The shape of the curve showing the yarn size/yarn tenacity relationship is an important criterion for judging the spinning quality of a textile fiber. This paper suggests an equation for the relationship derived empirically by spinning different qualities of jute fibers into a number of counts. Straight-forward correlation analysis and regression equations relating yarn tenacity to fiber properties are set up at each level of count.

From a study of the relationship between the breaking strength and the corresponding mass per unit length at thefracture zone of a yarn, the expected strength of a perfectly even yarn of identical fiber composition has been derived. The ratio between the observed strength and this estimated value has been taken as a measure of utilization of fiber strength in yarn. The dependence of this utilization factor on the diameter irregularity of yarn has been examined on the basis of test results obtained on a number of yarn samples of different qualities. The yarn tenacity at the fracture zone is also found to be related with its diameter irregularity; the causes of this are discussed

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