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You can calculate the effective buckling length of the compression
member by taking into consideration the out-of-plane bending stiffness
of the tension rod.
Assume that the compression member is pinned at both end and restrained
with an equivalent spring (representing the out of plane bending
stiffness) at mid point. You can also consider the strain hardening
effect of the tension member by using P-delta analysis .   

Best Regards

Bulent Deveci

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