Stress Concentration on a Plate with hole
Objective: To design and perform static structural analysis on plate with hole and plate with three holes, compare the deformation and maximum stress developed on two models.
Procedure:
1. Create static structural standalone system in ANSYS Workbench and add structural steel in engineering data.
2. Firstly, open space claim in geometry and design a plate with one hole for case 1 and plate with 3 holes for case 2 based on the given dimensions.
Case 1 Plate Dimensions:
Length=300mm
Height=120mm
Thickness=30mm
and Circular Hole at the center: Diameter=60mm
Case 2 Plate Dimensions:
Length=300mm
Height=120mm
Thickness=30mm
and Circular Hole at the center: Diameter=60mm
Smaller holes 90mm away from center Diameter 30mm
3.Thereafter, open model and in geometry select static structural as material.
Model -> Geometry -> Material -> Assignment -> Static Structural
4. Mesh the geometry with element size 2mm, Insert method and select geometry and tetrahedrons for generating mesh.
Meshing of Plate with one hole (Case
Meshing of Plate with three holes (Case 2):
5. Insert Boundary conditions, select left face and make it as fixed support for both cases
Fixed support for case 1:
Fixed support for case 2:
6. Apply force of 500N on right face for the plate with one hole and plate with three holes.
7. For Solutions select Total deformation and Equivalent Stress and solve.
Total Deformation for case 1:
Total Deformation for case 2:
Equivalent Stress in Case 1:
Equivalent Stress in Case 2:
| Solution | Case 1 ( Plate with one hole) | Case 2 (Plate with three holes) |
| Total Deformation | ||
| Maximum | 0.00027492 mm | 0.00069518 |
| Minimum | 0 mm | 0 mm |
| Equivalent Stress | ||
| Maximum | 0.60573 MPa | 1.3584 MPa |
| Minimum | 0.0084761 MPa | 0.0032211 MPa |
Conclusion
Plate with three holes (Case 2) is more deformed than plate with one hole(Case 1)
Plate with three holes has induced more stress than plate with one hole.
From Analysis standpoint I will select case 2 because stresses are distributed throughtout the plate where as in case 1 stresses are concentrated more near hole.
From Manufacturing Standpoint case 1(plate with one hole) is easy to manufacture,where as it is complicated to manufacture case 2 (plate with three holes) when compared with case 1 (plate with one hole).