Engineering Sciences
GATE XE Mechanics of deformable bodies PYQs
Build your understanding with focused practice from past exam papers.
Questions 11–20 of 133. Imported answers require independent review unless marked reviewed.
Question 85
Open questionXE-DNAT2 marksNeeds review
A solid axial bar made of steel with Young’s modulus, 200 GPa and Poisson’s ratio, 0.3, is subjected to uniaxial stress of 50 MPa.
The absolute value of the maximum shear strain on the outer surface of the bar is _____ × 10⁻⁴ (rounded off to two decimal places).
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Open questionXE-DNAT2 marksNeeds review
EFGH (solid lines) is the initial configuration and E′F′G′H′ (dashed lines) is the deformed configuration of an object as shown in the figure. E′ coincides with E and F′ coincides with F.
The average normal strain along the line segment OP is _____ (rounded off to three decimal places).
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Open questionXE-DNAT2 marksNeeds review
A simply supported beam of length
m is subjected to a concentrated moment
kNm at a distance
from the left end as shown in the figure. The elastic-strain energy
of the beam is given by the following expression:
The section modulus of the beam is
Nm².The absolute value of the slope of the beam at a distance
from the left end is _____ (rounded off to three decimal places). 
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You can attempt this question now. Sign in to view the answer key, explanations and discussion.Log in to check answerQuestion 68
Open questionXE-DMCQ1 markNeeds review
The Mohr’s circle corresponding to an infinitesimal element is shown in the figure. The plane PQ in the infinitesimal element, at an angle of
from the x-axis, is in a state of pure shear.Which one of the following values of
(in degrees) is CORRECT? 
Your answerChoose one option.
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Open questionXE-DMCQ1 markNeeds review
The two-dimensional state of stress, in an infinitesimal element, is given by
,
and
.Which one of the following options is the maximum shear stress (in MPa) in the element?
Your answerChoose one option.
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Open questionXE-DNAT1 markNeeds review
Consider a beam with a square box cross-section as shown in the figure. The outer square has a length of 10 mm. The thickness of the section is 1 mm.
The area moment of inertia about the x-axis is _____ mm
(in integer). 
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Open questionXE-DNAT1 markNeeds review
For a certain linear elastic isotropic material, the Young’s modulus is 140 GPa and the shear modulus is 50 GPa.
The Poisson’s ratio for the material is _____ (rounded off up to two decimal places).
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Open questionXE-DNAT1 markNeeds review
A force of
N is applied at the ends of the pliers as shown in the figure.Neglecting friction, the force exerted by the upper jaw on the workpiece is _____ N (in integer).
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Open questionXE-DMCQ2 marksNeeds review
Which one of the following vertical columns, of circular cross-section, sustains the highest load without buckling?
Your answerChoose one option.
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Open questionXE-DMCQ2 marksNeeds review
A closed thin cylindrical tank with a mean diameter d = 300 mm and thickness t = 2 mm, is subjected to a uniform internal gas pressure p. The allowable shear stress on the curved wall of the tank is 70 MPa.
Based on the Tresca criteria, which one of the following options for the maximum safe value of p (in MPa) is CORRECT?
Your answerChoose one option.
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