Recent questions / GO Civil

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1321

GATE Civil 2013 | Question: 49
A propped cantilever made of a prismatic steel beam is subjected to a concentrated load P at mid span as shown. If the magnitude of load $P$ is increased till collapse and the plastic moment carrying capacity of steel beam section is $90$ kNm, determine reaction $R$ (in kN) (correct to $1$-decimal place) using plastic analysis _______

A propped cantilever made of a prismatic steel beam is subjected to a concentrated load P at mid span as shown.If the magnitude of load $P$ is increased till collapse and...

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1322

GATE Civil 2013 | Question: 48
A propped cantilever made of a prismatic steel beam is subjected to a concentrated load P at mid span as shown. If load $P=80$ kN, find the reaction $R$ (in kN) correct to $1$-decimal place) using elastic analysis ________

A propped cantilever made of a prismatic steel beam is subjected to a concentrated load P at mid span as shown.If load $P=80$ kN, find the reaction $R$ (in kN) correct to...

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1323

GATE Civil 2013 | Question: 47
A theodolite is set up at station A and a $3$ m long staff is held vertically at station B. The depression angle reading at $2.5$ m marking on the staff is $6^{\circ}10'$. The horizontal distance between A and B is $2200$ m. Height of instrument ... m and R.L. of A is $880.88$ m. Apply the curvature and refraction correction, and determine the RL of B (in m) _______

A theodolite is set up at station A and a $3$ m long staff is held vertically at station B. The depression angle reading at $2.5$ m marking on the staff is $6^{\circ}10�...

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1324

GATE Civil 2013 | Question: 46
Following bearings are observed while traversing with a compass ... fore bearing of line BC will be $48^{\circ} 15'$ $50^{\circ} 15'$ $49^{\circ} 45'$ $48^{\circ} 45'$

Following bearings are observed while traversing with a compass$\begin{array}{rrr} \text{Line} & \text{Fore Bearing} & \text{back Bearing} \\ AB & 126^{\circ} 45’ & 308...

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1325

GATE Civil 2013 | Question: 45
The percent voids in mineral aggregate (VMA) and percent air voids $(V_v)$ in a compacted cylindrical bituminous mix specimen are $15$ and $4.5$ respectively. The percent voids filled with bitumen (VFB) for this specimen is: $24$ $30$ $54$ $70$

The percent voids in mineral aggregate (VMA) and percent air voids $(V_v)$ in a compacted cylindrical bituminous mix specimen are $15$ and $4.5$ respectively. The percent...

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1326

GATE Civil 2013 | Question: 44
Elevation and temperature data for a place are tabulated below: $\begin{array}{|c|c|} \hline \text{Elevation, m} & \text{Temperature, } ^{\circ}C \\ \hline 4 & 21.25 \\ \hline 444 & 15.70 \\ \hline \end{array}$ Based on the above data, lapse rate can be referred as Super-adiabatic Neutral Sub-adiabatic Inversion

Elevation and temperature data for a place are tabulated below:$$\begin{array}{|c|c|} \hline \text{Elevation, m} & \text{Temperature, } ^{\circ}C \\ \hline 4 & 21.25 \\ \...

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1327

GATE Civil 2013 | Question: 43
A student began experiment for determination of $5$-day, $20^{\circ}C$ BOD on Monday. Since the $5$th day fell on Saturday, the final DO readings were taken on next Monday. On calculation, BOD (i.e. $7$ day, $20^{\circ}C$ was found to be $150$ ... )? Assume value of BOD rate constant $(k)$ at standard temperature of $20^{\circ}C$ as $0.23/day$ (base $e$). ___________

A student began experiment for determination of $5$-day, $20^{\circ}C$ BOD on Monday. Since the $5$th day fell on Saturday, the final DO readings were taken on next Monda...

