Note on a Non-Trivial Simple Example of Higher-Order One-Dimensional Beam Theory,

Abstract

One-dimensional beam equations are derived for a rectangular-cross section beam consisting of shear webs and corner stringers with one cross-sectional axis of symmetry. It is shown that a systematic statement of this problem involves one more equation than elementary theory, with this additional equation involving the concept of cross-sectional warping and bi-moment. As an application of the general results of the paper, new conclusions are deduced concerning the location of the center of shear of the beam. (Author)

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Document Details

Document Type
Technical Report
Publication Date
Apr 01, 1979
Accession Number
ADA069641

Entities

People

  • E. Reissner

Organizations

  • University of California, San Diego

Tags

Communities of Interest

  • Energy and Power Technologies

DTIC Thesaurus Topics

  • Applied Mechanics
  • Boundaries
  • California
  • Constitutive Equations
  • Differential Equations
  • Displacement
  • Engineering
  • Equations
  • Mechanical Properties
  • Mechanics
  • Military Research
  • Shear Stresses
  • Stiffness
  • Stresses
  • Structural Mechanics
  • Three Dimensional
  • Two Dimensional

Fields of Study

  • Mathematics
  • Physics

Readers

  • Calculus or Mathematical Analysis
  • Structural Dynamics.