Stress-concentration factors for elliptical holes near an edge

1981 ◽  
Vol 21 (9) ◽  
pp. 336-340 ◽  
Author(s):  
J. B. Hanus ◽  
C. P. Burger
Keyword(s):  
Stress Concentration ◽  
Elliptical Holes ◽  
Concentration Factors ◽  
Stress Concentration Factors

Howland’s isotropic Kts curve for plates with circular holes as a master curve for Kts in orthotropic plates with elliptical holes

2017 ◽  
Vol 52 (3) ◽  
pp. 152-161 ◽  
Author(s):  
Nando Troyani ◽  
Milagros Sánchez
Keyword(s):  
Stress Concentration ◽  
Master Curve ◽  
Orthotropic Materials ◽  
Finite Width ◽  
Rectangular Plates ◽  
Analysis And Design ◽  
Circular Holes ◽  
Elliptical Holes ◽  
Concentration Factors ◽  
Stress Concentration Factors

The importance of the role played by the so-called stress concentration factors (or symbolically referred to as Kts) in analysis and design in both mechanical and structural engineering is a well-established fact, and accuracy and ease in their estimation result in significant aspects related to engineering costs, and additionally on both the reliability in the design of parts and/or in the analysis of failed members. In this work, rectangular finite width plates of both isotropic and orthotropic materials with circular and elliptical holes are considered. Based on two key observations reported herein, it is shown in a partially heuristic engineering sense, that Howland’s solution curve for the stress concentration factors for finite width plates with circular holes subjected to tension can be viewed as a master curve; accordingly, it can be used as a basis to rather accurately estimate stress concentration factors for isotropic finite width tension rectangular plates with centered elliptical holes and also rather accurately used to estimate stress concentration factors for orthotropic finite width rectangular plates under tension with centered elliptical holes. Two novel concepts are defined and presented to this effect: geometric scaling and material scaling. In all the examined and reported cases, the specific numerical results can be obtained accurately using a hand-held calculator making virtually unnecessary the need to program and/or use other complex programs based on the finite element method, just as an example. The maximum recorded average error for all the considered cases being 2.62% as shown herein.

Strains and stress-concentration factors in plates under out-of-phase biaxial cyclic loads

1973 ◽  
Vol 8 (2) ◽  
pp. 90-98 ◽  
Author(s):  
V C Saxena ◽  
K E Machin
Keyword(s):  
Stress Concentration ◽  
Theoretical Analysis ◽  
Infinite Plate ◽  
Cyclic Stress ◽  
Cyclic Loads ◽  
Test Results ◽  
Elliptical Holes ◽  
Concentration Factors ◽  
Geometrical Discontinuity ◽  
Stress Concentration Factors

An elastic theoretical analysis for the strains in an infinite plate and the stress-concentration factors for small elliptical holes in an infinite plate, under sinusoidally varying alternating out-of-phase biaxial loads, is presented. The experiments were performed to substantiate a theoretical analysis for circular and elliptical holes by means of a specially designed and built ‘biaxial cyclic stress machine’. For biaxial alternating stresses, the stress-concentration factor is defined as the ratio of the amplitude of the maximum alternating stress around the geometrical discontinuity to the larger of the amplitudes of the two principal alternating stresses which would occur at the same point if the geometrical discontinuity were not present. Both values are considered over a stress cycle. The results of the theoretical analysis are presented in the form of curves which show the effect of phase differences between stresses and strains upon stress ratio and cyclic stress-concentration factors. The test results of the experiments are also summarized in the form of the curves. Since the experiments were performed on a finite plate compared to an infinite plate considered for theoretical analysis, the experimental curves do not coincide with the theoretical curves. But in general the experimental curves follow the same trends as the theoretical curves. Fatigue implications of out-of-phase biaxial cyclic loads are discussed.

Stress Concentration Due to Elliptical Holes in Orthotropic Plates

1954 ◽  
Vol 21 (1) ◽  
pp. 42-44
Author(s):  
H. D. Conway
Keyword(s):  
Stress Concentration ◽  
Plane Stress ◽  
Minor Axis ◽  
Orthotropic Plates ◽  
Simple Manner ◽  
Uniform Tension ◽  
Elliptical Holes ◽  
Concentration Factors ◽  
Concentrated Forces ◽  
Stress Concentration Factors

Abstract Two plane stress problems of elliptical holes in infinite orthotropic sheets are treated: (a) Hole loaded by a pair of concentrated forces acting at the ends of the major or minor axis, and (b) hole in plate which is subjected to uniform tension. The solutions are obtained in a simple manner by transformation from corresponding problems in which the holes are circular. Closed-form expressions are obtained for the stress-concentration factors.

scholarly journals Stress Concentration Factors for Welded Plate T-Joints Subjected to Tensile, Bending and Shearing Loads

Materials ◽  
2021 ◽  
Vol 14 (3) ◽  
pp. 546
Author(s):  
Krzysztof L. Molski ◽  
Piotr Tarasiuk
Keyword(s):  
Stress Concentration ◽  
Plate Thickness ◽  
Percentage Error ◽  
Geometrical Parameters ◽  
T Joints ◽  
Loading Mode ◽  
Weld Toe ◽  
Concentration Factors ◽  
Parametric Expression ◽  
Stress Concentration Factors

The paper deals with the problem of stress concentration at the weld toe of a plate T-joint subjected to axial, bending, and shearing loading modes. Theoretical stress concentration factors were obtained from numerical simulations using the finite element method for several thousand geometrical cases, where five of the most important geometrical parameters of the joint were considered to be independent variables. For each loading mode—axial, bending, and shearing—highly accurate closed form parametric expression has been derived with a maximum percentage error lower than 2% with respect to the numerical values. Validity of each approximating formula covers the range of dimensional proportions of welded plate T-joints used in engineering applications. Two limiting cases are also included in the solutions—when the weld toe radius tends to zero and the main plate thickness becomes infinite.

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.

Stress concentration factors for the torsion of curved beams of arbitrary cross-section

2006 ◽  
Vol 220 (12) ◽  
pp. 1709-1726 ◽  
Author(s):  
R E Cornwell
Keyword(s):  
Finite Element ◽  
Stress Concentration ◽  
Cross Section ◽  
Cross Sections ◽  
Shear Stresses ◽  
Curved Beams ◽  
Finite Element Implementation ◽  
Out Of Plane ◽  
Concentration Factors ◽  
Stress Concentration Factors

There are numerous situations in machine component design in which curved beams with cross-sections of arbitrary geometry are loaded in the plane of curvature, i.e. in flexure. However, there is little guidance in the technical literature concerning how the shear stresses resulting from out-of-plane loading of these same components are effected by the component's curvature. The current literature on out-of-plane loading of curved members relates almost exclusively to the circular and rectangular cross-sections used in springs. This article extends the range of applicability of stress concentration factors for curved beams with circular and rectangular cross-sections and greatly expands the types of cross-sections for which stress concentration factors are available. Wahl's stress concentration factor for circular cross-sections, usually assumed only valid for spring indices above 3.0, is shown to be applicable for spring indices as low as 1.2. The theory applicable to the torsion of curved beams and its finite-element implementation are outlined. Results developed using the finite-element implementation agree with previously available data for circular and rectangular cross-sections while providing stress concentration factors for a wider variety of cross-section geometries and spring indices.

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