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Pdelta analysis for an Arch member

Pdelta analysis for an Arch member

Pdelta analysis for an Arch member

(OP)
I am currently trying to model non-linear geometric effects (Pdelta analysis) using a FEM elastic model.  The model is for an arch member (in the vertical plane) consisting of 24 elements and is fixed at the supports.  The software I am using will not perform a pdelta analysis for a FEM.  The element forces vary along the arch due to self-weight, as well as loads at various locations along the member.

I would like to use an iterative approach to estimate the pdelta effects for the member.  My question is regarding how to estimate the pdelta effects for each element, that I will then apply to the model.  I'm familar with the incremental approach for columns of a building, and was using a similar method by applying point loads at the element nodes.  However, after a couple of iterations I realized this approach was incorrect.  Any help would be most appreciated.

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