COMPLETE ANALYTICAL FORMULATIONS FOR 3-UNEQUAL-LEGGED 2-TIER HIGHWAY-BRIDGE PIER BENTS OF VARIABLE-I UNDER ALL AASHO LOADINGS AND COMBINATIONS

THE REPORT DEVELOPS AN ANALYTICAL TREATMENT HERETOFORE LACKING IN TECHNICAL LITERATURE' COMPLETE ANALYTICAL FORMULATIONS FOR THE SOLUTION OF 3-UNEQUAL-LEGGED, 2-TIER, HIGHWAY-BRIDGE PIER BENTS WITH SEGMENTS OF COLUMNS AND BOTH TOP GIRDER AND INTERMEDIATE HORIZONTAL MEMBERS OF VARYING MOMENT OF INERTIA, UNDER ALL APPLICABLE AASHO LOADINGS. WORKING SLOPE-DEFLECTION EQUATIONS ARE DERIVED BY MATRIX ENERGY METHODS FOR ANY MEMBER OF VARIABLE I IN A RIGID FRAME OF ANY CONFIGURATION. EXPRESSIONS FOR FIXED-END MOMENTS AND FRAME CONSTANTS ARE DETERMINED FOR MEMBERS WITH /A/ ASSYMMETRICAL GIRDER SOFFIT, /B/ SYMMETRICAL GIRDER SOFFIT, AND /C/ SYMMETRICAL PARABOLIC SOFFIT. EXPRESSIONS ARE SET UP FOR ALL THE END-MOMENTS CORRESPONDING TO A LABELED DIAGRAM OF THE GENERAL CONFIGURATION OF THE BENT. THESE END MOMENT EQUATIONS ARE USED TO WRITE EIGHT SIMULTANEOUS EQUATIONS IN MATRIX FORM BY SATISFYING JOINT AND BENT EQUILIBRIUM. THE COEFFICIENT MATRIX DEPENDS ONLY ON THE GEOMETRY AND STRUCTURAL PROPERTIES OF THE BENT AND THE UNKNOWN COLUMN CONSISTS OF THE DISPLACEMENTS. THE CONSTANT COLUMN OR LOADING VECTOR IS DETERMINED BY THE LOADING. WHEN ALL THE DISPLACEMENTS ARE DETERMINED, THEY ARE SUBSTITUTED INTO THE ORIGINAL END-MOMENT EQUATIONS TO OBTAIN THE END-MOMENT VALUES. KNOWING THE END-MOMENTS THE REACTIONS AND INTERNAL AXIAL STRESSES, MOMENTS, AND SHEARS MAY BE COMPUTED BY APPLYING PRINCIPLES OF STATICS. A MATRIX METHOD IS SIMILARLY DEVELOPED TO ANALYZE THE BENT SUBJECTED TO THERMAL RISE AND FALL AND SHRINKAGE. EACH TYPE OF LOADING FOR WHICH AASHO SPECIFICATIONS INDICATE THE STRUCTURE BE PROPORTIONED IS DISCUSSED, AND COMMENTS ARE MADE WITH REFERENCE TO THE AASHO GROUP LOADINGS. /BPR/

• Supplemental Notes:
  • Hpr-hps 1/26/, STATE RES PROF ?617, NOV64
• Corporate Authors:

  South Dakota School of Mines and Technology, Rapid City

  501 East St Joseph Street
  Rapid City, SD  United States  57701
• Authors:
  • Li, S T
• Publication Date: 1964-11

Subject/Index Terms

• TRT Terms: Bents; Bridge substructures; Columns; Deflection; Development; Engineering moments; Equations; Formulations; Girders; Grading (Earthwork); Highway bridges; Loads; Matrices (Mathematics); Offshore drilling platforms; Piers (Supports); Piers (Wharves); Solutions (Chemistry); Structural analysis
• Identifier Terms: American Association of State Highway Officials
• Uncontrolled Terms: Loading
• Old TRIS Terms: 3-Unequal-legged 2-tier; Analytical; Fixed-end; Matrix-energy method; Moments; Slope-deflection; Solutions; Top
• Subject Areas: Bridges and other structures; Highways;

Filing Info

• Accession Number: 00207746
• Record Type: Publication
• Files: TRIS
• Created Date: Oct 1 1994 12:00AM