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1328

GATE Civil 2013 | Question: 42
A settling tank in a water treatment plant is designed for a surface overflow rate of $30 \dfrac{m^3}{\text{day} \cdot m^2}$. Assume specific gravity of sediment particles $=2.65$, density of water $(\rho) =1000 \: kg/m^3$, dynamic viscosity of ... The approximate minimum size of particles that would be completely removed is $0.01$ mm $0.02$ mm $0.03$ mm $0.04$ mm

A settling tank in a water treatment plant is designed for a surface overflow rate of $30 \dfrac{m^3}{\text{day} \cdot m^2}$. Assume specific gravity of sediment particle...

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1329

GATE Civil 2013 | Question: 41
The transplantation of rice requires $10$ days and total depth of water required during transplantation is $48$ cm. During transplantation, there is an effective rainfall (useful for irrigation) of $8$ cm. The duty of irrigation water (in hectares/cumec) is $612$ $216$ $300$ $108$

The transplantation of rice requires $10$ days and total depth of water required during transplantation is $48$ cm. During transplantation, there is an effective rainfall...

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1330

GATE Civil 2013 | Question: 40
The normal depth in a wide rectangular channel is increased by $10 \%$. The percentage increase in the discharge in the channel is $20.1$ $15.4$ $10.5$ $17.2$

The normal depth in a wide rectangular channel is increased by $10 \%$. The percentage increase in the discharge in the channel is$20.1$$15.4$$10.5$$17.2$

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1331

GATE Civil 2013 | Question: 39
A $2$ km long pipe of $0.2$ m diameter connects two reservoirs. The difference between water levels in the reservoirs is $8$ m. The Darcy-Weisbachfriction factor of the pipe is $0.04$. Accounting for frictional, entry exit losses, the velocity in the pipe (in m/s) is $0.63$ $0.35$ $2.52$ $1.25$

A $2$ km long pipe of $0.2$ m diameter connects two reservoirs. The difference between water levels in the reservoirs is $8$ m. The Darcy-Weisbachfriction factor of the p...

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1332

GATE Civil 2013 | Question: 38
Two different soil types (Soil $1$ an Soil $2$) are used as backfill behind a retaining wall as shown in the figure, where $\gamma_t$ is total unit weight, and $c’$ and $\phi’$ are effective cohesion and effective angle of shearing resistance. The resultant active earth forceper unit length (in kN/m) acting on the wall is $31.7$ $35.2$ $51.8$ $57.0$

Two different soil types (Soil $1$ an Soil $2$) are used as backfill behind a retaining wall as shown in the figure, where $\gamma_t$ is total unit weight, and $c’$ and...

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1333

GATE Civil 2013 | Question: 37
The soil profile above the rock surface for a $25^{\circ}$ infinite slope is shown in the figure, where $s_u$ is the undrained shear strength an $\gamma_t$ is total unit weight. The slip will occur at a depth of $8.83$ m $9.79$ m $7.83$ m $6.53$ m

The soil profile above the rock surface for a $25^{\circ}$ infinite slope is shown in the figure, where $s_u$ is the undrained shear strength an $\gamma_t$ is total unit ...

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1334

GATE Civil 2013 | Question: 36
The soil profile below a lake with water level at elevation $=0$ m and lake bottom at elevation $=-10$ m is shown in the figure, where $k$ is the permeability coefficient. A piezometer (stand pipe) installed in the sand layer shows a reading of $+10$ m elevation. Assume that the ... $2.0 \times 10^{-6}$ $1.0 \times 10^{-6}$ $0.5 \times 10^{-6}$

The soil profile below a lake with water level at elevation $=0$ m and lake bottom at elevation $=-10$ m is shown in the figure, where $k$ is the permeability coefficient...

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1335

GATE Civil 2013 | Question: 35
A rectangular concrete beam $250$ mm wide and $600$ mm deep is pre-stressed by means of $16$ high tensile wires, each of $7$ mm diameter, located at $200$ mm from the bottom face of the beamat a given section. If the effective pre- ... beam can with stand without causing tensile stress at the bottom face of of the beam? Neglect the effect of dead load of beam ______

A rectangular concrete beam $250$ mm wide and $600$ mm deep is pre-stressed by means of $16$ high tensile wires, each of $7$ mm diameter, located at $200$ mm from the bot...

