Stress Analysis of Holes in Thick Plates

2004 ◽  
Vol 1-2 ◽  
pp. 153-158 ◽  
Author(s):  
S. Quinn ◽  
Janice M. Dulieu-Barton
Keyword(s):  
Stress Concentration ◽  
Stress Analysis ◽  
Uniaxial Tension ◽  
Plane Stress ◽  
Plate Surface ◽  
Flat Plates ◽  
Thick Plates ◽  
Concentration Factors ◽  
Stress Concentration Factors

A review of the Stress Concentration Factors (SCFs) obtained from normal and oblique holes in thick flat plates loaded in uniaxial tension has been conducted. The review focuses on values from the plate surface and discusses the ramifications of making a plane stress assumption.

Axisymmetric Plane Stress Problems in Anisotropic Plasticity

1969 ◽  
Vol 36 (1) ◽  
pp. 7-14 ◽  
Author(s):  
Wei Hsuin Yang
Keyword(s):  
Stress Concentration ◽  
Strain Hardening ◽  
Plane Stress ◽  
Analytic Solutions ◽  
Anisotropic Plasticity ◽  
Stress Plane ◽  
Method Of Solution ◽  
Degree Of Anisotropy ◽  
Concentration Factors ◽  
Stress Concentration Factors

Based on an established theory of anisotropic plasticity, a class of axisymmetric plane stress problems is solved for sheet metals which harden according to a power law and are isotropic in their plane. A new method of solution, the stress plane method, is used. The analytic solutions for the problems considered are obtained in the stress plane. The stress-concentration factors introduced by a hole or a rigid inclusion at the center of an infinite sheet are obtained for arbitrary degree of anisotropy and strain-hardening characteristics. The influence of anisotropy and strain-hardening on the deep-drawing problem is also studied. The results show that the type of anisotropy and strain-hardening assumed always influences the stress concentration and drawability in a favorable way.

Stress Concentration Factors From Overlapping Stress Fields in Uniaxial Tension

1976 ◽  
Vol 98 (1) ◽  
pp. 332-339 ◽  
Author(s):  
H. T. Gencsoy ◽  
J. F. Hamilton ◽  
C. C. Yang
Keyword(s):  
Stress Concentration ◽  
Uniaxial Tension ◽  
Stress Concentration Factor ◽  
Concentration Factor ◽  
Substantial Effect ◽  
Stress Fields ◽  
Concentration Factors ◽  
Stress Concentration Factors ◽  
Stress Raisers ◽  
Resultant Stress

Standard transmission photoelastic techniques were used to determine the resultant stress concentration factors produced by multiple stress raisers in flat, rectangular bars under uniaxial tension. Observations were made on the overlapping stress fields due to various combinations and orientations of holes and semicircular grooves. Two cases of directly superposed discontinuities were also investigated. The results of this investigation indicate that the sizes and relative positions of the discontinuities had a substantial effect on the resultant stress concentration factor. In some cases the stress concentration factor would be decreased while in other cases it would be increased. In the case of superposed stress raisers considered in this investigation, the resultant stress concentration factor can be taken as the product of the individual stress concentration factors; this is in agreement with the results of other investigators. However, for other cases, much judgment and experience will be required to decide when this can be done. And even then this product should be considered only as the probable upper limit of the actual stress concentration factor.

Using the Palm Computer to Augment the Design of Machine Elements

2000 ◽  
Author(s):  
Terry E. Shoup
Keyword(s):  
Stress Concentration ◽  
Stress Analysis ◽  
Three Dimensional ◽  
The Other ◽  
Machine Design ◽  
State Of Stress ◽  
Machine Elements ◽  
Concentration Factors ◽  
Stress Concentration Factors ◽  
Computational Processes

Abstract This paper discusses the utility of the palm sized computers for augmenting the design of machine elements. Two palm computer programs are presented for handling frequently occurring problems in stress analysis in order to demonstrate the utility of the palm computer in this environment. One of these programs handles the manipulation of a three dimensional state of stress and the other program handles stress concentration factors. These modules facilitate computational processes that would not be possible with a traditional hand-held calculator. These programs are useful for students of machine design and practitioners as well.

Stress concentration caused by an oblique round hole in a flat plate under uniaxial tension

1968 ◽  
Vol 3 (2) ◽  
pp. 98-102 ◽  
Author(s):  
H W McKenzie ◽  
D J White
Keyword(s):  
Stress Concentration ◽  
Maximum Stress ◽  
Elliptical Hole ◽  
Round Hole ◽  
Flat Plates ◽  
Reasonable Estimate ◽  
Load Carrying ◽  
Concentration Factors ◽  
Stress Concentration Factors ◽  
Plate Width

Stress-concentration factors have been determined for oblique holes in flat plates by a method using frozen-stress photoelasticity. The ellipses formed at the intersection of the hole and the plate surfaces had their major axes perpendicular to the direction of application of the load. The maximum stress-concentration factor was found to increase with increasing angle of obliquity with respect to the normal to the plate but the experimental factors were found to be considerably lower than those predicted from a theory of Ellyin et al. Graphs are given which enable maximum stress-concentration factors to be obtained for oblique holes having a ratio of hole diameter to plate width of 0.1. It was found that, for the models tested, elliptical hole data gave a reasonable estimate of the maximum stress-concentration factors based on net area. Removing the feather edge of the hole, by applying various edge radii, did not alter the stress concentration appreciably except in so far as load-carrying area was reduced.

The Effect of Elliptic Holes on the Bending of Thick Plates

1955 ◽  
Vol 22 (1) ◽  
pp. 89-94
Author(s):  
P. M. Naghdi
Keyword(s):  
Stress Concentration ◽  
Elastic Plate ◽  
Elliptic Hole ◽  
Recent Theory ◽  
Mathieu Functions ◽  
Thick Plates ◽  
Transverse Normal Stress ◽  
Theory Of Plates ◽  
Concentration Factors ◽  
Stress Concentration Factors

Abstract The effects of an elliptic hole on both plain bending and pure twist of an elastic plate are investigated by application of the recent theory for bending of plates due to E. Reissner, where the influence of shear deformation and transverse-normal stress is taken into account. The stress-concentration factors are given for both cases mentioned. The solution, which is approximate in character, involves modified Mathieu functions of the second kind. In limiting cases, the results reduce exactly to the solution of corresponding problems with circular hole, as well as to the predictions of the classical theory of plates.

Stress Distribution Formulas and Comparison of Three Stress Analysis Techniques for Tubular Joints

1985 ◽  
Vol 107 (1) ◽  
pp. 60-67
Author(s):  
S. Dharmavasan ◽  
W. D. Dover
Keyword(s):  
Stress Concentration ◽  
Stress Analysis ◽  
Mixed Mode ◽  
Hot Spot ◽  
Offshore Structures ◽  
Hot Spot Stress ◽  
Analysis Techniques ◽  
Mode Stress ◽  
Concentration Factors ◽  
Stress Concentration Factors

The available data on hot spot stress for tubular welded joints has been reviewed and a database established. Stress analysis techniques in general use for the design of offshore structures and parametric equations have been assessed against this database to determine their accuracy. A set of equations to predict the stress distributions for simple joints has been proposed and has been used to predict mixed mode stress concentration factors. Results obtained from a complex K joint have been examined in detail and the importance of the stress state, when predicting the mixed mode stress concentration factors, is demonstrated.

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