Analysis on a plate with a hole
Objective: To analyze the plate with a hole, one with one hole at the center and other with three holes. Also, compare the result of both the plate, like stress, displacement, and strain.
Introduction:
Here we have two different plates with the same dimension but with the different number of holes. Both the plate have the same material as Alloy steel.
Here my sorter side is fixed and I applied the 1000 N force to opposite to the fixed support side.
properties of alloy steel:
|
Name: |
Alloy Steel |
|
Model type: |
Linear Elastic Isotropic |
|
Default failure criterion: |
Max von Mises Stress |
|
Yield strength: |
6.20422e+08 N/m^2 |
|
Tensile strength: |
7.23826e+08 N/m^2 |
|
Elastic modulus: |
2.1e+11 N/m^2 |
|
Poisson's ratio: |
0.28 |
|
Mass density: |
7700 kg/m^3 |
|
Shear Modulus: |
7.9e+10 N/m^2 |
Procedure :
Case: 1 (Plate with one center Hole)
dimension Of plate:
Length=300mm
Height=120mm
Thickness=30mm
Circular Hole at the center:
Diameter=60mm
The body is treated as a solid body
|
Volumetric Properties |
|
Mass:7.66286 kg Volume:0.000995177 m^3 Density:7700 kg/m^3 Weight:75.0961 N |
Study Properties:
|
Study Name |
Static 1 |
|
Analysis type |
Static |
|
Mesh type |
Solid Mesh |
|
Thermal Effect: |
On |
|
Thermal option |
Include temperature loads |
|
Zero strain temperature |
298 Kelvin |
|
Include fluid pressure effects from SOLIDWORKS Flow Simulation |
Off |
|
Solver type |
FFEPlus |
The figure of the plate with a single hole with boundary condition and mesh.
Mesh Information:
|
Mesh type |
Solid Mesh |
|
Mesher Used: |
Standard mesh |
|
Automatic Transition: |
Off |
|
Include Mesh Auto Loops: |
Off |
|
Jacobian points |
4 Points |
|
Element Size |
6 mm |
|
Tolerance |
0.3 mm |
|
Mesh Quality Plot |
High |
|
Total Nodes |
46733 |
|
Total Elements |
30939 |
|
Maximum Aspect Ratio |
5.196 |
Resultant Force:
|
Selection set |
Units |
Sum X |
Sum Y |
Sum Z |
Resultant |
|
Entire Model |
N |
-1000 |
0.00552917 |
-0.00391918 |
1000 |
Result Of the FEA study:
|
Name |
Type |
Min |
Max |
|
Stress |
VON: von Mises Stress |
0.041 N/mm^2 (MPa) Node: 45964 |
1.210 N/mm^2 (MPa) Node: 28242 |
|
|
|||
|
Name |
Type |
Min |
Max |
|
Displacement |
URES: Resultant Displacement |
0.00000 mm Node: 131 |
0.00052 mm Node: 1195 |
|
Name |
Type |
Min |
Max |
|
Strain |
ESTRN: Equivalent Strain |
0.000000244 Element: 9974 |
0.000004480 Element: 7102 |
|
|
|||
Case 2: Plate with three Holes
Dimension:
Length=300mm
Height=120mm
Thickness=30mm
Circular Hole at the center:
Diameter=60mm
Two holes of 30 mm diameter which are placed 90mm away from the central hole on both sides.
The body is treated as Solid.
|
Volumetric Properties |
|
Mass:7.33629 kg Volume:0.000952765 m^3 Density:7700 kg/m^3 Weight:71.8957 N |
Study Properties:
|
Study Name |
Static 1 |
|
Analysis type |
Static |
|
Mesh type |
Solid Mesh |
|
Thermal Effect: |
On |
|
Thermal option |
Include temperature loads |
|
Zero strain temperature |
298 Kelvin |
|
Include fluid pressure effects from SOLIDWORKS Flow Simulation |
Off |
|
Solver type |
FFEPlus |
The figure of the plate with three holes, with boundary condition.
The figure of the plate with three hole mesh.
Mesh information :
|
Mesh type |
Solid Mesh |
|
Mesher Used: |
Standard mesh |
|
Automatic Transition: |
Off |
|
Include Mesh Auto Loops: |
Off |
|
Jacobian points |
4 Points |
|
Element Size |
6 mm |
|
Tolerance |
0.3 mm |
|
Mesh Quality Plot |
High |
|
Total Nodes |
46886 |
|
Total Elements |
30866 |
|
Maximum Aspect Ratio |
4.2595 |
Resultant Force :
|
Selection set |
Units |
Sum X |
Sum Y |
Sum Z |
Resultant |
|
Entire Model |
N |
-999.982 |
-0.00258097 |
0.00269872 |
999.982 |
Study Result:
|
Name |
Type |
Min |
Max |
|
Stress |
VON: von Mises Stress |
0.003 N/mm^2 (MPa) Node: 46560 |
1.165 N/mm^2 (MPa) Node: 219 |
|
Name |
Type |
Min |
Max |
|
Displacement |
URES: Resultant Displacement |
0.00000 mm Node: 292 |
0.00057 mm Node: 372 |
|
Name |
Type |
Min |
Max |
|
Strain |
ESTRN: Equivalent Strain |
0.000000037 Element: 8396 |
0.000004301 Element: 21681 |
Result:
|
Case No. |
Maximum stress (Mpa) |
Maximum Displacement (mm) |
Maximum strain |
Weight (Kg) |
|
1 |
1.210 |
0.00052 |
0.000004480 |
7.66286 |
|
2 |
1.165 |
0.00057 |
0.000004301 |
7.33629 |
Conclusion:
Here we can see that in the single hole plate stress are higher than the three plate hole, In the three holes, plate stress is distributed in the hole so we got the less stress in that. Here Hole has realized the stress in the plate as hole increases stress is reduced.
But the displacement is higher in the case of the three plate hole. that's why the higher chance of the failure in this type of plate.