The Statistical Theory of the Strength of Bundles of Threads. I

摘要: A group of parallel threads equal length, clamped at each end so that all extend equally under tension, is called a bundle, and the maximum load which bundle can support its strength. The object work to study probability distribution strength bundles whose constituent are sampled randomly from an infinite population in known. relation between strengths first discussed, results stated for large proportions different approach their expectations. properties next developed detail, attention being confined present paper case where have same load-extension curve up breaking point. Finally, asymptotic behaviour numbers studied, it shown commonest cases tends assume normal form.