> For the complete documentation index, see [llms.txt](https://docs.enercalc.com/llms.txt). Markdown versions of documentation pages are available by appending `.md` to page URLs; this page is available as [Markdown](https://docs.enercalc.com/e3d-user-manual/model-entities/toc175916832/toc161394044.md).

# Combining Element In-Plane and Out-of-Plane Stiffness Matrices

Understand how the in-plane and out-of-plane stiffness matrices combine to form the shell element stiffness in ENERCALC 3D.

The shell element stiffness matrix is the combination of the in-plane and out-of-plane stiffness matrices. In order to avoid singularity of the stiffness matrix, a very small “fictitious” stiffness is added to the diagonal term associated with the local DOF Doz.


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