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An Attempt to Quantify the Translation of Fiber Bundle Tenacity into Yarn Tenacity

The concept of a real yarn tenacity, derived by making an allowance for fiber obliquity and for the fibers that do not contribute to the yarn breaking load, has been postulated. An equation has been derived to enable the calculation of real yarn tenacity. In the case of man-made fibers that exhibit only a very weak gauge-length effect in their bundle tenacity, the real yarn tenacity has been shown to be equal to the fiber bundle tenacity at all levels of twist beyond the minimum required to ensure an interlocking structure. In the case of cotton, the effective gauge length for which the bundle tenacity is equal to the real yarn tenacity has been found to depend upon the level of twist in the yarn, being of the order of 1 mm for yarns that have more than the optimum twist.