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.
Finite element analysis Name Institution FINITE ELEMENT ANALYSIS Abstract Finite element methods have been in use for years with successful analysis of the structures that are complex. Moreover, the study has been used in the analysis f aerospace structures based on the inferences from the use of finite element study…
Finite element analysis uses a network of grids obtained from connecting several points called nodes specified on the problem body or surface. These grids are called as meshes. The characteristics about the materials and its properties are programmed in the meshes which will be used to determine the system behavior under externally imposed conditions.
The author of this research states that the finite element method is generally employed by the engineers, scientists, and mathematicians to derive solutions for differential equations. The scientists and engineers have been able to find solution of several physical and non-physical problems through finite element analysis.
At the time his work was largely ignored, primarily because there was no practical value to it since computers were not available to solve the enormous number of equations.
Today, with worldwide use of computers, finite element analysis is used in numerous applications involving complicated mathematical problems.
The basic theory of finite element analysis is the same regardless of the type of analysis being done. The geometry being modeled will always be divided up into smaller divisions known as elements and the elements are connected together to form the finite element mesh.
hat Courant developed the method into what we know today when he used the principle of potential energy and piecewise polynomial interpolation to study the Saint-Venant torsion problem. At the time his work was largely ignored, primarily because there was no practical value to
The finite element method is applicable on solids; liquids, plasma and gaseous substances, and problems related to soil mechanics, electromagnetism and dynamics can be traced through this technique. This exercise is based upon the theory which sub-divides a complicated
As a result various features of physical behaviour are sometimes not undertaken in the analysis. A computer program cannot be free from errors because of the large amount of coding associated with it. Large computer programs involve a lot of computing
They use the 100*n plate elements. Similarly, this means that 100 plate elements in the x direction, and n number of elements in the y direction.
2 software programs may give different results for the same single
This project requires the application of skills acquired through my classes in engineering and design. The chief requirement is to analyses the current design of the ceiling bracket (), determine its effectiveness and identify its failures in
Many Finite Element Analysis (FEA) applications are available to provide the engineering community with helpful drafting and simulation software tools. Among the most popular are (FEA, 2009-2011):
The applications assist with
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