PURE BENDING OF BEAMS OF VARIABLE RECTANGULAR SECTION

Abstract

A method is presented for the calculation of stresses and deflections of thin rectangular beams of arbitrary variable depth according to the theory of plane stress. The solution is obtained in the form of a series, the first term of which is identical with the strengthof-materials solution and the others represent the necessary correction to that theory. This correction is found to be small for thin beams and when certain conditions are satisfied by the ordinates (and their span-wise derivatives) of the upper and lower edges of the beam. The proper choice of the 'axis' of non-uniform beam is discussed. (Author)

Document Details

Document Type
Technical Report
Publication Date
Aug 01, 1962
Accession Number
AD0289266

Entities

People

  • Bruno A. Boley

Organizations

  • Columbia University

Tags

Communities of Interest

  • Air Platforms

DTIC Thesaurus Topics

  • Deflection

Readers

  • Aerodynamics.
  • Graph Algorithms and Convex Optimization.
  • Molecular Photonics/Laser Physics