Analysis on a plate with hole

Aim: Design and Analysis on a plate with a Hole.

Objective:

To compare the performance of 2 separate plates with different hole geometries (see Figure 1) by performing a static structural analysis using Solidworks Simulation and determine and plot the Von Mises Stresses, Strain and Displacement and compare findings.

Figure 1: Case 1 (Plate with 7 X 60 mm hole) and Case 2 (Plate with 1X 60 mm and 2x 30 mm holes)

Tools used:

Solidworks Simulation module

Pre-requisites:

The 2 plates with different hole profiles are modeled in Solidworks using the Solid modeling tools

Boundary conditions:

Part type= Plate with holes

Material = Alloy Steel (See figure 2 for Material properties)

Tensile load =1000 N (pulling on one of the shorter sides of the plate - 120 mm X 30 mm surface)

Figure 2. Material properties of Alloy steel

Experiment 1: Rectangular plate with 1X 60 mm hole

Setup: A new Static study was created in Solidworks Simulation.

Boundary conditions: Alloy steel was applied as the material, one of the 120 mm X 30 mm face is fixed and a tensile load is applied on the opposite 120 mm X 30 mm face so that it stretches the plate

Mesh: A mesh size of 3 mm is chosen and applied

Results: The mesh is applied and the simulation is run. The plots are generated and compared. The results are tabulated in the results section of the report.

Figure 03 : Case 1 plate mesh ( mesh element size = 3 mm)

Figure 4: Stress, Strain and Displacement comparison for case 1

Experiment 2: Rectangular plate with 1X 60 mm and 2x 30 mm hole

Setup: A new Static study was created in Solidworks Simulation

Boundary conditions: Alloy steel was applied as the material, one of the 120 mm X 30 mm face is fixed and a tensile load is applied on the opposite 120 mm X 30 mm face so that it stretches the plate

Mesh: A mesh size of 3 mm is chosen and applied.

Results: The mesh is applied and the simulation is run. The plots are generated and compared. The results are tabulated in the results section of the report.

Figure 05 : Case 2 plate mesh ( mesh element size = 3 mm)

Figure 6: Stress, Strain and Displacement comparison for case 2

Results:

These results are obtained from the comparative plots as shown in figures:

SI NO Description Rectangular plate with Rectangular plate with

1 hole 3X hole

1 Yield Strength 6.204 X 10⁸ 6.204 X 10⁸

(N/mm²)

2 Max. Von Mises Stresses 1.211 X 10⁶ 1.164 X 10⁶

(N/mm²)

3 Max. Strain 4.665 X 10^-6 4.477 X 10^-6

(no unit)

4 Max Displacement 0.00052 0.00057

(mm)

5 Mass(g) 7662.86 7336.29

Observations:

1. The 2 rectangular plates havę very similar characteristics as far as maximum Von-Mises stresses, maximum strain and maximum displacement are considered,
2. The plate with 3 holes has an almost negligible higher displacement value by the order of 0.00005 mm.
3. The plate with one hole experiences more stresses and this leads us to conclude that the Increased number of holes act as stress relief features