Asymptotic Derivation of Shear Beam Theory from Timoshenko Theory

A systematic reduction of Timoshenko beam theory to shear beam theory is presented and compared to a parallel reduction to Euler–Bernoulli theory. The agreement between Timoshenko and shear theories is seen to improve as the ratio of Young's modulus to shear modulus increases, as the mode number increases, and as the beam becomes fatter, which are the opposite trends for agreement between Timoshenko and Euler–Bernoulli theories.

• Availability:
  • Find a library where document is available. Order URL: http://worldcat.org/issn/07339399
• Supplemental Notes:
  • Abstract reprinted with permission from ASCE
• Authors:
  • Hodges, Dewey H
• Publication Date: 2007-8

Language

• English

Media Info

• Media Type: Print
• Features: Figures; References;
• Pagination: pp 957-961
• Serial:
  • Journal of Engineering Mechanics
  • Volume: 133
  • Issue Number: 8
  • Publisher: American Society of Civil Engineers
  • ISSN: 0733-9399
  • EISSN: 1943-7889
  • Serial URL: http://ascelibrary.org/journal/jenmdt

Subject/Index Terms

• TRT Terms: Asymptotic expansion; Beams; Shear modulus; Structural members; Young's modulus
• Uncontrolled Terms: Euler beams; Shear beam theory; Timoshenko beam theory
• Subject Areas: Bridges and other structures; Design; Highways; I24: Design of Bridges and Retaining Walls;

Filing Info

• Accession Number: 01055355
• Record Type: Publication
• Files: TRIS
• Created Date: Aug 21 2007 10:13PM