STRESS CONCENTRATION AT EXTERNAL NOTCHES IN MEMBERS SUBJECTED TO AXIAL LOADINGS

THE PRINCIPAL OBJECT OF THIS STUDY WAS THE DETERMINATION OF THE EFFECTS OF THE VARIOUS GEOMETRICAL PARAMETERS CHARACTERIZING THE PROFILES OF PROJECTING NOTCHES ON THE ASSOCIATED STRESS CONCENTRATION FACTORS. IN PARTICULAR, NOTCHES WITH CIRCULAR TRANSITION CURVES OCCURRING SYMMETRICALLY IN A RECTANGULAR BAR SUBJECTED TO AXIAL LOADING ARE CONSIDERED. THE METHOD OF ANALYSIS USED ACCOMPLISHES THE STUDY INDIRECTLY BY CONSIDERING THE EFFECTS OF THE DIFFERENT GEOMETRICAL PARAMETERS ON THE MAGNITUDE AND DISTRIBUTION OF THE SHEARING STRESSES ALONG THE BASE SECTION OF A PROJECTING NOTCH. AS A PRELIMINARY STEP, THE STRESSES ALONG SELECTED SECTIONS IN A PROJECTING NOTCH IN A HALF- PLANE WERE OBTAINED USING A SOLUTION GIVEN BY H. NEUBER. USING THESE DATA AND A SOLUTION FOR THE STRESSES IN A RECTANGULAR BAR RESULTING FROM SURFACE STRESS LOADS /DUE TO L.N.G. FILON/, IT IS SHOWN THAT THE MAXIMUM LONGITUDINAL STRESS ALONG THE BASE SECTION OF A PROJECTING NOTCH IS PRODUCED PRIMARILY BY THE SHEARING STRESS COMPONENT ALONG THE BASE SECTION. THE EFFECT OF THE NORMAL STRESS COMPONENT ALONG THE SAME SECTION IS SHOWN TO BE NEGLIGIBLE. THIS HAS LED TO THE OBSERVATION THAT THE MAXIMUM STRESS IN A PROJECTING NOTCH MAY BE REASONABLY APPROXIMATED BY THE LONGITUDINAL STRESS IN A PLAIN RECTANGULAR BAR SUBJECTED TO AN AXIAL LOAD AND A SURFACE-SHEAR STRESS LOADING OF THE PROPER MAGNITUDE AND DISTRIBUTION. USING THE RESULTS OF THE EQUIVALENT SURFACE-SHEAR LOAD METHOD, WHICH APPROXIMATES THE STRESS-RAISING ACTION OF A PROJECTING NOTCH, A PROCEDURE WAS DEVELOPED FOR ESTABLISHING A CORRELATION BETWEEN THE STRESS CONCENTRATION FACTOR AND THE GEOMETRICAL PARAMETERS CHARACTERIZING THE PROFILE OF PROJECTING NOTCHES. THE PROCEDURE DEVELOPED ALLOWS THE EXTENSION OF RESULTS OF CALCULATIONS FOR A RELATIVELY FEW CASES TO A WIDER RANGE OF VALUES OF THE GEOMETRICAL PARAMETERS. THE RESULTING RELATIONSHIPS, OBTAINED FOR THE CASE OF NEUBERS NOTCHES AND ALSO FOR IDEALIZED PROJECTING NOTCHES /IN WHICH THE STRESSES WERE OBTAINED USING A FINITE DIFFERENCE SOLUTION/, PROVIDE A CLEAR INDICATION OF THE EFFECTS OF THE VARIOUS PARAMETERS CONSIDERED. /AUTHOR/

• Corporate Authors:

  University of Illinois, Urbana-Champaign

  Urbana, IL  United States  61801

  Illinois Department of Transportation

  Division of Highways, 2300 South Dirksen Parkway
  Springfield, IL  United States  62764
• Authors:
  • Derecho, A T
  • Munse, W H
• Publication Date: 1966-9

Subject/Index Terms

• TRT Terms: Axial loads; Bars (Building materials); Finite differences; Metals; Shear stress; Shear tests; Strength of materials; Stresses
• Uncontrolled Terms: Stress concentration
• Old TRIS Terms: Notch strength
• Subject Areas: Bridges and other structures; Highways;

Filing Info

• Accession Number: 00207840
• Record Type: Publication
• Source Agency: Bureau of Public Roads /US
• Report/Paper Numbers: Ihr-64
• Files: TRIS
• Created Date: Sep 15 1994 12:00AM