The Stress Distribution in a Strip Loaded in Tension by Means of a Central Pin

1956 ◽  
Vol 23 (1) ◽  
pp. 85-90
Author(s):  
P. S. Theocaris
Keyword(s):  
Exact Solution ◽  
Stress Concentration ◽  
Stress Distribution ◽  
Approximation Method ◽  
Infinite Length ◽  
Stress Distributions ◽  
Axial Hole ◽  
Optimum Diameter ◽  
Concentration Factors ◽  
Stress Concentration Factors

Abstract It is the purpose of this paper to give an exact solution for the stress distribution resulting from loading a perforated strip in tension through a rigid pin filling the hole. The strip is regarded as of an infinite length and having a single axial hole. Stress distributions are found by an alternating approximation method and the stresses are tabulated in the form of stress-concentration factors for different values of diameter of the hole. The influence of size of the hole on the stress concentration in the strip is investigated and the optimum diameter of the hole is evaluated.

Stress and Strength Analysis of Equal-Diameter Tees

1991 ◽  
Vol 113 (1) ◽  
pp. 55-63 ◽  
Author(s):  
J. Zhixiang ◽  
Z. Qingjiang ◽  
Z. Siding
Keyword(s):  
Finite Element ◽  
Stress Concentration ◽  
Stress Distribution ◽  
Maximum Stress ◽  
Elastic Stress ◽  
Stress Factors ◽  
Strength Analysis ◽  
Stress Distributions ◽  
Concentration Factors ◽  
Stress Concentration Factors

The elastic stress distribution of four models (β=Do/Di=1.07, 1.20, unreinforced and weld-reinforced) under five typical external loadings and the strength of six models (in addition to β=1.50) under internal pressure are investigated experimentally. The maximum stress factors are obtained. The influences of weld-reinforced structure on stress distribution and strength characteristics of tees are discussed. The finite-element predictions of unreinforced tees with β=1.07, 1.11, 1.15, 1.20 are carried out. The predicted stress distributions agree well with measured results. The relation between β and stress concentration factors under various loadings are obtained.

Numerical solution of plane elastostatic problems by point matching

1968 ◽  
Vol 3 (2) ◽  
pp. 109-114 ◽  
Author(s):  
C J Hooke
Keyword(s):  
Stress Concentration ◽  
Stress Distribution ◽  
Numerical Solution ◽  
Point Matching ◽  
Matching Technique ◽  
Concentration Factors ◽  
Stress Concentration Factors ◽  
Plane Elastic Problems

A description of the point-matching technique and of its application to the solution of plane elastic problems is presented. The technique is then used to evaluate the stress distribution in a number of plane elastic problems, and the accuracy of the point-matching technique is assessed by comparing the results obtained with those obtained by other methods. Finally, the technique is used to calculate the stress-concentration factors for a bar, with two symmetrically placed U-shaped notches, loaded in tension.

The Influence of the Path of Corner Gussets Weld Seam over the Stress Concentration Factors of the Tubular T Joints

2015 ◽  
Vol 1111 ◽  
pp. 67-72
Author(s):  
Gabriel Dima ◽  
Ion Balcu
Keyword(s):  
Stress Concentration ◽  
Stress Distribution ◽  
Dynamic Behaviour ◽  
Weld Seam ◽  
Fe Model ◽  
Weight Saving ◽  
Different Types ◽  
Concentration Factors ◽  
Stress Concentration Factors ◽  
Model Approach

The joints of the tubular welded structures are stiffened with gussets in order to decrease the stress concentration factors and to increase the rigidity. The experience from field concluded that the tangent placed gussets bring the biggest improvement to the fatigue and dynamic behaviour as well as the weight saving of joints. The path of the weld seam influences the stress distribution in the joint members, gusset and in the weld itself. The paper proposes different types of weld ending path to investigate the changes in the stress distribution in all components of the joint. Using the FE analysis, the stress concentration factors were determined in three load cases. Both the numerical and preliminary experimental results indicated different joint behaviours according to the loading type. An assessment of the proposed weld paths was done, together with FE model approach and design recommendations.

Stress concentration factors around the intersection of two cylindrical holes in an infinite elastic body

1977 ◽  
Vol 12 (3) ◽  
pp. 217-222 ◽  
Author(s):  
C J Hooke ◽  
G Demunshi
Keyword(s):  
Approximate Solution ◽  
Stress Concentration ◽  
Stress Distribution ◽  
Elastic Body ◽  
The Body ◽  
Isotropic Elastic Body ◽  
Uniform Tension ◽  
Cylindrical Holes ◽  
Concentration Factors ◽  
Stress Concentration Factors

The paper presents an approximate solution for the stress distribution around two cylindrical holes intersecting at right angles in an infinite homogeneous, isotropic, elastic body, when the body is subjected to uniform tension at an infinite distance from the holes. Stress concentration factors for a range of ratios of the hole radii are presented, both for the case when the two holes are infinitely long and for when the smaller hole is semi-infinite.

Strengthening of Circular Holes in Plates Under Edge Loads

1944 ◽  
Vol 11 (3) ◽  
pp. A140-A148
Author(s):  
Leon Beskin
Keyword(s):  
Stress Concentration ◽  
Critical Stress ◽  
Hydrostatic Stress ◽  
Axial Stress ◽  
Theory Of Elasticity ◽  
Stress Distributions ◽  
Common Basis ◽  
Circular Holes ◽  
Concentration Factors ◽  
Stress Concentration Factors

Abstract In this paper, stress distributions are determined around strengthened circular holes in plates submitted to edge loads at infinity. Various proportions of circular strengthenings are considered, and three conditions of applied edge loads are investigated; uniform hydrostatic stress, uniform shearing stress, uniform axial stress. Stress distributions are found by methods of theory of elasticity, and the results are given in the form of stress-concentration factors. In order to reduce the results to a common basis, the stress-concentration factors have been defined by the ratio of the critical stress, computed by the distortion-energy theory, to the critical stress at infinity, which is the critical stress in the plate without hole.

