2. Benchmark solution

2.1. Calculation method used for the reference solution

The reference solution [1] is a solution based on the theory of beams (non-deformation of the cross section), including or not including the effects of transverse shear.

2.2. Benchmark results

Move point \(A\) to \(Y\).

Move point \(A\) to \(Z\).

Loading (\(N\))	Reference (\(m\))
\({F}_{Y}=0\) \({F}_{Z}=1\)	\(\mathit{DY}=1.72\times {10}^{-3}\) \(\mathit{DZ}=5.424\times {10}^{-3}\)
\({F}_{Y}=1\) \({F}_{Z}=0\)	\(\mathit{DY}=1.754\times {10}^{-3}\) \(\mathit{DZ}=1.72\times {10}^{-3}\)

2.3. Uncertainties about the solution

Semi-analytical solution.

2.4. Bibliographical references

[1] J. L. Batoz and G. Dhatt, « Modeling structures by finite elements Volume.3: Shells », editions HERMES. Paris, France, 1992.

[2] HAMMADI Fodil: “Formulation and evaluation of finite elements with C° continuity of geometry for the linear and non-linear analysis of shells » PhD thesis, UTC, June 1998