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The Elastic Stress Concentration Factors in Shouldered Shafts

Part I: Shafts Subjected to Torsion

Published online by Cambridge University Press:  07 June 2016

I. M. Allison
I. M. Allison*
Affiliation:
Department of Civil and Municipal Engineering, University College, London
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Summary

The photoelastic “stress freezing” technique has been employed to evaluate the elastic stress concentration factors associated with the fillet blend radius in a number of shouldered shafts. The full range of practical sizes of blend radius and depth of shoulder has been examined. Comprehensive results for the shaft subjected to torsion, pure bending and axial load are given in this (Part I) and in two subsequent papers (Parts II and III).

The accuracy of the graphs of stress concentration factors is better than six per cent. Comparison has been made with the existing theoretical and experimental results for each mode of loading. The results of an investigation into die limiting value of the stress concentration factor (for a particular shoulder radius) as the depth of the shoulder is increased to infinity are included in Part III.

Type
Research Article
Information
Aeronautical Quarterly , Volume 12 , Issue 2 , May 1961 , pp. 189 - 199
Copyright
Copyright © Royal Aeronautical Society. 1961

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References

1. Jessop, H. T., Snell, C. and Allison, I. M. The Stress Concentration Factors in Cylindrical Tubes with Transverse Circular Holes. The Aeronautical Quarterly, Vol. X, p. 326, November 1959.CrossRefGoogle Scholar
2. Jacobsen, L. S. Torsional Stress Concentrations in Shafts of Circular Cross Section and Variable Diameter. Transactions of the American Society of Mechanical Engineers, Vol. 47, p. 619, 1925.Google Scholar
3. Wiegand, A. Determination of the S.C.F. of a Stepped Shaft Stressed in Torsion, by Means of a Precision Strain Gauge. Luftfahrtforschung, Vol. 20. p. 217. July 1943. Translation N.A.C.A. T.M. 1179, September 1947.Google Scholar
4. Sonntag, G. Grooves in Shafts Subjected to Torsion. Zeitschrift für angewandte Mathematik und Mechanik, Vol. 9. p. 1, 1929.CrossRefGoogle Scholar