Analysis of deformation and stress developed on a Plate with hole using ANSYS

OBJECTIVE:- To compare the deformation and stress developed in the plate with holes in ANSYS.

Case :1 Design a plate with a hole model similar to what we worked in the class, but with increased thickness. Determine the maximum deformation and stress developed in the model.

Plate dimensions:

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

PROCEDURE:-

• Open Ansys Workbench and choose static structural.
• In the Engineering data, let the material be structural steel with default values.
• For the geometry, right-click and open SpaceClaim and draw the above figure using the options present under design and convert it to solid by using the pull option present under Design -> Edit and close SpaceClaim.

• Now in the workbench goto Model -> Edit, in the model window check the Geometry for the material and assign Structural Steel,

• In the mesh, right-click to insert -> method and choose the plate as geometry and method as Tetrahedron, now in the mesh provide the element size as 4 mm after that right-click to generate mesh.

• After generating mesh, in the static structural create the fixed support and force, apply the force value of 500N in the X-direction.

• After that right-click on the solution and click on solve and after solving again right-click to inset total deformation and equivalent (Von-Mises) and evaluate all results

RESULT:-

• Total deformation:-

• Equivalent Von-Mises:-

Case 2:

smaller holes 90mm away from the centre: Diameter=30mm
Boundary Conditions: Plate fixed at left face. Load of 500N on the right face.

PROCEDURE:-

• In the workbench create another Static Structural analysis.
• In the Engineering data, let the material be structural steel with default values.
• For the geometry, right-click and open SpaceClaim and draw the above figure using the options present under design and convert it to solid by using the pull option present under Design -> Edit and close SpaceClaim.

• Now in the workbench goto Model -> Edit, in the model window check the Geometry for the material and assign Structural Steel,

• In the mesh, right-click to insert -> method and choose the plate as geometry and method as Tetrahedron, now in the mesh provide the element size as 4 mm after that right-click to generate mesh.

• After generating mesh, in the static structural create the fixed support and force, apply the force value of 500N in the X-direction.

• After that right-click on the solution and click on solve and after solving again right-click to inset total deformation and equivalent (Von-Mises) and evaluate all results.

RESULT:-

• Total deformation:-

• Equivalent Von-Mises:-

COMPARISON:-

• Compare the deformation and maximum stress developed on a structural steel model for the 2 cases.

CASE	Plate With One Hole	Plate With Three Hole
Nodes	17376	19660
Elements	9441	10697
Total Deformation min (mm)	0	0
Total Deformation max (mm)	2.7484e-004	2.9713e-004
Equivalent Stress (Von-Mises) min (Mpa)	1.1478e-002	1.8028e-003
Equivalent Stress (Von-Mises) max (Mpa)	0.60357	0.58617

It can be observed that the stress is CASE 1 is 0.60357 MPa and in CASE 2 is 0.58617 Mpa, so CASE 1 experience more stress in comparison to CASE 2 while the deformation is small in case of CASE 1 i.e 2.7848e-004 mm in comparison to CASE 2 i.e. 2.9713e-004.

• From an analysis standpoint, which of the design will you select? Explain why?

Ans- From the analysis standpoint design of CASE 2:- plate with 3 holes should be selected as it experiences less stress and undergoes significant deformation when a load of 500 N is applied, also the three holes reduce the weight of the component.

• From a manufacturing standpoint, which of the design will you select? Explain why?

Ans- From the manufacturing standpoint design of CASE 1:- plate with one hole should be selected as it requires less machining process and time to generate only one hole of specific diameter in comparison to the other case where 3 holes of 2 different diameters are required. Also, there is no significant amount of change in deformation of the plate with one hole in comparison to the plate with 3 holes.

CONCLUSION:-

So, the structural analysis of both plates are performed in ANSYS and the stress and deformation are determined where the plate with 1 hole experiences a significant amount of stress with small deformation in comparison with the plate with 3 holes experiencing low stress but a significant amount of deformation.