(PARTS 1 & 2) A NONLINEAR ANALYSIS OF STATICALLY LOADED PLANE FRAMES USING A DISCRETE ELEMENT MODEL

A DISCRETE ELEMENT ANALYSIS THAT 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 STIFFNES 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. THE FRAME MEMBERS ARE DIVIDED INTO A NUMBER OF DISCRETE ELEMENTS WHOSE STIFFNESS MATRIX IS OBTAINED BY APPLYING CASTIGLIANO'S FIRST THEOREM. VALID LOAD-DISPLACEMENT EQUATIONS FOR AN INDIVIDUAL DISCRETE ELEMENT ARE DERIVED 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. A NUMBER OF PROBLEMS ARE WORKED AND COMPARED WITH EXISTING ANALYTICAL OR EXPERIMENTAL SOLUTIONS. THESE EXAMPLE PROBLEMS DEMONSTRATE THE ABILITY OF THE ANALYSIS TO PREDICT THE GENERAL LOAD-DISPLACEMENT RESPONSE OF (1) MEMBERS THAT UNDERGO LARGE DISPLACEMENTS, (2) STEEL FRAMES, (3) REINFORCED CONCRETE FRAMES, (4) CONTINUOUS PRESTRESSED CONCRETE BEAMS, AND (5) FRAMES INVOLVING SOILSTRUCTURE INTERACTION. /AUTHOR/

• 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:
  • Hays, C O
  • Matlock, H
• Publication Date: 0

Subject/Index Terms

• TRT Terms: Deformation curve; Design methods; Frames; Simulation; Static loads; Stiffness; Structural analysis; Theory
• Uncontrolled Terms: Design models
• Old TRIS Terms: Static loading
• Subject Areas: Bridges and other structures; Design; Highways;

Filing Info

• Accession Number: 00208031
• Record Type: Publication
• Source Agency: Federal Highway Administration
• Report/Paper Numbers: Study No 56-23
• Files: TRIS, USDOT, STATEDOT
• Created Date: Mar 27 1972 12:00AM