GATE Mechanical Engineering (ME) 2020 Shift 1 Solved Paper

Question : 39 of 65

Marks: +1, -0

The truss shown in the figure has four members of length I and flexural rigidity EI, and one member of length

1 √{2}

and flexural rigidity

4 {El} .

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

Solution:

By shifting force

P=\;{π^{2} E I}/{L^{2}}=\;{π^{2}(4 E I)}/{(√{2 L})^{2}}

P=\;{2 π^{2} E I}/{L^{2}}

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