Analysis on a plate with a hole

Aim:To perform static analysis on two model of plate with holes.

Introduction:Static stress analysis is arguably the most common type of structural analysis using FE method. Stress, strain and deformation of a component or assembly can be investigated under a range of load conditions to ensure that expensive failures are avoided at the design stage.

Structural loads are typically one, or a combination, of the following:

• External forces such as clamping force in subsea connectors.
• Surface loads, e.g. pressure loading in pressure vessels
• Body forces (gravity, acceleration such as centrifugal force in rotating machines)..

Problem Statement:Perform a static analysis on two models of plate with holes. We will have to create the model in Solidworks and perform the analysis.

Apply a fixed relation to one of the short side of the plate and apply a force of 1000N on the other such that the plate is stretched.

Run the analysis and compare the results for stress, strain and displacement.

Case I: Plate with a single hole.Dimensions for this case are:

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

Material=Alloy Steel

Static Analysis:

Fixed end and load applied on model: Load of 1000N is applied on one face.

Meshed Model :Default mesh is used in this.

Result of analysis:Static stress,displacement and strains are obtained:

Case II: Plate with three holes.Dimensions of this case are:

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.

Material=Alloy steel

Static Analysis:

Fixed end and load applied on model: Load of 1000N is applied on one face.

Meshed Model :Default mesh is used in this.

Result of analysis:Static stress,displacement and strains are obtained:

Procedure:Same for both cases:

1.First with the help of given dimension the model is created.Material is Alloy steel for both the cases.

2.Then One side of the plate is fixed and on the other side a tensile load of 1000N is applied.

3.Meshing is done Default mesh is used in both cases.

4.Finally after running the analysis the results are obtained for both cases.

Result: After the comparison of both the result it was found thatin case I the displacement is less as compared to caseII.So we can say that the single hole plate is more safe.

And also the stress in the case 1 is less as compared to caseII.

Parameters	Case I (Max)	Case II (Max)
1.Von misses Stress	1.179e+06 N/mm^2	1.133e+06 N/mm^2
2.Displacement	5.237e-04 mm	5.657e-04 mm
3.Strain	4.277e-06	4.060e-06