EXACT TANGENT STIFFNESS FOR IMPERFECT BEAM-COLUMN MEMBERS

The exact tangent and secant stiffness matrices of an initially curved beam-column element under predominant axial force and end moments are derived. The stability function of solving the differential equilibrium equation for the beam-column element is further extended to allow for the important effect of member initial imperfection. The accuracy of this developed element makes the convergence rate for equilibrium and resistance against divergence better than that by the conventional cubic element or other currently available elements. The use of a single element per member is adequate enough for the extreme case of a column with both ends fixed, in which even two cubic elements cannot generate an accurate result. As a single element can sufficiently model a member, the second-order analysis, the nonlinear integrated design and analysis, and the advanced analysis become simple, reliable, and easy to use for practical design. The present element can also be used as a benchmark element for second-order elastic analysis of two- and three-dimensional frames and represents the ultimate solution for the imperfect element under Timoshenko's beam-column theory.

• Availability:
  • Find a library where document is available. Order URL: http://worldcat.org/issn/07339445
• Supplemental Notes:
  • Page Range: pp 1094-1102
• Corporate Authors:

  American Society of Civil Engineers

  1801 Alexander Bell Drive
  Reston, VA  United States  20191-4400
• Authors:
  • Chan, S-L
  • Gu, J-X
• Publication Date: 2000-9

Language

• English

Media Info

• Features: Appendices; Figures; References;
• Pagination: 9 p.
• Serial:
  • Journal of Structural Engineering
  • Volume: 126
  • Issue Number: 9
  • Publisher: American Society of Civil Engineers
  • ISSN: 0733-9445
  • Serial URL: http://ascelibrary.org/loi/jsendh

Subject/Index Terms

• TRT Terms: Axial loads; Beams; Buckling; Columns; Compression; Deformation; Differential equations; Equilibrium methods (Structural analysis); Frames; Secant; Stability analysis; Stiffness matrix; Structural members; Tangent track; Tension
• Subject Areas: Bridges and other structures; Design; Highways; I24: Design of Bridges and Retaining Walls;

Filing Info

• Accession Number: 00798477
• Record Type: Publication
• Files: TRIS
• Created Date: Sep 20 2000 12:00AM