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Elastic Stiffness Matrix

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Total number of DOFs of a member is the summation of DOFs of the two nodes.  Therefore, for a 3D beam, the stiffness matrix is of size 12 x 12.  The elastic stiffness matrix in the local coordinate system with shear deformation is given [Ref. 8] as follows:

 

clip0018

 

where: clip0019;clip0020 ; clip0021   ; clip0022 ; clip0023  

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