Challenge

Week 1 Stress Concentration on a Plate with hole

Aim: To design a plate with a hole and determine the maximum deformation and stress developed in the model using Ansys Workbench.

Software used: Ansys Workbench 2020 R2

1. Plate with a hole:

  • Designed a plate with a hole in SpaceClaim and used material as Structural steel.

Mesh:

  • Created a mesh for the model as follows.

  • After creating a mesh, the boundary conditions were defined as fixed at the left side and applied 500 N load on the right side.
  • In the solution selected Total deformation and Equivalent stress.

Results:

Total deformation:

  • Maximum deformation is 0.00027493 mm

Equivalent stress:

  • Maximum stress developed on the plate is 0.59453 Mpa

2. Plate with three holes:

  • Designed a plate with three holes in SpaceClaim and used material as Structural steel.

Mesh:

  • Created a mesh for the model as follows.

  • After creating a mesh, the boundary conditions were defined as fixed at the left side and applied 500 N load on the right side.
  • In the solution selected Total deformation and Equivalent stress.

Results:

Total deformation:

  • Maximum deformation is 0.0002973 mm

Equivalent stress:

  • Maximum stress developed on the plate is 0.57291 Mpa

Comparison:

Maximum deformation (mm) Maximum stress developed (MPa)
Plate with a hole 0.00027493 mm 0.0002973 mm
Plate with three holes 0.59453 MPa 0.57291 MPa
  • From the comparison on both the cases the maximum deformation developed is in the plate with three holes, but the value difference is very small.

Conclusion:

  • The yield stress of structural steel is 250 MPa. As we see there is a very big difference. I would like to suggest choose the first case as the deformation is less compared to the second case for 500 N load.
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