FLEXURE THEORY OF STRUCTURAL FIBERGLASS BEAMS,

Abstract

Investigations of the linear stress-strain relation in fiberglass beams (particularly in cold-cured ones) revealed their special features: a high sensitivity to shear, a difference between the elasticity moduli in tension and compression, and the linearity of the stress-strain diagram up to failure. The theory of static flexure of fiberglass beams is presented with the effects of the shearing strain and different elastic moduli taken into account. The hypothesis of plane cross sections and the assumption on the smallness of pressure between fibers are used in deriving formulas for normal and tangential stresses. The effect of the shear force on the angle of slope of the elastic curve is evaluated, and a differential equation of flexure is derived which reflects the effects of shear and of the 'bimodularity' of the material. The integration of this equation by the method of initial parameters is explained on an example of an I-beam under a transverse force combined with a concentrated moment. Design formulas for flexural stress analysis are obtained.

Document Details

Document Type
Technical Report
Publication Date
Sep 17, 1969
Accession Number
AD0697916

Entities

People

  • L. I. Kalenderyan

Organizations

  • National Air and Space Intelligence Center

Tags

Communities of Interest

  • Air Platforms

DTIC Thesaurus Topics

  • Compression
  • Differential Equations
  • Elastic Properties
  • Equations
  • Fiberglass
  • Fibers
  • Linearity
  • Materials
  • Mechanical Properties
  • Physical Properties
  • Sensitivity
  • Stress Analysis
  • Stress Strain Relations
  • Stresses
  • Transverse

Fields of Study

  • Engineering

Readers

  • Mechanical Engineering/Mechanics of Materials.
  • Structural Dynamics.