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Applied Scientific Research

, Volume 20, Issue 1, pp 326–337 | Cite as

Stress concentration and load diffusion in rectangular panels with constant stress flanges

  • B. Dattaguru
  • A. K. Rao
Article

Abstract

The stress concentration that occurs when load is diffused from a constant stress member into thin sheet is an important problem in the design of light weight structures. By using solutions in biharmonic polar-trigonometric series, the stress concentration can be effectively isolated so that highly accurate information necessary for design can be obtained. A method of analysis yielding high accuracy with limited effort is presented for rectangular panels with transverse edges free or supported by inextensional end ribs. Numerical data are given for panels with length twice the width.

Keywords

Stress Concentration Flange Numerical Data Accurate Information Light Weight 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

Nomenclature

a, b

semi length, semi width of panel

EIf, EIr

flexural stiffness of flange and end rib, respectively

EAr

axial stiffness of end rib

F

flange area

P

flange load

q

shear applied to panel along its edges

t

thickness of the panel

x, y

Cartesian coordinates

r, θ

polar coordinates

σAB, σDC

constant axial stress in flanges AB and DC, respectively

σx, σy, σxy

direct and shear stress in Cartesian coordinates

σγ, σα, σγγ

direct and shear stress in polar coordinates

φ

Airy stress function

Subscripts to F and P

single letters

indicate location (e.g. PA

pairs of letters

indicate flange along which the quantity varies (e.g. PAB)

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References

  1. [1]
    Rao, A. K. and B. Dattaguru, A discussion (to be published in J. Appl. Mech.) on “Analysis of a Semi-Infinite Strip with Constant Stress Flanges under Concentrated Loads”, H. R. Meck, J. Appl. Mech. 33 (1966) 571.Google Scholar
  2. [2]
    Mansfield, E. H., Rep. and Mem. No. 2965, Aeronautical Res. Council, Her Majesty's Stationary Office, London January 1954.Google Scholar
  3. [3]
    Rao, A. K., A Study into the Problem of Diffusion of Loads, Ph.D. thesis, University of London, London 1958.Google Scholar
  4. [4]
    Dattaguru, B., Ph.D. thesis on load diffusion and stress concentration (under preparation), Indian Institute of Science, Bangalore, India.Google Scholar
  5. [5]
    Timoshenko, S., and J. N. Goodier, Theory of Elasticity, McGraw-Hill, New York 1953.Google Scholar
  6. [6]
    Mitchell, L. H., Rep. and Mem. No. 2878, Aeronautical Res. Council, Her Majesty's Stationary Office, London May 1952.Google Scholar
  7. [7]
    Mitchell, L. H., Rep. SM 232, Aeronautical Res. Lab., Dept. of Supply, Melbourne (Vict.) Australia 1955.Google Scholar

Copyright information

© Martinus Nijhoff 1969

Authors and Affiliations

  • B. Dattaguru
    • 1
  • A. K. Rao
    • 1
  1. 1.Dept. of Aeronautical Eng.Indian Institute of ScienceBangalore - 12India

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