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The truss shown in the figure has four members of length $\text{l}$ and flexural rigidity $\text{EI}$, and one member of length $l\sqrt{2}$ and flexural rigidity $\text{4EI}$. The truss is loaded by a pair of forces of magnitude $\text{P}$, as shown in the figure.

       

The smallest value of $\text{P}$, at which any of the truss members will buckle is 

  1. $\dfrac{\sqrt{2}\pi ^{2}EI}{l^{2}} \\$
  2. $\dfrac{\pi ^{2}EI}{l^{2}} \\$
  3. $\dfrac{2\pi ^{2}EI}{l^{2}} \\$
  4. $\dfrac{\pi ^{2}EI}{2l^{2}}$
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