DEVELOPMENT AND APPLICATION OF A NEW MATRIX-ENERGY METHOD FOR ANALYZING ALL STRESSES IN RIGIDLY-CONNECTED HIGHWAY BRIDGE TRUSSES

AN EFFORT IS MADE TO ADVANCE A UNIFIED LOGICAL METHOD FOR ANALYZING THE TRUE STRESS STATES IN RIGIDLY CONNECTED BRIDGE TRUSSES. THE REPORT IS DIVIDED INTO TWO PARTS' /A/ BASIC RESEARCH AND DEVELOPMENT, AND /B/ INTEGRATED SYNTHETIC APPLICATION WITH AUTOMATIC LOGICAL CHECKS. THE THEORETICAL DEVELOPMENT OF THE PROPOSED MATRIX-ENERGY METHOD AND EXAMPLES FOR THE ORIENTATION OF ITS EXACT AND SIMPLIFIED VERSIONS ARE SET FORTH. THE METHOD OF PANEL-LOAD SUPERPOSITION IS ADVANCED AS A POWEREFUL SUBSTITUTE FOR INFLUENCE LINES AND THE METHODS OF SUBSTITUTION AND TRANSFORMATION AS EFFICIENT WAYS FOR REDUCING THE NUMBER OF UNKNOWNS AND THE UNAVOIDABLE SOLUTION OF LARGE SETS OF SIMULTANEOUS EQUATIONS IS CLARIFIED. ALSO INCLUDED IS AN INTEGRATED SYNTHETIC APPLICATION OF THOSE POINTS DEVELOPED TO A COMPLICATION ANALYSIS. TO ILLUSTRATE A COMPREHENSIVE SCHEME WITH ONLY A SMALL COMPUTER AVAILABLE, A THREE-SPAN CONTINUOUS HIGHWAY BRIDGE TRUSS HAS BEEN SELECTED FOR THE OBJECTIVE ANALYSIS. THE CLOSE CORRESPONDENCE OF ALL MAXIMUM DESIGN AXIAL STRESSES TO THESE DETERMINED BY THE CONVENTIONAL METHOD DEMONSTRATES THE VALIDITY OF THE PROPOSED METHOD. THE PROPOSED METHOD YIELDS MOST EXPEDIENTLY TWO MAXIMUM STRESS STATES' /A/ MAXIMUM AXIAL STRESSES AND SIMULTANEOUS END MOMENTS AND TRANSVERSE SHEARS;AND /B/ MAXIMUM END MOMENTS AND SIMULTANEOUS AXIAL STRESSES AND TRANSVERSE SHEARS. THE LARGER REQUIREMENT OF THE TWO CONSTITUTES THE ABSOLUTE MAXIMUM STRESS STATE THAT SHOULD GOVERN THE DE- SIGN. AUTOMATIC LOGICAL CHECKS FOR PROGRAMMED COMPUTATION ARE PRESENTED. AN INDEPENDENT PROOF FOR THE SYMMETRIC COEFFICIENT MATRIX AND A VALIDITY DEMONSTRATION FOR THE METHOD OF TRANSFORMATION ARE INCLUDED. /AUTHOR/

• Supplemental Notes:
  • Additional support provided by US Bureau of Public Roads.
• Corporate Authors:

  South Dakota School of Mines and Technology, Rapid City

  Department of Civil and Environmental Engineering, 500 East St Joseph Street
  Rapid City, SD  United States  57701

  South Dakota Department of Highways

  Research and Planning Division
  Pierre, SD  United States  57501
• Authors:
  • Li, S T
  • Jong, I
  • Russell, J E
  • Samra, M
• Publication Date: 1963-9

Media Info

• Features: Appendices; Figures; Tables;

Subject/Index Terms

• TRT Terms: Axial loads; Bridges; Development; Highway bridges; Integrated systems; Mathematical analysis; Matrices (Mathematics); Methodology; Shear strength; Structural analysis; Superposition (Geology); Transformations (Mathematics); Trusses
• Uncontrolled Terms: Axial stress; Integration
• Old TRIS Terms: End moments; Matrix-energy method; Rigid frame bridges; Superposition
• Subject Areas: Bridges and other structures; Highways;

Filing Info

• Accession Number: 00207706
• Record Type: Publication
• Report/Paper Numbers: Technical Report
• Files: TRIS, STATEDOT
• Created Date: Dec 12 2003 12:00AM