Engineering Sciences
GATE XE topic:solid-mechanics PYQs
Build your understanding with focused practice from past exam papers.
Questions 111–120 of 133. Imported answers require independent review unless marked reviewed.
Question 5
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
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
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 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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Open questionXE-DNAT2 marksNeeds review
A circular steel bar of diameter 10 mm is bent into the shape as shown in figure, and lies in
-
plane. A horizontal force
is applied along the positive
-direction as shown. The yield strength of the steel is 200 MPa. Neglecting the effect of transverse shear, the load
(in Newton) required to initiate yielding as per maximum shear stress theory of failure is………. [up to two decimal places] 
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Open questionXE-DNAT2 marksNeeds review
A simply supported beam
is subjected to load as shown in the figure. The 20 kN load is applied at point
with the help of a welded bracket as shown. The beam has a rectangular cross-section of 15 mm width and 100 mm depth as shown. The maximum transverse shear stress developed in the beam (in MPa) is ……...[up to one decimal place] 
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