Finite element method for frames/beams

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mohamadh95
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I would like to know how to implement internal hinges in a program I'm developing. A hinge is created by changing the stiffness matrix of the beam. The problem is when two interconnected beams have a hinge at the same location, so basically we have a hinged joint, in this scenario I will obtain singularity in the stiffness matrix.
I'm mainly interested in hinged joint so is there another way to do it? Thank you
 
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I actually managed to find the solution. Consider the hinged joint as fixed in terms of rotation since the rotational degree of freedom of that joint is not free anymore.