Questions by go_editor / GO Civil

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161

GATE2020 CE-2-21
$24$-$h$ traffic count at a road section was observed to be $1000$ vehicles on a Tuesday in the month of July. If daily adjustment factor for Tuesday is $1.21$ and monthly adjustment factor for July is $0.913$, the Annual Average Daily Traffic (in veh/day, round off to the nearest integer) is __________.

$24$-$h$ traffic count at a road section was observed to be $1000$ vehicles on a Tuesday in the month of July. If daily adjustment factor for Tuesday is $1.21$ and monthl...

asked Feb 13, 2020

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162

GATE2020 CE-2-22
A soil has dry unit weight of $15.5\: kN/m^3$, specific gravity of $2.65$ and degree of saturation of $72\: %.$ Considering the unit weight of water as $10\: kN/m^3$, the water content of the soil (in $\%$ round off to two decimal places) is __________.

A soil has dry unit weight of $15.5\: kN/m^3$, specific gravity of $2.65$ and degree of saturation of $72\: %.$ Considering the unit weight of water as $10\: kN/m^3$, the...

asked Feb 13, 2020

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163

GATE2020 CE-2-23
A one-dimensional consolidation test is carried out on a standard $19\: mm$ thick clay sample. The oedometer’s deflection gauge indicates a reading of $2.1\: mm$, just before removal of the load, without allowing any swelling. The void ratio is $0.62$ at this stage. The initial void ratio (round off to two decimal places) of the standard specimen is __________.

A one-dimensional consolidation test is carried out on a standard $19\: mm$ thick clay sample. The oedometer’s deflection gauge indicates a reading of $2.1\: mm$, just ...

asked Feb 13, 2020

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164

GATE2020 CE-2-24
Velocity distribution in a boundary layer is given by $\dfrac{u}{U_\infty} = \sin\large \left( \dfrac{\pi}{2}\dfrac{y}{\delta} \right)$, where $u$ is the velocity at vertical coordinate $y,\: U_\infty$ is the free stream velocity and $\delta$ is the boundary layer ... $\ s^{-1}$, round off to two decimal places) at $y = 0$, is ________.

Velocity distribution in a boundary layer is given by $\dfrac{u}{U_\infty} = \sin\large \left( \dfrac{\pi}{2}\dfrac{y}{\delta} \right)$, where $u$ is the velocity at vert...

asked Feb 13, 2020

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165

GATE2020 CE-2-25
Two identically sized primary settling tanks receive water for $\text{Type-I}$ settling (discrete particles in dilute suspension) under laminar flow conditions. The Surface Overflow Rate (SOR) maintained in the two tanks are $30\ m^3/m^2.d$ and $15\: m^3/m^2.d$. ... $d_{15}$ respectively. The ratio, $\large \dfrac{d_{30}}{d_{15}}$ (round off to two decimal places), is ________.

Two identically sized primary settling tanks receive water for $\text{Type-I}$ settling (discrete particles in dilute suspension) under laminar flow conditions. The Surfa...

asked Feb 13, 2020

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166

GATE2020 CE-2-26
An ordinary differential equation is given below $6\dfrac{d^2y}{dx^2}+\frac{dy}{dx}-y=0$ The general solution of the above equation (with constants $C_1$ and $C_2$), is $y(x) = C_1e^\frac{-x}{3} + C_2e^\frac{x}{2}$ $y(x) = C_1e^\frac{x}{3} + C_2e^\frac{-x}{2}$ $ y(x) = C_1xe^\frac{-x}{3} + C_2e^\frac{x}{2}$ $ y(x) = C_1e^\frac{-x}{3} + C_2xe^\frac{x}{2}$

An ordinary differential equation is given below$$6\dfrac{d^2y}{dx^2}+\frac{dy}{dx}-y=0$$The general solution of the above equation (with constants $C_1$ and $C_2$), is$y...

asked Feb 13, 2020

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167

GATE2020 CE-2-27
A $4 \times 4$ matrix $[P]$ is given below $[P] = \begin{bmatrix}0 &1 &3 &0 \\-2 &3 &0 &4 \\0 &0 &6 &1 \\0 &0 &1 &6 \end{bmatrix}$ The eigen values of $[P]$ are $0, 3, 6, 6$ $1, 2, 3, 4$ $3, 4, 5, 7$ $1, 2, 5, 7$

A $4 \times 4$ matrix $[P]$ is given below$$[P] = \begin{bmatrix}0 &1 &3 &0 \\-2 &3 &0 &4 \\0 &0 &6 &1 \\0 &0 &1 &6 \end{bmatrix}$$The eigen values of $[P]$ are $0, 3, 6,...

asked Feb 13, 2020

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168

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...

asked Feb 13, 2020

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169

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...

asked Feb 13, 2020

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170

GATE2020 CE-2-30
Joints $I,J,K,L,Q$ and $M$ of the frame shown in the figure (not drawn to the scale) are pins. Continuous members $IQ$ and $LJ$ are connected through a pin at $N$. Continuous members $JM$ and $KQ$ are connected through a pin at $P$. The frame has hinge ... positive $X$ direction. The magnitude of the horizontal component of reaction $\text{(in kN)}$ at $S,$ is $5$ $10$ $15$ $20$

Joints $I,J,K,L,Q$ and $M$ of the frame shown in the figure (not drawn to the scale) are pins. Continuous members $IQ$ and $LJ$ are connected through a pin at $N$. Contin...

asked Feb 13, 2020

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171

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

asked Feb 13, 2020

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172

GATE2020 CE-2-32
$\text{Group-I}$ gives a list of test methods for evaluating properties of aggregates. $\text{Group-II}$ ... $P-2; Q-1; R-4; S-3$ $P-3; Q-4; R-1; S-2$ $P-2; Q-4; R-3; S-1$

$\text{Group-I}$ gives a list of test methods for evaluating properties of aggregates. $\text{Group-II}$ gives the list of properties to be evaluated.$$\begin{array}{ll}\...

asked Feb 13, 2020

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173

GATE2020 CE-2-33
For the hottest month of the year at the proposed airport site, the monthly mean of the average daily temperature is $39^{\circ}C$. The monthly mean of the maximum daily temperature is $48^{\circ}C$ for the same month of the year. From the given information, the calculated Airport Reference Temperature $\text{(in}\: ^{\circ}C),$ is $36$ $39$ $42$ $48$

For the hottest month of the year at the proposed airport site, the monthly mean of the average daily temperature is $39^{\circ}C$. The monthly mean of the maximum daily ...

asked Feb 13, 2020

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174

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...

asked Feb 13, 2020

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175

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 ...

asked Feb 13, 2020

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176

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...

asked Feb 13, 2020

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177

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...

asked Feb 13, 2020

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178

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...

asked Feb 13, 2020

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179

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...

asked Feb 13, 2020

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180

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...

asked Feb 13, 2020

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181

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...

asked Feb 13, 2020

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182

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 ...

asked Feb 13, 2020

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183

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...

asked Feb 13, 2020

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184

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\...

asked Feb 13, 2020

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185

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...

asked Feb 13, 2020

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186

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...

asked Feb 13, 2020

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187

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...

asked Feb 13, 2020

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188

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...

asked Feb 13, 2020

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189

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 ...

asked Feb 13, 2020

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190

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...

asked Feb 13, 2020

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191

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...

asked Feb 13, 2020

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192

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...

asked Feb 13, 2020

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193

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 $= 20\%.$...

asked Feb 13, 2020

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194

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}, ...

asked Feb 13, 2020

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195

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 $...

asked Feb 13, 2020