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1336

GATE Civil 2013 | Question: 34
Beam $PQRS$ has internal hinges in spans $PQ$ and $RS$ as shown. The beam may be subjected to a moving distributed vertical load of maximum intensity $4 \:kN/m$ of any length anywhere on the beam. The maximum absolute value of the shear force (in $kN$) that can occur due to this loading just to the right of support $Q$ shall be $30$ $40$ $45$ $55$

Beam $PQRS$ has internal hinges in spans $PQ$ and $RS$ as shown. The beam may be subjected to a moving distributed vertical load of maximum intensity $4 \:kN/m$ of any le...

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1337

GATE Civil 2013 | Question: 33
A uniform beam weighing $1800 \: N$ is supported at E and F by cable ABCD. Determine the tension (in $N$) in segment AB of this cable (correct to $1$- decimal place). Assume the cables ABCD, BE and CF to be weightless. _______

A uniform beam weighing $1800 \: N$ is supported at E and F by cable ABCD. Determine the tension (in $N$) in segment AB of this cable (correct to $1$- decimal place). Ass...

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1338

GATE Civil 2013 | Question: 32
A uniform beam $(EI = \textit{constant})PQ$ in the form of a quarter-circle of radius $R$ is fixed at end $P$ and free at the end $Q$, where a load $W$ is applied as shown. The vertical downward displacement, $\delta_q$, at the loaded point $Q$ is ... $\delta_q = \beta \bigg( \dfrac{WR^3}{EI} \bigg)$. Find the value of $\beta$(correct to $4$-decimal places). ______

A uniform beam $(EI = \textit{constant})PQ$ in the form of a quarter-circle of radius $R$ is fixed at end $P$ and free at the end $Q$, where a load $W$ is applied as show...

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1339

GATE Civil 2013 | Question: 31
All members in the rigid-jointed frame shown are prismatic and have the same flexural stiffness $EI$. Find the magnitude of the bending moment at $Q$ (in kNm) due to given loading ________

All members in the rigid-jointed frame shown are prismatic and have the same flexural stiffness $EI$. Find the magnitude of the bending moment at $Q$ (in kNm) due to give...

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1340

GATE Civil 2013 | Question: 30
Laplace equation for water flow in soils is given below. $\dfrac{\partial ^2H}{\partial x^2} + \dfrac{\partial ^2H}{\partial y^2} + \dfrac{\partial ^2H}{\partial z^2} = 0$ Head $H$ does not vary in $y$ and $z$ directions. Boundary conditions are: at $x=0$, $H=5$; and $\dfrac{dH}{dx}=-1$. What is the value of $H$ at $x=1.2$? __________

Laplace equation for water flow in soils is given below. $$\dfrac{\partial ^2H}{\partial x^2} + \dfrac{\partial ^2H}{\partial y^2} + \dfrac{\partial ^2H}{\partial z^2} = ...

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1341

GATE Civil 2013 | Question: 29
Find the value of $\lambda$ such that the function $f(x)$ is a valid probability density function _______ $f(x) = \begin{cases} \lambda (x-1)(2-x) & \text{for } 1 \leq x \leq 2 \\ 0 & \text{otherwise} \end{cases}$

Find the value of $\lambda$ such that the function $f(x)$ is a valid probability density function _______$f(x) = \begin{cases} \lambda (x-1)(2-x) & \text{for } 1 \leq x \...

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1342

GATE Civil 2013 | Question: 28
The solution for $\int_0^{\pi/6} \cos^4 3 \theta \sin^3 6 \theta \: d \theta$ is $0 \\$ $\dfrac{1}{15} \\$ $1 \\$ $\dfrac{8}{3}$

The solution for $\int_0^{\pi/6} \cos^4 3 \theta \sin^3 6 \theta \: d \theta$ is$0 \\$$\dfrac{1}{15} \\$$1 \\$$\dfrac{8}{3}$

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1343

GATE Civil 2013 | Question: 27
Find the magnitude of the error (correct to two decimal places) in the estimation of following integral using Simpson’s $\dfrac{1}{3}$ Rule. Take the step length as $1$ _________ $\int_0^4 (x^4+10) dx$

Find the magnitude of the error (correct to two decimal places) in the estimation of following integral using Simpson’s $\dfrac{1}{3}$ Rule. Take the step length as $1$...

