3.1 Exercise: Analysis of a plate with a hole
This is a simple problem with a known solution. It consists of a tensile-loaded thin plate with a central hole. Because of symmetry we need only model a quarter of the plate. The full plate is 1.0 m × 0.4 m with a thickness of 0.01 m. The central hole has a diameter of 0.2 m.
The plate is made of steel with a Young’s modulus of 2.07×10 11 N/m 2 and a Poisson’s ratio of 0.29. The horizontal tensile loading is in the form of pressure of 1.0 Pa (N/m 2 ), along the vertical edge of the full plate.
Interactive time required
60 to 70 minutes
Solid modelling, including primitives, Boolean operations, meshing and refinement.
Summary of steps
- Specify title
- Define parameters to be used for geometry input
- Set preferences
- Define element types
- Element options
- Define material properties
- Create rectangular area
- Create circular area
- Subtract hole from plate
- Mesh the area with a default mesh
- Apply displacement constrains
- Apply pressure load
- Plot the deformed shape
- Plot the element stress in the x-direction
- Refine mesh
- Refine mesh near hole
- Re-introduce the loads
- Read in the new data set and plot the element stress in the x-direction
- Exit the program.