Civil Engineering - GATE 2017 Paper Solution

Question No. 1

The matrix P is the inverse of a matrix Q. If I denotes the identitiy matrix, which one of the following option is correct?

Question No. 2

The number of parameters in the univariate and Gaussian distribution respectively are

Question No. 3

Let x be continuos variable defined over the interval $\style{font-family:'Times New Roman'}{(-\infty,\;\infty)}$, and $\style{font-family:'Times New Roman'}{f(x)=e^{-x-e^{-x}}}$. The integral $\style{font-family:'Times New Roman'}{g\left(x\right)=\;\int f(x)\;dx}$ is equal to

Question No. 4

An elastic bar of lenght L, uniform cross sectional area A, coefficient of thermal expansion $\style{font-family:'Times New Roman'}\alpha$, and Yong's moduls E is fixed at the two ends. The temperature of the bar is increased by T, resulting in an axial strees $\style{font-family:'Times New Roman'}\sigma$. Keeping all other parameter unchanged if the length of the bar is doubled, the axial stress would be

Question No. 5

A simply supported beam is subjected to a uniformly distributed load. Which one of the following statements is True?

Question No. 6

According to IS 456 - 2000, which one of the following statement about the depth of netural axis $\style{font-family:'Times New Roman'}{{\mathrm\chi}_{\mathrm u,\mathrm{bal}}}$ for a balanced reinforced concrete section is correct?

Question No. 7

The figure shows a two-hinged  parabolic arch of spam L subjected to uniformly distributed load of  intensity  q per unit length

The maximum bending moment  in the arch is qual to 

Question No. 8

Group I lists the type of gain or loss of strength in soils. Group II lists the property or process responsible for the loss or gain of strength in soils.

Group I Group II
P. Regain of strength with time 1. Boiling
Q. Loss of strength due to cyclic loading 2. Liquefacation
R. Loss of strength due to upward seepage 3. Thixotropy
S. Loss  of strength due to remolding 4. Sensitivity

The correct match between Group I and Group II is 

Question No. 9

A soil sample is subjected to a hydrostatic pressure.$\style{font-family:'Times New Roman'}{\mathrm\sigma}$. The Mohr circle for any point in the soil sample would be

Question No. 10

A strip footing is resting on the ground surface of a pure clay bed having an undrained choesion Cu. The ultimate bearing capacity of the footing is equal to

Question No. 11

A  uniformaly distribute line load of 500 kN/m is acting on the ground surface. Based on Boussinesq's theory the ratio of vertical stress at a depth 2 m to that at 4 m, right below the line of loading is

Question No. 12

For a steady incompressible laminar flow between two infinite parallel stationary plates the shear stress variation is

Question No. 13

The reaction rate involving reactants A and B is given by $\style{font-family:'Times New Roman'}{-k\left[A\right]^\alpha\left[B\right]^\beta}$. Which one of the following statement is valid for the reaction to be a first-order reaction?

Question No. 14

The wastewater from a city, containing a high concentration of biodegrable organics is beng steadily discharged into a flowing river at a locations S. If the rate of aeration of the river water is lower than the rate of degradation of the organics, then the dissolved oxygen of the river water

Question No. 15

Which one of the following is NOT present in acid rain?

Question No. 16

A super -elevation e is provided on a circuler horizontal curve such that a vehical can be sttoped on the curve without sliding Assuming a design v and maximum cofficient of side friction fmax, which one of the following critearea should be satisfied?

Question No. 17

A runway is being constructed in a new airport as per the International civil Aviation organization (ICAO) recommendations. The elevation and the airport refrence temprature of this airport are 535 m above the mean sea level and $\style{font-family:'Times New Roman'}{22.65^\circ}$ respectively. Consider the effective gradient of runway as 1%. The length of runway required for a design-aircraft under the standaed conditions is 2000 m. Within the framework of applynig sequential corrections as per the ICAO recommendations, the length of runway corrected for the temprature is.

Question No. 18

The accuracy of an Electronic  Distance Measuring Instrument (EDMI) is specified as $\style{font-family:'Times New Roman'}{\pm(a\;\mathrm{mm}+b\;\mathrm{ppm})}$. Which one of the following statements is correct?

Question No. 19

The number of spectral bands in the Enhanced Thematic Mapper sensor on the remote sensing satellite Landsat-7 is

Question No. 20

Consider the following partial differential equation:

$\style{font-family:'Times New Roman'}{3\frac{\partial^2\phi}{\partial x^2}+B\frac{\partial^2\phi}{\partial x\partial y}+3\frac{\partial^2\phi}{\partial y^2}+4\phi=0}$

For this equation to be classified as parabolic , the value of B2 must be _____________.