Question: Find the critical loads P 1 , P 2 , P 3 and P 4 of the Frames 1 , 2 , 3 and 4

Find the critical loads P1,P2,P3 and P4 of the Frames 1,2,3 and 4 shown below
by using differential equation method. Show also the buckling shape of each frame.
The length and the flexural rigidity of all the members are L and EI, respectively.
Frame 1
Frame 2
Frame 3
Frame 4
Find the critical loads P 1 , P 2 , P 3 and P 4

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