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90 Degree Angle Cantilever Plate with Pressures

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: 1m x 1m (2 perpendicular plates as shown below)
  • Plate Thickness: 10 mm
  • Supports: FFFFFF (Fixed)
  • Pressure Load: 1 kPa normal to each plate

90-degree-plate-model

Results – 10×10 Structured Mesh

Result Location SkyCiv Third-Party 1 Difference 1 Third-Party 2 Difference 2
Max Displacement X (mm) Node 182 45.24319 45.12044 0.27% 45.24191 0.00%
Min Displacement Y (mm) Node 182 -21.38935 -21.33616 0.25% -21.38959 0.00%
Max Von Mises Stress – Element (MPa) Element 41 Top 54.59404 54.57040 0.04% 54.59553 0.00%
Max Membrane Force XY – Element (kN/m) Element 191 1.44765 1.58012 -8.38% 1.35792 6.61%

Results – Unstructured Mesh

Result Location SkyCiv Third-Party 1 Difference 1 Third-Party 2 Difference 2
Max Displacement X (mm) Node 67 45.20802 45.13434 0.16% 45.21231 -0.01%
Min Displacement Y (mm) Node 67 -21.38110 -21.34682 0.16% -21.38219 -0.01%
Max Von Mises Stress – Element (MPa) Element 77 Top 55.55107 54.09966 2.68% 55.52990 0.04%
Max Membrane Force XY – Element (kN/m) Element 288 1.73661 1.88023 -7.64% 1.65164 5.14%

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
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