Statistical Distribution of the Breaking Strength of a Bundle of Classical Fibers.
NATIONAL AERONAUTICS AND SPACE ADMINISTRATION CLEVELAND OH LEWIS RESEARCH CEN TER
Pagination or Media Count:
It is shown that, for ideal bundles having a given number of fibers that will break under a load per fiber 1 sub 1 and a given number of fibers that will not break under a load 1 sub s 1 sub 1, the average number of unbroken fibers in the bundle at loads between 1 sub 1 and 1 sub 2 depends linearly on the probability that an individual fiber picked at random will support a load 1. Bundles are grouped according to the number of fibers in the bundle that can support that load per fiber at which the average total load supported by the bundle is a maximum. An approximation to the maximum of the average load supported by the bundle is arrived at for each group, and this maximum averaged over the groups constitutes a lower bound for the average breaking strength of the bundle. The results agree with those of Pierce and Daniels.