SkyCiv Documentation

Your guide to SkyCiv software - tutorials, how-to guides and technical articles

TechNotes

  1. Home
  2. TechNotes
  3. S3D Plate Verification Models
  4. Rectangular Plate Bending – Fixed at Corners

Rectangular Plate Bending – Fixed at Corners

Model Details and Parameters

The purpose of this test case is to validate the plate/shell element solver in SkyCiv Structural 3D (S3D). The results were compared against a third-party analysis software. In this test case the following model parameters were used:

  • Analysis Type: Linear Static
  • Material: Structural Steel
  • Young’s Modulus: 200,000 MPa
  • Poisson’s Ratio: 0.27
  • Plate Type: Mindlin Plane Stress
  • Plate Size: 2m x 1m
  • Plate Thickness: 10 mm
  • Corner Supports: FFFFFF (Fixed)
  • Pressure Load: 1 kPa normal to plate

fixed-at-corners-model

Results – 8×4 Structured Mesh

Result Location SkyCiv Third-Party 1 Difference 1 Third-Party 2 Difference 2
Max Displacement Z (mm) Node 8 (center of longer edge) -5.69238 -4.37686 30.06% -5.69238 0.00%
Max Von Mises Stress – Element (MPa) Element 1 Top 15.73128 17.09678 -7.99% 15.73128 0.00%
Reaction Z (kN) Node 1 0.50000 0.50000 0.00% 0.50000 0.00%
Reaction Moment Y (kN-m) Node 1 -0.10862 -0.12947 -16.10% -0.10862 0.00%
Min Moment XY – Element (kN-m/m) Element 2 -0.06800 -0.08874 -23.37% -0.06800 0.00%

Results – 16×8 Structured Mesh

Result Location SkyCiv Third-Party 1 Difference 1 Third-Party 2 Difference 2
Max Displacement Z (mm) Node 12 (center of longer edge) -6.46124 -5.41539 19.31% -6.46124 0.00%
Max Von Mises Stress – Element (MPa) Element 1 Top 37.97616 39.13067 -2.95% 37.97616 0.00%
Reaction Z (kN) Node 1 0.50000 0.50000 0.00% 0.50000 0.00%
Reaction Moment Y (kN-m) Node 1 -0.09903 -0.11470 -13.66% -0.09903 0.00%
Min Moment XY – Element (kN-m/m) Element 1 -0.21176 -0.23954 -11.60% -0.21176 0.00%

Results – Unstructured Mesh

Result Location SkyCiv Third-Party 1 Difference 1 Third-Party 2 Difference 2
Max Displacement Z (mm) Node 12 (center of longer edge) -6.89866 -5.69793 21.07% -6.89991 -0.02%
Max Von Mises Stress – Element (MPa) Element 204 Top 53.44921 54.29362 -1.56% 52.96061 0.92%
Reaction Z (kN) Node 1 0.49931 0.50013 -0.16% 0.49938 -0.01%
Reaction Moment Y (kN-m) Node 1 -0.09257 -0.10936 -15.35% -0.09259 -0.02%
Min Moment XY – Element (kN-m/m) Element 1 -0.31325 -0.35302 -11.27% -0.31326 0.00%

Extra Considerations

  • This verification model was created and checked on 28 February 2020. Since this date, the plate solver and S3D software may have been further improved to achieved greater accuracy.
  • Plates are not exact elements like beam and frame elements and therefore the mesh plays a huge role in the results. Always try to use a structured mesh when it is possible to do so.
  • Results between software will never be exactly the same since different elements are used and the nature of plates are approximate
Was this article helpful to you?
Yes No

How can we help?

Try SkyCiv Today

Structural Analysis Software free signup widget. SkyCiv Structural Design Software.

Powerful, web-based Structural Analysis and Design software

Go to Top