Engineering Sciences
GATE XE year:2018 PYQs
Build your understanding with focused practice from past exam papers.
Questions 71–80 of 175. Imported answers require independent review unless marked reviewed.
Question 6
Open questionXE-DNAT1 markNeeds review
A rigid and thin L-shaped bracket is fixed to the wall at point
, and a force
is applied at point
as shown. For a given force
, the point
experiences the maximum clockwise moment when the inclination
(in degrees) with the
-axis is .......... [up to two decimal places] 
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Open questionXE-DNAT1 markNeeds review
A cantilever beam with length,
m, modulus of elasticity,
GPa, and area moment of inertia,
carries a concentrated mass
kg at its free-end. By idealizing it as a single degree-of-freedom system and neglecting the mass of the cantilever beam, the natural frequency (in rad/s) of small transverse oscillations of the mass is ....... [up to two decimal places]Log in to check the answer
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Open questionXE-DNAT1 markNeeds review
For a typical grade of steel, the value of modulus of elasticity (
) and Poisson’s ratio (
) are 208 GPa and 0.3 respectively. The value of shear modulus (
) of the steel (in GPa) is .......Log in to check the answer
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Open questionXE-DNAT1 markNeeds review
A tensile test is performed on a metallic specimen of diameter 8 mm and gauge length 50 mm. When the tensile load
reaches a value of 20 kN, the distance between the gauge marks increases by 0.09 mm. If the sample remains within the elastic limit, the modulus of elasticity (in GPa) of the test metal is..........[up to two decimal places] 
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Open questionXE-DMCQ2 marksNeeds review
A beam
is subjected to load
at its free end
as shown in the figure. The flexural rigidity of the beam is
. The vertical support reaction at point
is 
Your answerChoose one option.
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Open questionXE-DMCQ2 marksNeeds review
A horizontal effort
is applied to raise a block of weight
on a rough surface inclined at an angle
with the horizontal. If
is the coefficient of static friction between the block and the surface, the minimum effort
required to impend the upward motion of the block along the surface is 
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Open questionXE-DMCQ2 marksNeeds review
Three round bars of same material, equal lengths, and different cross-sectional dimensions are shown in the figures as Case-I, Case-II and Case-III. All the bars are clamped at the upper end, and a concentrated load
is applied at the lower end of each bar. If the elastic strain energy stored in the bar shown in Case-I is
then the elastic strain energy stored in Case-II and Case-III respectively is 
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Open questionXE-DMCQ2 marksNeeds review
A rigid uniform rod with mass
, length
and center of gravity
is freely suspended from a hinge as shown in the figure. The rod is given a small angular displacement
in the counter-clockwise direction from the position in which it hangs vertically (
). If
is the acceleration due to gravity, the natural frequency of oscillations (in rad/s) is 
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Open questionXE-DMCQ2 marksNeeds review
A cylindrical member, made up of ductile material, is subjected to pure torsion as shown in the figure. The failure plane (from Option-I to Option-IV) for ductile material as per maximum shear stress theory is represented by
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Open questionXE-DMCQ2 marksNeeds review
A simply supported beam of span
is subjected to a couple
at a distance
from support
. Among the four options (Option-I to Option-IV) shown, the correct shear force diagram of the beam is 
Your answerChoose one option.
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