Production and Industrial Engineering
GATE PI concept:bending PYQs
Build your understanding with focused practice from past exam papers.
How to practice concept:bending
Attempt a question, record the concept and assumptions, then check the available answer. Rework mistakes after revising the relevant concepts. Topic tags can overlap; review the question context.
Questions 1–6 of 6. Imported answers require independent review unless marked reviewed.
Question 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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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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You can attempt this question now. Sign in to view the answer key, explanations and discussion.Log in to check answerQuestion 10
Open questionPIMCQ1 markNeeds review
The figure shows two bodies connected through a riveted joint with one rivet. The diameter of the rivet is
(in m). The joint transmits a load of
(in N) whose line of action is perpendicular to and intersects the vertical axis of the rivet. Neglect any effect of bending of the rivet. If the allowable shear stress for the material of the rivet is
N/m
, the diameter of the rivet required to prevent failure in shear 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 29
Open questionPIMCQ2 marksNeeds review
The figure shows a beam of length
(in m) with a uniformly distributed transverse load of
(in N/m) acting over it. The width and depth of the beam cross section are
(in m) and
(in m), respectively. The magnitude of the maximum bending stress in the beam in N/m
is 
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Open questionPINAT2 marksNeeds review
The simply-supported beam shown in the Figure is loaded symmetrically using two equal point loads
. The radius of curvature of the deflection-curve is 15 m for the portion of the beam that is subjected to pure bending. The vertical deflection (in mm) at point M, equidistant from both the supports, is __________ (up to two decimal places).
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Open questionPIMCQ2 marksNeeds review
A solid circular shaft is subjected to a bending moment
and torque
simultaneously. Neglecting the effects of stress concentration, the equivalent bending moment is expressed asYour answerChoose one option.
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