HORIZONTALLY CURVED HIGHWAY BRIDGES

AN ANNULAR SEGMENT FINITE ELEMENT IS DEVELOPED FOR THE DISPLACEMENT METHOD OF ANALYSIS OF THIN PLATES SUBJECTED TO MEMBRANE AND/OR BENDING STRESSES. THE FORM OF THE ELEMENT DISPLACEMENT EXPANSION USED IS SUCH THAT THE ELEMENT IS OF THE CONFORMING TYPE. THE ELEMENT STIFFNESS AND STRESS MATRICES ARE DERIVED FOR A HOMOGENEOUS, LINEARLY ELASTIC, CYLINDRICALLY ORTHOTROPIC MATERIAL. THE ASSUMED FORM OF THE ELEMENT DISPLACEMENT EXPANSION IS TAKEN AS THE PRODUCTS OF 1-DIMENSIONAL, FIRST ORDER, HERMITE INTERPOLATION POLYNOMIALS EXPRESSED IN POLAR COORDINATES. THE SAME FORM OF DISPLACEMENT EXPANSION IS USED FOR ALL THREE DISPLACEMENT COMPONENTS (RADIAL, TANGENTIAL, AND TRANSVERSE), THUS MAKING THE ELEMENT FULLY COMPATIBLE. THAT IS, THE ELEMENT CAN BE JOINED AT OUT-OF-PLANE ANGLES WITH SOME EXISTING ELEMENTS WHILE MAINTAINING THE SATISFACTION OF THE CONVERGENCE CRITERIA. THIS OPTION WILL BE OF GREAT IMPORTANCE WHEN USING THIS ELEMENT IN THE ANALYSIS OF COMPLEX, BUILT-UP STRUCTURES, SUCH AS HORIZONTALLY CURVED BRIDGES. THE ANNUALR SEGMENT ELEMENT HAS FOUR NODES AND FORTY-EIGHT DEGREES OF FREEDOM, TWELVE AT EACH NODE. EACH OF THE THREE DISPLACEMENT COMPONENTS PER NODE (RADIAL, TANGENTIAL, AND TRANSVERSE) HAS FOUR DEGREES OF FREEDOM; THE DISPLACEMENT ITSELF, THE FIRST PARTIAL DERIVATIVES IN THE RADIAL AND TANGENTIAL DIRECTIONS, AND THE CROSS DERIVATIVE. A COMPUTER PROGRAM, FORTRAN IV, IS USED TO OBTAIN THE NUMERICAL SOLUTIONS FOR STRESSES AND DEFLECTIONS OF SIX SAMPLE PROBLEMS IN ORDER TO ESTABLISH THE ACCURACY AND CONVERGENCE OF THE ELEMENT. FIVE CLASSICAL PLATE PROBLEMS AND ONE HORIZONTALLY CURVED BRIDGE PROBLEM ARE SOLVED. THE PROBLEMS ARE: (1) AN ANNULAR PLATE SIMPLY SUPPORTED AROUND ITS OUTSIDE CIRCUMFERENCE AND SUBJECTED TO A UNIFORMLY DISTRIBUTED TRANSVERSE LOAD OVER THE ENTIRE PLATE; (2) AN ANNULAR PLATE SIMPLY SUPPORTED AROUND ITS OUTSIDE CIRCUMFERENCE AND SUBJECTED TO A UNIFORMLY DISTRIBUTED RADIAL BENDING MOMENT ON THE INSIDE CIRCUMFERENCE; (3) A SIMPLY SUPPORTED CIRCULAR PLATE WITH A CONCENTRATED TRANSVERSE LOAD AT ITS CENTER; (4) A CLAMPED CIRCULAR PLATE WITH A CONCENTRATED TRANSVERSE LOAD MIDWAY BETWEEN THE CENTER AND OUTSIDE RADIUS; (5) AN ANNUALR PLATE SUBJECTED TO A UNIFORM RADIAL PRESSURE AROUND THE OUTSIDE CIRCUMFERENCE; AND (6) THE BENDING ANALYSIS OF A HORIZONTALLY CURVED BRIDGE DECK SLAB WITH A CENTRAL HINGE AND SUBJECTED TO A LINE LOADING. /FHWA/

  • Supplemental Notes:
    • FH-11-7389
  • Corporate Authors:

    University of Pennsylvania Law School

    3400 Chestnut Street
    Philadelphia, PA  USA  19104
  • Authors:
    • Shore, S
    • Lansberry, C R
  • Publication Date: 1972-2

Media Info

  • Pagination: 198 p.

Subject/Index Terms

Filing Info

  • Accession Number: 00208063
  • Record Type: Publication
  • Source Agency: Federal Highway Administration
  • Files: TRIS, USDOT
  • Created Date: Apr 8 1973 12:00AM