in-pipes
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–
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 ________.
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 f...
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5.3k
points
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asked
Feb 13, 2020
Hydraulics
gate2020-ce-2
numerical-answers
hydraulic-jump
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–
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 ________.
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 he...
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5.3k
points
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asked
Feb 13, 2020
Concrete Structures
gate2020-ce-2
numerical-answers
concrete-dam
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–
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 ________.
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 o...
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5.3k
points
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asked
Feb 13, 2020
Water and Waste Water Quality and Treatment
gate2020-ce-2
numerical-answers
physical-chemical-and-biological-parameters
ph-scale
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–
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 ________.
A waste to energy plant burns dry solid waste of composition: Carbon $= 35\%$, Oxygen $= 26\%$ , Hydrogen $= 10\%$, Sulphur $= 6\%$, Nitrogen $= 3\%$ and Inerts $= 20\%.$...
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5.3k
points
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asked
Feb 13, 2020
Municipal Solid Wastes
gate2020-ce-2
numerical-answers
engineered-system-for-solid-waste-management
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–
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 ________.
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}, ...
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5.3k
points
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asked
Feb 13, 2020
Water and Waste Water Quality and Treatment
gate2020-ce-2
numerical-answers
water-and-waste-water
physical-chemical-and-biological-parameters
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–
1
votes
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 ________.
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 $...
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5.3k
points
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asked
Feb 13, 2020
Geomatics Engineering
gate2020-ce-2
numerical-answers
distance-angle-measurement
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