GATE CE 2017 Set 2

## GATE CE

Given that the scope of the construction work is well-defined with all its drawings,
specifications, quantities and esti

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Consider the following statements:
P. Walls of one brick thick are measured in square meters.
Q. Walls of one brick thic

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For a construction project. The mean and standard deviation of the completion time are 200
days and 6.1 days, respective

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Consider the following simultaneous equations (with $${c_1}$$ and $${c_2}$$ being constants):
$$$3{x_1} + 2{x_2} = {c_1

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If $$A = \left[ {\matrix{
1 & 5 \cr
6 & 2 \cr
} } \right]\,\,and\,\,B = \left[ {\matrix{
3 &

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Let $$\,\,W = f\left( {x,y} \right),\,\,$$ where $$x$$ and $$y$$ are functions of $$t.$$ Then, according to the chain ru

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The tangent to the curve represented by $$y=x$$ $$ln$$ $$x$$ is required to have $${45^ \circ }$$ inclination with the $

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Consider the following definite integral
$$${\rm I} = \int\limits_0^1 {{{{{\left( {{{\sin }^{ - 1}}x} \right)}^2}} \ove

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The divergence of the vector field $$\,V = {x^2}i + 2{y^3}j + {z^4}k\,\,$$ at $$x=1, y=2, z=3$$ is ________.

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A two-faced fair coin has its faces designated as head $$(H)$$ and tail $$(T)$$. This coin is tossed three times in succ

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The analysis of a water sample produces the following results:
The total hardness (in mg/L as $${\mathrm{CaCO}}_3$$) of

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The figure shows a U-tube having a 5 mm × 5 mm square cross-section filled with mercury
(specific gravity = 13.6) up to

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A catchment is idealized as a 25 km × 25 km square. It has five rain gauges, one at each
corner and one at the center, a

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The culturable command area of a canal is 10,000 ha. The area grows only two crops-rice in
the Kharif season and wheat i

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Let the characteristic strength be defined as that value, below which not more than 50% of the
results are expected to f

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A simply supported rectangular concrete beam of span $$8$$ $$m$$ has to be prestressed with a force of $$1600$$ $$kN.$$

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Two plates of $$8$$ $$mm$$ thickness each are connected by a fillet weld of $$6$$ $$mm$$ thickness as shown in the figur

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In a material under a state of plane strain, a 10×10 mm square centered at a point gets
deformed as shown in the figure.

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Consider the three prismatic beams with the clamped supports $$P,Q$$ and $$R$$ as shown in the figures.
Given that the

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A hollow circular shaft has an outer diameter of $$100$$ $$mm$$ and inner diameter of $$50mm.$$ If the allowable shear s

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Two prismatic beams having the same flexural rigidity of $$1000\,kN$$-$${m^2}$$ are shown in the figures.
If the mid-s

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Consider the frame shown in the figure.
If the axial and shear deformations in different members of the frame are assu

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Consider the portal frame shown in the figure and assume the modulus of elasticity, $$E = \,2.5 \times {10^4}\,\,MPa$$ a

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While aligning a hill road with a ruling gradient of 6%, a horizontal curve of radius 50 m is encountered. The grade com

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