Updated Stress Concentration Factors for Filleted Shafts in Bending and Tension

Tipton, Steven M.; Sorem, J. R.; Rolovic, Radovan

doi:10.1115/1.2826887

Cited by 21 publications

(25 citation statements)

References 4 publications

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“…The stress concentration factor is typically found in charts in textbooks 1,2 and also in more recent articles. 3,4 The charts are given for circular fillets and for the three different loading situations separately. Many charts are based on experimental results from photoelasticity.…”

Section: Introductionmentioning

confidence: 99%

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Aspects of stress in optimal shaft shoulder fillet

Pedersen

2018

The Journal of Strain Analysis for Engineering Design

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Document Version Peer reviewed versionLink back to DTU Orbit Citation (APA): Pedersen, N. L. (2018). Aspects of stress in optimal shaft shoulder fillet. Journal of Strain Analysis for Engineering Design, 53(5), 285-294. https://doi. AbstractShafts are among the most common machine elements. The typical shape used to reduce stress concentrations are circular arches due to the simplicity. A shaft is typically loaded by axial, bending and torsional load in different combinations. The stress concentration factors are found in tables and charts. The circular design is not optimal from a strength point of view and the strength can be increased by using shape optimization. It is in the present paper shown how the maximum stress from the combined loads can be minimized, when the shape is parameterized using the simple super ellipse. This makes the resulting optimized designs easily transferable to practical design. The stress evaluation is numerically performed using the finite element method using harmonic elements that facilitates an axisymmetric model although the loading is unsymmetric. The stresses are reduced by up to a factor of 15%.

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Section: Introductionmentioning

confidence: 99%

“…In this article, we will, such as in Tipton et al, 3 use the ANSYS 17 program and utilize the harmonic elements. This allows for two-dimensional (2D) axisymmetric models that can handle the nonaxisymmetric loads or out-of-plane loading associated with bending and torsion.…”

Section: Introductionmentioning

confidence: 99%

Aspects of stress in optimal shaft shoulder fillet

Pedersen

2018

The Journal of Strain Analysis for Engineering Design

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“…Modern analytical and numerical techniques can provide a more accurate, easier-to-handle solution. Many authors, [10], [11], used Finite Element Analysis (FEA) to overcome many of the inaccuracies of the previous method and previous Peterson's graphs. With the enormous rise in computing power, designers could use numerical equations to calculate SCF instead of relying on printed curves and tables.…”

Section: Stresses and Stress Concentration Factorsmentioning

confidence: 99%

“…With the enormous rise in computing power, designers could use numerical equations to calculate SCF instead of relying on printed curves and tables. The authors form references [9] and [10] exploit the excellent knowledge of Finite Element Theory combined with separate design equation for each loading mode. The current question is whether it is better to calculate stresses for every external load separately, [11], or for complex loads at once, [5]?…”

Section: Stresses and Stress Concentration Factorsmentioning

confidence: 99%

Combined load simulation vs component loads simulation in machine design: A case study

Momcilovic¹,

Subic²,

Atanasovska³

et al. 2014

FME Transaction

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At a present level af technology, almost all machine parts are subjected to combined loads in real working condition. The aim of research described in this paper is to highlight the importance of combined load simulation for the calculation of machine parts load capacity. This research is inspired by one failure case study of hydro turbine shaft. The shaft with flange and high ratio of shaft/flange diameter is the subject of excessive calculation in order to find the cause of failure. The classic analytical calculation of this shaft uses the Peterson's elastic stress concentration factor and calculates stress concentration factors and maximum stresses for different stress components of combined load and then calculate analytical values of total stress by the hypothesis of maximum normal stress. On the other hand, presented Finite Element Analysis simulates shaft stress state under real conditions of complex load by simultaneously applying all load components (bending, torsion and tension). Bboth of the calculations are performed for few different radii in shaft-flange sections. The results are presented by comparative diagrams for obtained values of total stresses and stress concentration factors. The analysis of these diagrams leads to conclusion that the use of Peterson's stress concentration factors and standard analytical techniques for total stress calculation has to be replaced with modern calculation techniques that provide a more accurate, easier-to-handle solution.

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“…If a bar is subject to axial loading or bending moment, the stress concentration factor is usually defined as the ratio of the largest first principal stress σ 1 at the fillet to the nominal stress S nom [40,41] …”

Section: Problem Statementmentioning

confidence: 99%

Optimal shape design of shoulder fillets for flat and round bars under various loadings

Sonmez

2009

Proceedings of the Institution of Mechanical Engineers, Part C:

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Fillets are usually the most critical regions in mechanical parts especially under fatigue loading, considering that an increase in the maximum stress level considerably shortens the fatigue life of a part. The aim of this study is to find the best shape for a fillet in a shouldered shaft or plate so that the maximum equivalent stress has the lowest possible value.Optimization is achieved using a stochastic global search algorithm called the direct search simulated annealing. The boundary is defined using spline curves passing through a number of key points. The method is also applicable to shape optimization problems in which geometric constraints are imposed and, for this reason, tangential stress is not uniform along the optimal fillet boundary. Optimal shapes are obtained for flat and round bars subject to axial, bending, torsional, or combined loads. The results show that stress concentration factors close to one can be achieved even for bars with significant variations in cross-section. Besides, the region occupied by the optimum fillets is much smaller in comparison to circular or elliptical ones.

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Updated Stress Concentration Factors for Filleted Shafts in Bending and Tension

Cited by 21 publications

References 4 publications

Aspects of stress in optimal shaft shoulder fillet

Aspects of stress in optimal shaft shoulder fillet

Combined load simulation vs component loads simulation in machine design: A case study

Optimal shape design of shoulder fillets for flat and round bars under various loadings

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