THE BENDING OF COLUMNS UNDER AXIAL LOADS OF RANDOM ECCENTRICITY

Abstract

An initially straight, homogeneous, isotropic, elastic column is subjected to axial loads whose location with respect to the center line of the column is given by a random eccentricity at each end. Methods are advanced which, on the basis of assumptions concerning the statistical distribution of the eccentricities, provide answers to the following questions: (1) What is the probability that the maximum transverse column displacement occurs in a given interval of the column. (2) For a given load (or for a given absolute midspan displacement,) what is the probability that the absolute midspan displacement (or load) lies between preassigned bounds. (Author)

Document Details

Document Type
Technical Report
Publication Date
May 22, 1961
Accession Number
AD0258422

Entities

People

  • William E. Boyce

Organizations

  • Rensselaer Polytechnic Institute

Tags

DTIC Thesaurus Topics

  • Axial Loads
  • Data Science
  • Displacement
  • Eccentricity
  • Information Science
  • Intervals
  • Mathematics
  • Probability
  • Statistical Distributions
  • Transverse

Readers

  • Agricultural Chemistry/Soil Science
  • Materials Science (Mechanical Engineering).
  • Statistical inference.