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(Update a new question) Need Help! Bending beam under follower axial force

New question!

I want to explore the same problem in two-dimensional structure (e.g. thin plate).

According to Love simplification, the cross section rotates but the shear
deflection is neglected. This means the edge cross section is not
vertical actually. Can I still assume the shear force on the edge cross
section is always vertical?  e.g. free boundary condition on a circular plate under a concentrated in-plane edge force.

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