ANALYSIS OF BRIDGE DECK SLABS

RESULTS ARE PRESENTED OF A RESEARCH PROJECT ON THE ANALYSIS OF CONTINUOUS SKEW BRIDGE DECK SLABS OF VARIABLE RIGIDITY WITH OR WITHOUT EDGE BEAMS. THE SOLUTION IS FOUND BY EXPRESSING THE PLATE DEFLECTION IN TERMS OF A COMBINED SINGLE AND DOUBLE SUMMATION SERIES. THE NUMBER OF ARBITRARY CONSTANTS IS CHOSEN SUCH THAT THEY EQUAL THE NUMBER OF EQUATIONS EXPRESSING THE BOUNDARY CONDITIONS AND THOSE USED FOR MINIMIZING THE ERROR FUNCTION. THE ERROR FUNCTION IS MINIMIZED BY IMPOSING A SET OF ORTHOGONALITY CONDITIONS SIMILAR TO THOSE USED IN THE STANDARD GALERKIN METHOD. THE METHOD USED, HOWEVER, IS DIFFERENT FROM THE STANDARD PROCEDURE IN THAT THE ASSUMED EXPRESSION FOR THE DEFLATED SHAPE DOES NOT SATISFY THE BOUNDARY CONDITIONS TERM BY TERM BUT EACH CONDITION IS SATISFIED BY DEVELOPING THE BOUNDARY EQUATION IN A SINGLE FOURIER SINE SERIES AND SETTING EACH FOURIER COEFFICIENT EQUAL TO ZERO. THREE COMPUTER PROGRAMS HAVE BEEN DEVELOPED USING FORTRAN IV. PROGRAM A SERVES TO DETERMINE THE DEFLECTIONS, MOMENTS AND SUPPORT SHEARS DUE TO UNIFORM LOADING AS WELL AS THE EXTREME VALUES DUE TO TRUCK LOADING. PROGRAM B CALCULATES THE EXTREME VALUES OF DEFLECTION, MOMENTS AND SUPPORT SHEARS DUE TO LANE AND KNIFE EDGE LOADING. PROGRAM C IS FOR A SINGLE CONCENTRATED LOAD AND CAN BE USED TO CALCULATE THE EFFECTS OF A SINGLE SPAN LOADED UNIFORMLY. ALL PROGRAMS WERE DEVELOPED FOR ANY ANGLE OF SKEWNESS, ANY COMBINATION OF SPAN RATIOS AND COULD BE USED IN ITS PRESENT FORM FOR A 4-SPAN CONTINUOUS DECK SLAB. BY CHANGING THE COMMON DIMENSIONS, ANY NUMBER OF SPANS AND APPROXIMATIONS CAN BE USED. COMPARISON WITH EARLIER WORK DONE BY USING THE FINITE DIFFERENCE METHOD AND SPECIAL CASES WITH CONTINUOUS BEAM ANALYSIS INDICATES THAT ACCURATE VALUES CAN BE OBTAINED WITH A LIMITED NUMBER OF TERMS. /BPR/

• Supplemental Notes:
  • 66-1, Hpr-1(5)
• Corporate Authors:

  University of Kansas, Lawrence

  Department of Civil, Environmental and Architectural Engineering
  1530 West 15th Street
  Lawrence, KS  United States  66045-7609

  Kansas State Highway Commission

  State Office Building
  Topeka, KS  United States  66612

  Bureau of Public Roads /US

  400 7th Street, SW
  Washington, DC  United States  20590
• Authors:
  • Willems, N
  • Mahmood, S
• Publication Date: 0

Subject/Index Terms

• TRT Terms: Bridge decks; Bridge design; Bridge members; Bridges; Computer programs; Concrete; Continuous structures; Deflection; Engineering moments; Fourier series; Length; Loads; Mathematical analysis; Shear stress; Skew bridges; Skewed structures; Stiffness; Structural analysis; Structural design; Structural plates; Variables
• Uncontrolled Terms: Bridge spans; Loading; Plates; Skewness
• Old TRIS Terms: Continuous skewed slab bridges; Moments
• Subject Areas: Bridges and other structures; Highways;

Filing Info

• Accession Number: 00207937
• Record Type: Publication
• Source Agency: Bureau of Public Roads /US
• Files: TRIS
• Created Date: Apr 16 1970 12:00AM