An initially stress-free massless elastic beam of length L and circular cross-section with diameter d (d <<< L) is held fixed between two walls as shown. The beam material has Young's modulus E and coefficient of thermal expansion α. If the beam is slowly and uniformly heated, the temperature rise required to cause the beam to buckle is proportional to

GATE 2018 Mechanical Engineering Q39 — Mechanical Engineering

GATE 2018Set CombinedQ39MCQanswer keyexplanation soonmedium

Mechanical Engineering · Strength of Materials - Buckling

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Figure from the original GATE 2018 paper. (IIT Guwahati archive)

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Recurring concept

Strength of Materials - Buckling has appeared in GATE Mechanical Engineering 4 times across 2 years (2018, 2019).

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bucklingthermal expansionelastic beamstress