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A theoretical approach is adopted in this paper based on the existing literature in order to present an explicit relationship between the strengths of fibers and yarns. This provides a relatively simple method for quick estimation of staple yarn strength, while avoiding some limitations of an empirical method. The CV values of the strengths are given as well. The effects of important factors such as fiber variation, fiber length and thickness, yarn twist, and yarn packing density are considered, and some are discussed in detail. The results are verified by previously published data.