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1344

GATE Civil 2013 | Question: 26
The state of $2D$-stress at a point is given by the following matrix of stresses: $\begin{bmatrix} \sigma_{xx} & \sigma_{xy} \\ \sigma_{xy} & \sigma_{yy} \end{bmatrix} = \begin{bmatrix} 100 & 30 \\ 30 & 20 \end{bmatrix} MPa$ What is the magnitude of the maximum shear stress in MPa $50$ $75$ $100$ $110$

The state of $2D$-stress at a point is given by the following matrix of stresses:$$\begin{bmatrix} \sigma_{xx} & \sigma_{xy} \\ \sigma_{xy} & \sigma_{yy} \end{bmatrix} = ...

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1345

GATE Civil 2013 | Question: 25
The latitude and departure of a line AB are $+78$ m and $-45.1$ m respectively. The whole circle bearing of the line AB is $30^{\circ}$ $150^{\circ}$ $210^{\circ}$ $330^{\circ}$

The latitude and departure of a line AB are $+78$ m and $-45.1$ m respectively. The whole circle bearing of the line AB is $30^{\circ}$$150^{\circ}$$210^{\circ}$$330^{\ci...

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1346

GATE Civil 2013 | Question: 24
For two major roads with divided carriageway crossing at right angle, a full clover leaf interchange with four indirect ramps is provided. Following statements are made on turning movement of vehicles to all directions from both roads. Identify the ... left is not possible, but diverging to left is possible Neither merging from left nor diverging to left is possible

For two major roads with divided carriageway crossing at right angle, a full clover leaf interchange with four indirect ramps is provided. Following statements are made o...

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1347

GATE Civil 2013 | Question: 23
It was observed that $150$ vehicles crossed a particular location of a highway in a duration of $30$ minutes. Assuming that vehicle arrival follows a negative exponential distribution, find out the number of time headways greater than $5$ seconds in the above observation? ________

It was observed that $150$ vehicles crossed a particular location of a highway in a duration of $30$ minutes. Assuming that vehicle arrival follows a negative exponential...

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1348

GATE Civil 2013 | Question: 22
Select the strength parameter of concrete used in design of plain jointed cement concrete pavements from the following choices: Tensile strength Compressive strength Flexural strength Shear strength

Select the strength parameter of concrete used in design of plain jointed cement concrete pavements from the following choices:Tensile strengthCompressive strengthFlexura...

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1349

GATE Civil 2013 | Question: 21
A water treatment plant is designed to treat $1 \: m^3/s$ of raw water. It has $14$ sand filters. Surface area of each filter is $50 \: m^2$. What is the loading rate (in $\dfrac{m^3}{\text{day} \cdot m^2}$) with two filters out of service for routine backwashing? __________

A water treatment plant is designed to treat $1 \: m^3/s$ of raw water. It has $14$ sand filters. Surface area of each filter is $50 \: m^2$. What is the loading rate (in...

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1350

GATE Civil 2013 | Question: 20
Some of the water quality parameters are measured by titrating a water sample with a titrant. Group I gives a list of parameters and Group-II gives the list of titrants. ... $P - 2, Q - 1, R - 4, S - 3$ $P - 4, Q - 3, R - 2, S - 1$

Some of the water quality parameters are measured by titrating a water sample with a titrant. Group I gives a list of parameters and Group-II gives the list of titrants.$...

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1351

GATE Civil 2013 | Question: 19
An isohyet is a line joining points of equal temperature equal humidity equal rainfall depth equal evaporation

An isohyet is a line joining points ofequal temperatureequal humidityequal rainfall depthequal evaporation

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1352

GATE Civil 2013 | Question: 18
For a two dimensional flow field, the stream function $\psi$ is given as $\psi = \dfrac{3}{2}(y^2-x^2)$. The magnitude of discharge occurring between the stream lines passing through points $(0,3)$ and $(3,4)$ is $6$ $3$ $1.5$ $2$

For a two dimensional flow field, the stream function $\psi$ is given as $\psi = \dfrac{3}{2}(y^2-x^2)$. The magnitude of discharge occurring between the stream lines pas...

