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The Quarterly Journal of Mechanics and Applied Mathematics 1950 3(4):459-468; doi:10.1093/qjmam/3.4.459
© 1950 by Oxford University Press
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ON THE STRESSES IN CLOSE-COILED HELICAL SPRINGS

W. M. SHEPHERD

( The University Bristol )

The problem of the stresses in a close-coiled helical spring is attacked by considering the stresses in an incomplete circular ring. It is found that the cross-section of a ring made from originally circular wire is almost exactly circular, but that other shapes of cross-section would be very considerably modified, especially if the ratio of the coil radius to the wire radius were small. The stresses in a ring of circular cross-section are obtained and good agreement is found with the results of Göhner, Cross-sections of non circular outline are considered with a view to reducing the maximum stress due to a given longitudinal force, but no worthwhile improvement on the circular form is found to be possible.


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