EXACT STATIC SOLUTION OF GRILLWORK WITH PERIODIC SUPPORTS

The rectangular grillwork with simply supported boundary condition and periodically distributed internal supports is investigated by using the double U-transformation technique. The equivalent grillwork with cyclic periodicity in two (x and y) directions can be produced by using the image method. The equilibrium equations of nodes of the equivalent grillwork possess cyclic periodicity in the two directions. In the process of analysis for the equivalent grillwork, the double U-transformation is used twice. First, by applying the double U-transformation once, the simultaneous equations for the support reactions are derived. Second, by applying the double U-transformation again, the simultaneous equations can be uncoupled into a set of single-degree-of-freedom equations, thus leading to the exact solution. As an example, a square grillwork with a 6-by-6 mesh and 2-by-2 internal supports is worked out by means of the formulas derived in this study. It can be proven that the explicit closed-form results satisfy the nodal equilibrium equations, the support conditions, and the boundary conditions exactly.

• Availability:
  • Find a library where document is available. Order URL: http://worldcat.org/issn/07339399
• Supplemental Notes:
  • This paper was partially supported by Zhongshan University Advanced Research Center (No. 99M6).
• Corporate Authors:

  American Society of Civil Engineers

  1801 Alexander Bell Drive
  Reston, VA  United States  20191-4400
• Authors:
  • Chan, H C
  • Cai, C W
  • Liu, J K
• Publication Date: 2000-5

Language

• English

Media Info

• Features: Appendices; Figures; References;
• Pagination: p. 480-487
• Serial:
  • Journal of Engineering Mechanics
  • Volume: 126
  • Issue Number: 5
  • Publisher: American Society of Civil Engineers
  • ISSN: 0733-9399
  • EISSN: 1943-7889
  • Serial URL: http://ascelibrary.org/journal/jenmdt

Subject/Index Terms

• TRT Terms: Beams; Degrees of freedom; Equilibrium (Mechanics); Static structural analysis; Stiffness; Structural analysis; Supporting; Time intervals; Vibration
• Uncontrolled Terms: Grillwork; U transformation
• Subject Areas: Bridges and other structures; Design; Highways; I24: Design of Bridges and Retaining Walls;

Filing Info

• Accession Number: 00794061
• Record Type: Publication
• Contract Numbers: DSWA01-97-C-0171, CMS-9800136, 99M6
• Files: TRIS
• Created Date: Jun 23 2000 12:00AM