Project

Analysis on a plate with a hole

VVarun Raj Dounjeghar14 Jul 2020

Objective: To perform a static analysis on two models of the plate with holes

Problem Statement:

The dimensions for the first case is as follows:

CASE 1

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

The dimensions for the second case is as follows:

CASE 2

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.

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

Theory:

Plate structure with holes is widely applied in engineering practices. The reason making holes on the plate could vary, some for installing bolts and other connectors, and others for reducing weight without mainly affecting mechanical properties.

A rectangular plate structure with a fixed left side and a tensile pressure on the right side. There is a circular hole in the center of the plate.

A rectangular plate with a central hole have initiate extensive practical applications in different fields of engineering such as aerospace, marine, automobile and mechanical and is well-known to most engineers. High stress due to discontinuity or abrupt change in geometry is known as stress concentration and is mostly set up at the edges of discontinuity. A stress concentration is typically introduced in plates in the form of circular holes. For the design of plate with a hole, proper knowledge of stresses and stress concentration factor (SCF) at the edge of hole under in plane loading are essential. In this project an attempt is made to review the investigations that have been made on the “stress analysis of a rectangular plate with circular hole”.

Study Setup:

Case 1

Create the part with the dimensions as shown above.

Use the new study option in the simulation add-in to create a new study.

Apply the material to the part i.e Alloy Steel.

Then fix the shortest end as shown above.

Then add a force on the face as shown above.

Create a mesh with required refinement as shown. Then use the mesh and run option.

Case 2:

Follow the same steps for the initial procedure as mentioned above.

Then fix the shortest end as shown above.

Then add a force on the face as shown above.

Create a mesh with required refinement as shown. Then use the mesh and run option.

Results:

Case 1:

The results for Stress, Strain, and Displacement are plotted as shown above.

Case 2:

The results for Stress, Strain, and Displacement are plotted as shown above.

Conclusion:

We can observe that as the no. of holes increase in the plate, the stress concentration decreases from the maximum stress as seen above. Also, the strain decreases as we increase the no. of holes increases.

The behavior of stress concentration factors of three holes located transversely on a flat plate, as expected, decreases as the relation between three times the diameter of the holes divided by the width of the plate increases; however this behavior doesn´t remain constant through the range but reaches a value which presents a inflection point and starts to increase, as shown in figure 3; this tendency may be due the weakening that suffers the plate in the zones near the upper and lower edges, and according with diameter of the hole increases, this region decreases and consequently the flow lines of stress in this area will be closer together.

The Simulation for static analysis on two models of the plate with holes is successfully run and the required plots are created.

References:

https://welsim.com/blogs/post/3JQ66SxB3y2vCLrex

https://www.researchgate.net/publication/315479705_Stress_Concentration_of_Rectangular_Plate_with_a_Hole_Made_With_Composite_Material_Using_Finite_Element_Analysis

Analysis on a plate with a hole

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in your own course.

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Ship work like thisin your own course.

Talk to a career counsellor

Ship work like this
in your own course.