Statistical Distribution of the Breaking Strength of a Bundle of Classical Fibers.

Abstract

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.

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Document Details

Document Type
Technical Report
Publication Date
Dec 01, 1965
Accession Number
ADA310371

Entities

People

  • Burt M. Rosenbaum

Organizations

  • Glenn Research Center

Tags

DTIC Thesaurus Topics

  • Computing-Related Activities
  • Data Science
  • Information Science
  • Interdisciplinary Science
  • Mathematics
  • Probability
  • Statistical Distributions

Fields of Study

  • Physics

Readers

  • Atmospheric Science / Meteorology, specifically Wind Wave Turbulence.
  • Reinforced Composite Materials
  • Statistical inference.