If the actual length of a Euler's column with both ends fixed is L, then, the effective length of that column will be:

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OSSC JE Civil Mains Official Paper: (Held On: 16th July 2023)
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  1. L
  2. 2L
  3. 0.5L
  4. 0.7L

Answer (Detailed Solution Below)

Option 3 : 0.5L
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Concept:

Euler’s critical buckling load \(\left( {{P}_{e}} \right)=\frac{{{\pi }^{2}}\cdot E\cdot {{I}_{min}}}{L_{e}^{2}}\)

Where, Imin = minimum area moment of Inertia, E = young’s modulus of elasticity, Le = Equivalent length = L ⋅ α

α for different loading conditions are different

F1 M.J Madhu 11.02.20 D 12

 

 F2 Abhayraj 15-01-21 Savita D5

Effective length of column (Le) \(=\dfrac{\ell}{2}\) = 0.5 L

 

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