Bending and Shear Stresses Developed by the Instantaneous Arrest of the Root of a Moving Cantilever Beam

Abstract

A theoretical and experimental investigation was made of the behavior of a cantilever beam in transverse motion when its root is suddenly brought to rest. Equations are given for determining the stresses, the deflections, and the accelerations that arise in the beam as a result of the impact. The theoretical equations, which have been confirmed experimentally, reveal that at a given percentage of the distance from root to tip the bending stresses for a particular mode are independent of the length of the beam, whereas the shear stresses vary inversely with the length.

Open PDF

Document Details

Document Type
Technical Report
Publication Date
Jan 01, 1945
Accession Number
ADA801267

Entities

People

  • Edward B. Schwartz
  • Elbridge Z. Stowell
  • John C. Houbolt

Organizations

  • Langley Research Center

Tags

Communities of Interest

  • Air Platforms
  • Energy and Power Technologies

DTIC Thesaurus Topics

  • Aeronautical Laboratories
  • Aeronautics
  • Bending Stress
  • Boundaries
  • Buildings And Structures
  • Cantilever Beams
  • Coefficients
  • Deflection
  • Differential Equations
  • Elastic Properties
  • Equations
  • Frequency
  • Frequency Response
  • Modulus Of Elasticity
  • Shear Stresses
  • Strain Gages
  • Stresses

Fields of Study

  • Engineering
  • Physics

Readers

  • Atmospheric Science / Meteorology, specifically Wind Wave Turbulence.
  • Control Systems Engineering.
  • Materials Science (Mechanical Engineering).