Engineering Sciences
GATE XE format:mcq PYQs
Build your understanding with focused practice from past exam papers.
Questions 791–800 of 959. Imported answers require independent review unless marked reviewed.
Question 3
Open questionXE-DMCQ1 markNeeds review
The effective lengths of the columns with ideal boundary conditions shown in Case-I, Case-II, and Case-III are respectively
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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-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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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 
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Open questionXE-DMCQ2 marksNeeds review
A circular shaft
of diameter,
and length,
is fixed at end
. It is subjected to the torsional moments at point
and point
as shown in the figure. The ratio of angle of twists at point
to point
is 
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