Clamped Square Plate Under a Uniformly Distributed Load

Let us consider a clamped square plate under a pressure.
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 coordinate system normal to the face plane & rotations allowed only around the normal).

Clamped Square Plate Under a Uniformly Distributed Load, the finite element model with applied loads and restraints

The finite element model with applied loads and restraints

Input data and analytical solution for the deflection in the center of the plate 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	1089	2048

Table 2.Result "Displacement, OZ"*

Numerical Solution Displacement OZ w*, m	Analytical Solution Displacement w, m	Error δ = 100% * \|w* - w\| / \|w\|
1.2346E-004	1.2288E-004	0.47

Clamped Square Plate Under the Uniform Load, Result "Displacement, magnitude"

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