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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$
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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 p...
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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 $...
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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 ...
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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...
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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 bot...
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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 le...
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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). Ass...
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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 show...
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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 give...
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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} = ...
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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 \...
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GATE Civil 2013 | Question: 28
The solution for $\int_0^{\pi/6} \cos^4 3 \theta \sin^3 6 \theta \: d \theta$ isA. $0$B. $\dfrac{1}{15}$C. $1$D. $\dfrac{8}{3}$
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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 $1$ _...
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GATE Civil 2013 | Question: 26
The state of $2D$-stress at a point is given by the following matrix of stresses:$$\begin{bmatrix} \sigma_{xx} & \sigma_{xy} \\ \sigma_{xy} & \sigma_{yy} \end{bmatrix} = ...
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GATE Civil 2013 | Question: 25
The latitude and departure of a line AB are $+78$ m and $-45.1$ m respectively. The whole circle bearing of the line AB is $30^{\circ}$$150^{\circ}$$210^{\circ}$$330^{\ci...
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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 o...
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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...
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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 strengthCompressive strengthFlexura...
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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...
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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.$...
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GATE Civil 2013 | Question: 19
An isohyet is a line joining points ofequal temperatureequal humidityequal rainfall depthequal evaporation
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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 pas...
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GATE Civil 2013 | Question: 17
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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GATE Civil 2013 | Question: 16
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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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 ...
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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 ...
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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 cons...
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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...
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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...
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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 membe...
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GATE Civil 2013 | Question: 9
Two steel columns P (length $L$ and yield strength $f_y=250$ MPa) and Q (length $2L$ and yield strength $f_y=500$ MPa) have the same cross-sections and end-conditions. Th...
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GATE Civil 2013 | Question: 8
The ‘plane section remains plane’ assumption in bending theory impliesstrain profile is linearstress profile is linearboth strain and strain profiles are linearshear defo...
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GATE Civil 2013 | Question: 7
As per $IS \: 456:2000$ for $M20$ grade concrete and plain barsin tension the design bond stress $\tau_{bd}=1.2$ MPa. Further, $IS \: 456:2000$ permits this design bond s...
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GATE Civil 2013 | Question: 6
The creep strains arecaused due to dead loads onlycaused due to live loads onlycaused due to cyclic loads onlyindependent of loads
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GATE Civil 2013 | Question: 5
As per $IS \: 800:2007$, the cross-section in which the extreme fiber can reach the yield stress, but cannot develop the plastic moment of resistance due to failure by lo...
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GATE Civil 2013 | Question: 4
Maximum possible value of Compacting Factor for fresh (green) concrete is$0.5$$1.0$$1.5$$2.0$
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GATE Civil 2013 | Question: 3
A $1$-h rainfall of $10$ cm magnitude at a station has a return period of $50$ years. The probability that a $1$-h rainfall of magnitude $10$ cm or more will occur in eac...
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GATE Civil 2013 | Question: 2
What is the minimum number of multiplications involved in computing the matrix product $PQR?$ Matrix P has $4$ rows an $2$ columns, matrix $Q$ has $2$ rows and $4$ column...
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GATE Civil 2013 | Question: 1
There is no value of $x$ that can simultaneously satisfy both the given equations. Therefore, find the ‘least squares error’ solution to the two equations, i.e., find the...
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