Graphical Relationships in Cloth Geometry for Plain, Twill, and Sateen Weaves

Abstract

In the seventeen years since the publication of F. T. Peirce's "The Geometry of Cloth Structure" [1], many textile engineers have checked the assumptions upon which the geo metric theory is based. Their findings have reflected favorably on Peirce's physical and analytical reasoning. In many cases it was found advisable to extend the original geometric relationships to include woven structures other than those dealt with explicitly in Peirce's writings. The following paper by Mr. Louis Love serves as a useful extension of Peirce's consideration of the maximum weavability of plain weaves. Based on his own observations of fabric cross sections, Love establishes lateral compression factors for other than plain weaves. He combines these with appropriate weave factors to arrive at graphical relation ships for maximum weavability—presented here in a form of immediate use to the mill designer. Following Mr. Love's paper, Dr. John Dickson reports on numerous loom tests which serve to illustrate the validity of Love's assumptions, analyses, and computations. It is worth noting that Dickson's experimental data relate to cotton and to other fibers as well. His calculations demonstrate the direct manner of converting from one yarn count system to another, taking into consideration variations in fiber density. The need for such conver sions arises from the use of cotton system cover factors in most published studies of cloth geometry. EDITOR