The truss shown in the figure has four members of length l and flexural rigidity EI, and one member of length $l\sqrt 2$ 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

Question

The truss shown in the figure has four members of length l and flexural rigidity EI, and one member of length $l\sqrt 2$ 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

TuteeHUB · Accepted Answer

$\frac{{{\pi ^2}EI}}{{2{l^2}}}$

TuteeHUB · Answer

$\frac{{\sqrt 2 {\pi ^2}EI}}{{{l^2}}}$

TuteeHUB · Answer

$\frac{{{\pi ^2}EI}}{{{l^2}}}$

TuteeHUB · Answer

$\frac{{2{\pi ^2}EI}}{{{l^2}}}$

1.	The truss shown in the figure has four members of length l and flexural rigidity EI, and one member of length \(l\sqrt 2\) 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
A.	\(\frac{{\sqrt 2 {\pi ^2}EI}}{{{l^2}}}\)
B.	\(\frac{{{\pi ^2}EI}}{{{l^2}}}\)
C.	\(\frac{{2{\pi ^2}EI}}{{{l^2}}}\)
D.	\(\frac{{{\pi ^2}EI}}{{2{l^2}}}\)
Answer» D. \(\frac{{{\pi ^2}EI}}{{2{l^2}}}\)

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