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1353

GATE Civil 2013 | Question: 17
Group-I contains dimensionless parameters and Group-II contains the ratios. ... $P-3, Q-4, R-2, S-1$ $P-2, Q-3, R-4, S-1$ $P-1, Q-3, R-2, S-4$

Group-I contains dimensionless parameters and Group-II contains the ratios.$\begin{array}{ll} \text{Group I} & \text{Group II} \\ \text{P. Mach Number} & \text{1. Ratio o...

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1354

GATE Civil 2013 | Question: 16
For subcritical flow in an open channel, the control section for gradually varied flow profiles is at the downstream end at the upstream end at both upstream and downstream ends at any immediate section

For subcritical flow in an open channel, the control section for gradually varied flow profiles isat the downstream endat the upstream endat both upstream and downstream ...

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1355

GATE Civil 2013 | Question: 15
Four columns of a building are to be located within a plot size of $10 \: m \times 10 \: m$. The expected load on each column is $4000$ kN. Allowable bearing capacity of the soil deposit is $100 \: kN/m^2$. The type of foundation best suited is isolated footing raft foundation pile foundation combined footing

Four columns of a building are to be located within a plot size of $10 \: m \times 10 \: m$. The expected load on each column is $4000$ kN. Allowable bearing capacity of ...

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1356

GATE Civil 2013 | Question: 14
Following statements are made on compacted soils, wherein DS stands for the soils compacted on dry side of optimum moisture content and WS stands for the soils compacted on wet side of optimum moisture content. Identify the $\textit{incorrect}$ statement. Soil structure ... shrinkage is high on DS and low on WS On access to water, swelling is high on DS and low on DS

Following statements are made on compacted soils, wherein DS stands for the soils compacted on dry side of optimum moisture content and WS stands for the soils compacted ...

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1357

GATE Civil 2013 | Question: 13
The ratio $N_f/N_d$ is known as shape factor, where $N_f$ is the number of flow lines and $N_d$ is the number of equipotential drops. Flow net is always drawn with a constant $b/a$ ratio, where $b$ and $a$ are ... downstream heads are interchanged soil in the flow space is changed dimensions of the flow space are changed head difference causing the flow is changed

The ratio $N_f/N_d$ is known as shape factor, where $N_f$ is the number of flow lines and $N_d$ is the number of equipotential drops. Flow net is always drawn with a cons...

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1358

GATE Civil 2013 | Question: 12
In its natural condition, a soil sample has a mass of $1.980$ kg and a volume of $0.001 \: m^3$. After being completely dried in an oven, the mass of the sample is $1.800$ kg. Specific gravity G is $2.7$. Unit weight of water is $10 \: kN/m^3$. The degree of saturation of the soil is $0.65$ $0.70$ $0.54$ $0.61$

In its natural condition, a soil sample has a mass of $1.980$ kg and a volume of $0.001 \: m^3$. After being completely dried in an oven, the mass of the sample is $1.800...

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1359

GATE Civil 2013 | Question: 11
A symmetric I-section (with width of each flange $=50$ mm, thickness of each flange $=10$ mm, depth of web $=100$ mm, and thickness of web $=10$ mm) of steel is subjected to a shear force of $100$ kN. Find the magnitude of the shear stress (in $N/mm^2$) in the web at its junction with the top flange _______

A symmetric I-section (with width of each flange $=50$ mm, thickness of each flange $=10$ mm, depth of web $=100$ mm, and thickness of web $=10$ mm) of steel is subjected...

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1360

GATE Civil 2013 | Question: 10
The pin-jointed $2-D$ truss is loaded with a horizontal force of $15 \: kN$ at joint S and another $15 \: kN$ vertical force at joint U, as shown. Find the force in member RS (in $kN$) and report your answer taking tension as positive and compression as negative _________

The pin-jointed $2-D$ truss is loaded with a horizontal force of $15 \: kN$ at joint S and another $15 \: kN$ vertical force at joint U, as shown. Find the force in membe...

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