Neuber’s rule accounting for the material nonlinearity influence on the stress concentration of the laminated composites

2016 ◽  
Vol 36 (3) ◽  
pp. 214-225 ◽  
Author(s):  
Fathollah Taheri-Behrooz ◽  
Nima Bakhshi
Keyword(s):  
Stress Concentration ◽  
Stress Distribution ◽  
Stress Concentration Factor ◽  
Concentration Factor ◽  
Material Nonlinearity ◽  
Maximum Deviation ◽  
Linear Solution ◽  
Concentration Factors ◽  
Stress Concentration Factors ◽  
Neuber's Rule

Since holes comprise the necessary features of many structural components, a comprehensive understanding of the behavior of composite plates containing an open hole is a crucial step in their design process. In the present manuscript, an extensive numerical study has been conducted in order to investigate the effects of material nonlinearity on the stress distribution and stress concentration factors in unidirectional and laminated composite materials. To attain this objective, various models with different configurations were studied. In unidirectional composites, the maximum deviation of stress distribution around the hole (from the linear solution) happens in 45° lamina in which includes a high level of shear stress. However, the maximum difference in the stress concentration factor occurs in 15° lamina and is 15.1% at the onset of failure. In composite laminates, the maximum deviation of nonlinear stress concentration factor from the linear solution is reported 24.3% and it occurs in [+45/−45] s laminate. In the last section, Neuber’s rule is employed to find the stress concentration factors of the laminated composites, with a reasonable accuracy.

scholarly journals Effect of Cosserats' couple-stresses on the stress distribution in a semi-infinite medium with varying modulus of elasticity

1966 ◽  
Vol 6 (2) ◽  
pp. 157-171 ◽  
Author(s):  
Gunadhar Paria
Keyword(s):  
Stress Concentration ◽  
Stress Distribution ◽  
Elastic Property ◽  
Exponential Type ◽  
Modulus Of Elasticity ◽  
Infinite Medium ◽  
Couple Stresses ◽  
Cartesian System ◽  
Concentration Factors ◽  
Stress Concentration Factors

SummaryThe theory of Cosserats' couple-stresses is briefly described in a cartesian system of coordinates, and is applied to the problem of stress distribution in a semi-infinite medium which possesses a non-homogeneous elastic property of an exponential type. Effects of couple-stresses on the stress concentration factors are determined both in homogeneous and non-homogeneous materials.

Numerical Analysis for the Characteristics of Stress Distribution on Lap Laser Welding Joint of Stainless Sheet Steel

2012 ◽  
Vol 472-475 ◽  
pp. 1192-1196
Author(s):  
Chun Yuan Shi ◽  
Lei Li ◽  
Hong Xiao Wang ◽  
Yu Xin Yao
Keyword(s):  
Stress Concentration ◽  
Stress Distribution ◽  
Laser Welding ◽  
Fatigue Test ◽  
Sheet Steel ◽  
Initiation Site ◽  
Stress Distributions ◽  
Welding Joint ◽  
Concentration Factors ◽  
Made In

It gave a better strength that taking lap laser welding (llw) instead of resistant spot welding (rsw) to assemble the framework and the flankwall of stainless steel car body structure, and the fracture situations of fatigue test were different in the two welding methods. That was chiefly connected to the stress distribution and concentration of welding joint. The analyses on stress distributions and concentration factors of the two joints in different external loadings were made in this paper. The results indicate that the stress concentration factor of llw joint on the flankwall is 73.4% lower than that of rsw and the value on the framework is 81.6%. The crack initiation site of fatigue test appears at the place with the highest stress concentration, which is agreed well with the theoretical analysis.

Stress Concentration Factors in Tubular K-Joints Under Combined Loadings

2010 ◽  
Author(s):  
Tuanhai Chen ◽  
Guoming Chen
Keyword(s):  
Stress Concentration ◽  
Boundary Conditions ◽  
Hot Spot ◽  
Offshore Platforms ◽  
Stress Distributions ◽  
Hot Spot Stress ◽  
Loading Effects ◽  
Concentration Factors ◽  
Stress Concentration Factors ◽  
Combined Loadings

A numerical method of stress concentration factors (SCFs) in tubular K-joints under combined loadings was proposed, and the loading effects on SCFs were investigated by using this method. Since it couldn’t present the state of stress concentration very well if the displacements were used as the boundary conditions, the load boundary conditions were selected to analyze the stress distribution of the tubular K-joints. In view of the disadvantages of the superposition of stress distributions from each uniaxial loading mode, an alternative method for the calculation of the hot spot stress under combined loadings was provided. In this method, three basic types of basic loadings namely, axial loading, in-plane and out-of-plane bending moments were applied to the tubular joints simultaneously by virtue of the submodeling technique in ANSYS system. Then the stress distributions along the intersection of tubular K-joints under combined loadings were developed directly, and the hot spot stresses were obtained through extrapolation. Finally, according to parametric study, the loading effects of ice thickness and drift direction on SCF distributions and values were studied through this method. The investigation provides the theoretical basis for determining SCF in tubular K-joints under different load cases in evaluating the ice-induced fatigue of offshore platforms, and has very important engineering application value.

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