Reference problem ===================== Geometry --------- .. image:: images/100000000000052C00000246AD71FCBE068FC2A0.png :width: 4.9327in :height: 2.1681in .. _RefImage_100000000000052C00000246AD71FCBE068FC2A0.png: The dimensions of the beam are: * Length :math:`L=10m` * Width :math:`l=1m` * Thickness :math:`e=\mathrm{0,1}m` Material properties -------------------- The material has two possible behaviors. In flexure, linear isotropic elasticity: * Young's module: :math:`E=\mathrm{1,0}\times {10}^{7}\mathit{Pa}` * Poisson's ratio: :math:`\nu =0.3` In traction, von Mises plasticity at linear isotropic work hardening: * Young's module: :math:`E=210\mathit{GPa}` * Poisson's ratio: :math:`\nu \mathrm{=}0.3` * Elastic limit: :math:`{\sigma }_{y}=3\mathit{MPa}` * Work hardening slope: :math:`H=2\mathit{GPa}` Boundary conditions and loads ------------------------------------- Boundary conditions: Embedment on the left side :math:`\mathit{DX}=\mathit{DY}=\mathit{DZ}=0` in flexure and traction Flexural loading: surface loading FORCE_FACE such as :math:`\mathit{FZ}=400N{m}^{-2}` on the right side Traction loading: surface loading FORCE_FACE such as :math:`\mathit{FX}=\mathrm{1,0}\times {10}^{7}{\mathit{Nm}}^{-2}` on the right side