Abstract
Theory has been developed to predict the average inter-fibre pressure in a twisted fibre assembly that is subjected to tension. This has been extended to predict the rupture force in an assembly, such as a worsted roving, where the rupture takes place only by fibre slippage. A wide range of experimental determinations have been made and it is shown that, in general, there is very close agreement between theory and experiment. The theory was also extended to calculate the drafting force in a twisted assembly caused by roller-drafting on the Bradford System. The drafting force was measured experimentally by a newly developed method and, again, it was found that these results agreed closey with the theory. The results presented here were intended primarily to investigate the condition of fibres during drafting, but it would appear that they could also be applied to the problem of yarn strength, by making allowance for the effect of fibre breakage as well as fibre slippage.

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