Page 293 - Handbook of Properties of Textile and Technical Fibres
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Tensile properties of cotton fibers: importance, research, and limitations  267

           Table 7.2 Typical values of skein break factor (lb$Ne) (Elmogahzy
           and Chewning, 2001)

            Yarn type/Ne (s)           Range                  Mean value (lb$Ne)
            Ring-spun (carded)
            Ne ¼ 20                    1774e3129              2227
            Ne ¼ 36                    1584e3096              2045
            Ring-spun (combed)
            Ne ¼ 22                    2886e4009              3430
            Ne ¼ 36                    2653e3737              3223
            Ne ¼ 50                    2433e3587              3042
            Open-end (carded)
            Ne ¼ 10                    1979e2898              2347
            Ne ¼ 22                    1663e2669              2005
            Ne ¼ 30                    1507e2415              1814



           Table 7.3 Typical values of tenacity, breaking elongation, and work of
           rupture for ring-spun carded yarns (Elmogahzy and Chewning,
           2001) (Uster Tensorapid)

                             Tenacity (cN/     Breaking
                                 tex)       elongation (%)
            Count range (Ne)                                Work of rupture
            (s)             Mean   CV%     Mean    CV%      (cN$cm)
            6e10            17     6e7     8e7.2   6e6.6    3000e1700
            10e20           17     7e8.5   7.2e6.4  6.6e7.5  1700e800
            20e40           17     8.5e10  6.4e5.6  7.5e8.5  800e350


           7.17.2 Fiber-to-yarn strength relationships

           Research efforts on the effect of the tensile behavior of cotton fibers on the correspond-
           ing behavior of cotton yarns have focused on exploring fundamental relationships
           between the tensile parameters. The classic work by Hearle et al. (1969) explains
           the contribution of fibers that are twisted together to form a yarn using the ratio
           between yarn tensile modulus and fiber tensile modulus determined from the following
           expression:

               Yarn strength ðor modulusÞ  E y  2
                                      ¼   ¼ cos a½Lf   k$cosec aŠ
               Fiber strength ðor modulusÞ  E f
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