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Finite Element Analysis

This is a comprehensive finite element study on an infinite plane in finding the stress concentration factor point A of the plane to obtain the longitudinal stress profile from the points adjacent to the hole. The study is also focused on giving the stress value in the point A of the plane. In doing the exercise, the convergence study of the element will be achieved. The method of analysis in this particular study is by ANSYS program. However, the method is compared to the Saint-Venant principle to create more clarity and credibility. Introduction FEA comprises of a computer representation of a design/material, which is stressed and examined for particular results. Finite element analysis is used in new product design, and accessible product elegance. A company is able to authenticate a recommended plans will be able to execute to the customer’s provisions prior to manufacture/ assembly. Modifying an existing product or structure is utilized to qualify the product or structure for a new service condition. In case of structural failure, FEA may be used to help determine the design modifications to meet the new condition. The complete logical explanation for the state of stress caused by a hole in a plate is essentially and relatively complex. Since the study is focused on providing the actual stress on the finite element, the relation of the Saint-Venant principle and the study is directly useful in the comparison of the used model in the study. The principle states that the strain in the bodies at points that are sufficiently remote from the points of the applied load depends on the static resultant of the loads and not the distribution of the load. This comes to the realisation that the stress produced is a resultant of the point loads. The stress concentration is an increase in the stress along the cross section area that can be discontinued in this case by a hole in the plate. For instant, the distribution of the stress if there was no hole in the plate will be non-uniform in the strain as the strain grows linear further away. In this study, the use of a quarter of the shape is used due to symmetry reasons. In this case, the solution is an analytical since the plate is infinite and large with a hole. Results from the simulation done will be compared with the solutions. Increasing the mesh density is useful to determine the closest solution to the problem. This is in line with making sure one knows the point of mesh refinement has reached. In this problem, the mesh density was increased by doubling the element from 12, towards 192 elements for each percentage error calculations. Objective The paper is focused using engineering method in providing a definite stress analysis on the longitudinal points of A and B using nodally average values obtained from the calculations. The main aim is to determine the stress concentration factor in the point A of the plate and the longitudinal stress in between points A and B. In the end of the study, one will be able to conduct a stress analysis with ANSYS without any difficulty as the procedures are stipulated in every step of the calculations. The results of the project will give the deflection, percentage error and the stress on the plate. The use of a quarter of the shape is utilized to produce the calculations of one part that will provide the merit to calculate the whole value of the plane.
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Author : bettyemcdermott

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