A Theory of Moderately Thick Structural Elements. Part I. Thick Beams.

Abstract

The report presents a theory of moderately thick plates and shells as it specifically applies to thick beams. The technique, based on a power series expansion of the displacement field about the middle surface, is applicable to any elastic body, but is directly applied to beams. An example problem is solved by the higher order techniques and compared with the Euler solution and the elasticity solution. The results were very close to the elasticity solution. This theory gives a workable beam theory for much smaller L/D ratios that Euler beam theory. (Author)

Document Details

Document Type
Technical Report
Publication Date
Sep 01, 1971
Accession Number
AD0731065

Entities

People

  • D. P. Singh
  • Darrel D. Penrod

Organizations

  • University of Iowa

Tags

DTIC Thesaurus Topics

  • Displacement
  • Elastic Properties
  • Mathematical Analysis
  • Mathematics
  • Military Vehicles
  • Power Series
  • Sequences
  • Sequences (Mathematics)
  • Series (Mathematics)
  • Vehicles
  • Vibration

Fields of Study

  • Physics

Readers

  • Calculus or Mathematical Analysis
  • Structural Dynamics.