Square Plate Subjected to Force at Center (surface)

Square Plate Subjected to Force at Center

Let us consider a rigidly supported plate subjected to a force applied at the center.
Only a quarter of the plate is analyzed due to symmetry conditions on the corresponding edges (restrained displacements in the direction of axis of the local coordinate system normal to the face plane).

Square Plate Subjected to Force at Center

The finite element model with applied loads and restraints

Input data and analytical solution can be viewed here.
After carrying out calculations with the help of AutoFEM, the following results are obtained:

Table 1.Parameters of finite element mesh

Finite Element Type	Number of Nodes	Number of Finite Elements
linear triangle	676	1250

Table 2.Result "Displacement, OZ"*

Numerical Solution Displacement OZ w*, m	Analytical Solution Displacement w, m	Error δ = 100% * \|w* - w\| / \|w\|
5.3715E-004	5.3557E-004	0.3

Square Plate Subjected to Force at Center, Result "Displacement, magnitude" of finite element analysis

*The results of numerical tests depend on the finite element mesh and may differ slightly from those given in the table.