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Consider a prismatic straight beam of length L = π m, pinned at the two ends as shown i n t he figure. The beam has a square cross-section of side p = 6 mm. The Young's modulus E = 20 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.
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- 1 K
- 3 K
- 4 K
- 2 K
Correct Option: A
Length of prismatic beam,
L = πm
Pth = Paxial
or αTEA = | L2 |
⇒ 3 × 10-6 × ∆T × 6 × 6 × 10-6
∆T = 1K