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How to simplify the circular section to the 2-D plane strain problem

Hi friends, 

   I am calculating the bearing capacity of a circular footing on soil using the 3-Dimensional FE model. Meanwhile, I have seen some literature, in which they simplfied the 3-D model to 2-D plane strain model.  In their plane strain models, the footing has the same diameter with 3-D model.

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