Moment-Strain Relationships in Elastic-Plastic Bending of Beams

Abstract

Theoretical expressions for bending moment versus depth of elastic- plastic interface for both rectangular, tubular, and solid circular beams are developed. Theoretical expressions for strain as a function of geometry and depth of elastic-plastic interface for each type of cross section are derived. The possibility of a strain singularity occurring as the elastic-plastic interface approaches the neutral axis is pointed out. The assumption that 'planes remain plane' is examined. Experimental data is presented which supports the assumption. The basis for determining residual or permanent strains and expressions for their calculation are given. Finally a brief section of strain- curvature relationships is presented.

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Document Details

Document Type
Technical Report
Publication Date
Jun 01, 1981
Accession Number
ADA101722

Entities

People

  • R. V. Milligan

Organizations

  • United States Army Armament Research, Development and Engineering Center

Tags

Communities of Interest

  • Air Platforms

DTIC Thesaurus Topics

  • Applied Mechanics
  • Bending Moments
  • Computer Programs
  • Curvature
  • Determinants (Mathematics)
  • Equations
  • Experimental Data
  • Geometric Forms
  • Geometry
  • Integrals
  • Lines (Geometry)
  • Materials
  • Mechanical Properties
  • Mechanics
  • Plastic Deformation
  • Residuals
  • Stresses

Fields of Study

  • Engineering

Readers

  • Materials Science (Mechanical Engineering).
  • Structural Dynamics.