Question: PDE - bending of thin plate

Hi everyone.

I'm trying to solve the following PDE

 

but I'm getting this error:

Error, (in pdsolve/numeric/process_IBCs) initial/boundary conditions can only contain derivatives which are normal to the boundary, got (D[1, 1](w))(x, 0)

The PDE represents the bending of a thin plate.

See File:

PDE-Problem.mw

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