Stress Concentration on a Plate with Hole
- Stress Concentration on a Plate with Hole
Introduction:For case 1,the structural analysis is carried on a plate with multiple holes.The material used here is Structural steel,with dimensions 100mm*100mm as length,with thickness about 15mm and hole of 20mm diameter.The plate is tested under static analysis.
case 1:
One side of the plate is provided with a fixed support while,side opposite to it is provided with a force of 1000N pulling in X-axis.Once we have done with Boundary conditions,we let Ansys mechanical solve the Mathematical model and inserting stress and deformation inputas per required.
Equivalent Stresses in a plate with hole,as shown above.
Here,we have found that a Maximum of 2.1604 MPA of stress is developed inside circular part of hole with Minimum of 0.070754 MPA.
Maximum and Minimum Stresses in a plate with hole,as shown above.
Similarly so far the Deformation is concerned,
Under Deformation condition a Maximum of 0.00038136 mm is Observed and a Minimum of 4.2373e-5mm.
Maximum and Minimum Deformation in a plate with hole,as shown above.
Here are the simulation clips given below for both Equivalent stresses and otal Deformation for a plate with hole Under Static Analysis.
Case 02: plate with multiple hole (increased thickness)
Facilities Provided:
For case 2,the structural analysis is carried on a plate with multiple holes.The material used here is Structural steel.We have dimensions as Length=300mm,Height=120mm
Thickness=30mm,Circular Hole at the center with Diameter=60mmtwo smaller holes 90mm away from the origin having a Diameter=30mm.
Now,the plate is first modelled using ANSYS spaceclaim whose Geometry is shown below.
Geometric Sketch of a plate with multiple holes.
Once we have the desirable geometry,we can Extrude the geometry into a solid model for further process to be carried out.
Solid Model of a plate with Multiple Hole.
Meanwhile,using ANSYS Mesher we Discretizes (MESH) the above solid that means breaking it into smaller finite elements.the below Meshed Object is having a Mesh Elemental size of 4mm and a patch conforming method using tetrahedrons was employed in order to get best refinement.
A mesh metric that identifies elements according to their quality was employed & it can be seen element of lowest quality are minimal.
Meshed Model
Then,we are provided with certain Boundary Conditions as Plate fixed at left face and a Load of 500N is acting on the right face.Using ANSYS Mechanical APDL we gave the inputs and Results were evaluated as follows
Results:
Equivalent Stresses on a plate with multiple holes
We found a maximum of 0.67835MPA & minimum of 0.0075322MPA Generated stresses
Similarly,so far the Total Deformation is Concerned,it is shown below
Results:
Total Deformation on a plate with multiple Holes with a 0.00059466mm as Maximum recorded deformation.
The above Structural Analysis can be percived through Animation clips,follow given links bellow:
Conclusion:
The analysis was run successfully.On comparision of Total Deformation experienced by model in both the cases it is seen that there is only 0.21mm of slight difference.
On comparision of Equivalent stresses experienced by model in two different cases,it had been observed that there is a difference of 0.08MPa is evident in the average value ofequivalent stresses.But the maximum and minimum values of the stresses experienced is much lesser that in case 2.
On the basis of these results,if the simulation are concerned case 2 can be chosen due to the fact that the stresses undergoes by the application of same amount of tensile forces is lesser.