consider a column that is fixed at the base and which is pinned at the top....

consider a column that is fixed at the base and which is pinned at the top. The differential equation for this system is
d^2v/dx^2 + k^2v= R/El ( L -x);k^2=P/EI
it is known that the smallest critical load is
P1= 20.19EI/ L^2.
for this system determine the second smallest critical load P2 and express this as the numerical ratio P2/P1.

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consider a column that is fixed at the base and which is pinned at the top....

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