This paper is the first of a series which will deal with torque in textile systems. It is concerned principally with the analysis of torque developed in twisted singles yarns as created by (a) fiber bending, ( b ) fiber torsion, and (c) bending and torsion in com bination. Equations are developed, using elastic theory, relating singles yarn torque to fiber elastic properties, fiber geometry, and singles yarn structure. Extension and application of the theory presented herein to torque in higher order textile structure, e.g., plied yarns and fabrics, will appear in subsequent publications.
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