Contrib:KeesWouters/staticshell
Static behaviour of rectangular plate
The dynamics of a rectangular plate can be predicted quite well with shell (coque_3d) elements. I also liked to know the accuracy of the displacements for this kind of structures. A comparison between solid elements and shell elements has been made.
Dimensions of the plate The length and width of the plate are 1*1 m. The thickness of the shell elements has been increased to 0.02 m to enable meshing with solid elements (tetrahedrons and hexahedrons).
Boundary conditions and load Two types of boundary conditions have been given:
- clamped at one side (all displacements and rotations are suppressed)
- clamped at the four sides (all displacements and rotations are suppressed)
The load of the structure is a pressure of 0.1 bar on the surface of the plate
Material properties The The Young's module and poisson ratio for steel are set to 210 GPa and 0.28.
Displacement at the tip using beam theory
According to the 'vergeetmenietjes' (which I always forget) the displacement of a beam the tip under uniform loading is:
w = q*L^4/(8*E*Ixx)
- q = 10000 Pa
- L = 1 m
- E = 2.1e11 Pa
- nu = 0.28
- Ixx = b*th^3/12 = 1*0.02^3/12 = 6.67e-7 m4
- w = 0.000833 m
