ANTIPLANE ELASTIC SYSTEMS V. THE FLEXURE OF ISOTROPIC BEAMS

Abstract

Contents: The flexure problem The stress component zz in the isotropic case The geometrical parameters of the cross-section The shears xz and yz The displacement The centre of flexure Cross-section a circle Cross-section a circular annulus Cross-section a limacon Cross-section one loop of Bernoulli's lemniscate Half-sections Shear stress functions Timoshenko's stress function Cross-section an ellipse Cross-section an equilateral triangle Gauss's theorem and integration by parts Virtual stresses and Timoshenko's stress function Cross-section an ellipse (virtual stresses) de St Venant's flexure function Cross-section a rectangle Application of the principle of virtual work Cross-section an ellipse (virtual work) Cross-section a rectangle (virtual work)

Document Details

Document Type
Technical Report
Publication Date
Mar 01, 1961
Accession Number
AD0257502

Entities

People

  • L.m. Milne-thomson

Organizations

  • University of Wisconsin–Madison

Tags

DTIC Thesaurus Topics

  • Displacement
  • Geometry
  • Mathematics
  • Mechanical Properties
  • Shear Stresses
  • Stresses
  • Triangles

Readers

  • Graph Algorithms and Convex Optimization.
  • Structural Dynamics.