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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 a .
If the beam is slowly and uniformly heated, the temperature rise required to cause the beam to buckle is proportional to
  • a)
    d
  • b)
    d2
  • c)
    d3
  • d)
    d4
Correct answer is option 'B'. Can you explain this answer?
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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 a .If the beam is slowly and uniformly heated, the temperature rise required to cause the beam to buckle is proportional toa)db)d2c)d3d)d4Correct answer is option 'B'. Can you explain this answer?
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