Question

In the structural system all the elements work in axial load; knowing that \(I_{2}=\left.2\I_{1}\)

a) Determine the critical load on each element.

> Determine the critical buckling load

Answer 1

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F EI ΕΙ, ΕΙ, 3 2a a

solution O F B At 20 a e tane At gointe 0:45° F E Foto F Cos45= F2 Los45 45 F, F = F2 A 三 Ergo f sinas+ F2 sin 45 =-f & -F 2 F = F2 = 77 F, *ta + Fox Ta --F > 5,= F2 (C) At joints' F T 元 *)455 4 E Faro o F3 = £ cos45= 16 ) by

For member o L=529 for both ends pinned connection, ettoctive length, Lozlovca va .: Critical buckling load Penamba (120)2 / Per = x²E1 2 12 ($2a)2 F = TEA²ES, az for member both ends are pinned connection & Effective length, be 210x 210x L 2- Leal . .: Critical buckling load A2 E12 Petra 2 Le

3 YRR EI, Pera = x2x2 EI, (12a)? 2012 x² E II F Pera az 2 va aZELI @ a² for member for one and tixed and other end pinned comection, eftective length, Le = 0.70x4 - 60-70x29) critical buckling load Pers 12 를 틀 (0.702 (² a2EF F AZ EI3 le K² EII 볼 2 Perz 0.70 2 x 4 92 P F x² ES, Pera 2 1.9692 1.02 x ² EI, a2 1.020² ET, .:: FMinimum of 0.®¢3 92