Engineering Sciences
GATE XE discipline:engineering-sciences PYQs
Build your understanding with focused practice from past exam papers.
Questions 1491–1500 of 1772. Imported answers require independent review unless marked reviewed.
Question 4
Open questionXE-DMCQ1 markNeeds review
At a point in a stressed body, sum of the normal stresses acting on perpendicular faces of an arbitrarily oriented plane stress element is always
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Open questionXE-DMCQ1 markNeeds review
The principal stresses on a plane stress element are shown in the figure. The maximum shear stress (in MPa) is
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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 
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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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