A NONLINEAR ANALYSIS OF STATICALLY LOADED PLANE FRAMES USING A DISCRETE ELEMENT MODEL

A DISCRETE ELEMENT ANALYSIS WHICH CONSIDERS GEOMETRIC, MATERIAL, AND SUPPORT NONLINEARITIES OF STATICALLY LOADED PLANE FRAMES IS DEVELOPED. A COMPUTER PROGRAM HAS BEEN WRITTEN TO IMPLEMENT AND VERIFY THE ANALYSIS. FRAME GEOMETRY, LOADS, CROSS SECTIONS, AND SUPPORTS (NONLINEAR CONCENTRATED AND DISTRIBUTED SPRINGS) CAN BE SUFFICIENTLY GENERAL TO WORK PRACTICAL FRAME PROBLEMS. THE METHOD OF ANALYSIS IS BASED ON AN ITERATIVE PROCEDURE CALLED THE TANGENT STIFFNESS METHOD. UNBALANCED NODAL POINT FORCES ARE APPLIED TO A TEMPORARILY LINEAR STRUCTURE WHOSE POSITION DEPENDENT STIFFNESS MATRIX IS THE TANGENT STIFFNESS MATRIX OF THE STRUCTURE. LOAD-DISPLACEMENT EQUATIONS FOR AN INDIVIDUAL DISCRETE ELEMENT ARE DERIVED WHICH ARE VALID FOR LARGE DISPLACEMENTS. A NUMERICAL TECHNIQUE IS USED TO DETERMINE THE FORCE-DEFORMATION RESPONSE OF A CROSS SECTION WITH NONLINEAR STRESS-STRAIN CURVES. LOADS AND NONLINEAR SUPPORTS ARE INPUT IN NORMAL ENGINEERING TERMS AND CAN BE REFERENCED EITHER TO THE STRUCTURE OR TO THE MEMBER AXES. WHEN NECESSARY, THE LOADS AND NONLINEAR SUPPORTS ARE INTERNALLY TRANSFORMED TO MEMBER COORDINATES AND DISCRETIZED TO CONCENTRATED VALUES AT THE NODAL POINTS. CASTIGLIANO'S FIRST THEOREM IS APPLIED TO DEVELOP MATRIX EXPRESSIONS FOR THE STIFFNESS MATRIX OF A GENERAL DISCRETE ELEMENT AND THESE EXPRESSIONS ARE USED TO OBTAIN THE STIFFNESS MATRIX FOR THE SPECIFIC DISCRETE ELEMENT USED IN THE FRAME SOLUTIONS. A NUMBER OF PROBLEMS ARE WORKED AND COMPARED WITH EXISTING ANALYTICAL OR EXPERIMENTAL SOLUTIONS. /FHWA/

  • Supplemental Notes:
    • RES REP 56-23 CONT NO: RES STD 3-5-63-56
  • Corporate Authors:

    University of Texas, Austin

    Center for Highway Research, 200 West 21st Street
    Austin, TX  United States  78712

    Texas State Department of Highways & Public Transp

    11th and Brazos Streets
    Austin, TX  United States  78701

    Federal Highway Administration

    1200 New Jersey Avenue, SE
    Washington, DC  United States  20590
  • Authors:
    • Hayes, C O
    • Matlock, H
  • Publication Date: 0

Media Info

  • Pagination: 383 p.

Subject/Index Terms

Filing Info

  • Accession Number: 00208081
  • Record Type: Publication
  • Source Agency: Federal Highway Administration
  • Report/Paper Numbers: Int Rep
  • Files: TRIS, USDOT, STATEDOT
  • Created Date: Aug 20 1973 12:00AM