SS-V: 1030 Simply Supported Thin Plate

Test No. VS04 Obtain the displacement at the center of a simple supported thin plate for concentrated load and uniform pressure load.

Definition

A square plate simply supported on four edges (Figure 1) is subjected to the following loads (Figure 2):

  • uniform pressure
  • concentrated load

The units are IPS.

Because solid model is used, boundary conditions on supported edges are applied along middle lines of these edges (Figure 3).



Figure 1.


Figure 2.


Figure 3.
The material properties are:
Properties
Value
Modulus of Elasticity
1.7472e+7 psi
Poisson's Ratio
0.3

Results

The following table summarizes the displacement at the center [in].
  Theory (Kirchoff's Plate Bending Model) SimSolid % Difference
Uniform load 4.0620E-06 4.0700E-06 0.20%
Point load 1.1600E-05 1.1610E-05 0.09%

1 MacNeal, R.H., and Harder, R.L., A Proposed Standard Set of Problems to Test Finite Element Accuracy, Finite Elements in Analysis and Design, 1 (1985) 3-20.