Consider a prismatic straight beam of length L = π m, pinned at the two ends as shown in the figure. The beam has a square cross-section of side p = 6 mm. The Young's modulus E = 200 GPa, and the coefficient of thermal expansion α = 3 × 10⁻⁶ K⁻¹. The minimum temperature rise required to cause Euler buckling of the beam is ________ K.

GATE 2019 Mechanical Engineering Q40 — Mechanical Engineering

GATE 2019Set 1Q40NATanswer keyexplanation soonmedium

Mechanical Engineering · Strength of Materials - Buckling

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Figure from the original GATE 2019 paper. (IIT Madras archive)

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

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Euler bucklingthermal expansionpinned endsbeam