Stress Concentration on a Plate with hole

AIM :

To perform static structural analysis to determine the stress concentration on a plate with and without holes.

GIVEN :

For Case 1 :

Length=300mm
Height=120mm
Thickness=30mm
Circular Hole at the center:
Diameter=60mm

For Case 2 :

Length=300mm
Height=120mm
Thickness=30mm
Circular Hole at the center:
Diameter=60mm

Smaller holes 90mm away with Dia. = 30mm

PROCEDURE :

1. Insert the material as Structural steel in the engineering data.
2. The above solids are designed with the appropriate dimensions.
3. In the modelling tab, we mesh the geometry with element size of 3mm and method for solving as tetrahedron element type and the mesh is generated from right click drop box
   
   
   
4. Meshing of CASE 1 and CASE 2 :
   
   CASE 1 :
   
   
   
   CASE 2 :
   
   
   
   
   
5. Now defind the Fixed support at one end and 500N of Force at the other end :
   
   CASE 1 :
   
   
   
   
   CASE 2 :
   
   
   
   
   
   
6. Solving it for Total Deformation and Equivalent stress we get the following results :
   
   TOTAL DEFORMATION :
   
   CASE 1 :
   
   
   
   CASE 2 :
   
   
   
   
   
   EQUIVALENT STRESS :
   
   CASE 1 :
   
   
   
   CASE 2 :
   
   
   

RESULT :

	ONE HOLE	THREE HOLES
Total Deformation (MAX)(mm)	0.00027494	0.00029732
Total Deformation(MIN)(mm)	0	0
Equivalent Stress(MAX)(MPa)	0.60346	0.57969
Equivalent Stress(MIN)(MPa)	0.011913	0.00092825

From analysis point of view, we can choose the plate with three holes because the abount of stress induced on the solid is less compared with the plate with one hole. And also there is neglegible difference between the total deformation of one hole vs three hole plate.

From manufacturing point of view, we can choose the plate with one hole because if we consider the plate with three holes, the production cost will be higher due to the no. of holes in them.