Production and Industrial Engineering
GATE PI Applied Mechanics PYQs
Build your understanding with focused practice from past exam papers.
Questions 11–20 of 38. Imported answers require independent review unless marked reviewed.
Question 24
Open questionPIMCQ1 markNeeds review
A thin cylinder has length L, diameter d, and thickness
. It is made of a material with modulus of elasticity E and Poisson’s ratio
. When the cylinder is subjected to an internal pressure P, the change in length isYour answerChoose one option.
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Open questionPIMCQ2 marksNeeds review
A massless beam is fixed at one end and supported on a roller at other end. A point force P is applied at the midpoint of the beam as shown in figure. The reaction at the roller support is
Your answerChoose one option.
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Open questionPINAT1 markNeeds review
Yielding starts in a material when the principal stresses are 100 MPa, 100 MPa and 200 MPa. As per the von Mises criterion, yield stress (in MPa) of the material is____________. [round off to nearest integer]
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Open questionPIMCQ2 marksNeeds review
In the three-member truss shown in the figure, AC = BC. An external force of 10 kN is applied at B, parallel to AC. The force in the member BC is
Your answerChoose one option.
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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 46
Open questionPINAT2 marksNeeds review
A thick-cylinder has inner diameter of 20 mm and outer diameter of 40 mm. It is subjected to an internal pressure of 100 MPa. Follow the convention of taking tensile stress as positive and compressive stress as negative. The sum of radial and hoop stresses (in MPa) at a radius of 15 mm is____________. [round off to two 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 13
Open questionPIMCQ1 markNeeds review
A cantilever beam of length 0.3 m is subjected to a uniformly distributed load
kN/m, as shown in the figure. The bending (flexural) rigidity of the beam is 5000 Nm². Neglecting the self-weight of the beam, the magnitude of beam curvature in m⁻¹ at the fixed end is 
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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 14
Open questionPIMCQ1 markNeeds review
A circular rod of length
m is subjected to a compressive load
, as shown in the figure. The bending (flexural) rigidity of the rod is 2000 Nm
. If both ends are pinned, then the critical load
in N (rounded to the nearest integer) at which the rod buckles elastically is 
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Open questionPIMCQ1 markNeeds review
Two cylindrical parts of equal length
, as shown in the figure, made of steel having Young’s modulus
GPa and Poisson’s ratio
are press fitted upon one another. If radial interference
mm, and radii
mm and
mm, then the contact pressure
in MPa at the interface upon press fit is 
Your answerChoose one option.
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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 18
Open questionPINAT1 markNeeds review
A given steel has identical yield strength of 700 MPa in uni-axial tension and uni-axial compression. If the steel is subjected to pure shear stress such that the three principal stresses are
,
,
with
, then the stress
in MPa for the initiation of plastic yielding in the steel as per von Mises yield criterion is ____________. [round off to 2 decimal places]Log in to check the answer
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Open questionPINAT2 marksNeeds review
A 30 kg smooth, solid sphere rests on two frictionless inclines as shown in the figure. The magnitude of contact force in N acting at the point A is (take acceleration due to gravity g = 9.81 m/s² and consider both sphere and inclines to be rigid) ________. [round off to 2 decimal places]
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