Test Academy | The truss shown in the figure has four members of length l and flexural rigidity EI, and one member of length l√2 and flexural rigidity 4EI. The truss is loaded by a pair of forces of magnitude P, as shown in the figure. The smallest value of P, at which any of the truss members will buckle is 2 π 2 E I l 2 , π 2 E I l 2 , 2 π 2 E I l 2 , π 2 E I 2 l 2

Question

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

The smallest value of P, at which any of the truss members will buckle is

Options :

$\frac{\sqrt{2} π^{2} E I}{l^{2}}$
$\frac{π^{2} E I}{l^{2}}$
$\frac{2 π^{2} E I}{l^{2}}$
$\frac{π^{2} E I}{2 l^{2}}$

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