Relation of Single Fiber and Bundle Strengths of Cotton

摘要

A theoretical derivation of an equation for bundle strength is presented, assuming a normal distribution of single fiber strains. Unfortunately, the experimental fiber strain distribution cannot be considered as normal. Therefore, further theoretical consideration involves the derivation of an equation for bundle strength assuming Ray-leigh's distribution of single fiber strains. Theoretical values of coefficients of cotton fiber strength efficiency in the bundle are compared with the experimental values obtained in our earlier work, and a satisfactory agreement is reached.