1. Reference problem

1.1. Geometry

Coordinates of the points:

	\(A\)	\(B\)	\(C\)	\(D\)
\(x\)	\(3.\mathrm{cos}40°\)	\(3.\mathrm{cos}40°\)
\(y\)	\(3.\mathrm{sin}40°\)	\(3.\mathrm{sin}40°\)
\(z\)

1.2. Material properties

\(E=3.{10}^{10}\mathrm{Pa}\)

\(\nu =0.\)

\(\rho =2.0833{10}^{4}\mathrm{kg}/{m}^{3}\)

1.3. Boundary conditions and loads

Rigid diaphragm at each end: \(u=v=0\), \({\theta }_{z}=0\).

Loading 1: Force due to gravity \(g=–10m/{s}^{2}\)

Loading 2: Force shell load distributed vertical \({F}_{x}=–\mathrm{6250.N}\)

Two loads leading to the same solution are tested.